Math Homework Answers - Recent questions and answers
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Powered by Question2AnswerAnswered: If the total money collected was $980,how many of each type of ticket were sold?
https://www.mathhomeworkanswers.org/251606/total-money-collected-%24980-how-many-each-type-ticket-were-sold?show=251621#a251621
<p style="text-align: justify;">Let S=number of students and A=number of adults.</p>
<p style="text-align: justify;">Total cost of tickets=980=S+2A and S=A+80. </p>
<p style="text-align: justify;">Substitute for S: 980=A+80+2A, so 3A=900 and A=300, so S=380.</p>
<p style="text-align: justify;">So there weee 380 students and 300 adults.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251606/total-money-collected-%24980-how-many-each-type-ticket-were-sold?show=251621#a251621Mon, 23 Apr 2018 17:14:27 +0000Answered: -4(w+4)+3w
https://www.mathhomeworkanswers.org/251619/4-w-4-3w?show=251620#a251620
<p style="text-align: justify;">Expand the brackets: -4w-16+3w=-w-16.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251619/4-w-4-3w?show=251620#a251620Mon, 23 Apr 2018 17:09:15 +0000Answered: four pieces of pipe measure 2'1 1/4",4'2 3/4",5'1-9/16, and 6'3-5/8 they were all cut from a 20' lengthof pipe. allowing 1/6" waste for each cut, how much pipe do we have left for the rest of the job?
https://www.mathhomeworkanswers.org/251600/four-pieces-measure-were-from-lengthof-allowing-waste-pipe?show=251617#a251617
<p style="text-align:justify">4 pieces of pipe need 4 cuts to separate them from a length of pipe so that means 4/6=2/3" is wasted.</p>
<p style="text-align:justify">20' less ⅔"=19'11⅓". Total length of pipes required=2'1¼"+4'2¾"+5'1⁹⁄₁₆"+6'3⅝"=17'+7"+(4+12+9+10)/16".</p>
<p style="text-align:justify">The fraction comes to 35/16=2³⁄₁₆". So total length cut is 17'9³⁄₁₆".</p>
<p style="text-align:justify">What’s left is 19' 11⅓"-17'9³⁄₁₆"=2'2+(16-9)/48"=2'2+7/48=2'2⁷⁄₄₈".</p>Other Math Topicshttps://www.mathhomeworkanswers.org/251600/four-pieces-measure-were-from-lengthof-allowing-waste-pipe?show=251617#a251617Mon, 23 Apr 2018 16:48:11 +0000Answered: Rent is $2075. Person A pays $100 more than person B for having bigger room. What Is the rent for person A and B?
https://www.mathhomeworkanswers.org/251613/rent-%242075-person-person-having-bigger-room-what-rent-person?show=251616#a251616
<p style="text-align: justify;">Total rent is 2075=100+B+B because A’s rent is $100 more than B.</p>
<p style="text-align: justify;">So 2075=2B+100, 2B=1975 and B=1975/2=$987.50. And A=$1087.50.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/251613/rent-%242075-person-person-having-bigger-room-what-rent-person?show=251616#a251616Mon, 23 Apr 2018 16:30:39 +0000Answered: How long will it take joe to catch up to bob when joe is travellling at 70mph and bob is 80 miles ahead travelling at 50mph?
https://www.mathhomeworkanswers.org/251609/long-catch-travellling-70mph-miles-ahead-travelling-50mph?show=251615#a251615
<p style="text-align: justify;">Work out their relative speed=70-50=20mph.</p>
<p style="text-align: justify;">Time to catch up is 80/20=4 hours.</p>
<p style="text-align: justify;">In this time Bob has travelled 4*50=200 miles and Joe 4*70=280 miles. So Joe has covered the 80 miles between them and a further 200 miles, which means he caught up with Bob.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/251609/long-catch-travellling-70mph-miles-ahead-travelling-50mph?show=251615#a251615Mon, 23 Apr 2018 16:25:51 +0000Answered: how much would you get back if you had 3.5 mill divided by 700000
https://www.mathhomeworkanswers.org/251611/how-much-would-you-get-back-if-you-had-3-mill-divided-by-700000?show=251614#a251614
<p style="text-align: justify;">3.5 million is 3500000, so the share would be 3500000/700000=5 each.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/251611/how-much-would-you-get-back-if-you-had-3-mill-divided-by-700000?show=251614#a251614Mon, 23 Apr 2018 16:21:10 +0000Answered: 30 dots equally spaced within a 20” diameter circle, what is the distance between each dot
https://www.mathhomeworkanswers.org/251599/equally-spaced-within-diameter-circle-distance-between-each?show=251612#a251612
<p style="text-align:justify"> </p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=16080323107666988671" style="height:396px; width:400px"> <img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=2507679596220652262" style="height:205px; width:400px"></p>
<p style="text-align:justify">The pictures show a uniform configuration of dots in the circle of radius 10 inches.</p>
<p style="text-align:justify">The lower picture is a magnification of part of the upper figure.</p>
<p style="text-align:justify">Angle POA is arctan(AP/PO)=½a/3a=⅙. So sinPOA=1/√37 (using Pythagoras).</p>
<p style="text-align:justify">AP=AOsinPOA=10/√37 because AO=10, radius of the circle. So a/2=10/√37, and a=3.288" approx.</p>
<p style="text-align:justify">The lattice has a spacing of 3.288".</p>
<p style="text-align:justify">There are other configurations of 30 dots, for example, where 3 dots form the vertices of an equilateral triangle. The picture below shows a combination of squares and equilateral triangles.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=14972981309326123873" style="height:401px; width:400px"></p>
<p style="text-align:justify">The red dot and line show the centre and radius of the circle.</p>Geometry Answershttps://www.mathhomeworkanswers.org/251599/equally-spaced-within-diameter-circle-distance-between-each?show=251612#a251612Mon, 23 Apr 2018 13:54:53 +0000Statistics
https://www.mathhomeworkanswers.org/251608/statistics
When an opinion poll calls residential telephone numbers at random. Only 20% of the calls reach a live person. You watch a random digit dialing machine make 15 calls. What is the probability that exactly 3 calls reach a person?Statistics Answershttps://www.mathhomeworkanswers.org/251608/statisticsMon, 23 Apr 2018 00:57:18 +0000Word problem
https://www.mathhomeworkanswers.org/251607/word-problem
Bearsandme, Peas & Corn, At play by jc/eaglei, and Cascadeclimber sat down in the room to paint bird houses for the Audubon Bird House Event Cache. Their instructions were that each time they finished painting a bird house they would carry it to walkingron to be placed on a shelf with the other bird houses also being painted by others in the room, and then return to paint another house until all their houses were done. They all worked hard at painting their houses and the approaches varied from relatively simple to extremely elaborate. They concentrated on their own work for the most part, but from time to time while chatting each looked up to see the others painting, but no one paid much attention, so none of them knew how many houses any of the others had finished. After a while cascadeclimber, after giving walkingron a completed bird house, started to reach for another unpainted house, but as he did he saw, as they all saw, there was only one house remaining . The rest had all been painted. Who should paint the last bird house? At that moment walkingron came back into the room and saw their confusion. "It's very simple," he said. "Whoever has painted the fewest houses should paint the last one. If there's a tie, you share it. I gave the four of you a dozen houses to start with and I know I've seen you all come up at least once with a painted house in your hand. Do you all know how many houses you painted?" They all answered “yes.” So walkingron continued, "Bearsandme, did you paint more houses than Peas & Corn?" She replied, "I don't know." "Cascadeclimber, did you paint more houses than Bearsandme?" He replied, "I don't know." Then from out of nowhere a voice from the back of the room blurted out, “Aha” said At play by jc/eaglei, “We know who should paint the last house. In fact, we know exactly how many houses each of the four of us had painted.” ….. Do you? You must assume that each of them answered truthfully and that each of them, being a superb logician, made all possible conclusions that could be made with certainty from the available information at the time they gave their answers. Let "B”, "P”, “A”, and "C” represent the number of bird houses painted by Bearsandme, Peas & Corn, At play by jc/eaglei, and Cascadeclimber respectivelyWord Problem Answershttps://www.mathhomeworkanswers.org/251607/word-problemSun, 22 Apr 2018 23:50:09 +0000Answered: What is half of 5-3/4"
https://www.mathhomeworkanswers.org/7454/what-is-half-of-5-3-4?show=251605#a251605
7/10Fraction Problemshttps://www.mathhomeworkanswers.org/7454/what-is-half-of-5-3-4?show=251605#a251605Sun, 22 Apr 2018 19:34:22 +0000Answered: the jurassic zoo charges $5 for each adult admission and $3 for each child. the total bill for the 166 people from a school trip was $606. how many adults and how many children went to the zoo?
https://www.mathhomeworkanswers.org/251598/jurassic-charges-admission-people-school-adults-children?show=251602#a251602
<p style="text-align: justify;">Let the number of adults be a and the number of children be c, so a+c=166.</p>
<p style="text-align: justify;">Total cost is 606=5a+3c=5a+3(166-a)=5a+498-3a=2a+498.</p>
<p style="text-align: justify;">So, 2a=606-498=108 and a=54 so c=166-54=112.</p>
<p style="text-align: justify;">Therefore 54 adults and 112 children went to the zoo.</p>
<p style="text-align: justify;"> </p>Word Problem Answershttps://www.mathhomeworkanswers.org/251598/jurassic-charges-admission-people-school-adults-children?show=251602#a251602Sun, 22 Apr 2018 14:05:18 +0000Answered: factorise 2x3-xy2-y3
https://www.mathhomeworkanswers.org/106375/factorise-2x3-xy2-y3?show=251601#a251601
2x2-2xy+y3Algebra 1 Answershttps://www.mathhomeworkanswers.org/106375/factorise-2x3-xy2-y3?show=251601#a251601Sun, 22 Apr 2018 08:33:57 +0000Answered: 1/3 the weight of a bar of gold plus 30lbs equals the weight of that gold bar. How much doe the gold bar weigh?
https://www.mathhomeworkanswers.org/251596/weight-gold-plus-30lbs-equals-weight-that-gold-much-gold-weigh?show=251597#a251597
<p style="text-align: justify;">Let b be the weight of the gold bar in pounds, then we can write b/3+30=b.</p>
<p style="text-align: justify;">Subtract b/3 from each side: 30=2b/3. If 2/3 of the weight is 30lb then 1/3 is half of 30=15lb. So the bar weighs three times this=45lb. </p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251596/weight-gold-plus-30lbs-equals-weight-that-gold-much-gold-weigh?show=251597#a251597Sat, 21 Apr 2018 23:44:23 +0000Answered: Drako found an emerald in a cave at a depth between mc016-1.jpg and mc016-2.jpg meters. Which number could represent the depth at which the emerald is located?
https://www.mathhomeworkanswers.org/251536/emerald-between-meters-which-number-represent-emerald-located?show=251595#a251595
<p style="text-align:justify">mc016-1.jpg<depth<mc016-2.jpg metres represents the number for the depth, assuming mc016-1.jpg < mc016-2.jpg. Replace the JPG files with the numbers they contain.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/251536/emerald-between-meters-which-number-represent-emerald-located?show=251595#a251595Sat, 21 Apr 2018 11:21:24 +0000Answered: Please answer my question
https://www.mathhomeworkanswers.org/251551/please-answer-my-question?show=251593#a251593
<p style="text-align:justify">Was this your question? ax+b=0. [Assume solve for x]</p>
<p style="text-align:justify">AX+B=0, so:</p>
<p style="text-align:justify">AX=-B, X=-B/A.</p>
<p style="text-align:justify">ax+b=0, ax=-b, x=-b/a where a≠0.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/251551/please-answer-my-question?show=251593#a251593Sat, 21 Apr 2018 11:09:30 +0000Answered: g(x) when f(x)= /x/ +3 translated horizontally 6 units to the left and reflected across the y axis
https://www.mathhomeworkanswers.org/7102/when-translated-horizontally-units-reflected-across-axis?show=251592#a251592
<p style="text-align:justify">The horizontal translation produces |x+6|+3 moving the vertex from (0,3) to (-6,3). The y intercept is 9. (It was 3 for f(x).)</p>
<p style="text-align:justify">The reflection in the y axis translates the vertex to (6,3), which is a shift of 12 to the right. The y intercept remains at 9.</p>
<p style="text-align:justify">The equation is g(x)=|x-6|+3.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/7102/when-translated-horizontally-units-reflected-across-axis?show=251592#a251592Fri, 20 Apr 2018 20:59:12 +0000Answered: x^2-y^2+2zx+2yz+2y-2y-1
https://www.mathhomeworkanswers.org/251583/x-2-y-2-2zx-2yz-2y-2y-1?show=251591#a251591
<p style="text-align: justify;">Using the answer as a guide, we can see the expression should be:</p>
<p style="text-align: justify;">x²-y²+2zx+2yz+2y-2z-1</p>
<p style="text-align: justify;">From now on, we will not use the expected answer as a guide to the solution.</p>
<p style="text-align: justify;">This expression can be rearranged:</p>
<p style="text-align: justify;">x²-y²+2y-1+2z(x+y-1)=x²-(y-1)²+2z(x+y-1)</p>
<p style="text-align: justify;">The first part of this is the difference of two squares which factorises:</p>
<p style="text-align: justify;">(x-(y-1))(x+(y-1))+2z(x+y-1)=(x-y+1)(x+y-1)+2z(x+y-1).</p>
<p style="text-align: justify;">There’s a common factor of x+y-1 which can be taken out:</p>
<p style="text-align: justify;">(x+y-1)(x-y+1+2z) which is effectively the same as the given answer.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251583/x-2-y-2-2zx-2yz-2y-2y-1?show=251591#a251591Fri, 20 Apr 2018 16:21:29 +0000Answered: why are x is greater than or equal to 0 and y is greater than or equal to 0 part of the constraints in many linear programs?
https://www.mathhomeworkanswers.org/247827/greater-equal-greater-than-equal-constraints-linear-programs?show=251590#a251590
<p style="text-align: justify;">The usual reason is that negative values would have no meaning in the context for which the linear model was designed. This is particularly true in the field of economics, marketing, trends, etc. The equations used usually have the capability of processing negative amounts and producing negative results, but such values would have no meaning when applied practically.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/247827/greater-equal-greater-than-equal-constraints-linear-programs?show=251590#a251590Fri, 20 Apr 2018 12:29:52 +0000Answered: The price for a 52-oz bottle of hand soap is $3.97. A 9.5-oz bottle costs $1.47. What is the cost per ounce for each? Which bottle is the better buy?
https://www.mathhomeworkanswers.org/251582/price-bottle-bottle-costs-cost-ounce-each-which-bottle-better?show=251588#a251588
<p style="text-align: justify;">The cost per ounce is 3.97/52=7.63c and 1.47/9.5=15.5c per oz, so the first is the better buy.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251582/price-bottle-bottle-costs-cost-ounce-each-which-bottle-better?show=251588#a251588Fri, 20 Apr 2018 08:42:45 +0000Answered: Katie hit four more home runs than three times the number of home runs hit by Kristen. Together they hit 20 home runs. How many home runs did Kristen hit?
https://www.mathhomeworkanswers.org/251581/katie-three-times-number-kristen-together-home-runs-kristen?show=251585#a251585
<p><em>Katie hit four more home runs than three times the number of home runs hit by Kristen. Together they hit 20 home runs. How many home runs did Kristen hit?</em></p>
<p>Let Ka = no of home runs hit by Katie</p>
<p>Let Kr = no of home runs hit by Kristen</p>
<p>Then,</p>
<p>Ka = 4 + 3*Kr (Katie hit four more home runs than three times the number of home runs hit by Kristen)</p>
<p>Ka + Kr = 20 (Together they hit 20 home runs)</p>
<p>Substituting for Ka = 4 + 3*Kr into the 2nd eqn above,</p>
<p>4 + 3*Kr + Kr = 20</p>
<p>4 + 4*Kr = 20</p>
<p>4*Kr = 16</p>
<p><span style="text-decoration: underline;">Kr = 4</span>. Therefore <span style="text-decoration: underline;">Ka = 16</span></p>
<p><span style="text-decoration: underline;"><strong>Answer: Katie hit 16 home runs. Kristen hit 4 home runs</strong></span></p>Word Problem Answershttps://www.mathhomeworkanswers.org/251581/katie-three-times-number-kristen-together-home-runs-kristen?show=251585#a251585Fri, 20 Apr 2018 05:00:45 +0000Answered: Mr. Miles spent $22.50 on rides at the carnival for his grandchildren. Each ride cost $1.25. Right and solve an equation to find how many rides he paid for in all.
https://www.mathhomeworkanswers.org/251575/miles-spent-carnival-grandchildren-right-solve-equation-rides?show=251580#a251580
<p style="text-align: justify;">If r=number of rides, the cost of this many rides is 1.25r dollars.</p>
<p style="text-align: justify;">We know he spent $22.50 on rides so 1.25r=22.50. This is the equation. To solve it divide through by 1.25, so r=22.50/1.25=2250/125=90/5=18. So he paid for 18 rides.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/251575/miles-spent-carnival-grandchildren-right-solve-equation-rides?show=251580#a251580Thu, 19 Apr 2018 23:07:11 +0000Answered: A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells?
https://www.mathhomeworkanswers.org/251574/particular-doubles-number-function-number-present-initially?show=251579#a251579
<p style="text-align:justify">After 1 hour there will be 8 cells, after two hours 16, after three 32=2⁵.</p>
<p style="text-align:justify">So after h hours there will be 2^(h+2) cells. When h=0 there are 4 cells according to this formula, which correctly corresponds to the initial condition. We can write this as f(h)=2^(h+2).</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251574/particular-doubles-number-function-number-present-initially?show=251579#a251579Thu, 19 Apr 2018 23:01:29 +0000Answered: Matt uses 1/5 of a box of flour for cooking and 3/4 of the remainder to make bread. The rest of into 5 containers . What fraction of the total amount of flour was in each container?
https://www.mathhomeworkanswers.org/251576/cooking-remainder-bread-containers-fraction-amount-container?show=251578#a251578
<p style="text-align: justify;">After he has used ⅕ of the flour, ⅘ remains and ¾ of this is ⅗.</p>
<p style="text-align: justify;">He divides this into 5 containers, so each container holds 3/25 of the original amount of flour.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/251576/cooking-remainder-bread-containers-fraction-amount-container?show=251578#a251578Thu, 19 Apr 2018 22:57:22 +0000Answered: What is the large number name or decimal notation equivalent for 1.888e+14 ?
https://www.mathhomeworkanswers.org/251572/what-large-number-name-decimal-notation-equivalent-for-888e?show=251577#a251577
1.888e14=188,800,000,000,000 or 188.8 trillionOther Math Topicshttps://www.mathhomeworkanswers.org/251572/what-large-number-name-decimal-notation-equivalent-for-888e?show=251577#a251577Thu, 19 Apr 2018 22:53:40 +0000Answered: What is half of 4/7??
https://www.mathhomeworkanswers.org/24063/what-is-half-of-4-7?show=251573#a251573
3 1/2 moron!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Algebra 1 Answershttps://www.mathhomeworkanswers.org/24063/what-is-half-of-4-7?show=251573#a251573Thu, 19 Apr 2018 17:48:38 +0000Answered: please help mmmmmeeee please I am on a test pleas :_:
https://www.mathhomeworkanswers.org/251559/please-help-mmmmmeeee-please-i-am-on-a-test-pleas-_?show=251571#a251571
<ol>
<li style="text-align:justify">The two expressions are not equivalent and the evaluation is 12.</li>
<li style="text-align:justify">9.</li>
<li style="text-align:justify">Not equivalent, result is 8.</li>
<li style="text-align:justify">Equivalent, result is 14.</li>
<li style="text-align:justify">First error in step 2.</li>
</ol>
<p style="text-align:justify">It’s important you understand algebra, so rather than just post questions like this, it would be better and more fun for you if you understood algebra better. If you’re having difficulty I may be able to help and make the subject more fun. My guess is that you are in cyberschool.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/251559/please-help-mmmmmeeee-please-i-am-on-a-test-pleas-_?show=251571#a251571Thu, 19 Apr 2018 12:23:00 +0000Answered: A triangle is reflected across line l and them m. If the lines intersect,what type of isometry is this composition of reflections
https://www.mathhomeworkanswers.org/251528/triangle-reflected-intersect-isometry-composition-reflections?show=251570#a251570
<p style="text-align:justify">Since the two reflections have the same aspect, the isometry is rotation and translation.</p>
<p style="text-align:justify">(The degree of rotation is twice the angle between l and m.)</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/251528/triangle-reflected-intersect-isometry-composition-reflections?show=251570#a251570Thu, 19 Apr 2018 11:40:42 +0000Answered: Find a polynomial f(x) Of degree 4 and -4 -2 and i are zeros of 3 multiplicity 2
https://www.mathhomeworkanswers.org/251556/find-polynomial-of-degree-and-and-are-zeros-of-multiplicity?show=251567#a251567
<p style="text-align:justify">Duplicated zero must be -4, because the other two zeroes are complex: -2+i and -2-i.</p>
<p style="text-align:justify">Polynomial appears to be (x+4)²(x+2-i)(x+2+i)=</p>
<p style="text-align:justify">(x²+8x+16)(x²+4x+5)=</p>
<p style="text-align:justify">x⁴+4x³+ 5x²</p>
<p style="text-align:justify"> +8x³+32x²+40x</p>
<p style="text-align:justify"> 16x²+64x+80=</p>
<p style="text-align:justify">x⁴+12x³+53x²+104x+80. There are 3 zeroes.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251556/find-polynomial-of-degree-and-and-are-zeros-of-multiplicity?show=251567#a251567Thu, 19 Apr 2018 10:34:25 +0000Answered: Joseph has 16 pretzels for snack. He gives some of them to isabella. Now he has 9 left. How many pretzels did he give to isabella?
https://www.mathhomeworkanswers.org/251552/joseph-pretzels-snack-gives-isabella-left-pretzels-isabella?show=251566#a251566
<p style="text-align: justify;">If an estimate is required, 9 is approximately 10, so if we remove the tens digit we get 6 as the number left.</p>
<p style="text-align: justify;">But since 9 is one less than 10 he will have one more than 6 left, which is 7.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/251552/joseph-pretzels-snack-gives-isabella-left-pretzels-isabella?show=251566#a251566Thu, 19 Apr 2018 10:22:17 +0000Answered: x^2(b-c)+b^2(c+x)-c^2(x+b)
https://www.mathhomeworkanswers.org/251561/x-2-b-c-b-2-c-x-c-2-x-b?show=251565#a251565
<p style="text-align: justify;">Expand some brackets:</p>
<p style="text-align: justify;">x²(b-c)+b²c+b²x-c²x-bc².</p>
<p style="text-align: justify;">Regroup: x²(b-c)+x(b²-c²)+bc(b-c)=x²(b-c)+x(b-c)(b+c)+bc(b-c).</p>
<p style="text-align: justify;">Common factor is b-c:</p>
<p style="text-align: justify;">(b-c)(x²+(b+c)x+bc)=(b-c)(x+b)(x+c)</p>
<p style="text-align: justify;"> </p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251561/x-2-b-c-b-2-c-x-c-2-x-b?show=251565#a251565Thu, 19 Apr 2018 10:18:59 +0000Answered: A composite number not a multiple of 2 or 5 and between 30 and 40, not a double digit
https://www.mathhomeworkanswers.org/251553/composite-number-not-multiple-and-between-not-double-digit?show=251564#a251564
<p style="text-align: justify;">Odd numbers between 39 and 40: 31, 33, 35, 37, 39.</p>
<p style="text-align: justify;">Eliminate primes: 33, 35, 39. Eliminate multiples of 5: 33, 39. Eliminate doubles: 39 is the composite.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/251553/composite-number-not-multiple-and-between-not-double-digit?show=251564#a251564Thu, 19 Apr 2018 09:41:26 +0000Answered: After how many seconds will the grasshopper land on the ground?
https://www.mathhomeworkanswers.org/251555/after-how-many-seconds-will-the-grasshopper-land-the-ground?show=251563#a251563
<p style="text-align:justify">I’m guessing this should be -t²+(4/3)t+1/4.</p>
<p style="text-align:justify">Rewrite this: 1/4-(t²-(4/3)t)=1/4-(t²-(4/3)t+4/9-4/9)=</p>
<p style="text-align:justify">1/4-((t-(2/3))²-4/9)=1/4+4/9-(t-(2/3))²=25/36-(t-⅔)².</p>
<p style="text-align:justify">When 25/36-(t-⅔)²=0, the grasshopper reaches the ground, so</p>
<p style="text-align:justify">t-⅔=5/6 and t=⅔+5/6=3/2 seconds (1.5 seconds).</p>
<p style="text-align:justify">Another way to do this:</p>
<p style="text-align:justify">-t²+(4/3)t+1/4=0, -12t²+16t+3=0, 12t²-16t-3=0=(2t-3)(6t+1), so 2t-3=0, t=3/2.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251555/after-how-many-seconds-will-the-grasshopper-land-the-ground?show=251563#a251563Thu, 19 Apr 2018 09:29:46 +0000Answered: Using numbers 1 6 7 8, write an expression that equals 11
https://www.mathhomeworkanswers.org/251529/using-numbers-1-6-7-8-write-an-expression-that-equals-11?show=251562#a251562
<p style="text-align: justify;">18-7!/6!=11</p>order of operationshttps://www.mathhomeworkanswers.org/251529/using-numbers-1-6-7-8-write-an-expression-that-equals-11?show=251562#a251562Thu, 19 Apr 2018 09:18:39 +0000Answered: The sum of two numbers is 17 and their.diffrence is 29 what are the two numbers?
https://www.mathhomeworkanswers.org/251554/sum-two-numbers-and-their-diffrence-what-are-the-two-numbers?show=251560#a251560
let a and b are the numbers we have a+b=17(1) and a-b=29(2)<br />
<br />
adding both sides of the equations we have a+a+b-b=17+29 --->>> 2a=46 and a=23<br />
<br />
subracting both sides we get; a-a+b+b=-12 ---->>>> 2b=-12 so b=-6Algebra 1 Answershttps://www.mathhomeworkanswers.org/251554/sum-two-numbers-and-their-diffrence-what-are-the-two-numbers?show=251560#a251560Thu, 19 Apr 2018 04:50:53 +0000Answered: It costs 2.50 to rent a pair of bowling shoes and 1.75 for each game bowled. Write a linear equation that models the cost y (in dollars) of bowling x games.
https://www.mathhomeworkanswers.org/251557/bowling-bowled-write-linear-equation-models-dollars-bowling?show=251558#a251558
y=1.75x+2.5Algebra 1 Answershttps://www.mathhomeworkanswers.org/251557/bowling-bowled-write-linear-equation-models-dollars-bowling?show=251558#a251558Thu, 19 Apr 2018 04:39:24 +0000Answered: Brenna saved 36% on a $15 pair of sunglasses. Choose the correct expression to find 36% of $15.
https://www.mathhomeworkanswers.org/251546/brenna-saved-pair-sunglasses-choose-correct-expression-find?show=251550#a251550
<p style="text-align:justify">36% of 15=<strong>36*15/100</strong>=9*15/25=9*3/5=27/5=$5.40. So the saving is $5.40 (and the cost is 15.00-5.40=$9.60). Another way you might see this is <strong>0.36*15</strong>.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/251546/brenna-saved-pair-sunglasses-choose-correct-expression-find?show=251550#a251550Wed, 18 Apr 2018 22:21:06 +0000Answered: How many, and what type of, solutions does 4^2 +12x +9 =0 have A. 2 nonreal solutions B. 2 rational solutions C. 2 irrational solutions 1 rational solution.
https://www.mathhomeworkanswers.org/251543/solutions-solutions-rational-solutions-irrational-solutions?show=251549#a251549
<p style="text-align: justify;">It’s assumed that the equation is a quadratic: 4x²+12x+9=0=(2x+3)². So there is only one solution because it’s a perfect square and x=-3/2 a single rational solution.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251543/solutions-solutions-rational-solutions-irrational-solutions?show=251549#a251549Wed, 18 Apr 2018 22:12:00 +0000Answered: In a three child family the probability that there are at least two girls is?
https://www.mathhomeworkanswers.org/251542/three-child-family-the-probability-that-there-least-two-girls?show=251548#a251548
<p style="text-align: justify;">The possible outcomes are: BBB BBG BGB BGG GBB GBG GGB GGG.</p>
<p style="text-align: justify;">Of these 8, 4 have at least two girls. The probability is 4/8=1/2.</p>Statistics Answershttps://www.mathhomeworkanswers.org/251542/three-child-family-the-probability-that-there-least-two-girls?show=251548#a251548Wed, 18 Apr 2018 22:07:53 +0000Answered: A round pizza is cut into congruent sectors. If the angle measure of the pizza slice is 20 degrees, how many pieces are in the whole pizza
https://www.mathhomeworkanswers.org/251545/round-congruent-sectors-angle-measure-degrees-pieces-whole?show=251547#a251547
<p style="text-align: justify;">We need to work out out how many times 20 goes into 360 degrees. 360/20=18 so 18 pieces of pizza can be cut.</p>Geometry Answershttps://www.mathhomeworkanswers.org/251545/round-congruent-sectors-angle-measure-degrees-pieces-whole?show=251547#a251547Wed, 18 Apr 2018 22:02:01 +0000Answered: Please help me to simplify a square root
https://www.mathhomeworkanswers.org/251537/please-help-me-to-simplify-a-square-root?show=251541#a251541
<p style="text-align: justify;">I’m not sure what you mean by simplifying a square root.</p>
<p style="text-align: justify;">The definition of the square root of a number we’ll call n is another number, which, when multiplied by itself, equals n. So let’s take an example. The square root of 81 (so n in this case is 81) is 9 because 9 times 9 is 81.</p>
<p style="text-align: justify;">You can also have square roots of a fraction. The square root of 4/9 is 2/3 because the square root of 4 is 2 and the square root of 9 is 3.</p>
<p style="text-align: justify;">But there are many numbers that don’t have such easy square roots. There is a technique for finding the square root that’s a bit like long division, but most people use calculators these days to work out square roots. You can make a guess at a square root. For example, what is the square root of 69? Since the square root of 64 is 8 and the next perfect square is 81, which has a square root of 9, we know that the square root of 69 must be between 8 and 9. The square root of 69 is an irrational number, which means that if we write it out as a decimal number, it starts with 8 but no matter how many decimal places we take the decimal goes on forever. And we can’t use a fraction to express the square root.</p>
<p style="text-align: justify;">But we can approximate to a square root. For example, 10/7 or 1³⁄₇ is an approximation for the square root of 2. Let’s see why 10/7 is a fair approximation. Multiply 10/7 by itself and we get 100/49. Because 10/7 approximates to √2, multiplying it by itself (squarng it) should give us a number close to 2. 100/49 is 98/49+2/49 which is 2 + 2/49 or 2²⁄₄₉. This is a little bit more than 2 (about 2.04), pretty close. And there are various tricks for finding square roots by calculation, but they can be tedious.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251537/please-help-me-to-simplify-a-square-root?show=251541#a251541Wed, 18 Apr 2018 18:00:55 +0000Answered: -9(4×^2-5×)-(3^2+9×)7
https://www.mathhomeworkanswers.org/251538/9-4-2-5-3-2-9-7?show=251540#a251540
<p style="text-align: justify;">I assume the crosses are x’s and there’s a missing x in the second bracket. I also assume you want to simplify the expression.</p>
<p style="text-align: justify;">So I guess you have -9(4x²-5x)-(3x²+9x)7.</p>
<p style="text-align: justify;">Expand the brackets: -36x²+45x-21x²-63x=-57x²-18x.</p>
<p style="text-align: justify;">It can be slightly simplified by separating out the common factor -3x:</p>
<p style="text-align: justify;">-3x(29x+6).</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251538/9-4-2-5-3-2-9-7?show=251540#a251540Wed, 18 Apr 2018 17:37:30 +0000Answered: Determine the amount that has to be invested now to be worth R10000 in 8 months' time, if the annual simple interest rate is 9,75%
https://www.mathhomeworkanswers.org/251535/determine-amount-invested-r10000-months-annual-simple-interest?show=251539#a251539
<p style="text-align: justify;">9.75% is the rate for 12 months so for 8 months it will be 8/12=2/3 of 9.75=2/3 of 9 plus 2/3 of 0.75=6.5%.</p>
<p style="text-align: justify;">The amount invested would increase by 6.5% in 8 months and would be worth 1.065 times its original value, so to find out what that value was we divide R10000 by 1.065=10000/1.065=R9389.67.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/251535/determine-amount-invested-r10000-months-annual-simple-interest?show=251539#a251539Wed, 18 Apr 2018 17:23:54 +0000Answered: About how tall is the Washington Monument?
https://www.mathhomeworkanswers.org/251530/about-how-tall-is-the-washington-monument?show=251533#a251533
there is a scale between the model and the real size. since the actual width measurment is 55 the scale is<br />
<br />
55/1.5=36.666 so the actual tall is 15(36.666)=550 in approx.Word Problem Answershttps://www.mathhomeworkanswers.org/251530/about-how-tall-is-the-washington-monument?show=251533#a251533Wed, 18 Apr 2018 11:44:51 +0000Answered: $7 for children and $10 for adults. 700 people attended, collected $6,400. How many children attended and how many adults attended?
https://www.mathhomeworkanswers.org/251531/children-attended-collected-children-attended-adults-attended?show=251532#a251532
let a the number of adults and c is the number for children<br />
<br />
then we have a+c=700 (1) and 10a+7c=6400 (2) from the (1) we get c=700-a plugging this value to (2)<br />
<br />
we get 10a+7(700-a)=6400 ---->> 10a+4900-7a=6400 and solving for a we get a=500 plugging this value to (1) we get 500+c=700 and solving for c we get c=200Word Problem Answershttps://www.mathhomeworkanswers.org/251531/children-attended-collected-children-attended-adults-attended?show=251532#a251532Wed, 18 Apr 2018 11:27:35 +0000Answered: Evaluate the expression √(-6)/(√(-3) √(-4)) and write the result in the form a+bi.
https://www.mathhomeworkanswers.org/251523/evaluate-the-expression-and-write-the-result-in-the-form-a-bi?show=251527#a251527
<ol>
<li style="text-align:justify">This can be written i√6/(i√3*i√4)=-i√6/2√3=-i√(6/3)/2=-i√2/2. So a=0 and b=-√2/2 for a+ib.</li>
<li style="text-align:justify">Another way is to calculate √(-6/((-3)(-4))=√(2/-4)=√-½=i√½=i√2/2. In this case b=√2/2 and a=0.</li>
</ol>
<p style="text-align:justify">Which is correct? First note that b²=½ for both (1) and (2). But (1) is the correct answer because of the way the expression is given as separate square roots. Each one should be evaluated separately as shown in (1).</p>
<p style="text-align:justify">In (2), √2/√-4)=1/√-2=1/(i√2). 1/i=-i because if we multiply through by i we get 1=-i²=+1. Hence the negative sign on the final answer. Therefore a=0 and b=-√2/2 or -1/√2 before rationalisation.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251523/evaluate-the-expression-and-write-the-result-in-the-form-a-bi?show=251527#a251527Tue, 17 Apr 2018 22:20:15 +0000Answered: which expression can be used to find 25 percent of 88?
https://www.mathhomeworkanswers.org/251524/which-expression-can-be-used-to-find-25-percent-of-88?show=251526#a251526
<p style="text-align: justify;">25*88/100=22</p>Pre-Algebra Answershttps://www.mathhomeworkanswers.org/251524/which-expression-can-be-used-to-find-25-percent-of-88?show=251526#a251526Tue, 17 Apr 2018 22:01:17 +0000Answered: A boat goes upstream in 3 miles 4 hours then down stream in 2 hours and 9 miles . What is the speed of the river
https://www.mathhomeworkanswers.org/251522/boat-upstream-miles-hours-stream-hours-miles-what-speed-river?show=251525#a251525
<p style="text-align:justify">If the speed of the river is r and of the boat is b in still water, then upstream against the current the combined speed is b-r and downstream with the current it's b+r.</p>
<p style="text-align:justify">So 3=(b-r)*4 is the relation between the distance, speed and time for the upstream trip.</p>
<p style="text-align:justify">9=(b+r)*2 is the relation for the downstream trip.</p>
<p style="text-align:justify">Therefore 3=4b-4r and 9=2b+2r. Double the latter: 18=4b+4r.</p>
<p style="text-align:justify">Subtract the first equation from this: 18-3=8r, so r=15/8=1.875mph.</p>
<p style="text-align:justify">(The boat’s speed can also be found by adding the equations: 8b=21, so b=21/8=2.625mph.)</p>
<p style="text-align:justify">The speed of the river’s current is 1.875mph.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251522/boat-upstream-miles-hours-stream-hours-miles-what-speed-river?show=251525#a251525Tue, 17 Apr 2018 21:58:25 +0000Answered: A population of values has a normal distribution with μ = 166 μ=166 and σ = 52.2 σ=52.2. You intend to draw a random sample of size n = 97 n=97.
https://www.mathhomeworkanswers.org/247761/population-values-normal-distribution-intend-random-sample?show=251521#a251521
<p style="text-align:justify">The sample mean is the same as the population mean=µᵪ=166.</p>
<p style="text-align:justify">The sample SD, σᵪ is 52.2/√(97-1)=52.2/√96=5.33 approx. This calculation contains a correction factor which does not apply to calculations of the population standard deviation. Instead of dividing by √97 (square root of the sample size) we take one less than this value before finding the square root.</p>Statistics Answershttps://www.mathhomeworkanswers.org/247761/population-values-normal-distribution-intend-random-sample?show=251521#a251521Tue, 17 Apr 2018 14:56:53 +0000Answered: Finding the probabilities using standard normal distribution 1) P(0<z<1.96) 2) P(0<z<0.67)
https://www.mathhomeworkanswers.org/251516/finding-probabilities-using-standard-normal-distribution?show=251520#a251520
<p style="text-align:justify">When z=0 this corresponds to 0.5 or 50%, the central division of the symmetrical normal distribution. There is an equal probability of being on the left or right side of this division (the mean), half on the left and half on the right.</p>
<ol>
<li style="text-align:justify">z=1.96 corresponds to 0.9750 or 97.5%. The probability is therefore 97.5-50=47.5%.</li>
<li style="text-align:justify">z=0.67 corresponds to 0.7486 or 74.86%. So the probability is 74.86-50=24.86%.</li>
</ol>
<p style="text-align:justify"> </p>Statistics Answershttps://www.mathhomeworkanswers.org/251516/finding-probabilities-using-standard-normal-distribution?show=251520#a251520Tue, 17 Apr 2018 13:45:37 +0000Answered: find the equation if gradient is 2 and point A(1,2)
https://www.mathhomeworkanswers.org/251517/find-the-equation-if-gradient-is-2-and-point-a-1-2?show=251519#a251519
<p style="text-align:justify">Slope intercept of this is is y-2=2(x-1), when the gradient is 2.</p>
<p style="text-align:justify">This can be written y=2x-2+2=2x so y=2x is the equation of the line.</p>
<p style="text-align:justify">If the gradient is 1 we write y-2=x-1 so y=x+1 is the equation.</p>
<p style="text-align:justify"> </p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/251517/find-the-equation-if-gradient-is-2-and-point-a-1-2?show=251519#a251519Tue, 17 Apr 2018 13:34:27 +0000