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# Recent problems solved by 'Alan3354'

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 Volume/471496: What is the cubic volume of a pipe 8 in. in dia.that is 62 ft long1 solutions Answer 323368 by Alan3354(30993)   on 2011-07-18 11:52:01 (Show Source): You can put this solution on YOUR website!What is the cubic volume of a pipe 8 in. in dia.that is 62 ft long ------------ It's volume, not "cubic volume." For a cylinder, cubic inches V =~ 37397.52 cubic inches
 Travel_Word_Problems/471478: stanley drives m miles in x hours. How many hours would he save if he drove the same distance in k miles per hour?1 solutions Answer 323359 by Alan3354(30993)   on 2011-07-18 11:14:56 (Show Source): You can put this solution on YOUR website!d = rt t = d/r --------- difference = x - m/k (in hours)
 Square-cubic-other-roots/471475: what is the square root of 64 by 401 solutions Answer 323356 by Alan3354(30993)   on 2011-07-18 11:05:25 (Show Source): You can put this solution on YOUR website!sqrt(64) = -8 or +8 ------------ I don't know what "by 40" means.
 Complex_Numbers/471476: write the quotient in standard form 8+4i ____ 3-5i or 8+4i/3-5i1 solutions Answer 323353 by Alan3354(30993)   on 2011-07-18 11:02:18 (Show Source): You can put this solution on YOUR website!(8+4i)/(3-5i) ----------- Multiply NUM and DEN by the conjugate of the DEN, 3 + 5i -------- = (8+4i*)*(3+5i)/(3-5i)*(3+5i) = (24 - 20 + 52i)/(9 + 25) = (4 + 52i)/34 = (2 + 26i)/17
 Equations/471275: please can someone help me. Thank You so much. Solve -6(3x – 1) = 2(3 – 7x) – 4x. Please show all of your work.1 solutions Answer 323288 by Alan3354(30993)   on 2011-07-17 22:55:41 (Show Source): You can put this solution on YOUR website!-6(3x – 1) = 2(3 – 7x) – 4x -18x + 6 = 6 - 14x - 4x -18x = -18x No unique solution, x can be any number.
 Evaluation_Word_Problems/471386: Q)it is desired to extract the maximum power of 3 from 24! where n!= n.(n-1). (n-2)....321. What will be the exponent of 3? (a)8 (b) 9 (c)11 (d) 10 1 solutions Answer 323286 by Alan3354(30993)   on 2011-07-17 22:51:25 (Show Source): You can put this solution on YOUR website!If you mean from 24!, it's 10.
 Polynomials-and-rational-expressions/471349: Factor the polynomial x^2-5x+6. Write each factor as a polynomial in descending order.1 solutions Answer 323271 by Alan3354(30993)   on 2011-07-17 21:16:42 (Show Source): You can put this solution on YOUR website!= (x-2)*(x-3)
 Numbers_Word_Problems/471354: The sum of a number and its square is 12. Find the numbers1 solutions Answer 323270 by Alan3354(30993)   on 2011-07-17 21:15:32 (Show Source):
 Quadratic_Equations/471274: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0 Solution: 7, only solution1 solutions Answer 323264 by Alan3354(30993)   on 2011-07-17 20:37:40 (Show Source): You can put this solution on YOUR website!(x-7)^2 = 0
 Triangles/471325: How do you find a triangle on a coordinate plane? Is it as simple as using Pythagorean or no?1 solutions Answer 323263 by Alan3354(30993)   on 2011-07-17 20:35:49 (Show Source): You can put this solution on YOUR website!What do you mean by "find" it?
 Quadratic_Equations/471328: three years ago, a father was four times as old as his daughter is now.the product of their ages is 430.calculate th present age of the daughter and the father 1 solutions Answer 323262 by Alan3354(30993)   on 2011-07-17 20:35:05 (Show Source): You can put this solution on YOUR website!430 doesn't have a lot of factors, = 10*43 10 & 43 is the answer.
 Quadratic_Equations/471340: -10y^3+25y^2+30y^4=0 need to figure out what y equals....tried rewriting the problem as 5y^2(6y^2-2y+5)...can not figure out how to factor it all the way to 0 and get what y equals. please help1 solutions Answer 323261 by Alan3354(30993)   on 2011-07-17 20:33:34 (Show Source): You can put this solution on YOUR website!duplicate
 Graphs/471318: the graphs of the equations x^2+y^2=4 and y=2 are drawn on the same set of axes. whats the total number of points common to both graphs?1 solutions Answer 323253 by Alan3354(30993)   on 2011-07-17 20:03:01 (Show Source):
 test/471336: How do i change a mixed fraction into a decimal1 solutions Answer 323252 by Alan3354(30993)   on 2011-07-17 20:01:57 (Show Source): You can put this solution on YOUR website!Divide the denominator into the numerator.
 Equations/471264: What's x? 6 − 8x = 18 I get 3 but when I plug it into the equation to check it the answer is -18 not 18.1 solutions Answer 323251 by Alan3354(30993)   on 2011-07-17 19:53:48 (Show Source): You can put this solution on YOUR website!6 − 8x = 18 -8x = 12 x = -1.5
 Travel_Word_Problems/471326: Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 70-meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time?1 solutions Answer 323249 by Alan3354(30993)   on 2011-07-17 19:50:47 (Show Source): You can put this solution on YOUR website!Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 70-meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time? ------------------- The faster runner gains on the slower at 4 m/sec (10-6) 70/4 = 17.5 seconds
 Evaluation_Word_Problems/471307: what is the total number of points of intersection of teh graphs of teh equations x^2+y^2=9 and y=x?1 solutions Answer 323247 by Alan3354(30993)   on 2011-07-17 19:48:57 (Show Source):
 Rectangles/471287: How long would each side of the rectangle be if it measured 15 square feet?1 solutions Answer 323230 by Alan3354(30993)   on 2011-07-17 17:53:18 (Show Source): You can put this solution on YOUR website!It could be 3 by 5, 1 by 15, 2 by 7.5, or any of an infinite number of combinations.
 Equations/471215: Three times a number increased by 4 equals 31. How do I write that in an equation?1 solutions Answer 323202 by Alan3354(30993)   on 2011-07-17 14:36:26 (Show Source): You can put this solution on YOUR website!n = the number Three times it is 3n Increased by 4 is 3n + 4 3n + 4 = 31
 Radicals/471110: Please can someone help? I have no idea where to start, and please show me how u got the answers, thank you. 1. sqrt x^9z^2/18y^5 2. 2 sqrt x-3/sqrt x+5 3. (2^3 sqrt 40+^3 sqrt 48)(6^3 sqrt 4-^3 sqrt 32) 4. (x+4)^3 1 solutions Answer 323194 by Alan3354(30993)   on 2011-07-17 13:10:11 (Show Source): You can put this solution on YOUR website!1. sqrt x^9z^2/18y^5 What terms are under the radical? ------------------ 2. 2 sqrt x-3/sqrt x+5 I think you mean You didn't say what you want to do, I'll guess simplify. = = --------------------- 3. (2^3 sqrt 40+^3 sqrt 48)(6^3 sqrt 4-^3 sqrt 32) I don't know what 40+^3 means, or 4-^3 ------------- 4. (x+4)^3 =
 Volume/471117: what is the difference between the volumes of a cylinder with a radius of 5 centimeters and a height of 15 centimeters, and a square prism with a side that measures 12 centimeters and a height of 8 centimeters?1 solutions Answer 323192 by Alan3354(30993)   on 2011-07-17 13:03:39 (Show Source): You can put this solution on YOUR website!what is the difference between the volumes of a cylinder with a radius of 5 centimeters and a height of 15 centimeters, and a square prism with a side that measures 12 centimeters and a height of 8 centimeters? ----------------- The cylinder's volume is cc The prism's volume is 12*12*8 = 1152 cc Subtract to find the difference
 test/471175: Identify a counterexample for the conjuncture If the sum of two integers is even, then both integers are even. 14 + 9 = 23 6 + 10 = 16 3 + 9 = 12 none of these 1 solutions Answer 323184 by Alan3354(30993)   on 2011-07-17 12:40:50 (Show Source): You can put this solution on YOUR website!3+9 = 12
 Polynomials-and-rational-expressions/471176: Find the following product: (x+1)^21 solutions Answer 323183 by Alan3354(30993)   on 2011-07-17 12:39:52 (Show Source):
 Functions/471177: Write the equation of the line satisfying the given condition. Parallel to y = (2/3)x +1 and passing through the point (0, -3). (Hint: Parallel lines have the same slope 1 solutions Answer 323182 by Alan3354(30993)   on 2011-07-17 12:39:27 (Show Source): You can put this solution on YOUR website!The slope, m, is 2/3 The y-intercept, b, is -3 --------- y = mx + b y = (2/3)x - 3
 Travel_Word_Problems/471166: A cyclist can go 6 miles with the wind blowing at her back in 3 hours. on the return tri, after 4 hours, the cyclist has 4 miles remaining to return to the starting point. Find the speed of the cyclist and the speed of the wind1 solutions Answer 323177 by Alan3354(30993)   on 2011-07-17 11:56:58 (Show Source): You can put this solution on YOUR website!There's no simple relationship between bicycle speed and wind speed.
 Percentage-and-ratio-word-problems/471167: 0.4 part of a 9.3 g ornamental chain is made of gold. If the chain is cut into 6 equal pieces, how much gold is there in each piece?1 solutions Answer 323176 by Alan3354(30993)   on 2011-07-17 11:56:10 (Show Source): You can put this solution on YOUR website!0.4*9.3 = 3.72 gm of gold 3.72/6 = 0.62 gm in each piece
 Numbers_Word_Problems/471140: Four times the sum of the digits of a two-digit number is equal to the number. If the digits are reversed, the resulting number is 27 greater than the original number. What is the number? 1 solutions Answer 323154 by Alan3354(30993)   on 2011-07-17 10:02:42 (Show Source): You can put this solution on YOUR website!Four times the sum of the digits of a two-digit number is equal to the number. If the digits are reversed, the resulting number is 27 greater than the original number. What is the number? ------------------ A difference of 27 by reversing the digits means they differ by 3 (27/9) and the units digit is greater. (proof available) ----------- t = tens digit u = units digit u = t+3 10t + u = 4(t+u) Sub for u 10t + t+3 = 4t + 4(t+3) = 8t + 12 11t + 3 = 8t + 12 t = 3 u = 6 --> 36
 logarithm/471118: (log16+2log2)/log4=x1 solutions Answer 323149 by Alan3354(30993)   on 2011-07-17 09:21:00 (Show Source): You can put this solution on YOUR website!(log16+2log2)/log4=x (log16+log4)/log4=x log(64)/log(4) = x x = 3
 Numbers_Word_Problems/471108: the sum of two numbers is 85. If one exceeds the other by 10, find the numbers1 solutions Answer 323148 by Alan3354(30993)   on 2011-07-17 09:00:38 (Show Source): You can put this solution on YOUR website!x + y = 85 x - y = 10 ------------ Add 2x = 95 x = 47.5 y = 37.5
 Travel_Word_Problems/471104: How many metres would it take for car A (travelling at a constant 100km/hr) to end up 52.78m in front of car B (travelling at a constant 95km/hr) if car B had a headstart of 55.56m?1 solutions Answer 323146 by Alan3354(30993)   on 2011-07-17 08:56:40 (Show Source): You can put this solution on YOUR website!How many metres would it take for car A (travelling at a constant 100km/hr) to end up 52.78m in front of car B (travelling at a constant 95km/hr) if car B had a headstart of 55.56m? ------------------------- Find how much time it takes first. ------------ Car A is moving 5 km/hr relative to car B (100 - 95) 52.78 + 55.56 = 108.34 meters = 0.10834 km to the point ahead of car B 0.10834 km/5 km/hr = 0.021668 hr ---------------- Car A travels 100km/hr for 0.021668 hr d = 2.1668 km d = 2166.8 meters
 Numbers_Word_Problems/471133: In the figure below, the ratio of AB to DE or the ratio of AC to DF is the same as the ratio of 5 to 4. Find the ratio of x to y.1 solutions Answer 323143 by Alan3354(30993)   on 2011-07-17 08:47:41 (Show Source): You can put this solution on YOUR website!No figure is shown.