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# Recent problems solved by 'rwm'

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 Evaluation_Word_Problems/449883: If y is halved, x is ________________.1 solutions Answer 309431 by rwm(914)   on 2011-05-15 22:49:19 (Show Source): You can put this solution on YOUR website!depends on the equation
 test/449872: 4+4. Solve1 solutions Answer 309430 by rwm(914)   on 2011-05-15 22:47:48 (Show Source): You can put this solution on YOUR website!4=3+1 4=2+2 3+1+2+2=8 therefore 4+4=8
 Numbers_Word_Problems/449874: the greatest of three numbers equals the product of -7 and the smallest number, and the remaining number is 18 more than the smallest. find three numbers if the greatest is 3 less than twice the sum of the other two numbers1 solutions Answer 309427 by rwm(914)   on 2011-05-15 22:39:05 (Show Source): You can put this solution on YOUR website!x=2*(y+z)-3 y=18+z x=-7*z x = 21, y = 15, z = -3 check 21=2*(12)-3 21=21 ok 15=18-3 ok 21=-7*-3 ok
 Permutations/449851: Prestige Builders has a development of new homes.There are five different floor plans,four exterior colors,and an option of either one-car or two -car garage.How many choices are there for one home ?1 solutions Answer 309418 by rwm(914)   on 2011-05-15 22:26:18 (Show Source): You can put this solution on YOUR website!5*4*2=40 choices
 test/449849: Dave can paint a room in one hour less time than Rachael. Together they can do it in five hours. How long will it take Dave if he does the job alone?1 solutions Answer 309413 by rwm(914)   on 2011-05-15 22:04:12 (Show Source): You can put this solution on YOUR website!dave =d r=d+1 5/(d+1)+5/(d)=1 d=9.52494 or r=r dave=r-1 5/r+5/(r-1)=1 r=10.5249 and dave =9.5249
 Quadratic-relations-and-conic-sections/449853: please help me. I have trouble completing the square to find the center & radius. The problem is: x^2+y^2+2x+10y+25=0 ; I need the answer & I need to know how to do more of those problems, thanks.1 solutions Answer 309410 by rwm(914)   on 2011-05-15 21:53:55 (Show Source): You can put this solution on YOUR website!Separate x's and y's and constants This is a circle. x^2+2x+(y+5)^2 = 0 (x+1)^2+(y+5)^2 = 1 center -1,-5 radius 1 area =pi perimeter (circumference) =2pi
 Rational-functions/449838: When it comes to solving Rational Functions, I get lost when I have a Sum and Product Problem on both sides of the equals sign, or when I get have to multiply to get numbers like x^2. On my worksheet for homework, this problem is specifically giving me trouble. (x/x-3)+(x-1/x^2-9)=(2x-3/x+3) I've tried multiplying both sides by (x+3)(x-3), but i screw up everytime. Thanks for your help. 1 solutions Answer 309407 by rwm(914)   on 2011-05-15 21:47:18 (Show Source): You can put this solution on YOUR website!I assume the problem is really (x)/(x-3)+(x-1)/(x^2-9)=(2x-3)/(x+3) You don't want to multiply by (x+3)(x-3) which is (x^2-9) You want to get the same denominator of (x^2-9) so sometimes you will multiply by (x+3)/(x+3) which is 1/1 and sometimes by (x-3)/(x-3) which is also 1/1 We must discount any solutions where x=3 or -3 since they would lead to a zero denominator. it ends up (x^2+4 x-1)/((x-3) (x+3)) = (2 x-3)/(x+3) ((x-13) x+10)/(x^2-9) = 0 4/129 (x-13/2)^2 = 1 x = 1/2 (13-sqrt(129)) x = 1/2 (13+sqrt(129))
 Rate-of-work-word-problems/441932: a painter bought 12 gallons of paint to paint two rooms. one room is twice the size of the other and requires 3 coats of paint. the smaller room requires only 2 coats. the client decided not to paint the second room after all. how many gallons of paint will the painter have to return?1 solutions Answer 309280 by rwm(914)   on 2011-05-15 13:32:01 (Show Source): You can put this solution on YOUR website!No idea because we aren't told how much paint is needed for one room nor the other nor both together. WE are only told how much paint the painter bought. We are not told the relationship between amount bought and the amount needed. Assuming that 12 gallons was the exact amount needed for the two rooms we can say that room one is 2x and needs 6x paint for 3 coats room two is x and uses 2x paint for 2 coats 6x+2x=8x 8x=12 x=12/8=3/2 so room one needs 9 gallons and room two needs 3 gallons assuming that the room not painted is the smaller room (we are not told which room is the non painted room) the 3 gallons are returned.
 Rate-of-work-word-problems/443501: it takes x hours to fill a swimming pool when only hose 1 is used. It takes y hours to fill the pool if only hose 2 is used. Write a rational expression to show how long How takes to fill the pool if both hoses are used. Can you explain the answer and how you got to it?1 solutions Answer 309276 by rwm(914)   on 2011-05-15 13:23:42 (Show Source): You can put this solution on YOUR website!z/x+z/y=1 z is the time together x is the time for one hose y is the time for hose two 1 is the whole job hose one does 1/x per hour hose two does 1/y per hour the whole job takes z hours
 Rate-of-work-word-problems/444102: Jane can paint a 12 foot by 12 foot wall in 3/4 of an hour. How long will it take her to paint another wall that is 15 x 16 ft. Do not use cross multiplication.Draw a picture.1 solutions Answer 309275 by rwm(914)   on 2011-05-15 13:20:27 (Show Source): You can put this solution on YOUR website!12*12=144 sq ft 15*16=20*12=240 20*12/12*12 20/12=5/3 5/3*3/4=5/4 hrs= 1.25 hrs
 Rate-of-work-word-problems/444113: Jean paints a house in 4 days. Brett can paint the same house in 6 days and Joe can paint the same house in 2 days. How much time will it take to paint the house together? 1 solutions Answer 309273 by rwm(914)   on 2011-05-15 13:12:00 (Show Source): You can put this solution on YOUR website!x/4+x/6+x/2=1 12x/4+12x/6+12x/2=12 3x+2x+6x=12 11x=12 x=12/11 days
 Evaluation_Word_Problems/444324: Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best? A= 3feet B= 3 3/4 feet C= 3 1/2 feet D= 3 1/4 feet E= 2 1/2 feet1 solutions Answer 309271 by rwm(914)   on 2011-05-15 13:09:00 (Show Source): You can put this solution on YOUR website!right away we can eliminate a and e as being too short. 1/4 foot is 3 inches too short 3/4 foot is 9 inches too long which leaves 3 1/2 foot which is 6 inches which is not more than 6 inches
 Rate-of-work-word-problems/444755: an experienced painter can paint a garage twice as fast as his apprentice. working together, the painters require 4 hours to paint a garage. how long would it take the experienced painter working alone to paint the garage?1 solutions Answer 309269 by rwm(914)   on 2011-05-15 13:03:58 (Show Source): You can put this solution on YOUR website!4/x+4/2x=1 4/x+2/x=1 6/x=1 x=6 hrs for the experienced painter 2x=12 for the apprentice.
 Rate-of-work-word-problems/444935: You can do a job in 12 minutes and your friend takes 15 minutes. How long will it take both of you to complete the job working together?1 solutions Answer 309267 by rwm(914)   on 2011-05-15 13:00:45 (Show Source): You can put this solution on YOUR website!x/12+x/15=1 20x/12+20x/15=20 5x/3+4x/3=20 9x=60 x=60/9 x=20/3 x= 6 2/3 minutes
 Rate-of-work-word-problems/445916: If A's rate of doing work is to B's is 6:8 and A does a piece of work in 50 days, how long will it take B to do it?1 solutions Answer 309266 by rwm(914)   on 2011-05-15 12:57:05 (Show Source): You can put this solution on YOUR website!6/8=50/b solve for b
 Travel_Word_Problems/449091: A helicopter hovering at 800 feet drps relief supplies to the ground. How long will it take the supplies to hit the ground? Round to the nearest second. 1 solutions Answer 309264 by rwm(914)   on 2011-05-15 12:52:34 (Show Source): You can put this solution on YOUR website!not rate of work
 Rate-of-work-word-problems/449543: A small water pipe takes twice as long to fill a tank as does a larger water pipe. With both pipes open, it takes 16 h to fill the tank. Find the time it would take the small pipe working alone to fill the tank. 1 solutions Answer 309263 by rwm(914)   on 2011-05-15 12:50:46 (Show Source): You can put this solution on YOUR website!16/x+16/2x=1 16/x+8/x=1 24/x=1 x=24 hrs for the larger pipe. 2x=48 hrs for the smaller pipe check 16/24+16/48=1 4/6+1/3=1 2/3+1/3=1 ok
 Rate-of-work-word-problems/447225: PROBLEM 16 ~~~~~~~~~~~~~~~~ It takes Daniel ten hours to oil the lanes in a bowling alley. Ndiba can oil the same lanes in 9 hours. If they worked together how long would it take them?1 solutions Answer 309260 by rwm(914)   on 2011-05-15 12:44:50 (Show Source): You can put this solution on YOUR website!x/10+x/9=1 We know it should be a little less than 5 hrs together. Why? 9x+10x=90 19x=90 x=90/19 =4.74 hrs.
 Rate-of-work-word-problems/449552: Gina and Cal can spray an orchard in 8 hours. Gina working alone would take 12 hours to do the job. How long would it take Cal working alone to do the job?1 solutions Answer 309259 by rwm(914)   on 2011-05-15 12:41:07 (Show Source): You can put this solution on YOUR website!8/12+8/c=1 2/3+8/c=1 8/c=1/3 c=24 hrs for cal working alone.
 Rational-functions/449579: If the length of a rectangle is represented by x+6 and the width is represented by x. What is a rational function, R, to represent the ratio of the area, A, of the rectangle to its perimeter, P?1 solutions Answer 309257 by rwm(914)   on 2011-05-15 12:36:10 (Show Source): You can put this solution on YOUR website! A=(x+6)*x A=x^2+6x P =2*(x+6)+2*x P=2x+12+2x P=4x+12 R=A/P R=(x^2+6x)/(4x+12)
 Expressions-with-variables/449570: Please help! I have this story problem: In 1991, the life expectancy for males in a certain country is 66.4 years. In 1996, it was 70.0 years. "E" is to represent the life expectancy in year t and t represents the number of years since 1991. E=__(t) + __ (round to the nearest tenth) Use the function to predict the life expectancy of males in 2009. E(18)=__ (round to the nearest tenth)1 solutions Answer 309256 by rwm(914)   on 2011-05-15 12:34:35 (Show Source): You can put this solution on YOUR website!Think of (66.4, 1991 or 0) and (70.0, 1996 or 5) as points on the line. find the equation of the line for those two points. and plug in 2009 or 18 for y in the equation and find x
 Equations/449558: Alex cuts a 36 inch piece of wire into 2 pieces. Each piece will be bent into a square. The area of the larger square will be four times the area of the smaller square. What will be the area of the smaller square?1 solutions Answer 309253 by rwm(914)   on 2011-05-15 12:30:06 (Show Source): You can put this solution on YOUR website!a/4*a/4=4*(b/4*b/4) a^2/16=b^2/4 4a^2=16b^2 a^2=4b^2 a=2b a=-2b we reject any solutions that are negative. a+b=36 2b+b=36 3b=36 b=12 a=36-b a=24 a=24 b=12 each side of the 24 inch wire will be 6 inches 6*6=36 in^2 each side of the 12 in wire will be 3 inches 3*3=9 in^2 check 36 is 4 times 9 ok
 Length-and-distance/449575: If a car starts from A towards B with some velocity. Due to some problem in the engine after traveling 30km, the car goes with 4/5 th of its actual velocity The car reaches B 45 min later to the actual time. If the car engine fails after traveling 45km, the car reaches the destination B 36min late to the actual time What is the initial velocity of car and what is the distance between A and B in km1 solutions Answer 309250 by rwm(914)   on 2011-05-15 12:18:13 (Show Source): You can put this solution on YOUR website!Actual time is what the time really was. So your talk about actual time makes no sense. Perhaps you mean to say scheduled or planned time.
 Linear-equations/449577: 0.15x + 0.79 0.11y -y = -0.85 question are these paralley or perpendicular1 solutions Answer 309248 by rwm(914)   on 2011-05-15 12:11:38 (Show Source): You can put this solution on YOUR website!Are what parallel and perpendicular? You copied the equations incorrectly. the first line isn't even an equation the second line has y twice.
 Travel_Word_Problems/449567: A runner covers 31km in 4 hours. He cycled part of the way at 14 km/h and he walked the rest of the way at 4 km/h. How far did he walk?1 solutions Answer 309246 by rwm(914)   on 2011-05-15 12:07:40 (Show Source): You can put this solution on YOUR website!r*t+r*t=d 14*c+4*w=31 c+w=4 c=3/2=1.5 hrs cycling 14*3/2=7*3=21 km cycling w=5/2=2.5 hrs walking 4*5/2=10 km walking
 Equations/449565: I have problem solving with fractions . Solve using the multiplication principle. is this right if not can you example. -8x >1/15 (8/-8>(1/ 15) *(1/(-8)) X > - 1/15*1/8 >1/191 solutions Answer 309244 by rwm(914)   on 2011-05-15 11:55:40 (Show Source): You can put this solution on YOUR website!I have no idea what you are doing. It just looks like you threw some numbers together for no particular reason. -8x> 1/15 divide by -8 on both sides and switch the sign x< 1/15/-8 x< -1/(8*15) x<-1/120
 Sequences-and-series/449173: what is the common difference for this arithmetic sequence: 13/36, 17/36, 21/36, 25/36?1 solutions Answer 309037 by rwm(914)   on 2011-05-14 06:40:53 (Show Source): You can put this solution on YOUR website!subtract one fraction from the next subtract 13/36 from 17/36
 percentage/449183: What percentage of female customers had a fashion-oriented lifestyle? 215 out of 7361 solutions Answer 309036 by rwm(914)   on 2011-05-14 06:35:53 (Show Source): You can put this solution on YOUR website!(215/736)*100
 Equations/449177: B spends 3/8 of his pocket money.If he has \$5.20 left, how much did he have to begin with?1 solutions Answer 309035 by rwm(914)   on 2011-05-14 06:33:19 (Show Source): You can put this solution on YOUR website!he spent 3/8 so he has 5/8 5/8*x=5.20 x=5.2*8/5 x=8.32 5/8*8.32=5.20
 Evaluation_Word_Problems/449113: Identify the equation of direct variation given that y varies directly with x. x is 84 when y is 6. answers: a) y = 14x b) y = 84x c) y = 1/14x d) y = 1/48x1 solutions Answer 309008 by rwm(914)   on 2011-05-13 21:39:27 (Show Source): You can put this solution on YOUR website!c) y=1/14*x 6=84/14
 Distributive-associative-commutative-properties/449146: solve the solution for z: 5.4z-1.6=15.6+9.7z1 solutions Answer 309007 by rwm(914)   on 2011-05-13 21:32:27 (Show Source): You can put this solution on YOUR website!subtract 15.6 from -1.6 subtract 5.4z from 9.7z z=-4