Math Homework Answers - Recent questions and answers in Word Problem Answers
https://www.mathhomeworkanswers.org/qa/word-problem-answers
Powered by Question2AnswerAnswered: 48 apples need to be divided into a ratio of 2:4:6 to fit into three different buckets. How many apples go into the smallest bucket?
https://www.mathhomeworkanswers.org/275250/apples-divided-ratio-different-buckets-apples-smallest-bucket?show=275279#a275279
Let 2x, 4x and 6x be the number of apples that goes in small, middle and big bucket.<br />
<br />
So total number of apples can be given as<br />
<br />
2x + 4x +6x = 48<br />
<br />
12x =48<br />
<br />
x =4<br />
<br />
So each part of group of apples is 4,<br />
<br />
So the smallest bucket contains 2*x = 2*4 = 8 apples<br />
<br />
Answer: small bucket gets 8 apples.Word Problem Answershttps://www.mathhomeworkanswers.org/275250/apples-divided-ratio-different-buckets-apples-smallest-bucket?show=275279#a275279Thu, 02 Jul 2020 10:11:56 +0000Answered: A section of the zoo there are only snakes and lizards. There are 24 legs and 24 tails in the the section. How many snakes are there?
https://www.mathhomeworkanswers.org/275249/section-there-snakes-lizards-there-tails-section-snakes-there?show=275278#a275278
Let the x and y denote number of snakes and lizards.<br />
<br />
Since snakes have no legs and lizards have 4 legs. So the equation can be written as<br />
<br />
0x + 4y = 24<br />
<br />
=> 4y = 24<br />
<br />
=> y = 6 --------------------------(1)<br />
<br />
Also, both snakes and lizards have one tail. Therefore the equation can be formed as<br />
<br />
x + y = 24<br />
<br />
=> x = 24 - y<br />
<br />
=> x = 24 - 6 (from equation 1)<br />
<br />
=> x = 18<br />
<br />
So there are total of 18 snakes in the section of the zoo.Word Problem Answershttps://www.mathhomeworkanswers.org/275249/section-there-snakes-lizards-there-tails-section-snakes-there?show=275278#a275278Thu, 02 Jul 2020 10:03:52 +0000Answered: 25 people stand in a line to buy tickets. Each person can max purchase 3 tickets. People at the beginning of the line buys 5 tickets until there are none left. How many people receive no tickets?
https://www.mathhomeworkanswers.org/275123/tickets-purchase-tickets-beginning-tickets-receive-tickets?show=275188#a275188
<p style="text-align:justify">Each person is allowed to buy no more than 3 tickets. So the maximum number of tickets that can be bought by the first pair in line would be 6. We are told that only 5 tickets are bought by the first people in line, so this requires one person in a pair to buy 3 and the other to buy 2. Let’s call the number of tickets available for purchase N. Since it takes a pair to buy 5 tickets, then the number of pairs=N/5.</p>
<p style="text-align:justify">The number of people in N/5 pairs is 2N/5. The number of people without tickets is 25-2N/5.</p>
<p style="text-align:justify">We need to find N. We know that 25-2N/5>0, that is, some people get no tickets. Therefore 2N/5<25, and N<125/2, that is, N<62 tickets. However, the first people in line are buying 5 tickets until they run out, so N must be divisible by 5. The nearest multiple of 5 less than 62 is 60, which means that 12 pairs (24 people) bought tickets and 1 person was left without a ticket. If N=55, then 25-2N/5=3 people without tickets; if N=50, then 25-2N/5=5 people without tickets, and so on up to N=5 (23 people get no tickets). If we assume that the maximum number of tickets is 60, then only one person in the line goes without a ticket.</p>
<p style="text-align:justify">The only other way to interpret this question is to assume that the first people in line bought 5 tickets each, which breaks the rule about the maximum of 3, and is therefore not an acceptable assumption. The ticket sellers do not know in advance how many tickets to produce because they don’t know the demand—unless, after seeing 25 people in line they decide on a maximum of 3 per person, making 75 tickets available and restricting sales to a maximum of 3 tickets per person. But 75 exceeds the maximum for N (N<62) and everyone would get a ticket, which is not what the question implies.</p>
<p style="text-align:justify"> </p>
<p style="text-align:justify"> </p>Word Problem Answershttps://www.mathhomeworkanswers.org/275123/tickets-purchase-tickets-beginning-tickets-receive-tickets?show=275188#a275188Tue, 30 Jun 2020 15:02:11 +0000Answered: Sid is building desks. Each desk needs: 4 wooden legs, 2 planks, 5 nails He currently has 13 wooden legs, 9 planks and 22 nails. What is the maximum number of desks can he build?
https://www.mathhomeworkanswers.org/275177/building-wooden-planks-currently-wooden-planks-maximum-number?show=275180#a275180
<p style="text-align:justify">With 13 legs he can make 3 desks because 3×4=12 (one leg spare);</p>
<p style="text-align:justify">With 9 planks he can make 4 desks (one plank spare);</p>
<p style="text-align:justify">With 22 nails he can make 4 desks (two nails spare).</p>
<p style="text-align:justify">The maximum number of desks is 3 because he hasn’t enough legs to make more desks.</p>
<p style="text-align:justify">(He would use 12/13 legs, 6/9 planks and 15/22 nails.)</p>Word Problem Answershttps://www.mathhomeworkanswers.org/275177/building-wooden-planks-currently-wooden-planks-maximum-number?show=275180#a275180Tue, 30 Jun 2020 11:15:34 +0000Answered: How many 2 digit numbers have no digits that are repeated? (For example 11, 22, 33)
https://www.mathhomeworkanswers.org/275176/how-many-digit-numbers-have-digits-that-are-repeated-example?show=275178#a275178
<p style="text-align: justify;">There are 2-digit numbers from 10 to 99, which make 90 numbers. Out of these there are 9 with repeated digits, leaving 90-9=81 with no repeated digits. </p>Word Problem Answershttps://www.mathhomeworkanswers.org/275176/how-many-digit-numbers-have-digits-that-are-repeated-example?show=275178#a275178Tue, 30 Jun 2020 11:05:40 +0000Answered: Kerry is making a pizza. She can choose one type of cheese (mozzarella or cheddar), one meat topping (bacon or ham), and one other topping (tomato or olive). How many different pizzas could she make?
https://www.mathhomeworkanswers.org/275124/making-mozzarella-cheddar-topping-topping-different-pizzas?show=275137#a275137
Option 1) If kerry has to choose atleast one from the given ingredient then she has 2*2*2 = 8 ways to make a pizza.<br />
<br />
Option 2) If kerry can chose neither or all from any given ingredient set then, she now has 4 options,<br />
<br />
a) Choose neither ingredients from a given pile.<br />
<br />
b) Choose one ingredient from the pile<br />
<br />
c) Choose both ingredients<br />
<br />
then the number of ways are 4*4*4=64<br />
<br />
If you are unsure which option to pick then I guess you only want option 1Word Problem Answershttps://www.mathhomeworkanswers.org/275124/making-mozzarella-cheddar-topping-topping-different-pizzas?show=275137#a275137Mon, 29 Jun 2020 17:55:34 +0000Answered: You are given these numbers: 20, 100, 50, 10, 1. Which of these numbers is the smallest number that is ten times the sum of its digits?
https://www.mathhomeworkanswers.org/275072/given-these-numbers-which-numbers-smallest-number-times-digits?show=275076#a275076
<p>The sum of the digits (in the same order) is 2, 1, 5, 1, 1.</p>
<p style="text-align:justify">Ten times these: 20, 10, 50, 10, 10. The smallest of these is 10 which is 10 times the sum of the digits of the fourth number (10).</p>Word Problem Answershttps://www.mathhomeworkanswers.org/275072/given-these-numbers-which-numbers-smallest-number-times-digits?show=275076#a275076Sun, 28 Jun 2020 14:09:10 +0000Answered: Balls are sold in packages of 5 and you have $50. There is a special deal where you can buy a package of 5 balls for $7 and get 1 ball free. What is the maximum number of balls you can get?
https://www.mathhomeworkanswers.org/275071/packages-there-special-package-balls-maximum-number-balls?show=275075#a275075
<p style="text-align: justify;">For $49 you can get 7 packages of balls each costing $7, because 7 times $7=$49.</p>
<p style="text-align: justify;">Each package bought entitles you to a free ball, so you get 7 free balls. There are 5 balls in a package, so you get 7×5=35 plus 7 free=42 balls. (And you have $1 change from $50.)</p>Word Problem Answershttps://www.mathhomeworkanswers.org/275071/packages-there-special-package-balls-maximum-number-balls?show=275075#a275075Sun, 28 Jun 2020 14:00:28 +0000Answered: A family of seven eats 68 strawberries. The adults eat 10 strawberries each. The kids eat 6 strawberries each. How many kids are there in the family?
https://www.mathhomeworkanswers.org/275050/family-strawberries-adults-strawberries-strawberries-family?show=275061#a275061
Let number of adults be x and number of kids be y.<br />
<br />
Given,<br />
<br />
x + y =7 => x = 7-y --------------------(1)<br />
<br />
and,<br />
<br />
10x + 6y = 68 -----------------(2)<br />
<br />
Substituting the value of eq(1) in eq(2) we get,<br />
<br />
10(7-y) + 6y =68<br />
<br />
=> 70 - 10y + 6y = 68<br />
<br />
=> 70 -4y = 68<br />
<br />
=> 4y = 2<br />
<br />
=> y=1/2<br />
<br />
The number of children cannot be a fraction. Please recheck your question.Word Problem Answershttps://www.mathhomeworkanswers.org/275050/family-strawberries-adults-strawberries-strawberries-family?show=275061#a275061Sat, 27 Jun 2020 17:59:59 +0000Answered: You bought eight 4 meter pieces of rope for $16 in total. How much did you pay for each meter of rope?
https://www.mathhomeworkanswers.org/275051/bought-eight-meter-pieces-rope-%2416-total-much-each-meter-rope?show=275060#a275060
<p style="text-align: justify;">Eight 4m lengths=32m, costing $16, so 1m costs 16/32=$0.50 or 50c.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/275051/bought-eight-meter-pieces-rope-%2416-total-much-each-meter-rope?show=275060#a275060Sat, 27 Jun 2020 17:54:17 +0000Answered: John is expanding his garden. Currently it is 4m wide and 10m long. He doubles the width and quadruples the length. How does this affect the area of the garden?
https://www.mathhomeworkanswers.org/275010/expanding-garden-currently-doubles-quadruples-affect-garden?show=275038#a275038
Let the length be l and width be w.<br />
<br />
Given, l = 10m and w = 4m<br />
<br />
So Old Area = l * b = 40 m^2<br />
<br />
After expansion, let new length be L and new width be W. So,<br />
<br />
L = 4*l = 4* 10<br />
<br />
and W = 2*w = 2*4<br />
<br />
New Area = L*B = 4*10 * 2*4 = 40 * 8 = 320 m^2Word Problem Answershttps://www.mathhomeworkanswers.org/275010/expanding-garden-currently-doubles-quadruples-affect-garden?show=275038#a275038Sat, 27 Jun 2020 07:38:27 +0000Answered: There are three friends standing in a row: Anil, Ben and Chia. Anil is 30cm taller than Ben and is 45cm taller than Chia. Ben is 120cm tall. How tall is Chia?
https://www.mathhomeworkanswers.org/275011/there-three-friends-standing-30cm-taller-taller-120cm-tall?show=275024#a275024
<p style="text-align: justify;">Anil is 120+30=150cm tall. So Chia is 150-45=105cm tall.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/275011/there-three-friends-standing-30cm-taller-taller-120cm-tall?show=275024#a275024Fri, 26 Jun 2020 23:35:42 +0000Answered: Jock has two pieces of wire, one that is 90m long and the other that is 42m long. He wants to cut the wires up so that each piece is the same length. What is the longest possible length of each piece?
https://www.mathhomeworkanswers.org/274996/pieces-other-wires-piece-length-longest-possible-length-piece?show=275005#a275005
<p style="text-align:justify">Because the wires are to be cut into equal sized pieces, we can write 90=6×15 and 42=6×7.</p>
<p style="text-align:justify">So if he cuts each wire into 6m pieces, he ends up with 22 pieces. And 6m is the longest possible length if both wires are to be cut into equal pieces.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274996/pieces-other-wires-piece-length-longest-possible-length-piece?show=275005#a275005Fri, 26 Jun 2020 09:28:46 +0000Answered: Talia writes 4 tests, and gets an overall average of 70. If she removes her lowest score, her new average is 80. What was her lowest score?
https://www.mathhomeworkanswers.org/274995/writes-overall-average-removes-lowest-score-average-lowest?show=275004#a275004
<p style="text-align: justify;">The total of all tests is 4×70=280. If she removes a score her new total becomes 3×80=240. So the score she removed was 280-240=40.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274995/writes-overall-average-removes-lowest-score-average-lowest?show=275004#a275004Fri, 26 Jun 2020 09:22:13 +0000Answered: A supermarket sells chicken at R21,99 per kg.A customer buys three different packets with masses of 1,871kg;2,110kg and 1,945kg.What is the total cost of his purchase?
https://www.mathhomeworkanswers.org/274990/supermarket-chicken-customer-different-packets-purchase?show=275003#a275003
<p style="text-align: justify;">Add the masses together to get total mass: 1.871+2.110+1.945=5.926kg.</p>
<p style="text-align: justify;">Now multiply by the cost per kg: 5.926×21.99=R130.31.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274990/supermarket-chicken-customer-different-packets-purchase?show=275003#a275003Fri, 26 Jun 2020 09:13:46 +0000Answered: How many numbers between 65 and 95 are evenly divisible by 8? (with no remainder)
https://www.mathhomeworkanswers.org/274971/how-many-numbers-between-and-evenly-divisible-with-remainder?show=274988#a274988
<p style="text-align:justify">Multiples of 8 between 65 and 95 are 72, 80 and 88. But 72=8×9 and 88=8×11. 9 and 11 are odd numbers, so the only multiple of 8 which is even is 10, so there’s only one evenly divisible by 8, which is 80.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274971/how-many-numbers-between-and-evenly-divisible-with-remainder?show=274988#a274988Thu, 25 Jun 2020 18:24:15 +0000Answered: How many numbers are there between 123 and 321 including both of these numbers?
https://www.mathhomeworkanswers.org/274970/how-many-numbers-there-between-including-both-these-numbers?show=274986#a274986
<p>199<span style="color:#FFFFFF">.</span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/274970/how-many-numbers-there-between-including-both-these-numbers?show=274986#a274986Thu, 25 Jun 2020 17:45:23 +0000Answered: Alex finished in 6th place in a race and was 15th from the bottom of the race. How many people took part in the race?
https://www.mathhomeworkanswers.org/274944/alex-finished-place-from-bottom-race-many-people-took-part-race?show=274950#a274950
<p style="text-align:justify">If he was 15th from the bottom, there are 14 people behind him, so there are 6+14=20 in the race.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274944/alex-finished-place-from-bottom-race-many-people-took-part-race?show=274950#a274950Wed, 24 Jun 2020 11:39:32 +0000Answered: You are a player in a soccer match. All the team players have their eyes on the ball. If there are 24 eyes on the ball, including yours, how many other team players are there?
https://www.mathhomeworkanswers.org/274943/player-soccer-players-there-including-other-players-there?show=274949#a274949
<p style="text-align: justify;">Assuming normal sight, there are 12 team players, including me, so there are 11 others.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274943/player-soccer-players-there-including-other-players-there?show=274949#a274949Wed, 24 Jun 2020 11:35:23 +0000Answered: How many miles are covered by the slower plane when they intersect?
https://www.mathhomeworkanswers.org/274934/how-many-miles-are-covered-slower-plane-when-they-intersect?show=274936#a274936
Solution:<br />
<br />
<a href="https://ibb.co/k2Ysb5q" rel="nofollow">https://ibb.co/k2Ysb5q</a>Word Problem Answershttps://www.mathhomeworkanswers.org/274934/how-many-miles-are-covered-slower-plane-when-they-intersect?show=274936#a274936Wed, 24 Jun 2020 08:15:28 +0000Answered: If you count from 1 to 50, how many 4’s will you pass on your way?
https://www.mathhomeworkanswers.org/274916/if-you-count-from-1-to-50-how-many-4s-will-you-pass-on-your-way?show=274928#a274928
<p><span style="font-size:36px">15</span></p>
<hr>
<p><strong>4</strong>, 1<strong>4</strong>, 2<strong>4</strong>, 3<strong>4</strong>, <strong>4</strong>0, <strong>4</strong>1, <strong>4</strong>2, <strong>4</strong>3, <strong>44</strong>, <strong>4</strong>5,<strong> 4</strong>6, <strong>4</strong>7, <strong>4</strong>8, <strong>4</strong>9</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274916/if-you-count-from-1-to-50-how-many-4s-will-you-pass-on-your-way?show=274928#a274928Wed, 24 Jun 2020 01:09:57 +0000Answered: A family of nine eats 51 pancakes. The adults eat 4 pancakes each & kids eat 9 pancakes each. How many adults are there?
https://www.mathhomeworkanswers.org/274917/family-pancakes-adults-pancakes-pancakes-many-adults-there?show=274924#a274924
<p style="text-align: justify;">If A is the number of adults, then there are 9-A children.</p>
<p style="text-align: justify;">Each adult eats 4 pancakes, so they eat 4A pancakes between them.</p>
<p style="text-align: justify;">The children eat 9(9-A) pancakes between them.</p>
<p style="text-align: justify;">So the total number of pancakes eaten is 4A+9(9-A)=51.</p>
<p style="text-align: justify;">Therefore, 4A+81-9A=51, 5A=81-51=30, so A=30/5=6, there are 6 adults.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274917/family-pancakes-adults-pancakes-pancakes-many-adults-there?show=274924#a274924Tue, 23 Jun 2020 21:59:29 +0000Answered: At what time will the two planes be if they are 450 km apart?
https://www.mathhomeworkanswers.org/274918/at-what-time-will-the-two-planes-be-if-they-are-450-km-apart?show=274919#a274919
<p>Question 1 is unclear to me, so I assume you want to say that the planes leave from same airport and you want to find the time when they are 450 kms apart.</p>
<p>Solution 1)</p>
<p>Let t be the time required for these two plane be 450 kms apart.</p>
<p>So distance (x) travelled by plane A in t hours = 960t (since distance = speed * time)</p>
<p>and distance (y) travelled by plane B in t hours = 810t</p>
<p>Given, plane A is 450 kms ahead of plane B in t hours.</p>
<p>So, x = y + 450</p>
<p>=> 960t =810t +450</p>
<p>=> 960t - 810t = 450</p>
<p>=> 150t = 450</p>
<p>=> t =450/150 = <strong>3 hours</strong></p>
<p>So it will take 3 hours for plane A to get 450 kms ahead.</p>
<p>Solution 2)</p>
<p>Distance travelled by bus A be x in t time.</p>
<p>Distance travelled by bus B be y in t time.</p>
<p>x = 80t</p>
<p>y = 108t</p>
<p>Given, they are moving in opposite direction so sum of the distance should be equal to 329km at time t.</p>
<p>x + y =329</p>
<p>=> 80t + 108t = 329</p>
<p>=> 188t = 329</p>
<p>=> <strong>t =1.75 hours </strong></p>
<p><strong>or t = 1 hour 45 minutes</strong></p>
<p><strong>or t = 105 minutes</strong></p>
<p> </p>Word Problem Answershttps://www.mathhomeworkanswers.org/274918/at-what-time-will-the-two-planes-be-if-they-are-450-km-apart?show=274919#a274919Tue, 23 Jun 2020 21:21:23 +0000Answered: If 40% of 15 L of a weed killer is water, how much water can be added to make it contain 75% water?
https://www.mathhomeworkanswers.org/274912/weed-killer-water-much-water-can-added-make-contain-75%25-water?show=274914#a274914
There is 40% of 15L = 6L of water in the solution.<br />
<br />
So amount of weed killer in the solution = 60% of 15L = 9L<br />
<br />
Let the amout of new solution in litres be x.<br />
<br />
Since the amount of weed killer in the solution remains constant.<br />
<br />
So in the new solution after water being added, the amount of weed killer remains 9L or 25% of x.<br />
<br />
So, x * 25% = 9<br />
<br />
=> x = 9*100/25 = 36L<br />
<br />
Therefore the amount of water added to the solution = 36-15 = 21LWord Problem Answershttps://www.mathhomeworkanswers.org/274912/weed-killer-water-much-water-can-added-make-contain-75%25-water?show=274914#a274914Tue, 23 Jun 2020 10:32:30 +0000Answered: Six children collected £109.50 for charity. What was the mean average amount collect by each child?
https://www.mathhomeworkanswers.org/75151/children-collected-%C2%A3109-charity-average-amount-collect-child?show=274898#a274898
I have no clue!!<br />
<br />
I need help with this sort of stuff.Word Problem Answershttps://www.mathhomeworkanswers.org/75151/children-collected-%C2%A3109-charity-average-amount-collect-child?show=274898#a274898Mon, 22 Jun 2020 15:06:21 +0000Answered: What is the sum of the integers from -5001 to 5003, inclusive?
https://www.mathhomeworkanswers.org/274888/what-is-the-sum-of-the-integers-from-5001-to-5003-inclusive?show=274890#a274890
<p>Sum of n terms = (n/2)(a+l) -----------------(1)</p>
<p>Where n = number of terms</p>
<p>a = first term</p>
<p>d = difference between two consecutive terms.</p>
<p>l = last term</p>
<p>So here,</p>
<p>a = -5001</p>
<p>d = 1</p>
<p>l = 5003</p>
<p>Also, last_term, l = a + (n-1)d</p>
<p>So, n = (l - a)/d +1</p>
<p>=> n = ( 5003 - (-5001))/1 +1</p>
<p>=> n = 10004 + 1 = 10005</p>
<p>Therefore using identity (1) we get</p>
<p>sum = (-5001 + 5003)* (10005)/2</p>
<p>=> sum = 2 * (10005)/2</p>
<p>=> <strong>sum = 10005 </strong></p>Word Problem Answershttps://www.mathhomeworkanswers.org/274888/what-is-the-sum-of-the-integers-from-5001-to-5003-inclusive?show=274890#a274890Mon, 22 Jun 2020 10:59:25 +0000Answered: A swimmer has a currently won 11 out of 17 races. How many races do they need to win in order to have a winning ratio of 70%?
https://www.mathhomeworkanswers.org/274889/swimmer-currently-races-many-races-order-have-winning-ratio?show=274893#a274893
<p>Let x be the number of races he have to win for his winning ratio to be 70% or 0.7</p>
<p>so,</p>
<p>(11+x)/(17+x)= 0.7</p>
<p>=> 11 +x = 0.7(17+x)</p>
<p>=> 11 +x = 11.9 +0.7x</p>
<p>=> x - 0.7x = 11.9 -11</p>
<p>=> 0.3x = 0.9</p>
<p>=> x = 0.9/0.3</p>
<p>=> <strong>x =3</strong></p>
<p><strong>So he have to win 3 more races. </strong>Or (11+3) = <strong>14 races out of</strong> (17+3) = <strong>20 races</strong>.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274889/swimmer-currently-races-many-races-order-have-winning-ratio?show=274893#a274893Mon, 22 Jun 2020 10:59:11 +0000Answered: Ronin puts a fence around a field using 30 meters of wire. The length of the fence is four times its width. What is the width of the fence?
https://www.mathhomeworkanswers.org/274843/ronin-around-using-meters-length-fence-times-width-width-fence?show=274865#a274865
<p style="text-align: justify;">The fence has to go round two lengths and two widths, so one length and one width is half the length of the fence=30/2=15m. The length counts for 4 widths, so 5 widths=15m, and width = 15/5=3m, so the length is 4 times this=12m.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274843/ronin-around-using-meters-length-fence-times-width-width-fence?show=274865#a274865Sat, 20 Jun 2020 22:21:21 +0000Answered: Mosi walks half a distance at 2 km/h and runs back the other half. If the total distance is 16 km and it takes 6 hours for the entire trip, how fast does he run?
https://www.mathhomeworkanswers.org/274844/walks-distance-other-total-distance-takes-hours-entire-does?show=274863#a274863
<p style="text-align: justify;"><span style="font-family:.sfuitext; font-size:17pt">Half the distance is 16/2=8km, so it will take 4 hrs at a speed of 2km/hr.</span></p>
<p style="text-align: justify;"><span style="font-family:.sfuitext; font-size:17pt">That leaves 6-4=2 hrs to run back 8km. So he must run 8km in 2hrs which is 4km/hr, and that’s his speed.</span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/274844/walks-distance-other-total-distance-takes-hours-entire-does?show=274863#a274863Sat, 20 Jun 2020 19:32:00 +0000Answered: How many ball pens are available?
https://www.mathhomeworkanswers.org/274849/how-many-ball-pens-are-available?show=274851#a274851
Let the number of Employees be x<br />
<br />
then,<br />
<br />
3*x -1 = 2*x +8<br />
<br />
x = 9<br />
<br />
Therefore number of pens = 3*x -1 = 27 -1 =26 pens<br />
<br />
I don't know why your answer is 20. My answer is 26 pens.Word Problem Answershttps://www.mathhomeworkanswers.org/274849/how-many-ball-pens-are-available?show=274851#a274851Sat, 20 Jun 2020 10:16:15 +0000Answered: A special package exists where for every 4 balls you buy, you get a fifth ball for free. You buy a dozen balls and it costs you $60. How many balls do you get for $144?
https://www.mathhomeworkanswers.org/274770/special-package-exists-where-every-balls-fifth-dozen-costs?show=274790#a274790
<p style="text-align:justify"><span style="font-size:16px">A dozen balls (12) is 3 sets of 4 balls, so one set of 4 balls costs $60/3=$20. But there will be 3 extra balls (one for each set), that is, 12+3=15 balls for the cost of 12.</span></p>
<p style="text-align:justify"><span style="font-size:16px">$144 will buy 144/20=7 sets (28 balls) costing $140. 7 extra free balls will be added, making 28+7=35 balls altogether. 1 set costs $20 so each ball costs $5. But there is only $4 left, not enough to buy another ball. Therefore $144 will buy 28 balls plus 7 free balls, 35 balls in all, and there will be $4 in change. </span></p>
<p style="text-align:justify"><span style="font-size:16px">In the picture below each box contains 4 balls. Three boxes contain a dozen balls and cost $60. There are 7 boxes, containing 28 balls. 6 boxes cost $120 and the 7th box costs $20 (one third of $60) so the total cost (what is actually bought or paid for) is $140. The balls outside the boxes are free as a result of the offer, so $140 pays for 28 balls and 7 balls come free, making 35 in all. A box of 4 balls costs $20, so there isn’t enough change ($4) out of $144 to pay for another ball.</span></p>
<p style="text-align:justify"><span style="font-size:16px">If you use the wrong logic and assume that 5 balls costs $20, each ball would appear to cost $4, not $5, and there would be enough change to buy another ball, making 36 balls altogether, but this is false logic! This question was designed to make you think more logically. It’s a sort of trick question.</span></p>
<p style="text-align:justify"><span style="font-size:16px"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=1820333645275661839" style="height:129px; width:600px"></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/274770/special-package-exists-where-every-balls-fifth-dozen-costs?show=274790#a274790Thu, 18 Jun 2020 12:46:37 +0000Answered: A tree was planted in 1793. How old will that tree be in 2028?
https://www.mathhomeworkanswers.org/274771/a-tree-was-planted-in-1793-how-old-will-that-tree-be-in-2028?show=274788#a274788
<p style="text-align: justify;">Age is 2028-1793=235 years.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274771/a-tree-was-planted-in-1793-how-old-will-that-tree-be-in-2028?show=274788#a274788Thu, 18 Jun 2020 12:11:31 +0000Answered: There are only 2 fields on a dartboard with 7 and 9 points. How many times do you need to hit the dart board to score 34 points?
https://www.mathhomeworkanswers.org/274731/there-fields-dartboard-with-points-times-board-score-points?show=274738#a274738
<p>Let x and y be the number of hits to 7 point field and 9 point field respectively</p>
<p>But x ∈ Z and y ∈ Z, where Z is Integer,</p>
<p>And 7x <= 34 => x ∈ {0,1,2,3,4}</p>
<p>and 9y<=34 => y ∈ {0,1,2,3,4}</p>
<p>but only point (1,3) satisfy the line 7x + 9y such that x and y are integers.</p>
<p>So the solution is 1 --> 7 Points</p>
<p>and 3 --> 9 Points</p>
<p>Therefore total number of times = 1 + 3 = 4</p>
<p><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=1088814342644820981" style="height:511px; width:600px"><br>
<br>
</p>
<p> </p>Word Problem Answershttps://www.mathhomeworkanswers.org/274731/there-fields-dartboard-with-points-times-board-score-points?show=274738#a274738Tue, 16 Jun 2020 22:54:01 +0000Answered: Zinzi has 10 Lego bricks and Chika had 2 bricks. Zinzi gave some of her bricks to Chika so that Chika ended with three times as many bricks as Zinzi. How many bricks did Zinzi give to Chika?
https://www.mathhomeworkanswers.org/274732/zinzi-bricks-bricks-bricks-times-bricks-zinzi-bricks-zinzi?show=274737#a274737
Let x be the number of bricks that Zinzi gave to Chika.<br />
<br />
Then,<br />
<br />
Zinza is remained with (10 -x) bricks and Chika now has 2 +x bricks<br />
<br />
Since, Total number of bricks did not change in the transaction.<br />
<br />
Given,<br />
<br />
2+x = 3(10-x)<br />
<br />
=> 2 + x = 30 - 3x<br />
<br />
=> x + 3x = 30 - 2<br />
<br />
=> 4x = 28<br />
<br />
=> x = 7<br />
<br />
So Zinza gave 7 bricks to Chika.Word Problem Answershttps://www.mathhomeworkanswers.org/274732/zinzi-bricks-bricks-bricks-times-bricks-zinzi-bricks-zinzi?show=274737#a274737Tue, 16 Jun 2020 14:36:39 +0000Answered: How many liters of pure water must he add so that the new solution will have a 50% concentration of antifreeze?
https://www.mathhomeworkanswers.org/274723/many-liters-water-solution-have-concentration-antifreeze?show=274725#a274725
Since, 20% of 5 litre = 1 litre or 1000 ml of chemical was emptied. so 4 litres or 4000 ml is left.<br />
<br />
And 60% of 4000 ml of antifreeze = 2400 ml<br />
<br />
So percent of water in the chemical = 4000 - 2400 = 1600 ml<br />
<br />
Now, Amount of antifreeze in final mixture is 50%<br />
<br />
So, Amount of water in final mixture is also 50%<br />
<br />
Now, let the X amount of pure water must be added.<br />
<br />
So, on taking ratio of antifreeze to water we get<br />
<br />
2400/(1600+X) = 50/50<br />
<br />
=> 2400/(1600+X) = 1<br />
<br />
=> 2400 = 1600 +X<br />
<br />
=> X = 800 ml or 4/5 litres.<br />
<br />
<br />
<br />
Another method,<br />
<br />
Since,<br />
<br />
Now 2400 is 60% of 4000 ml solution.<br />
<br />
And antifreeze is 50% of Y ml solution, where Y is new total of antifreeze and water, after water being added to the solution<br />
<br />
So,<br />
<br />
Y * 50% = 2400<br />
<br />
=> Y = 2400 * 100 / 50 = 4800<br />
<br />
Therefore, the amount of water added to the solution = final solution - initial solution = 4800 - 4000 = 800ml or 4/5 litres<br />
<br />
<br />
<br />
Hope this is what you wantWord Problem Answershttps://www.mathhomeworkanswers.org/274723/many-liters-water-solution-have-concentration-antifreeze?show=274725#a274725Tue, 16 Jun 2020 10:29:59 +0000Answered: Three sisters are all three years apart in age. If you sum their ages together you get 18. How old is the youngest sister?
https://www.mathhomeworkanswers.org/274696/three-sisters-three-years-apart-their-together-youngest-sister?show=274712#a274712
<p><span style="font-size:36px">3</span></p>
<hr>
<p>A = the eldest, B = the midle, C = the young</p>
<p>A + B + C = 18</p>
<p>C - B = 3</p>
<p>B - A = 3</p>
<hr>
<p>B = 18 ÷ 3 = 6</p>
<p>A = 6 - 3</p>
<p>A = 3</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274696/three-sisters-three-years-apart-their-together-youngest-sister?show=274712#a274712Mon, 15 Jun 2020 20:21:01 +0000Answered: How many numbers between 24 and 83 are evenly divisible by 6? (with no remainder)
https://www.mathhomeworkanswers.org/274697/how-many-numbers-between-and-evenly-divisible-with-remainder?show=274710#a274710
<p><span style="font-size:36px">10</span></p>
<hr>
<p>24, 30, 36, 42, 48, 54, 60, 66, 72, 78</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274697/how-many-numbers-between-and-evenly-divisible-with-remainder?show=274710#a274710Mon, 15 Jun 2020 20:06:21 +0000Two trains are passing each other on the train track. One has 18 carriages and the other has 90 carriages. How many times fewer carriages has the one train compared to the other?
https://www.mathhomeworkanswers.org/274674/trains-passing-carriages-carriages-carriages-compared-other
<p><a rel="nofollow" href="https://www.mathformoney.app/math-worksheets">https://www.mathformoney.app/math-worksheets</a></p>Word Problem Answershttps://www.mathhomeworkanswers.org/274674/trains-passing-carriages-carriages-carriages-compared-otherSun, 14 Jun 2020 18:30:49 +0000Jonty takes 420 steps each day to get to school. He stops at a store which is 1/6th of the way to school. How many more steps from the shop does he still need to take to get to school?
https://www.mathhomeworkanswers.org/274679/jonty-takes-school-stops-store-which-school-steps-still-school
<p><a rel="nofollow" href="https://www.mathformoney.app/math-worksheets-for-5th-grade.html">https://www.mathformoney.app/math-worksheets-for-5th-grade.html</a></p>Word Problem Answershttps://www.mathhomeworkanswers.org/274679/jonty-takes-school-stops-store-which-school-steps-still-schoolSun, 14 Jun 2020 18:27:37 +0000sipho needs to score at least 60% in an entrance examination. If the examination is out of a total of 150 marks, what minimum mark must Sipho get?
https://www.mathhomeworkanswers.org/274586/sipho-entrance-examination-examination-total-minimum-sipho
Sipho needs to score at least 60% in an entrance examination. If the examination is out of a total of 150 marks, what minimum mark must Sipho get?Word Problem Answershttps://www.mathhomeworkanswers.org/274586/sipho-entrance-examination-examination-total-minimum-siphoSat, 13 Jun 2020 14:03:15 +0000A ball was kicked from the ground into the air with an initial upward velocity of 32 feet per second.Write an equation to model the height of the ball and find the maximum height that it reached.
https://www.mathhomeworkanswers.org/274455/initial-upward-velocity-equation-height-maximum-height-reached
please answer quickWord Problem Answershttps://www.mathhomeworkanswers.org/274455/initial-upward-velocity-equation-height-maximum-height-reachedMon, 08 Jun 2020 17:19:08 +0000This stuff kills me
https://www.mathhomeworkanswers.org/274179/this-stuff-kills-me
<p>1.) A math teacher tried to teach his dog to play fetch. The dog started next to his master, then ran <strong>fifteen feet south</strong>, picked up the squeaky tennis ball, walked <strong>ten feet east</strong>, and sat down to chew on the ball. At that point, how far apart were the dog and his master?<br>
<br>
2.) In a happier time, when families could safely go to amusement parks, one particular world-famous park sold t-shirts, hats, and commemorative pins. One family bought <strong>two shirts</strong>, <strong>two hats</strong>, and <strong>four pins</strong>. They paid <strong>$140</strong>. Another family bought <strong>four shirts</strong>, <strong>one hat</strong>, and <strong>three pins</strong>. They paid <strong>$195</strong>. One collector didn’t buy a shirt, but they bought <strong>one hat</strong> and <strong>ten pins</strong> to put on it. They paid <strong>$70</strong>. How much did a shirt cost? A hat? A pin?</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274179/this-stuff-kills-meFri, 29 May 2020 17:49:37 +0000How many tomatoes will be in each of the fifth and seventh piles?
https://www.mathhomeworkanswers.org/274075/how-many-tomatoes-will-be-in-each-the-fifth-and-seventh-piles
<p><span style="color:rgb(0, 0, 0); font-family:bookman old style,serif; font-size:11pt">Barrack puts tomatoes in piles containing different numbers of tomatoes. The first three piles contain 1, 15 and 70 tomatoes. The numbers in the sequence are the sum of the first triangular number, the first, second and third triangular numbers and first, second, third, fourth and fifth triangular number and so on. How many tomatoes will be in each of the fift<u>h</u> and seven<u>th</u> piles?</span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/274075/how-many-tomatoes-will-be-in-each-the-fifth-and-seventh-pilesWed, 27 May 2020 12:40:51 +0000how many lettuces out of every 20 does he grow unsuccessfully?
https://www.mathhomeworkanswers.org/274074/how-many-lettuces-out-of-every-20-does-he-grow-unsuccessfully
<p style="margin-left:14.2pt">When growing lettuces in a greenhouse, a gardener unsuccessfully grows a number of them. He plants 15000 in one patch. If the gardener makes R1.72 profit on each lettuce, and makes an overall profit of R15 380, how many lettuces out of every 20 does he grow unsuccessfully?</p>Word Problem Answershttps://www.mathhomeworkanswers.org/274074/how-many-lettuces-out-of-every-20-does-he-grow-unsuccessfullyWed, 27 May 2020 12:36:59 +0000Pre- calc question
https://www.mathhomeworkanswers.org/273921/pre-calc-question
<p><span style="color:rgb(54, 50, 50); font-family:open sans,tahoma,geneva,sans-serif; font-size:14px">If 40 people contribute to a performance space, then each pays $100. For every $1 less that people pay, 4 additional people contribute. Use an equation to determine the maximum amount of money that can be raised.</span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/273921/pre-calc-questionThu, 21 May 2020 07:58:16 +0000Related to caculus
https://www.mathhomeworkanswers.org/273673/related-to-caculus
7. A national charity is planning a fund-raising campaign in a major United States city having a population of 2 million. The percentage of the population who will make a donation is estimated by the function R = 1 – e(-0.025x) Where R equals the percentage of the population and x equals the number of days the campaign is conducted. Past experience indicates that the average contribution in this city is $3.25 per donor. Costs of the campaign are estimated at $11250 per day. a. How many days should the campaign be conducted if the objective is to maximize net proceeds (total contributions minus total costs) from the campaign? b. What are maximum net proceeds expected to equal? What percentage of the population is expected to donate?Word Problem Answershttps://www.mathhomeworkanswers.org/273673/related-to-caculusThu, 14 May 2020 12:23:10 +0000A mystery number is doubled and seven is then added, the result is the same as adding nine to the mystery number. What is the mystery number?
https://www.mathhomeworkanswers.org/273505/mystery-doubled-result-adding-mystery-number-mystery-number
It's pretty much easyWord Problem Answershttps://www.mathhomeworkanswers.org/273505/mystery-doubled-result-adding-mystery-number-mystery-numberFri, 08 May 2020 12:37:02 +0000If the length of an hour is assumed constant, how many hours long will a day be just before the sun novas (exploding just before its death), destroying Earth, 4 billion years in the future?
https://www.mathhomeworkanswers.org/273483/assumed-constant-before-exploding-destroying-billion-future
Hint: How many hours are there in a day right now?Word Problem Answershttps://www.mathhomeworkanswers.org/273483/assumed-constant-before-exploding-destroying-billion-futureThu, 07 May 2020 20:29:11 +0000Sangivs mother uses 11 liters of fuel driving him to and from school everyday. Her car had a 46 liter tank . What percentage of her tank's capacity does she use everyday
https://www.mathhomeworkanswers.org/273334/sangivs-driving-school-everyday-percentage-capacity-everyday
Sangivs mother uses 11 liters of fuel driving him to and from school everyday. Her car had a 46 liter tank . What percentage of her tank's capacity does she use everydayWord Problem Answershttps://www.mathhomeworkanswers.org/273334/sangivs-driving-school-everyday-percentage-capacity-everydayMon, 04 May 2020 18:32:38 +0000After Mrs. Smith withdrew 12% of her money from her bank account, there was $4,950 remaining. How much money was there in Mrs. Smith's bank account originally?
https://www.mathhomeworkanswers.org/273247/withdrew-account-remaining-there-smiths-account-originally
Solve the word problem by showing all of the steps.Word Problem Answershttps://www.mathhomeworkanswers.org/273247/withdrew-account-remaining-there-smiths-account-originallyThu, 30 Apr 2020 18:41:04 +0000