Math Homework Answers - Recent questions and answers
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Powered by Question2AnswerAnswered: solve f-1(x) = -4
https://mathhomeworkanswers.org/258235/solve-f-1-x-4?show=258266#a258266
<p style="text-align: justify;">f⁻¹(x)=-4, f⁻¹(y)=-4, if y=f(x) then f⁻¹(f(x))=x=-4 so x=-4.</p>https://mathhomeworkanswers.org/258235/solve-f-1-x-4?show=258266#a258266Sat, 23 Feb 2019 20:35:58 +0000Answered: what is the solution to the inequality 7x-26>3(3x-2) ?
https://mathhomeworkanswers.org/7240/what-is-the-solution-to-the-inequality-7x-26-3-3x-2?show=258265#a258265
<p>First use distributive property. 3 x 3 = 9x 3 x - 2 = - 6</p>
<p>Now substract the like terms. 7x - 9x = -2x</p>
<p>So far we have -2x - 26 > -6</p>
<p>Now d0 -26 + 26 = 0 but do it to -6 as well. -6 + 26 = 20</p>
<p>Now we have -2x > 20</p>
<p>All you do now is divide -2 / 20 = -10</p>
<p><strong>Answer: x < -10</strong></p>Algebra 1 Answershttps://mathhomeworkanswers.org/7240/what-is-the-solution-to-the-inequality-7x-26-3-3x-2?show=258265#a258265Sat, 23 Feb 2019 17:30:56 +0000Answered: 23.99 x 3
https://mathhomeworkanswers.org/258242/23-99-x-3?show=258264#a258264
23.99 x 3 = $71.97https://mathhomeworkanswers.org/258242/23-99-x-3?show=258264#a258264Sat, 23 Feb 2019 17:16:35 +0000Answered: What is the solution to the following inequality 3x + 7 > -5?
https://mathhomeworkanswers.org/258261/what-is-the-solution-to-the-following-inequality-3x-7-5?show=258263#a258263
<p>Question:</p>
<p><span style="font-family:open sans,sans-serif; font-size:14px">What is the solution to the following inequality: </span><span style="font-family:open sans,sans-serif; font-size:14px">3x + 7 > -5</span></p>
<p><span style="font-family:open sans,sans-serif; font-size:14px">First do 7-7 = 0 <strong>do it to the other side</strong> -5 - 7 = - 12.</span></p>
<p><span style="font-family:open sans,sans-serif; font-size:14px"><strong>Divide</strong> -12 / 3 = -4</span></p>
<p><strong><u><span style="font-family:open sans,sans-serif; font-size:14px">Answer: x > -4</span></u></strong></p>Algebra 1 Answershttps://mathhomeworkanswers.org/258261/what-is-the-solution-to-the-following-inequality-3x-7-5?show=258263#a258263Sat, 23 Feb 2019 17:14:21 +0000Answered: what is 87 divided by 0.11
https://mathhomeworkanswers.org/258253/what-is-87-divided-by-0-11?show=258262#a258262
<p><u><span style="color:#800080">87/0.11 = 790.909090909</span></u></p>Algebra 1 Answershttps://mathhomeworkanswers.org/258253/what-is-87-divided-by-0-11?show=258262#a258262Sat, 23 Feb 2019 17:08:08 +0000Answered: In triangle ABC, side ‘a’ is twice as long as side ‘b’. If the hypotenuse is 30m long, solve the triangle.
https://mathhomeworkanswers.org/258206/triangle-side-twice-long-side-hypotenuse-long-solve-triangle?show=258250#a258250
X square + 2X squared = 30m squared 3x^2= 30m^2 3x^2/3 = 30m^2/3 X^2 = 10m^2 √X^2 = √100 X = 10 Side A = 20 Side B = 10Trigonometry Answershttps://mathhomeworkanswers.org/258206/triangle-side-twice-long-side-hypotenuse-long-solve-triangle?show=258250#a258250Sat, 23 Feb 2019 08:46:01 +0000If you flip a coin 12 times, what is the probability of ending up with more heads than tails?
https://mathhomeworkanswers.org/258241/flip-coin-times-what-probability-ending-more-heads-than-tails
<p><span style="font-family:&amp">If you flip a coin 12 times, what is the probability of ending up with more heads than tails? </span></p>Statistics Answershttps://mathhomeworkanswers.org/258241/flip-coin-times-what-probability-ending-more-heads-than-tailsSat, 23 Feb 2019 01:23:00 +0000Answered: 5 + 2 × 10 =
https://mathhomeworkanswers.org/233861/5-2-10?show=258236#a258236
Math rules, multiply/division then add/subtract<br />
5+2x10<br />
5+(2x10)<br />
<br />
5+20 =25<br />
<br />
The answer is 25Other Math Topicshttps://mathhomeworkanswers.org/233861/5-2-10?show=258236#a258236Fri, 22 Feb 2019 19:04:21 +0000find the trigonometric functions in 153.85 cycles per second
https://mathhomeworkanswers.org/258234/find-the-trigonometric-functions-in-153-85-cycles-per-second
frequencyTrigonometry Answershttps://mathhomeworkanswers.org/258234/find-the-trigonometric-functions-in-153-85-cycles-per-secondFri, 22 Feb 2019 18:11:35 +00000.3, 19/50, 22%
https://mathhomeworkanswers.org/258231/0-3-19-50-22%25
Least to greatestWord Problem Answershttps://mathhomeworkanswers.org/258231/0-3-19-50-22%25Fri, 22 Feb 2019 15:39:56 +0000what is the probability that you will roll a 3 and a 1 ( order not important)?
https://mathhomeworkanswers.org/258228/what-the-probability-that-you-will-roll-and-order-important
consider rolling two ten-sided numbered polyhedrons( sides labelled 0-9)Statistics Answershttps://mathhomeworkanswers.org/258228/what-the-probability-that-you-will-roll-and-order-importantFri, 22 Feb 2019 14:41:48 +0000Answered: What is 6 divided by 297
https://mathhomeworkanswers.org/258208/what-is-6-divided-by-297?show=258220#a258220
<p style="text-align: justify;">Do you mean 6 divided into 297? If you do then the problem can be simplified: 297/6=99/2 because 3 goes into the top and the bottom. Half of 99 is 49½.</p>
<p style="text-align: justify;">If you really did mean 6 divided by 297 then the answer is 2/99=0.020202...</p>Other Math Topicshttps://mathhomeworkanswers.org/258208/what-is-6-divided-by-297?show=258220#a258220Fri, 22 Feb 2019 10:25:09 +0000Answered: =(24-17)-6
https://mathhomeworkanswers.org/258202/24-17-6?show=258219#a258219
<p style="text-align: justify;">Work out 24-17 first=7 then take away 6, to leave 1.</p>Other Math Topicshttps://mathhomeworkanswers.org/258202/24-17-6?show=258219#a258219Fri, 22 Feb 2019 10:20:37 +0000Answered: What is equal to 9
https://mathhomeworkanswers.org/258203/what-is-equal-to-9?show=258218#a258218
<p style="text-align: justify;">Many things are equal to 9.</p>
<p style="text-align: justify;">3×3=9,</p>
<p style="text-align: justify;">1+8=9, 2+7=9, 3+6=9, 4+5=9 are just a few.</p>Pre-Algebra Answershttps://mathhomeworkanswers.org/258203/what-is-equal-to-9?show=258218#a258218Fri, 22 Feb 2019 10:19:14 +0000Answered: f(x) = 9x − 5, g(x) = 1 − x Find (f + g)(x)
https://mathhomeworkanswers.org/258204/f-x-9x-%E2%88%92-5-g-x-1-%E2%88%92-x-find-f-g-x?show=258217#a258217
<p style="text-align: justify;">(f+g)(x)=9x-5+1-x=8x-4</p>Algebra 2 Answershttps://mathhomeworkanswers.org/258204/f-x-9x-%E2%88%92-5-g-x-1-%E2%88%92-x-find-f-g-x?show=258217#a258217Fri, 22 Feb 2019 10:15:56 +0000Answered: 128=4(4x+8)
https://mathhomeworkanswers.org/258199/128-4-4x-8?show=258200#a258200
<p style="text-align: justify;">We can divide both sides by 4: 32=4x+8, then divide through again by 4: 8=x+2, subtract 2 from each side: 6=x so x=6.</p>https://mathhomeworkanswers.org/258199/128-4-4x-8?show=258200#a258200Fri, 22 Feb 2019 00:17:45 +0000Answered: 3a + 4b + 5c
https://mathhomeworkanswers.org/90771/3a-4b-5c?show=258196#a258196
<p style="text-align: justify;">The sum of the coefficients is 3+4+5=12</p>Algebra 2 Answershttps://mathhomeworkanswers.org/90771/3a-4b-5c?show=258196#a258196Thu, 21 Feb 2019 13:51:41 +0000Answered: predict the probabaility of how many times each marble is pulled if we did the experiment 288 times
https://mathhomeworkanswers.org/78478/predict-probabaility-times-marble-pulled-experiment-times?show=258187#a258187
<p style="text-align: justify;">There is one marble of each type, so the probability of selecting a particular type is ¼. The average number of marbles for each type is 288/4=72. That is, in 288 trials you would expect to draw 72 black, 72 striped, 72 wavy lined, 72 dotted on average.</p>Word Problem Answershttps://mathhomeworkanswers.org/78478/predict-probabaility-times-marble-pulled-experiment-times?show=258187#a258187Thu, 21 Feb 2019 09:57:54 +0000Answered: 288 divided by 7
https://mathhomeworkanswers.org/258179/288-divided-by-7?show=258186#a258186
<p style="text-align: justify;">288=280+8, so divide 280 by 7=40 and add this to 8 divided by 7=1 (remainder 1) =40+1=41 remainder 1.</p>Other Math Topicshttps://mathhomeworkanswers.org/258179/288-divided-by-7?show=258186#a258186Thu, 21 Feb 2019 09:50:40 +0000Answered: 2x + 3 = x -4
https://mathhomeworkanswers.org/258172/2x-3-x-4?show=258185#a258185
<p style="text-align: justify;">2x+3=x-4</p>
<p style="text-align: justify;">Subtract x from each side: x+3=-4</p>
<p style="text-align: justify;">Subtract 3 from each side: x=-7</p>https://mathhomeworkanswers.org/258172/2x-3-x-4?show=258185#a258185Thu, 21 Feb 2019 09:45:27 +0000Answered: (2a+3b)(3a-4b)
https://mathhomeworkanswers.org/258177/2a-3b-3a-4b?show=258184#a258184
<p style="text-align: justify;">2a(3a-4b)+3b(3a-4b)=6a²-8ab+9ab-12b²=6a²+ab-12b².</p>Trigonometry Answershttps://mathhomeworkanswers.org/258177/2a-3b-3a-4b?show=258184#a258184Thu, 21 Feb 2019 09:42:27 +0000Answered: How much miles did they drive average per year
https://mathhomeworkanswers.org/258171/how-much-miles-did-they-drive-average-per-year?show=258183#a258183
<p style="text-align: justify;">Miles per year=53790/8.25=6520 miles per year</p>Other Math Topicshttps://mathhomeworkanswers.org/258171/how-much-miles-did-they-drive-average-per-year?show=258183#a258183Thu, 21 Feb 2019 09:39:17 +0000Answered: 68 divided by 5
https://mathhomeworkanswers.org/258169/68-divided-by-5?show=258170#a258170
<p style="text-align: justify;">68/5=13⅗ or 13.6</p>Calculus Answershttps://mathhomeworkanswers.org/258169/68-divided-by-5?show=258170#a258170Wed, 20 Feb 2019 23:18:15 +0000Answered: jake drank 3/8 of his water in the morning and another 1/3 of what was left at lunch. how much water does he has at the end of the day?
https://mathhomeworkanswers.org/258162/jake-drank-water-morning-another-left-lunch-much-water-does?show=258168#a258168
<p style="text-align:justify">After drinking ⅜ of the water, there would be ⅝ remaining. ⅓ of this is ⁵⁄₂₄, leaving ⅔ of ⅝ which is ¹⁰⁄₂₄=⁵⁄₁₂.</p>
<p style="text-align:justify">An easy way of looking at this is to suppose he had 24 fluid ounces of water at the beginning of the day. So he drank ⅜ which is 9 fluid ounces, leaving 15. He drank a further ⅓ which is 5 fluid ounces leaving 10 fluid ounces. And 10 fluid ounces is ¹⁰⁄₂₄ of the amount of water he started with, which cancels down to ⁵⁄₁₂.</p>
<p style="text-align:justify"> </p>Word Problem Answershttps://mathhomeworkanswers.org/258162/jake-drank-water-morning-another-left-lunch-much-water-does?show=258168#a258168Wed, 20 Feb 2019 22:22:33 +0000Answered: If a,b and c all are positive integers,prove that (a/b+c)+(b/c+a)+(c/a+b)>3/2
https://mathhomeworkanswers.org/104483/if-a-b-and-c-all-are-positive-integers-prove-that-a-b-c-b-c-a-c-a-b-3-2?show=258163#a258163
<p style="text-align:justify">If a=b=c≠0, the expression evaluates as ½+½+½=3/2. So the expression is not >3/2, and the inequality is untrue. The smallest values for (a,b,c)=(1,2,3) if we reject zero as an integer, and the inequality is true: ⅕+½+1=17/10>3/2. If we accept zero as an integer, then (a,b,c)=(0,1,2) and we get 0+½+2=5/2>3/2, so the inequality is true. For small integers the inequality is true and the sum of the fractions exceeds 3/2. </p>
<p style="text-align:justify">Because of symmetry we only need to consider a<b<c. When a becomes very large, and b and c are close to a, the inequality remains true but the sum of the fractions gets closer to 3/2 and is always larger. For example, if b=a+1 and c=a+2, the sum becomes a/(2a+3)+½+(a+2)/(2a+1)=½+(a(2a+1)+(a+2)(2a+3))/(4a²+5a+3).</p>
<p style="text-align:justify">Expanding this we get:</p>
<p style="text-align:justify">½+(4a²+8a+6)/(4a²+5a+3)=½+(4a²+5a+3+3(a+1))/(4a²+5a+3), so the fraction is always bigger than 1 so the sum>3/2.</p>Algebra 1 Answershttps://mathhomeworkanswers.org/104483/if-a-b-and-c-all-are-positive-integers-prove-that-a-b-c-b-c-a-c-a-b-3-2?show=258163#a258163Wed, 20 Feb 2019 21:47:30 +0000Answered: how do you add d^2/(d-b)+b^2/(b-d)
https://mathhomeworkanswers.org/55521/how-do-you-add-d-2-d-b-b-2-b-d?show=258161#a258161
<p style="text-align:justify">This can be rewritten: d²/(d-b)-b²/(d-b).</p>
<p style="text-align:justify">This simplifies: (d²-b²)/(d-b)=(d-b)(d+b)/(d-b)=d+b for d≠b.</p>Algebra 1 Answershttps://mathhomeworkanswers.org/55521/how-do-you-add-d-2-d-b-b-2-b-d?show=258161#a258161Wed, 20 Feb 2019 20:41:17 +0000Answered: Evaluate 13-0.75w+8x13−0.75w+8x13, minus, 0, point, 75, w, plus, 8, x when w=12w=12w, equals, 12 and x=\dfrac12x= 2 1 x, equals, start fraction, 1, divided by, 2, end fraction.
https://mathhomeworkanswers.org/247384/evaluate-8x13%E2%88%920-equals-dfrac12x-fraction-divided-fraction?show=258160#a258160
<p style="text-align: justify;">I read this as: Evaluate 13-0.75w+8x when w=12 and x=½.</p>
<p style="text-align: justify;">This comes to 13-0.75×12+8×½=13-9+4=8.</p>Pre-Algebra Answershttps://mathhomeworkanswers.org/247384/evaluate-8x13%E2%88%920-equals-dfrac12x-fraction-divided-fraction?show=258160#a258160Wed, 20 Feb 2019 20:35:13 +0000Answered: Find the first derivative of y = √(x-3)
https://mathhomeworkanswers.org/238919/find-the-first-derivative-of-y-%E2%88%9A-x-3?show=258159#a258159
X^2+cos xCalculus Answershttps://mathhomeworkanswers.org/238919/find-the-first-derivative-of-y-%E2%88%9A-x-3?show=258159#a258159Wed, 20 Feb 2019 20:31:15 +0000Answered: To the nearest tenth of a degree, what is the measure of the central angle that represents 46% in a circle graph?
https://mathhomeworkanswers.org/258156/nearest-tenth-degree-measure-central-represents-circle-graph?show=258158#a258158
<p style="text-align: justify;">46% as a decimal is 0.46. This is equivalent to an angle of 0.46×360=165.6°.</p>Pre-Algebra Answershttps://mathhomeworkanswers.org/258156/nearest-tenth-degree-measure-central-represents-circle-graph?show=258158#a258158Wed, 20 Feb 2019 20:20:21 +0000Answered: graph the inequality 7x+8 is less than 2+11x+6
https://mathhomeworkanswers.org/11867/graph-the-inequality-7x-8-is-less-than-2-11x-6?show=258155#a258155
<p style="text-align:justify">2+11x+6 simplifies to 11x+8. The graph shows the lines y=7x+8 (red) and y=11x+8 (blue).</p>
<p style="text-align:justify">The inequality is where the red line is lower than the blue, that is, when x>0.</p>
<p style="text-align:justify"><img alt="" src="https://mathhomeworkanswers.org/?qa=blob&qa_blobid=4237162859121737886" style="height:557px; width:450px"></p>Algebra 2 Answershttps://mathhomeworkanswers.org/11867/graph-the-inequality-7x-8-is-less-than-2-11x-6?show=258155#a258155Wed, 20 Feb 2019 17:04:19 +0000Answered: how do you show that 1/2 is a root of multiplicity 2 of the equation: 4Xcubed 8Xsquared-11X 3=0
https://mathhomeworkanswers.org/9297/how-show-that-root-multiplicity-equation-4xcubed-8xsquared?show=258153#a258153
If X=½ is a double root then the cubic can be written:<br />
<br />
(X-½)²(X-a)=0 where a is the third root.<br />
<br />
(X²-X+¼)(X-a)=0. Multiply through by 4:<br />
<br />
(4X²-4X+1)(X-a)=4X³-4X²+X-4aX²+4aX-a=4X³+8X²-11X+3.<br />
<br />
Equating coefficients:<br />
<br />
X²: -4-4a=8, so -4-8=4a, -12=4a, a=-3.<br />
<br />
X: 1+4a=-11, so 4a=-12, a=-3. So we have a consistent value for a and the cubic is factorisable:<br />
<br />
(X-½)(X-½)(X+3), showing that ½ is a multiple root.Algebra 1 Answershttps://mathhomeworkanswers.org/9297/how-show-that-root-multiplicity-equation-4xcubed-8xsquared?show=258153#a258153Wed, 20 Feb 2019 16:44:56 +0000Answered: 8x^4+56x^2y^2-80y^4
https://mathhomeworkanswers.org/100254/8x-4-56x-2y-2-80y-4?show=258152#a258152
<p style="text-align:justify">8(x⁴+7x²y²-10y⁴)= (this is as far as it goes for rational factorisation)</p>
<p style="text-align:justify">8(x⁴+7x²y²+49y⁴/4-49y⁴/4-10y⁴)=</p>
<p style="text-align:justify">8((x²+7y²/2)²-y⁴(49/4+10))=</p>
<p style="text-align:justify">8(x²+7y²/2+y²√89/2)(x²+7y²/2-y²√89/2).</p>
<p style="text-align:justify">Further factorisation is possible for x²+7y²/2-y²√89/2, but more irrational terms are introduced.</p>
<p style="text-align:justify">[If the original expression had been 8x⁴+56x²y²+10y⁴, it would factorise:</p>
<p style="text-align:justify">8(x²+5y²)(x²+2y²).]</p>
<p style="text-align:justify"> </p>Calculus Answershttps://mathhomeworkanswers.org/100254/8x-4-56x-2y-2-80y-4?show=258152#a258152Wed, 20 Feb 2019 16:04:07 +0000Answered: -7x^9y^7-56x^7y^6-42xy
https://mathhomeworkanswers.org/116182/7x-9y-7-56x-7y-6-42xy?show=258151#a258151
<p style="text-align: justify;">-7x⁹y⁷-56x⁷y⁶-42xy=</p>
<p style="text-align: justify;">-7(x⁹y⁷+8x⁷y⁶+6xy)=</p>
<p style="text-align: justify;">-7xy(x⁸y⁶+8x⁶y⁵+6)</p>Other Math Topicshttps://mathhomeworkanswers.org/116182/7x-9y-7-56x-7y-6-42xy?show=258151#a258151Wed, 20 Feb 2019 15:39:46 +0000Answered: If m(a) is divided by a+1 and the remainder is -3, what can be said about -1?
https://mathhomeworkanswers.org/258123/if-m-is-divided-by-and-the-remainder-is-3-what-can-be-said-about?show=258142#a258142
<p style="text-align:justify">m(a)/(a+1)=n-3/(a+1), where n is an integer, EXCEPT when a+1=0, that is, a=-1.</p>
<p style="text-align:justify">We can say that a cannot be -1 because that would give us division by zero.</p>
<p style="text-align:justify">Your statement is not correct. It should be “variable a cannot be -1 because that would mean a+1 is zero and dividing by zero gives an undefined result”.</p>
<p style="text-align:justify">(For example, if m(a)=a-2 then m(a)/(a+1)=(a-2)/(a+1)=1-3/(a+1). Now put a=-2, and we get the result 4. Put a=0 and the result is -2. Put a=-1.1 and the result is 31; for a=-0.9 it’s -29.)</p>Algebra 2 Answershttps://mathhomeworkanswers.org/258123/if-m-is-divided-by-and-the-remainder-is-3-what-can-be-said-about?show=258142#a258142Wed, 20 Feb 2019 10:14:28 +0000Answered: -.1875x^2+201.56x
https://mathhomeworkanswers.org/258126/1875x-2-201-56x?show=258141#a258141
<p style="text-align:justify">The domain is unrestricted (-∞,∞), but the range is restricted to 54168.6 (approx) as maximum. We get this value by putting x=201.56/(2×0.1875) into the expression. This is the vertex of a concave down parabola.</p>https://mathhomeworkanswers.org/258126/1875x-2-201-56x?show=258141#a258141Wed, 20 Feb 2019 10:06:49 +0000Answered: How do you solve 12w^2+25w-7=0?
https://mathhomeworkanswers.org/258125/how-do-you-solve-12w-2-25w-7-0?show=258140#a258140
<p style="text-align:justify">We look for rational answers first by noting the factors of 12 and 7.</p>
<p style="text-align:justify">Factors of 12 in pairs (1,12), (2,6), (3,4).</p>
<p style="text-align:justify">Factors of 7 are (1,7).</p>
<p style="text-align:justify">We are looking to factor in this form (aw±b)(cw∓d)=12w²+25w-7=0.</p>
<p style="text-align:justify">Since we know the factors of 7 we can put b=1 and d=7.</p>
<p style="text-align:justify">If we expand the parentheses we get:</p>
<p style="text-align:justify">12w²±w(7a-c)-7=0, and we want 7a-c=25 where ac=12. If we use (c,a)=(3,4), we get 28-3=25.</p>
<p style="text-align:justify">Therefore 12w²+25w-7=12w²+w(28-3)-7=(4w-1)(3w+7)=0, w=¼ or -⁷⁄₃.</p>https://mathhomeworkanswers.org/258125/how-do-you-solve-12w-2-25w-7-0?show=258140#a258140Wed, 20 Feb 2019 09:56:13 +0000Answered: 1/4=z/20
https://mathhomeworkanswers.org/258122/1-4-z-20?show=258138#a258138
<p style="text-align: justify;">1/4=z/20. Since 20 is 5×4 we multiply 1 by 5 to get z, so z=5. 1/4=5/20.</p>Pre-Algebra Answershttps://mathhomeworkanswers.org/258122/1-4-z-20?show=258138#a258138Wed, 20 Feb 2019 09:37:59 +0000Answered: What is 3px3p
https://mathhomeworkanswers.org/258124/what-is-3px3p?show=258137#a258137
<p style="text-align: justify;">The answer is 9p².</p>https://mathhomeworkanswers.org/258124/what-is-3px3p?show=258137#a258137Wed, 20 Feb 2019 09:35:50 +0000Answered: -1/4X - 7 + 9/4X + 2X
https://mathhomeworkanswers.org/258127/1-4x-7-9-4x-2x?show=258136#a258136
<p style="text-align:justify">9X/4-X/4=8X/4=2X and 2X+2X=4X, and 4X-7 is the result of the first expression which is the same as the second expression. Therefore the two expressions are equivalent and the second one is a simplified version of the first. Tran is right.</p>
<p style="text-align:justify">If we put X=4 into both we get -1-7+9+8=9 and 4X-7=16-7=9. So that’s correct.</p>
<p style="text-align:justify">If we put X=0 into both we get -7. So by substitution we show that the two expressions are equivalent.</p>
<p style="text-align:justify"> </p>Pre-Algebra Answershttps://mathhomeworkanswers.org/258127/1-4x-7-9-4x-2x?show=258136#a258136Wed, 20 Feb 2019 09:27:29 +0000Answered: 8/9÷ 12 in (fraction form)
https://mathhomeworkanswers.org/258121/8-9-12-in-fraction-form?show=258135#a258135
<p style="text-align: justify;">⁸⁄₉÷12=8/(9×12)=2/(9×3)=2/27=²⁄₂₇.</p>Fraction Problemshttps://mathhomeworkanswers.org/258121/8-9-12-in-fraction-form?show=258135#a258135Wed, 20 Feb 2019 09:20:34 +0000Answered: X*x+7x=144
https://mathhomeworkanswers.org/258118/x-x-7x-144?show=258120#a258120
<p style="text-align: justify;">x²+7x=144, x²+7x-144=0=(x+16)(x-9). So x=-16 or 9.</p>Algebra 1 Answershttps://mathhomeworkanswers.org/258118/x-x-7x-144?show=258120#a258120Wed, 20 Feb 2019 00:17:41 +0000Answered: The number b plus the quotient of 8 and a number a
https://mathhomeworkanswers.org/258117/the-number-b-plus-the-quotient-of-8-and-a-number-a?show=258119#a258119
<p style="text-align: justify;">b+8/a is the expression.</p>Pre-Algebra Answershttps://mathhomeworkanswers.org/258117/the-number-b-plus-the-quotient-of-8-and-a-number-a?show=258119#a258119Wed, 20 Feb 2019 00:13:03 +0000Answered: the hardware store is 5/8 miles from Sara's house. She walks 1/3 of the way from her house to the hardware store and then turns round and walk back home. What distance in miles does Sara walks?
https://mathhomeworkanswers.org/258114/hardware-walks-hardware-store-turns-round-distance-miles-walks?show=258116#a258116
<p style="text-align: justify;">She walks ⅓ of the way to and ⅓ back so that’s ⅔ of ⅝ mile=2×5/(3×8)=5/(3×4)=5/12 mile.</p>Word Problem Answershttps://mathhomeworkanswers.org/258114/hardware-walks-hardware-store-turns-round-distance-miles-walks?show=258116#a258116Tue, 19 Feb 2019 23:30:22 +0000Answered: In an elementary school, 70% of the 1st graders are girls and 30% of the 2nd graders are girls. if 40% of all first and second graders are girls, then what is the ratio of 1st graders to 2nd graders?
https://mathhomeworkanswers.org/258113/elementary-school-graders-graders-graders-graders-graders?show=258115#a258115
<p style="text-align:justify">Let F= no. of 1st graders and S=no. of 2nd graders.</p>
<p style="text-align:justify">0.7F+0.3S=0.4(F+S) (total girls).</p>
<p style="text-align:justify">Divide through by S: 0.7F/S+0.3=0.4(F/S+1)</p>
<p style="text-align:justify">The ratio of first to second graders is r=F/S so 0.7r+0.3=0.4r+0.4.</p>
<p style="text-align:justify">0.7r-0.4r=0.4-0.3=0.1, 0.3r=0.1, r=0.1/0.3=1/3 so the ratio is 1:3.</p>https://mathhomeworkanswers.org/258113/elementary-school-graders-graders-graders-graders-graders?show=258115#a258115Tue, 19 Feb 2019 23:07:06 +0000Answered: What is 323 divided by 17 (show work!)
https://mathhomeworkanswers.org/74353/what-is-323-divided-by-17-show-work?show=258111#a258111
323 divided by 17 is 19. Start with the first two digits: 17 goes into 32 how many times? Once with 15 remainder. Take the 15 and tack it onto the last digit (3) to get 153 and then ask: how many times does 17 go into 153? Well we know that 17 goes into 170 ten times. And we know that the difference between 153 and 170 is 17. Therefore 17 goes into 153 one less time than ten which is the same as saying 17 goes into 153 nine times. Since we know that 17 goes into the first two digits of 323 once and the remainder plus the last digit (153) nine times, we put the 1 and the 9 together to make 19. 17 goes into 323 nineteen times: 323/17=19Algebra 2 Answershttps://mathhomeworkanswers.org/74353/what-is-323-divided-by-17-show-work?show=258111#a258111Tue, 19 Feb 2019 16:17:39 +0000Answered: Can the expression 7x to the power of 2 plus 9 plus 3x be simplified to 10x to the power of 2 plus 9?
https://mathhomeworkanswers.org/258107/can-expression-the-power-plus-plus-simplified-the-power-plus?show=258110#a258110
<p style="margin-left: 40px; text-align: justify;">Does 7x²+9+3x = 10x²+9? Subtract 9 from each side: 7x²+3x=10x², subtract 7x² from each side: 3x=3x², so x=x² and x²-x=0. Therefore x(x-1)=0 and x=0 or 1. So the original equation is only true when x=0 or 1, and is not true for other values of x. Therefore the two expressions are not equivalent, and the second is not a simplification of the first. But 7x²+9+3x² can be simplified to 10x²+9.</p>Calculus Answershttps://mathhomeworkanswers.org/258107/can-expression-the-power-plus-plus-simplified-the-power-plus?show=258110#a258110Tue, 19 Feb 2019 16:06:09 +0000Answered: If I have 5/8 of pound of rice and use 2/3 of it. How much rice did I use?
https://mathhomeworkanswers.org/247478/if-i-have-8-of-pound-of-rice-and-use-2-3-of-it-how-much-rice-did-use?show=258109#a258109
<p style="text-align: justify;">⅔ of ⅝=2×5/(3×8)=5/(3×4)=5/12. So ⁵⁄₁₂lb is used. That’s 5×16/12=5×4/3=20/3=6⅔oz.</p>Word Problem Answershttps://mathhomeworkanswers.org/247478/if-i-have-8-of-pound-of-rice-and-use-2-3-of-it-how-much-rice-did-use?show=258109#a258109Tue, 19 Feb 2019 15:57:50 +0000Answered: 8 2/5 kilometer mountain. 2 1/4 kilometers+1 7/8 kilometers+1 2/9 kilometers. How much farther do they have to travel to reach the peak of the mountain?
https://mathhomeworkanswers.org/258103/kilometer-mountain-kilometers-kilometers-kilometers-mountain?show=258108#a258108
<p style="text-align:justify">To add the mixed numbers, add the whole numbers first: 2+1+1=4.</p>
<p style="text-align:justify">Now to add the fractions. Common denominator is 72.</p>
<p style="text-align:justify">¼=18/72, ⅞=63/72, ²⁄₉=16/72, added together is (18+63+16)/72=97/72=1²⁵⁄₇₂.</p>
<p style="text-align:justify">So the total distance so far is 4+1²⁵⁄₇₂=5²⁵⁄₇₂.</p>
<p style="text-align:justify">We now need to subtract this from 8⅖.</p>
<p style="text-align:justify">Subtract 5 from 8 first=3.</p>
<p style="text-align:justify">To subtract the fractions we need the common denominator of 5 and 72, which is 360.</p>
<p style="text-align:justify">⅖=144/360 and ²⁵⁄₇₂=125/360.</p>
<p style="text-align:justify">So (144-25)/360=19/360. So the distance to go is 3¹⁹⁄₃₆₀ km.</p>Word Problem Answershttps://mathhomeworkanswers.org/258103/kilometer-mountain-kilometers-kilometers-kilometers-mountain?show=258108#a258108Tue, 19 Feb 2019 15:47:52 +0000Answered: -6(2x+5)=-78
https://mathhomeworkanswers.org/258081/6-2x-5-78?show=258091#a258091
<p style="text-align: justify;">Multiply through by -1: 6(2x+5)=78.</p>
<p style="text-align: justify;">Divide through by 6: 2x+5=13.</p>
<p style="text-align: justify;">Subtract 5 from each side: 2x=8.</p>
<p style="text-align: justify;">Divide through by 2: x=4.</p>
<p style="text-align: justify;"> </p>https://mathhomeworkanswers.org/258081/6-2x-5-78?show=258091#a258091Tue, 19 Feb 2019 09:29:47 +0000Answered: x-intercept=7; y-intercept=-1
https://mathhomeworkanswers.org/258079/x-intercept-7-y-intercept-1?show=258090#a258090
<p style="text-align: justify;">The coords of the x-intercept are (7,0) and of the y-intercept are (0,-1).</p>
<p style="text-align: justify;">The slope of the line is (-1-0)/(0-7)=1/7, so the slope-intercept equation is:</p>
<p style="text-align: justify;">y-(-1)=(1/7)(x-0), y+1=x/7, y=x/7-1.</p>
<p style="text-align: justify;">We get the same answer if we plug in (7,0):</p>
<p style="text-align: justify;">y=(1/7)(x-7)=x/7-1.</p>
<p style="text-align: justify;"> </p>Algebra 1 Answershttps://mathhomeworkanswers.org/258079/x-intercept-7-y-intercept-1?show=258090#a258090Tue, 19 Feb 2019 09:24:49 +0000