Math Homework Answers - Recent questions and answers
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expand and simplify the bracketsAlgebra 2 Answershttps://www.mathhomeworkanswers.org/256443/x-9-x-7Sat, 15 Dec 2018 12:52:18 +0000Answered: The difference between two numbers is 83 . Six times the smaller is equal to 2 2 more than the larger. What are the numbers
https://www.mathhomeworkanswers.org/256427/difference-between-numbers-times-smaller-equal-larger-numbers?show=256433#a256433
<p style="text-align: justify;">If one number is x, the other is x+83. Also 6x=x+83+2, so 6x=x+85 and 5x=85, making x=17.</p>
<p style="text-align: justify;">The numbers are 17 and 100.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/256427/difference-between-numbers-times-smaller-equal-larger-numbers?show=256433#a256433Sat, 15 Dec 2018 08:46:18 +0000Answered: find the area of the parallelogram. A(1,1,3) B(−7,6,11) C(−5,9,4) D(3,4,−4)
https://www.mathhomeworkanswers.org/79387/find-the-area-of-the-parallelogram-a-1-1-3-b-%E2%88%927-6-11-c-%E2%88%925-9-4-d-3-4-%E2%88%924?show=256426#a256426
<p style="text-align:justify">Let a=AB=CD=√((-7-1)²+(6-1)²+(11-3)²)=</p>
<p style="text-align:justify">√((3-(-5))²+(4-9)²+(-4-4)²)=</p>
<p style="text-align:justify">√(8²+5²+8²)=√153=3√17. </p>
<p style="text-align:justify">Let b=BC=AD=√((-5-(-7))²+(9-6)²+(4-11)²=</p>
<p style="text-align:justify">√((3-1)²+(4-1)²+(-4-3)²)=</p>
<p style="text-align:justify">√(4+9+49)=√62.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=16645180311224968262" style="height:217px; width:400px"></p>
<p style="text-align:justify">a and b are the lengths of two sides of the parallelogram. The area of the parallelogram is absinθ where θ is the angle between the two sides.</p>
<p style="text-align:justify">The dot product of vectors AB and BC=(1)(-7)+(1)(6)+(3)(11)=</p>
<p style="text-align:justify">-7+6+33=32=abcosθ. </p>
<p style="text-align:justify">So (abcosθ)²=1024. (abcosθ)²+(absinθ)²=(ab)²=153×62=9486.</p>
<p style="text-align:justify">(absinθ)²=9486-1024=8462. Therefore the area of the parallelogram is √8462=91.9891 sq units approx.</p>
<p style="text-align:justify"> </p>Calculus Answershttps://www.mathhomeworkanswers.org/79387/find-the-area-of-the-parallelogram-a-1-1-3-b-%E2%88%927-6-11-c-%E2%88%925-9-4-d-3-4-%E2%88%924?show=256426#a256426Fri, 14 Dec 2018 17:08:36 +0000Answered: the larger of 2 numbers is twice the smaller if the difference of the 2 number is 36.
https://www.mathhomeworkanswers.org/256407/the-larger-numbers-twice-the-smaller-difference-the-number?show=256420#a256420
<p style="text-align:justify">If the difference between the two numbers is 36 and one is twice the other then the other number must be 36, because twice a number less that number itself gives us the number. 72 and 36 are the two numbers.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/256407/the-larger-numbers-twice-the-smaller-difference-the-number?show=256420#a256420Fri, 14 Dec 2018 10:46:02 +0000Answered: x+2y−z=3 −2x−y+z=−1 6x−3y−z=−7
https://www.mathhomeworkanswers.org/256404/x-2y%E2%88%92z-3-%E2%88%922x%E2%88%92y-z-%E2%88%921-6x%E2%88%923y%E2%88%92z-%E2%88%927?show=256417#a256417
<p style="text-align:justify">Add first two equations:</p>
<p style="text-align:justify">-x+y=2 so y=x+2.</p>
<p style="text-align:justify">Substitute for y:</p>
<p style="text-align:justify">x+2(x+2)-z=3, 3x+4-z=3, 3x-z=-1; -2x-(x+2)+z=-1, -3x-2+z=-1, -3x+z=1, or 3x-z=-1; 6x-3(x+2)-z=-7, 3x-6-z=-7, 3x-z=-1, or z=3x+1.</p>
<p style="text-align:justify">So there is no unique solution, that is, there are many solutions.</p>
<p style="text-align:justify">We can find y and z given x. For example, x=0 gives us y=2 and z=1.</p>
<p style="text-align:justify">Other examples: x=1 gives y=3 and z=4; x=-1 gives y=1 and z=-2.</p>
<p style="text-align:justify">There are an infinite number of solutions. Any x will give solutions for y and z: y=x+2, z=3x+1, which can be written (x,x+2,3x+1).</p>
<p style="text-align:justify"> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256404/x-2y%E2%88%92z-3-%E2%88%922x%E2%88%92y-z-%E2%88%921-6x%E2%88%923y%E2%88%92z-%E2%88%927?show=256417#a256417Fri, 14 Dec 2018 09:29:41 +0000Answered: An exercise mat is 3.3 times as long as it is wide. Write expressions that represent the perimeter and the area of the exercise mat. Use the variable w to represent the width of the mat.
https://www.mathhomeworkanswers.org/256405/exercise-expressions-represent-perimeter-exercise-represent?show=256414#a256414
<p style="text-align: justify;">Perimeter=2(3.3w+w)=2×4.3w=8.6w.</p>
<p style="text-align: justify;">Area=3.3w²</p>Pre-Algebra Answershttps://www.mathhomeworkanswers.org/256405/exercise-expressions-represent-perimeter-exercise-represent?show=256414#a256414Fri, 14 Dec 2018 08:57:37 +0000Answered: write an equation that passes through (3, 2) and has a slope of -2
https://www.mathhomeworkanswers.org/256406/write-an-equation-that-passes-through-3-2-and-has-a-slope-of-2?show=256413#a256413
<p style="text-align: justify;">y-2=-2(x-3), y=-2x+6+2, y=-2x+8</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/256406/write-an-equation-that-passes-through-3-2-and-has-a-slope-of-2?show=256413#a256413Fri, 14 Dec 2018 08:47:01 +0000Answered: show that the points a (3,4) b(3,1) and c (8,4) are vertices of a right angle triangle. Find the length of the perpendicular from A to BC
https://www.mathhomeworkanswers.org/256402/points-vertices-right-angle-triangle-length-perpendicular?show=256403#a256403
<p style="text-align:justify">A and B have the same x coord, so AB is vertical. AB has length 4-1=3.</p>
<p style="text-align:justify">A and C have the same y coord, so AC is horizontal. AC has length 8-3=5 and A is the right angle. ABC is a right triangle.</p>
<p>Let the perpendicular be AP where P is on BC.</p>
<p style="text-align:justify">We have 3 similar triangles: ABC, PBA, and PAC, because A and P are right angles, ∠ABP=∠BCA, ∠ABP=∠PAC.</p>
<p style="text-align:justify">Let θ=∠C then tanθ=AB/AC=3/5. From Pythagoras’ Theorem, BC=√(AB²+AC²)=√(3²+5²)=√34 and cosθ=AC/BC=5/√34.</p>
<p style="text-align:justify">AP=ABcosθ=ACsinθ=15/√34=2.5725 approx.</p>
<p><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=2423183284459524258" style="height:213px; width:400px"></p>
<p style="text-align:justify">You don’t need to use trigonometry to solve this, you can just use the side ratios: 3/5 in place of tanθ, 3/√34 in place of sinθ, and 5√34 in place of cosθ, and apply the rules for similar triangles.</p>Geometry Answershttps://www.mathhomeworkanswers.org/256402/points-vertices-right-angle-triangle-length-perpendicular?show=256403#a256403Thu, 13 Dec 2018 14:08:21 +0000Answered: -2/3x-8 is less than or equal to 10 answer plz
https://www.mathhomeworkanswers.org/247065/2-3x-8-is-less-than-or-equal-to-10-answer-plz?show=256399#a256399
<p style="text-align: justify;">-⅔x-8≤10</p>
<p style="text-align: justify;">-⅔x≤10+8</p>
<p style="text-align: justify;">-⅔x≤18</p>
<p style="text-align: justify;">-2x≤54</p>
<p style="text-align: justify;">0≤2x+54</p>
<p style="text-align: justify;">2x+54≥0</p>
<p style="text-align: justify;">x+27≥0</p>
<p style="text-align: justify;">x≥-27</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/247065/2-3x-8-is-less-than-or-equal-to-10-answer-plz?show=256399#a256399Thu, 13 Dec 2018 10:30:07 +0000Answered: 10 times 2
https://www.mathhomeworkanswers.org/256383/10-times-2?show=256394#a256394
<p style="text-align:justify">When you multiply a number by 10, you just add a zero on to the end of the number, so 2 becomes 20. This is the same as moving the decimal point one place to the right. So 2.0 (same as 2) becomes 20.0, same as 20.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256383/10-times-2?show=256394#a256394Thu, 13 Dec 2018 08:55:36 +0000Answered: What is the answer to x+5y=8, -x+2y=-1
https://www.mathhomeworkanswers.org/256381/what-is-the-answer-to-x-5y-8-x-2y-1?show=256393#a256393
<p style="text-align: justify;">Add the equations together to eliminate x:</p>
<p style="text-align: justify;">5y+2y=8-1, so 7y=7 and y=1 when we divide both sides by 7.</p>
<p style="text-align: justify;">Now put y=1 into either equation:</p>
<p style="text-align: justify;">-x+2=-1, 2=x-1, 3=x, so x=3 and y=1 is the solution. Check by putting these values into each equation:</p>
<p style="text-align: justify;">3+5=8, true; -3+2=-1, true. So the solution is confirmed to be true.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/256381/what-is-the-answer-to-x-5y-8-x-2y-1?show=256393#a256393Thu, 13 Dec 2018 08:53:21 +0000Answered: Bows cost as much per inch as ribbon. Find 1/100 the chefs total cost for 10 inches of bows.Explain the number of zeros and the placement of the decimal in your answer using a place value chart
https://www.mathhomeworkanswers.org/256384/ribbon-inches-explain-number-placement-decimal-answer-chart?show=256392#a256392
<p style="text-align:justify">We don’t know how much ribbons cost but we can work out where the decimal point goes.</p>
<p style="text-align:justify">We add a zero to the end of the cost of ribbons, that gives us the cost of 10 inches. The decimal point moves one place to the right.</p>
<p style="text-align:justify">We need 1/100 of this, so the decimal point moves two places to the left because 100 has two zeroes.</p>
<p style="text-align:justify">One place to the right plus 2 places to the left gives us one place to the left. Therefore, since the cost of bows and ribbons is the same, the final result is that the decimal point is moved one place to the left of the cost of an inch of ribbon. For example, if the cost of ribbons is 12 cents per inch, which is the same as 12.0 cents, so the final answer is 1.20 cents. Your chart would be like a number line 1-2=-1, where positive is to the right and negative is to the left, so one place to the left.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=2281459618326537926" style="height:158px; width:400px"></p>
<p style="text-align:justify">In this chart I have used XX as the cost of ribbons (and bows) per inch. You can use actual numbers in place of XX to see what happens. When XX moves to the left, the decimal point appears to move to the right, and when XX moves to the right, the decimal point appears to move to the left. Any gaps to the immediate left or right of the decimal point are filled with a zero to show that there is no value in that place. Replace XX with 12 (for example) to see what happens. Then replace XX with 08 (another example where cost is 8c or $0.08) and see what happens.</p>
<p style="text-align:justify"> </p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256384/ribbon-inches-explain-number-placement-decimal-answer-chart?show=256392#a256392Thu, 13 Dec 2018 08:41:15 +0000Answered: n, when a1 = 314, an = 67, and d = -19;
https://www.mathhomeworkanswers.org/256385/n-when-a1-314-an-67-and-d-19?show=256390#a256390
<p style="text-align: justify;">a[n]=a₁+(n-1)d=314-19(n-1)=67.</p>
<p style="text-align: justify;">314-67=19n-19, 247=19n-19, 266=19n, 14=n, so answer is n=14.</p>Calculus Answershttps://www.mathhomeworkanswers.org/256385/n-when-a1-314-an-67-and-d-19?show=256390#a256390Thu, 13 Dec 2018 08:19:26 +0000Answered: Use the graph below to determine the right-hand limit of the function f(x) at: (a) x=-2 (b) x=10
https://www.mathhomeworkanswers.org/253232/use-the-graph-below-determine-right-hand-limit-the-function?show=256382#a256382
<p><img alt="here is the graph" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=15073223826334669901" style="height:246px; width:406px"></p>
<p>Here is the the graph for that question</p>Calculus Answershttps://www.mathhomeworkanswers.org/253232/use-the-graph-below-determine-right-hand-limit-the-function?show=256382#a256382Thu, 13 Dec 2018 03:25:35 +0000Answered: Evaluate. 52
https://www.mathhomeworkanswers.org/256376/evaluate-52?show=256379#a256379
<p style="text-align: justify;">5²=5×5=25.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/256376/evaluate-52?show=256379#a256379Wed, 12 Dec 2018 19:41:16 +0000Answered: Find the distance between (7,9) and (1,1).
https://www.mathhomeworkanswers.org/256377/find-the-distance-between-7-9-and-1-1?show=256378#a256378
<p style="text-align:justify">Use Pythagoras:</p>
<p style="text-align:justify">√((7-1)²+(9-1)²)=√(36+64)=√100=10 units.</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=11725389078215542565" style="height:428px; width:350px"></p>Word Problem Answershttps://www.mathhomeworkanswers.org/256377/find-the-distance-between-7-9-and-1-1?show=256378#a256378Wed, 12 Dec 2018 19:35:28 +0000Answered: F(p)=1.5p,evaluate f(20)
https://www.mathhomeworkanswers.org/256359/f-p-1-5p-evaluate-f-20?show=256367#a256367
f(20)=1.5×20=30.Algebra 1 Answershttps://www.mathhomeworkanswers.org/256359/f-p-1-5p-evaluate-f-20?show=256367#a256367Wed, 12 Dec 2018 09:41:00 +0000Answered: What does x equal if (3x-28)=(2x+33)
https://www.mathhomeworkanswers.org/256356/what-does-x-equal-if-3x-28-2x-33?show=256357#a256357
3x - 2x = 1x<br />
<br />
28 + 33 = 61<br />
<br />
1x = 61<br />
<br />
1/61 = 61<br />
<br />
Answer: x = 61Algebra 1 Answershttps://www.mathhomeworkanswers.org/256356/what-does-x-equal-if-3x-28-2x-33?show=256357#a256357Wed, 12 Dec 2018 00:52:06 +0000Answered: 2+2+2+2+2+2+2+2+2+2+2+2+2+2-2+2 x 0 ?
https://www.mathhomeworkanswers.org/4907/2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-x-0?show=256354#a256354
boi 0order of operationshttps://www.mathhomeworkanswers.org/4907/2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-x-0?show=256354#a256354Tue, 11 Dec 2018 22:17:00 +0000Answered: how to represent 7/3 on a number line
https://www.mathhomeworkanswers.org/36446/how-to-represent-7-3-on-a-number-line?show=256353#a256353
i really dont know im sorry :0Algebra 1 Answershttps://www.mathhomeworkanswers.org/36446/how-to-represent-7-3-on-a-number-line?show=256353#a256353Tue, 11 Dec 2018 21:20:02 +0000Answered: 4 plus 16 divided by 4 times 4 equals 5
https://www.mathhomeworkanswers.org/247855/4-plus-16-divided-by-4-times-4-equals-5?show=256352#a256352
4+16 devided by 4*4=5Other Math Topicshttps://www.mathhomeworkanswers.org/247855/4-plus-16-divided-by-4-times-4-equals-5?show=256352#a256352Tue, 11 Dec 2018 17:23:12 +0000Answered: Mrs. Tatum needs to share 4 fluid ounces of red paint equally among 5 art students. How much red paint does each student get?
https://www.mathhomeworkanswers.org/255768/needs-share-fluid-ounces-equally-among-students-paint-student?show=256351#a256351
4/5 is your answer.Word Problem Answershttps://www.mathhomeworkanswers.org/255768/needs-share-fluid-ounces-equally-among-students-paint-student?show=256351#a256351Tue, 11 Dec 2018 17:19:00 +0000Answered: use the number 913,256. write the name of the period that has the digits 913.
https://www.mathhomeworkanswers.org/36946/use-the-number-913-256-write-the-name-the-period-that-has-digits?show=256350#a256350
nine hundred thirteen thousand is the correct answer for your questionsPre-Algebra Answershttps://www.mathhomeworkanswers.org/36946/use-the-number-913-256-write-the-name-the-period-that-has-digits?show=256350#a256350Tue, 11 Dec 2018 17:17:16 +0000Answered: how do you calculate the height of an equilateral triangle
https://www.mathhomeworkanswers.org/19882/how-do-you-calculate-the-height-of-an-equilateral-triangle?show=256349#a256349
<p><span style="font-size:11px">20 is your answer</span></p>Pre-Algebra Answershttps://www.mathhomeworkanswers.org/19882/how-do-you-calculate-the-height-of-an-equilateral-triangle?show=256349#a256349Tue, 11 Dec 2018 17:09:57 +0000Answered: 42 divided by 6
https://www.mathhomeworkanswers.org/256247/42-divided-by-6?show=256348#a256348
1.7<br />
<br />
2.6order of operationshttps://www.mathhomeworkanswers.org/256247/42-divided-by-6?show=256348#a256348Tue, 11 Dec 2018 17:08:58 +0000Answered: 19/25 * y/y=57/75
https://www.mathhomeworkanswers.org/79071/19-25-y-y-57-75?show=256347#a256347
<p style="text-align:justify">y/y=3/3. This means that 57/75 cancels down, or can be reduced to, 19/25 because the numerator and denominator have a common factor 3 (3/3=1). The two fractions are identical.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/79071/19-25-y-y-57-75?show=256347#a256347Tue, 11 Dec 2018 16:49:59 +0000Answered: solve the expression:[(3.2)^2-(-4)^3] [(75/15) -(-10 + 15)] + (-19/3)
https://www.mathhomeworkanswers.org/22024/solve-the-expression-3-2-2-4-3-75-15-10-15-19-3?show=256346#a256346
<p style="text-align: justify;">The square brackets are just to make it easier to read, so that you can match open and closed brackets (parentheses). (75/15)=5 and (-10+15)=5, and 5-5=0. Any product with zero as one of the multipliers is zero. So we don’t need to work out the contents of the first pair of square brackets. In this problem [ ... ][ ... ] means: find the product of the contents of the first pair of brackets and the contents of the second pair (which came to zero). So we’re left with 0-(19/3)=-19/3.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/22024/solve-the-expression-3-2-2-4-3-75-15-10-15-19-3?show=256346#a256346Tue, 11 Dec 2018 16:46:59 +0000Answered: Find the interest on $15,000 at 17% for 2 1.2 years
https://www.mathhomeworkanswers.org/256321/find-the-interest-on-%2415-000-at-17%25-for-2-1-2-years?show=256345#a256345
$6375.00 is what you should get for this problem of interestWord Problem Answershttps://www.mathhomeworkanswers.org/256321/find-the-interest-on-%2415-000-at-17%25-for-2-1-2-years?show=256345#a256345Tue, 11 Dec 2018 15:02:29 +0000Answered: what is the value of the expression? 15.50+(-17.75)
https://www.mathhomeworkanswers.org/256324/what-is-the-value-of-the-expression-15-50-17-75?show=256326#a256326
<p style="text-align: justify;">This is the same as 15.50-17.75=-2.25.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/256324/what-is-the-value-of-the-expression-15-50-17-75?show=256326#a256326Mon, 10 Dec 2018 23:09:37 +0000Answered: there are 7 gray kittens. 2 kittens are black. how many fewer black kittens are there than gray kittens?
https://www.mathhomeworkanswers.org/4428/there-kittens-kittens-black-fewer-black-kittens-there-kittens?show=256325#a256325
Definitivamente estoy de acuerdo con Tara boscherini.Word Problem Answershttps://www.mathhomeworkanswers.org/4428/there-kittens-kittens-black-fewer-black-kittens-there-kittens?show=256325#a256325Mon, 10 Dec 2018 23:09:09 +0000Answered: what is 5/8 of 2/5
https://www.mathhomeworkanswers.org/42440/what-is-5-8-of-2-5?show=256322#a256322
The answer is 1/4.Word Problem Answershttps://www.mathhomeworkanswers.org/42440/what-is-5-8-of-2-5?show=256322#a256322Mon, 10 Dec 2018 21:47:31 +0000Answered: If I make 28.00 dollars an hour and I get a 1.7% pay raise
https://www.mathhomeworkanswers.org/256299/if-i-make-28-00-dollars-an-hour-and-i-get-a-1-7%25-pay-raise?show=256300#a256300
<p style="text-align: justify;">The increase is 0.017×28=$0.476 per hour, that is 47.6c, which rounds to 48c, making $28.48 per hour. </p>Word Problem Answershttps://www.mathhomeworkanswers.org/256299/if-i-make-28-00-dollars-an-hour-and-i-get-a-1-7%25-pay-raise?show=256300#a256300Sun, 09 Dec 2018 17:40:04 +0000Answered: how many solutions are there
https://www.mathhomeworkanswers.org/256273/how-many-solutions-are-there?show=256288#a256288
<p style="text-align:justify">Usually with a system of three linear equations and 3 variables, there will be one solution. But sometimes there are inconsistencies in the equations and no solutions are possible. Sometimes two of the three equations, or all of them, are effectively the same and then there will be many solutions. All that can be found is a relationship between the variables.</p>
<p style="text-align:justify">For a non-linear system, there can be a finite number of solutions for three variables. For example, if a quadratic equation is involved, one variable may have two possible solutions. This may affect the number of solutions for the other variables.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/256273/how-many-solutions-are-there?show=256288#a256288Sat, 08 Dec 2018 10:05:00 +0000Answered: 1.7097=1.6944(1+0.018/1+x) solving for x
https://www.mathhomeworkanswers.org/256275/1-7097-1-6944-1-0-018-1-x-solving-for-x?show=256287#a256287
<p style="text-align:justify">Divide through by 1.6944:</p>
<p style="text-align:justify">1.7097/1.6944=1+(0.018/(1+x)) or it could be 1.018/(1+x).</p>
<p style="text-align:justify">That gives us approx:</p>
<p style="text-align:justify">1.00903=1+(0.018/(1+x)) or 1.018/(1+x),</p>
<p style="text-align:justify">so 0.018/(1+x)=0.00903 or 1.018/(1+x)=1.00903.</p>
<p style="text-align:justify">This can be written:</p>
<p style="text-align:justify">1+x=0.018/0.00903, x=(0.018/0.00903)-1=0.9934 approx or</p>
<p style="text-align:justify">1+x=1.018/1.00903, x=(1.018/1.00903)-1=0.00889 approx.</p>
<p style="text-align:justify">My guess is that x=1 approximately, from the first interpretation. Let’s see what happens if we put x=1 into the original:</p>
<p style="text-align:justify">1.7097=1.6944(1+0.018/2)=1.6944×1.009=1.7096496 which rounds up to 1.70965 which rounds up to 1.7097. So it looks like the first interpretation is the right one, and x=1.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/256275/1-7097-1-6944-1-0-018-1-x-solving-for-x?show=256287#a256287Sat, 08 Dec 2018 09:51:52 +0000Answered: Show that its volume, V= (1/3) x^2 h pi units^3, is a maximum when h = √(2) x.
https://www.mathhomeworkanswers.org/256268/show-that-its-volume-v-1-3-x-2-h-pi-units-3-is-a-maximum-when-h-%E2%88%9A-2-x?show=256272#a256272
<p style="text-align:justify">Let y²=x²+h². S=πxy. Let k=S/π, so xy=k (a constant) and y=k/x (inverse proportionality). y is actually the slant length of the cone.</p>
<p style="text-align:justify">V=(π/3)x²√(y²-x²)=(π/3)x√(k²-x⁴).</p>
<p style="text-align:justify">dV/dx=(π/3)(-2x⁴/√(k²-x⁴)+√(k²-x⁴))=0 at a turning point.</p>
<p style="text-align:justify">Therefore, -2x⁴+k²-x⁴=0, x⁴=k²/3, x²=k/√3, y²=k√3. (Since x is the radius of the cone, it must be positive so we can reject the negative root of k/√3.)</p>
<p style="text-align:justify">h²=y²-x²=k√3-k/√3=k√3-k√3/3=⅔k√3.</p>
<p style="text-align:justify">h²/x²=⅔(3)=2 so h²=2x², h=x√2 QED</p>
<p style="text-align:justify"><img alt="" src="https://www.mathhomeworkanswers.org/?qa=blob&qa_blobid=13290665062416971456" style="height:656px; width:500px"></p>
<p style="text-align:justify">The picture shows an example of V against x, where the maximum and minimum can be seen, with the maximum when x is positive. The negative part of the curve (negative V or x) has no meaning in the context of the question.</p>Calculus Answershttps://www.mathhomeworkanswers.org/256268/show-that-its-volume-v-1-3-x-2-h-pi-units-3-is-a-maximum-when-h-%E2%88%9A-2-x?show=256272#a256272Fri, 07 Dec 2018 19:02:33 +0000Answered: What is my monthly interest on a $228.75 balance with a 19.92 percent interest rate
https://www.mathhomeworkanswers.org/256270/what-monthly-interest-%24228-balance-with-percent-interest-rate?show=256271#a256271
<p style="text-align: justify;">19.92% per annum is 19.92/12%=1.66% per month.</p>
<p style="text-align: justify;">Interest on $228.75 after one month is 228.75×0.0166=$3.80 approx.</p>Word Problem Answershttps://www.mathhomeworkanswers.org/256270/what-monthly-interest-%24228-balance-with-percent-interest-rate?show=256271#a256271Fri, 07 Dec 2018 16:08:04 +0000Answered: A rectangular flower bed has a width of x feet and a perimeter of 104 feet. Find x such that the area of the rectangle is maximum
https://www.mathhomeworkanswers.org/256254/rectangular-flower-width-perimeter-such-rectangle-maximum?show=256260#a256260
<p style="text-align:justify">The maximum area is when the rectangle is a square.</p>
<p style="text-align:justify">If x is the side of the square, then its perimeter is 4x and width=length=x. So 4x=104 and x=104/4=26 feet.</p>
<p style="text-align:justify">(To prove that the maximum area is when the rectangle is a square we start with a square of area x². Then we shorten the width and increase the length by an amount h. Width=x-h and length=x+h. Width+length remains unchanged at 2x, so that means the perimeter, 4x, is also unchanged. The new area is (x+h)(x-h)=x²-h². The maximum value for this expression is x², when h=0. So length=width=x, a square.)</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/256254/rectangular-flower-width-perimeter-such-rectangle-maximum?show=256260#a256260Fri, 07 Dec 2018 08:26:00 +0000Answered: How many seconds are in a year?
https://www.mathhomeworkanswers.org/256253/how-many-seconds-are-in-a-year?show=256259#a256259
<p style="text-align: justify;">Seconds in a day: 60×60×24=86400.</p>
<p style="text-align: justify;">Seconds in 365 day: 365×864001 31536000. Seconds in 366 days: 31536000+86400=31622400.</p>Other Math Topicshttps://www.mathhomeworkanswers.org/256253/how-many-seconds-are-in-a-year?show=256259#a256259Fri, 07 Dec 2018 08:22:11 +0000Answered: what is the y intercept of the equation y=8.5X
https://www.mathhomeworkanswers.org/256246/what-is-the-y-intercept-of-the-equation-y-8-5x?show=256249#a256249
<p style="text-align:justify">The y intercept is the constant b. Since there isn’t one, the y intercept is 0. The line passes through the origin.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/256246/what-is-the-y-intercept-of-the-equation-y-8-5x?show=256249#a256249Fri, 07 Dec 2018 00:14:18 +0000Answered: Third degree, with zeros of -3,-1 and 2 and passes through the point (3,11)
https://www.mathhomeworkanswers.org/256245/third-degree-with-zeros-of-and-and-passes-through-the-point-11?show=256248#a256248
<p style="text-align: justify;">y=a(x+3)(x+1)(x-2)=a(x+3)(x²-x-2)=a(x³-x²-2x+3x²-3x-6),</p>
<p style="text-align: justify;">y=a(x³+2x²-5x-6).</p>
<p style="text-align: justify;">When y=11, x=3, so 11=a(27+18-15-6)=24a. So a=11/24 and y=(11/24)(x³+2x²-5x-6).</p>
<p style="text-align: justify;">This can be written: y=11x³/24+11x²/12-55x/24-11/4.</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/256245/third-degree-with-zeros-of-and-and-passes-through-the-point-11?show=256248#a256248Fri, 07 Dec 2018 00:13:04 +0000Answered: 2(3x+4) -3 (4x-5)
https://www.mathhomeworkanswers.org/256241/2-3x-4-3-4x-5?show=256244#a256244
<p style="text-align: justify;">The expression simplifies:</p>
<p style="text-align: justify;">6x+8-12x+15=-6x+23</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/256241/2-3x-4-3-4x-5?show=256244#a256244Thu, 06 Dec 2018 18:59:12 +0000Answered: How many levels needed for a building if the 1st
https://www.mathhomeworkanswers.org/251386/how-many-levels-needed-for-a-building-if-the-1st?show=256242#a256242
this is an incompleted question! respond a COMPLETE questionAlgebra 1 Answershttps://www.mathhomeworkanswers.org/251386/how-many-levels-needed-for-a-building-if-the-1st?show=256242#a256242Thu, 06 Dec 2018 17:41:21 +0000Answered: 7 less than the product of 3 and x is equal to x increased by 15"
https://www.mathhomeworkanswers.org/73156/7-less-than-the-product-of-3-and-x-is-equal-to-x-increased-by-15?show=256235#a256235
<p><a rel="nofollow" href="https://www.mathhomeworkanswers.org/73156/7-less-than-the-product-of-3-and-x-is-equal-to-x-increased-by-15" style="box-sizing: border-box; background-color: transparent; color: rgb(51, 122, 183); text-decoration-line: none;">7 less than the product of 3 and x</a> means (3x-7) ......... i
<br>
x increased by 15 means (x+15) .............. ii</p>
<p>i = ii (given)
<br>
3x-7 = x+15
<br>
3x-7-x+7 = x+15-x+7 ......(adding -x+7 on both sides)
<br>
2x = 15+7 ...... (simplifying the above equation)
<br>
2x = 22
<br>
2x/2 = 22/2 .....(dividing both sides by 2)
<br>
x = 11 Answer</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/73156/7-less-than-the-product-of-3-and-x-is-equal-to-x-increased-by-15?show=256235#a256235Thu, 06 Dec 2018 13:04:08 +0000Answered: The product of my number and 3 increased by 7 is 22 what is my number please help
https://www.mathhomeworkanswers.org/87083/the-product-number-and-increased-by-what-number-please-help?show=256233#a256233
my number is 'x'<br />
<br />
The product of my number and 3 is 3x;<br />
Added to this is 7, which equals to 22, can be written as under:<br />
<br />
3x+7 = 22<br />
3x+7-7 = 22-7<br />
3x = 15<br />
3x/3 = 15/3<br />
x = 5order of operationshttps://www.mathhomeworkanswers.org/87083/the-product-number-and-increased-by-what-number-please-help?show=256233#a256233Thu, 06 Dec 2018 10:43:20 +0000Answered: the quotient of a number increased by 13 and -7 is -4
https://www.mathhomeworkanswers.org/256218/the-quotient-of-a-number-increased-by-13-and-7-is-4?show=256232#a256232
<p style="text-align:justify">I’m guessing that you mean if a/b is the original quotient, where a and b are whole numbers, then:</p>
<p style="text-align:justify">(a+13)/(b-7)=-4.</p>
<p style="text-align:justify">So a+13=-4(b-7)=-4b+28, therefore a+4b=28-13=15. The table below shows some possible values for a and b:</p>
<table border="1" cellpadding="1" cellspacing="1" style="width:500px">
<tbody>
<tr>
<td>a</td>
<td>b</td>
<td>a+13</td>
<td>b-7</td>
<td>(a+13)/(b-7)</td>
<td>a/b</td>
</tr>
<tr>
<td>11</td>
<td>1</td>
<td>24</td>
<td>-6</td>
<td>24/-6=-4</td>
<td>11/1</td>
</tr>
<tr>
<td><strong>7</strong></td>
<td><strong>2</strong></td>
<td><strong>20</strong></td>
<td>-<strong>5</strong></td>
<td><strong>20/-5=-4</strong></td>
<td><strong>7/2</strong></td>
</tr>
<tr>
<td>3</td>
<td>3</td>
<td>16</td>
<td>-4</td>
<td>16/-4=-4</td>
<td>3/3</td>
</tr>
</tbody>
</table>
<p style="text-align: justify;">We can also have negative values for b, e.g., b=-2, a=23, (a+13)/(b-7)=36/-9=-4, a/b=23/-2.</p>
<p style="text-align: justify;">I think perhaps the answer you’re looking for is 7/2.</p>order of operationshttps://www.mathhomeworkanswers.org/256218/the-quotient-of-a-number-increased-by-13-and-7-is-4?show=256232#a256232Thu, 06 Dec 2018 10:42:00 +0000Answered: At which values of x is the function from the graph shown continuous?
https://www.mathhomeworkanswers.org/256219/at-which-values-the-function-from-the-graph-shown-continuous?show=256227#a256227
<p style="text-align:justify">Continuous for x<-4, -4<x<2, 2<x<4, x>4. Strictly, we cannot tell what happens for all x<-4 or x>4, because the piecewise graph doesn’t show it, but only implies it. So -4<x<2, 2<x<4 seems to be the surest answer. This includes continuity at x=-1.</p>Calculus Answershttps://www.mathhomeworkanswers.org/256219/at-which-values-the-function-from-the-graph-shown-continuous?show=256227#a256227Thu, 06 Dec 2018 08:37:02 +0000Answered: Kate cut a 100 foot rope into two pieces one piece was 5 feet longer than the other.Find the length of each piece.
https://www.mathhomeworkanswers.org/256220/kate-pieces-piece-feet-longer-than-other-find-length-each-piece?show=256226#a256226
<p style="text-align:justify">If one piece is 5 ft longer than the other, we subtract 5 from 100 and get 95 feet. This is twice the length of the shorter piece so its length must be half of 95=47½ feet, and the longer piece is 52½ feet.</p>
<p style="text-align:justify">We can do this by algebra: let x be the length of the shorter piece, then x+5 is the length of the other, so their combined lengths are x+x+5=100, 2x+5=100, 2x=95, x=47½ and x+5=52½ feet.</p>Algebra 1 Answershttps://www.mathhomeworkanswers.org/256220/kate-pieces-piece-feet-longer-than-other-find-length-each-piece?show=256226#a256226Thu, 06 Dec 2018 08:26:43 +0000Answered: 3.541 41 repeating as a fraction
https://www.mathhomeworkanswers.org/254362/3-541-41-repeating-as-a-fraction?show=256217#a256217
69/420 simplifiedFraction Problemshttps://www.mathhomeworkanswers.org/254362/3-541-41-repeating-as-a-fraction?show=256217#a256217Thu, 06 Dec 2018 00:02:19 +0000The distance from one side of a ride at the carnival is 13.6 ft. What is the exact distance around the ride
https://www.mathhomeworkanswers.org/256198/distance-from-side-carnival-what-exact-distance-around-ride
The distance from one side of a ride at the carnival is 13.6 ft. What is the exact distance around the rideOther Math Topicshttps://www.mathhomeworkanswers.org/256198/distance-from-side-carnival-what-exact-distance-around-rideWed, 05 Dec 2018 06:02:23 +0000The chord DE passes through the point (-3/2,3) and is perpendicular to OC where O is the origin and C (-4,2). Find the coordinates of D and E
https://www.mathhomeworkanswers.org/256197/chord-passes-through-perpendicular-where-origin-coordinates
It is a circle questionGeometry Answershttps://www.mathhomeworkanswers.org/256197/chord-passes-through-perpendicular-where-origin-coordinatesWed, 05 Dec 2018 00:23:32 +0000