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# Recent problems solved by 'mananth'

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 Rate-of-work-word-problems/342784: Please help me with this question! It takes you 9 mins to wash a car and it takes your friend 12 mins to wash a car. How long does it take the two of you to wash 7 cars if you work together?1 solutions Answer 245332 by mananth(12270)   on 2010-09-13 23:42:05 (Show Source): You can put this solution on YOUR website!I take 9 minutes so 1/9 of the job I do in 1 minute .. my friend takes 12 minutes he tdoes 1/12 of the job in 1 minute .. Together they can do 1/9+1/12 of the job in 1 minute LCD 36 (4+3)/36 7/36 of the job they do in 1 minute so they take 36/7 minutes to clean the car together 5.14 hours 7 cars they take 7*5.14 = 35.98 minutes
 Numbers_Word_Problems/342779: a class has 1 more boy than girl one third of the boys and three fourths of the girls love pizza if 9 students love pizza how many girls and how many boys are in the class1 solutions Answer 245330 by mananth(12270)   on 2010-09-13 23:36:45 (Show Source): You can put this solution on YOUR website!let number of girls be x boys are x+1 .. (x+1)/3 + 3x/4 =9 LCD = 12 (4*(x+1) +3*3x) /12 = 9 4x+4+9x=12*9 13x+4=108 -4 13x+4-4=108-4 13x=104 x= 8 number of girls x+1 = boys = 8+1 =9
 Volume/342780: the rocks fill a hole 2ft deep what is the volume of the rocks with a 10ft diameter?1 solutions Answer 245326 by mananth(12270)   on 2010-09-13 23:30:04 (Show Source): You can put this solution on YOUR website!diameter = 10 feet. radius = 5 feet depth/height = 2ft Volume V = pi*r^2*h V= pi*5^2*2 V= 151.07 cu.ft
 Finance/342773: The Sales tax for a screwdriver set came to \$1.04. If the sales tax rate is 6.5% ,what was the price of the screwdriver?1 solutions Answer 245325 by mananth(12270)   on 2010-09-13 23:26:07 (Show Source): You can put this solution on YOUR website!6.5% is the sales tax .. you pay 6.5 when the price is 100 when you pay 1.05 the price = (1.05/6.5) * 100 = \$ 16.15
 Travel_Word_Problems/342770: A boy can row a boat at a constant rate of 7 mi/hr in still water, as indicated in the figure. He rows up-stream for 18 minutes and then rows downstream, returning to his starting point in another 16 minutes. Find the rate of the current1 solutions Answer 245323 by mananth(12270)   on 2010-09-13 23:20:52 (Show Source): You can put this solution on YOUR website!let rate of current be x mph still water speed = 7mph .. upstream speed = 7-x mph down stream speed = 7+x mph ... time upstream = 18 minutes = 18/60 = 3/10 hours downstream speed = 16 minutes = 16/60 = 4/15 hours .. Distance = time * speed distance upstream = (7-x)*3/10 miles distance downstream = (7+x)*4/15 miles .. But distance is same (7-x)*3/10 = (7+x)*4/15 miles (7-x)*3*15=(7+x)*4*10 315-45x=280+40x 315-80=40x+45x 35=85x x=35/85 speed of current = 0.411 mph ..
 Miscellaneous_Word_Problems/342684: I have six more dimes then quarters in my pocket. the total amount of money I have in my pocket is \$2.00. how many quarters do i have? how many dimes do i have?1 solutions Answer 245268 by mananth(12270)   on 2010-09-13 20:58:54 (Show Source): You can put this solution on YOUR website!let quarters be x dimes = x+6 .. total money = 200 cents 25x+10(x+6)=200 25x+10x+60=200 35x+60=200 -60 35x+60-60=200-60 35x = 140 /35 x=140/35 x=4 quarters dimes = x+6 =10
 Miscellaneous_Word_Problems/342682: A play ground is 1 yard longer than twice its width. John wants to increase the length and width buy 5 feet each to enlarge the area by 90 square feet. what will be the area of the new pen?1 solutions Answer 245243 by mananth(12270)   on 2010-09-13 20:32:25 (Show Source): You can put this solution on YOUR website!let width be x length = 2x+1 ... increase by 5 ft x+5 width 2x+1+5 = length 2x+6. ... (x+5)(2x+6)-x(2x+1)=90 2x^2+6x+10x+30-2x^2-x=90 15x+30=90 -30 15x+30-30=90-30 15x=60 x=4 feet New width = x+5 = 9 feet New length = 2x+6 = 14 feet. ..
 Miscellaneous_Word_Problems/342679: tom's bike shop rents bikes for \$0.30 a mile and an initial \$10.00 fee. joe's bike shop rents bikes for \$0.50 a mile and an initial fee of \$6.00. at what mileage would the two shops cost the same? what would that cost be?1 solutions Answer 245241 by mananth(12270)   on 2010-09-13 20:26:20 (Show Source): You can put this solution on YOUR website!tom's bike shop rents bikes for \$0.30 a mile and an initial \$10.00 fee. joe's bike shop rents bikes for \$0.50 a mile and an initial fee of \$6.00. at what mileage would the two shops cost the same? what would that cost be? let the number of miles be x TOM 0.3x++10 JOE 0.5x+6 .. 0.3x+10=0.5x+6 -0.3x 0.3x-0.3x+10=0.5x-0.3x+6 10=0.2x+6 -6 10-6=0.2x 4=0.2x x=4/0.2 = 20 miles. At 20 miles both will cost the same
 Graphs/342322: Determine the coordinates of the y-intercept of 2x + 4y = 8. 1 solutions Answer 244997 by mananth(12270)   on 2010-09-13 09:27:28 (Show Source): You can put this solution on YOUR website!2x+4y=8 y intercept so x=0 0+4y=8 y=2 (0, 2)
 Travel_Word_Problems/342324: Explain how to find whether 10mi/h is faster then 15ft/s.1 solutions Answer 244996 by mananth(12270)   on 2010-09-13 09:25:19 (Show Source): You can put this solution on YOUR website!10 mi /hour = 10*5280 feet / 3600 seconds =52,800/3600 =14.66 ft/second. it is less
 Money_Word_Problems/342315: How do I figure out this word problem? "A couple does not want to spend more than \$90 dollars for dinner at a resturant. If the sales taxx of 5% is added to the bill and they plan to tip 15% after the tax has been added, what is the most the couple can spend?" I believe you need to set up a quadratic exation like 90 = .05x + .15(.05x)+ x but I'm not sure. 1 solutions Answer 244994 by mananth(12270)   on 2010-09-13 09:23:23 (Show Source): You can put this solution on YOUR website!let the bill be \$x sales tax = 5 % . The bill with sales tax will be 1.05 x ... 15% tip on this value = 1.15 * 1.05x =1.2075x 1.2075x=90 x=90/1.2075 x \$ 74.54 The bill should not be more than \$ 74.53 ..
 Rate-of-work-word-problems/342302: One pipe fills a pool in 30 min Another pipe fills a pool in 20 min Another in 10 min If all 3 were on how long till the pool is filled 1 solutions Answer 244984 by mananth(12270)   on 2010-09-13 08:56:47 (Show Source): You can put this solution on YOUR website!one pipe fills 1/30 of pool in 1 minute the second fills 1/20 of the pool in 1 minute the third fills 1/10 of the pool in 1 minute ... Together they will fill 1/10 + 1/20 + 1/30 of the pool in 1 minute LCD = 60 (6+3+2)/ 60 =11/60 of the pool they fill in 1 minute so they will take 60/11 minutes to fill the pool 60/11= 5 .45 minutes
 Miscellaneous_Word_Problems/342313: Time Temperature 5:00 -10.2 7:00 -6.1 9:00 -2.3 11:00 4 The table gives both time and temperature.How much higher was the temperature at 9 o’clock that 5 o’clock? (A)3.8 (B) 4.1 (C) 7.9 (D) 10.1 (E) 12.51 solutions Answer 244982 by mananth(12270)   on 2010-09-13 08:50:59 (Show Source): You can put this solution on YOUR website!-10.2 -(-2.3) -10.2+2.3 it had icreased by 7.9
 Reduction-of-unit-multipliers/342256: ive beans have a mass of 2.1 g. How many beans are in 0.454 kg of beans? 1 solutions Answer 244935 by mananth(12270)   on 2010-09-12 23:30:51 (Show Source): You can put this solution on YOUR website!5 beans weigh 2.1 g .. 0.454 kg ? 1kg = 1000 grams 0.454kg = 1000 * 0.454 = 454 grams .. 2.1 gram = 5 beans 454 grams = 454 * 5/2.1 = 1081 beans ( rounded off)
 Polynomials-and-rational-expressions/342242: 4v^3-5001 solutions Answer 244931 by mananth(12270)   on 2010-09-12 23:24:29 (Show Source): You can put this solution on YOUR website!4v^3-500 4(v^3-125) 4((v)^3-(5)^3) 4(v-5)(v^2+5v+25)
 Angles/342243: The sum of the measures of two complementary angles exceeds the difference of the measures of their supplements by 32 degrees. Find the measure of each angle.1 solutions Answer 244928 by mananth(12270)   on 2010-09-12 23:21:38 (Show Source): You can put this solution on YOUR website!let one angle be x the other complementary angle will be 90-x ... supplementary angle will be 180-x .. x+(90-x)-x+(180-x)= 32 x+90-x -x +180 -x=32 -2x=32-180-90 -2x=-238 divide by -2 x= -238/-2 x=119 degrees CHECK 119+(90-119)-119+(180-119)=32
 Rational-functions/342252: I am given (-3, 2k) and (k,6). The slope = 1. how do i find k? thanks1 solutions Answer 244926 by mananth(12270)   on 2010-09-12 23:13:44 (Show Source): You can put this solution on YOUR website!(-3, 2k) and (k,6). The slope = 1. skope of line betweene 2 points (x1,y1) (x2,y2) = Plug the value of the points .. k+3= 6-2k 2k+k=6-3 3k=3 divide by 3 k=1
 Word_Problems_With_Coins/342251: Twenty-five coins, a combination of dimes and quarters, are worth \$4.75. How many coins are dimes? How many are quarters?1 solutions Answer 244920 by mananth(12270)   on 2010-09-12 23:07:37 (Show Source): You can put this solution on YOUR website!let number of dimes be d quarters will be 25-d .. total value = 475 cents 10d+25(25-d)=475 10d+625-25d=475 -15d=475-625 -15d=-150 divide by -15 d= 10 the number of dimes quarters will be 15 CHECK 15*25+10*10=475
 Rectangles/342245: Given a rectangle that is 36 cm longer than it is wide. Express the perimeter (in cm) of a rectangle in terms of its width .1 solutions Answer 244917 by mananth(12270)   on 2010-09-12 23:02:57 (Show Source): You can put this solution on YOUR website!let width be w length = w+36 Perimeter P = 2*(L+W) P=2(w+2+36) P=2(2w+36) P=2*2(w+18) P=4(w+18)
 Expressions-with-variables/342246: i need help on trying to understanding how to evaluate each expression for the given values of the variables such as 7p-2t+3for p=6andt=2 can u simpleflie this for me please .1 solutions Answer 244915 by mananth(12270)   on 2010-09-12 22:58:11 (Show Source): You can put this solution on YOUR website!7p-2t+3for p=6andt=2 7p means 7*p 2t means 2*t .. plug the value of p in the expression 7*6 -2*2+3 42-4+3 41+3 44
 Mixture_Word_Problems/342247: How many quarts of water must be added to 9 qt of an 80% antifreeze solution to make a 45% antifreeze solution?1 solutions Answer 244913 by mananth(12270)   on 2010-09-12 22:54:34 (Show Source): You can put this solution on YOUR website!let water required be x qt. 0% 9 qt 80% Mixture = (x+9) qt 45% .. 9*0.8 = (x+9)*0.45 7.2=0.45x+4.05 0.45x=7.20-4.05 divide by 0.45 x= 3.15/0.45 x= 7 qt of water
 Polynomials-and-rational-expressions/342208: the office jet printer can copy sues dissertation in 14 min, the laserjet printer can copy the same dissertation in 16 min. If the two printers work together how long will it take to copy the dissertation?1 solutions Answer 244905 by mananth(12270)   on 2010-09-12 21:31:54 (Show Source): You can put this solution on YOUR website!office et printer does the job in 14 monites so it does 1.14 of the job in 1 minute. ... laser jet does the job in 16 minutes so it does 1/16 of the job in 1 minute. together they do 1/14 + 1/16 of the job in 1 minute (14+16)/224 30/224 ... to complete the job they will take 224/30 minutes 7.46 minutes
 Linear-equations/342204: find the standard from of the equation of the line that passes through the points (-5, -8) and (3,2) 1 solutions Answer 244903 by mananth(12270)   on 2010-09-12 21:25:14 (Show Source): You can put this solution on YOUR website!(-5, -8) and (3,2) slope of the line m = for (x1,y1), (x2,y2) m= 5/4 .. y= mx+b plug value of x,y of any point in the equation. 2=5/4 * 3 +b 2=15/4+b 2-15/4 =b (8-15)/4 = b -7/4 =b y= 5x/4 -7/4 is the required equation
 Graphs/342205: When graphing a linear inequality how do you know if the inequality represents the area above the line?1 solutions Answer 244901 by mananth(12270)   on 2010-09-12 21:17:04 (Show Source): You can put this solution on YOUR website!when graphing an inequality .. if y < than something then the area below the line is the solution. if y > than something then all values above the line are the solutions.
 Linear_Equations_And_Systems_Word_Problems/342199: the sum of two numbers is twenty-five. the larger number is seven less than four times the smaller number. find the numbers.1 solutions Answer 244900 by mananth(12270)   on 2010-09-12 21:14:08 (Show Source): You can put this solution on YOUR website!let one number be x the other number will be 25-x .. 25-x =4x-7 4x+x=25+7 5x=32 x= 6.4 The other number will be 18.6
 Travel_Word_Problems/341809: a one-mile long train is traveling at a constant speed of 60 mph. if it enters a tunnel that is 1 mile long at exactly 1 p.m., at what time will the rear of the train emerge from the tunnel?1 solutions Answer 244770 by mananth(12270)   on 2010-09-12 03:25:14 (Show Source): You can put this solution on YOUR website!length of train 1 mile length of tunnel = 1 mile total distance to travel = 3 miles .. speed = 60 mph minutes =2 minutes It will get out of the tunnel at 1:02 pm.
 Quadratic_Equations/341847: Determine the nature of the solutions of the equation. 2t^2-7t=0. Are there 2 imaginary solutions, 2 real solutions, or 1 real solution?1 solutions Answer 244769 by mananth(12270)   on 2010-09-12 02:44:05 (Show Source): You can put this solution on YOUR website!2t^2-7t=0 t(2t-7)=0 either t=0 OR 2t-7 =0 2t=7 t=7/2 two real solutions.
 Quadratic_Equations/341851: The length of a rectangle is twice the width. The area is 8yd^2. Find the length and the width. The length is ____yd The width is _______yd1 solutions Answer 244768 by mananth(12270)   on 2010-09-12 02:40:57 (Show Source): You can put this solution on YOUR website!width be x length = 2x Area = L*W x*2x =8 2x^2=8 x^2= 8/2 x^2=4 x= sqrt 4 x=2 the width length = 2x = 2*2 =4
 Percentage-and-ratio-word-problems/341835: Walt made an extra \$9000.00 last year from a part time job. He invested part of the money at 8% and the rest at 7%. He made a total of \$680.00 in nterest. How much was invested?1 solutions Answer 244767 by mananth(12270)   on 2010-09-12 02:39:11 (Show Source): You can put this solution on YOUR website!let him invest \$x at 8% he will invest 9000-x at 7% he recieved an interest of \$680 .. 0.08x+0.07(9000-x)=680 multiply by 100 8x+7(9000-x)=100*680 8x+63000-7x= 68000 x= 68000-63000 x= 5000 amount invested @ 8% balance \$4000 he invests at 7%
 Travel_Word_Problems/341863: A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collison dector warns the driver that there is a train 50 meters from teh car and heading toward the same crossing. How far is the train form the car?1 solutions Answer 244766 by mananth(12270)   on 2010-09-12 02:33:14 (Show Source): You can put this solution on YOUR website!The car , the crossing & the train are at right angles to each other. the hypotenuse = 50 m the leg =30 m other leg = (sqrt(50^2-30^2) sqrt(2500-900) =sqrt 1600 =40 m. Train is 40 m from the crossing