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# Recent problems solved by 'mananth'

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 Rectangles/401362: A RECTANGLE IS 16M BY9M.FIND A SIDE OF THE SQUARE WHOSE AREA EQUALS THE AREA OF THE RECTANGLE. BY HOW MUCH DOES THE PERIMETER OF THE RECTANGLE EXCEED THE PERIMETER OF THE SQUARE.1 solutions Answer 284050 by mananth(12270)   on 2011-01-29 04:26:15 (Show Source): You can put this solution on YOUR website!A RECTANGLE IS 16M BY9M.FIND A SIDE OF THE SQUARE WHOSE AREA EQUALS THE AREA OF THE RECTANGLE. BY HOW MUCH DOES THE PERIMETER OF THE RECTANGLE EXCEED THE PERIMETER OF THE SQUARE. .. Area of rectangle = 16*9= 144 m^2 .. Area of square = L^2 = 144 L= 12 m .. Perimeter of rectangle = 2*(L+W) ===>2*(16+9) Perimeter = 50 m ... Perimeter of square = 4*L = 48 m .. Difference = 2 m ... m.ananth@hotmail.ca
 Linear_Equations_And_Systems_Word_Problems/401302: A blimp flies at 60 miles per hour. A round trip of 40 miles into the wind and 40 miles with the wind takes 1.5 hours. What is the speed of the wind?1 solutions Answer 284049 by mananth(12270)   on 2011-01-29 04:22:01 (Show Source): You can put this solution on YOUR website!A blimp flies at 60 miles per hour. A round trip of 40 miles into the wind and 40 miles with the wind takes 1.5 hours. What is the speed of the wind? .. 60 miles per hour. wind speed = w ... against wind speed = 60-w with wind speed = 60+w .. 40 miles into the wind 40 miles with the wind takes 1.5 hours. ... time with wind + time agianst wind = 1.5 hours .. t=d/r LCD = (60+w)(60-w) .. multiply by the LCD 40(60-w)+40(60+w)=1.5(60+w)(60-w) 2400-40w+2400+40w=1.5(3600-w^2) 4800=1.5(3600-w^2) divide by 1.5 3200=3600-w^2 w^2=3600-3200 w^2=400 w=20 mph ===>speed of wind ... m.ananth@hotmail.ca
 Travel_Word_Problems/400456: if you rode your bike from your house 6 miles south , then 6 miles west , then another 10 miles east , how far are you (directly) from your house?1 solutions Answer 283536 by mananth(12270)   on 2011-01-27 06:16:31 (Show Source): You can put this solution on YOUR website!you are 6 miles south and 4 miles east from the house .. Use pythagoras theorem 6 & 4 are the legs D= hypotenuse The direct distance D will be sqrt(6^2+4^2) =sqrt36+16 =sqrt52 =7.2 miles from the house
 Miscellaneous_Word_Problems/400499: "Twice the difference between a number and twenty-five is three times the number. Find the number." Thank you in advance!1 solutions Answer 283535 by mananth(12270)   on 2011-01-27 06:10:25 (Show Source): You can put this solution on YOUR website!let number =x 2(x-25)=3x 2x-50=3x 3x-2x=-50 x=-50
 Linear-equations/400507: Find the slope, if it exists, of the line. please explain and show me how to do these problems, ty y= -10 + 7 y=10/3X -5/71 solutions Answer 283534 by mananth(12270)   on 2011-01-27 06:08:31 (Show Source): You can put this solution on YOUR website!y=-10 +7 y=-3 .. this is a line parallel to the x axis. Hence no slope. ... y=(10/3 )x -5/7 compare this equation with the equation y= mx+b compare the co-efficients of x m = (10/3)
 Travel_Word_Problems/400521: Convert 23 meters into miles? 1 solutions Answer 283533 by mananth(12270)   on 2011-01-27 06:03:52 (Show Source): You can put this solution on YOUR website!1 km = 0.621 miles ... 1 meter = 0.000621 miles ... 23 meters = 23*0.000621 =0.014 miles
 Travel_Word_Problems/400523: If you are driving 28 miles per hour, how many feet will you travel in 60 seconds? 1 solutions Answer 283532 by mananth(12270)   on 2011-01-27 05:59:48 (Show Source): You can put this solution on YOUR website!28 miles / hour======> 28*5280/3600 =41.06 feet/second ... 5280 feet = 1mile 3600 seconds = 1hour
 Money_Word_Problems/400535: \$15 = Price item is sold for. \$55 = Cost to produce item \$4 = Labor cost Question: How many items need to be sold to make a profit of \$1100 and how many sold to profit greater than \$1595?1 solutions Answer 283531 by mananth(12270)   on 2011-01-27 05:55:51 (Show Source): You can put this solution on YOUR website!If you sell for \$ 15 and the total cost/item = \$59 how can you ever make a profit?
 Mixture_Word_Problems/400543: Hi....sorry not very clever when it comes to measurements.... If it is 50ml to 10 litres of water....then how many ml is it for 1 litre of water.? many thanks T.Heaton1 solutions Answer 283530 by mananth(12270)   on 2011-01-27 05:41:13 (Show Source): You can put this solution on YOUR website!50ml 10 liters x ml 1 liters .. 5 ml for 1 liters
 Linear-equations/400541: how to graph y=x-4?1 solutions Answer 283529 by mananth(12270)   on 2011-01-27 05:31:34 (Show Source): You can put this solution on YOUR website!y=x-4 .. x=0,y=-4 (0,-4) y=0,x=4 (4,0) ...
 Volume/400545: the diameter of the of a well is 6ft. and the water is 7ft. how many gallons of water are there in the well, reckoning 7.48 gal. to the cubic foot?1 solutions Answer 283527 by mananth(12270)   on 2011-01-27 05:26:12 (Show Source): You can put this solution on YOUR website!Volume V of cylinder = pi*r^2*h r= 6/2 =3 h=7 ... V=pi*3^2*h V= 197.9 ft^3 .. gallons = 197.92/7.48 26.45 gallons
 Human-and-algebraic-language/400548: I have to translate into an algebraic equation two thirds of the difference of six times a number and four1 solutions Answer 283525 by mananth(12270)   on 2011-01-27 05:21:56 (Show Source): You can put this solution on YOUR website!number =x 6x-4 ... 2/3*(6x-4)
 Human-and-algebraic-language/400549: Can you help me translate into an algebraic equation Twice Fred's income less fifty thousand dollars is eight thousand dollars1 solutions Answer 283524 by mananth(12270)   on 2011-01-27 05:20:21 (Show Source): You can put this solution on YOUR website!income = x 2x-50,000=8000
 Rectangles/400383: find the area of a rectangle if its length measures 8 centimeters and its width measures 24 centimeters include correct units with solutions 1 solutions Answer 283419 by mananth(12270)   on 2011-01-26 20:30:30 (Show Source): You can put this solution on YOUR website!Area = L*W Area = 8*24 Area =
 Equations/400384: six less than 3 times a number is 9?1 solutions Answer 283417 by mananth(12270)   on 2011-01-26 20:28:06 (Show Source): You can put this solution on YOUR website!3n-6=9 add 6 3n-6+6=9+6 3n=15 /3 n=5 the number
 Angles/400379: Can a linear pair be complementary ?1 solutions Answer 283412 by mananth(12270)   on 2011-01-26 20:17:16 (Show Source): You can put this solution on YOUR website!the sum of complementary angles = 90 degrees. so it cannot be complementary as the sum will be 180 degrees
 Numeric_Fractions/399816: need to figure out steps -x/6=2/91 solutions Answer 283144 by mananth(12270)   on 2011-01-26 00:30:12 (Show Source): You can put this solution on YOUR website! multiply by 6 on both sides .. ... divide by -1
 test/399910: X-Y=6 X+Y=41 solutions Answer 283142 by mananth(12270)   on 2011-01-26 00:22:52 (Show Source): You can put this solution on YOUR website!X-Y=6 X+Y=4 add the two equations x+x-y+y=6+4 2x=10 divide both sides by 2 2x/2 = 10/2 x= 5 plug value of x in x-y=6 5-y=6 add -5 -y=6-5 -y=1 /-1 y=-1
 Surface-area/399906: what is the surface area of a sphere with a radius of 20 inches?1 solutions Answer 283127 by mananth(12270)   on 2011-01-25 23:48:16 (Show Source): You can put this solution on YOUR website!surface area of sphere = 4*pi*r^2 r=20 4*pi*20^2 = 5,026.54 in^2
 test/399874: Need help in problem 7-651 solutions Answer 283126 by mananth(12270)   on 2011-01-25 23:44:20 (Show Source): You can put this solution on YOUR website!7-65 from where ? OR is it 7-65 = -58
 Coordinate-system/399902: find the y intercept and the x intercept for the equation 3x+5y=75 what is the y intercept as an ordered pair what is the x intercept as an ordered pair1 solutions Answer 283124 by mananth(12270)   on 2011-01-25 23:40:33 (Show Source): You can put this solution on YOUR website!3x+5y=75 .. Y INTERCEPT x=0 5y=75 /5 y=15 (0,15) .. X INTERCEPT y=0 3x=75 /3 x=25 (25,0) ...
 Numbers_Word_Problems/399875: the larger of two numbers is 1 more than 3 times the smaller. The differences between 8 times the smaller and 2 times the larger is 10> Find the numbers.1 solutions Answer 283123 by mananth(12270)   on 2011-01-25 23:33:23 (Show Source): You can put this solution on YOUR website!the larger of two numbers is 1 more than 3 times the smaller. The differences between 8 times the smaller and 2 times the larger is 10> Find the numbers. larger number =x smaller number = y ... x=3y+1 x-3y=1........1 .. 8y-2x=10 /2 4y-x=5........2 ... add (1)&(2) -3y+4y=1+5 ... plug value of y x-3y=1 x-18=1
 Coordinate-system/399892: find the slope if it exists y=-8x+8 m=?1 solutions Answer 283122 by mananth(12270)   on 2011-01-25 23:28:02 (Show Source): You can put this solution on YOUR website!y=-8x+8 compare with y = mx+b ... m=-8
 Rectangles/399898: The length of a rectangle is 3more than its width. the perimeter of the rectangle is 58cm. what are the rectangles dimension?1 solutions Answer 283121 by mananth(12270)   on 2011-01-25 23:26:49 (Show Source): You can put this solution on YOUR website!width =x length = x+3 .. 2*(l+w)=perimeter 2*(x+x+3)=58 2*(2x+3)=58 /2 2x+3=29 2x=29-3 2x=26 /2 x=13 the width length = x+3====>13+3=16
 Coordinate-system/399895: graph the equation and identify the y intercept y= 4/3X +21 solutions Answer 283120 by mananth(12270)   on 2011-01-25 23:23:50 (Show Source): You can put this solution on YOUR website!graph the equation and identify the y intercept y= 4/3X +2 ... x=0,y=2 (0,2) y=0,x=-3/2(-3/2,0) ... y intercept =2
 Coordinate-system/399896: find the y intercept and the x intercept for the equation 3x-2y=121 solutions Answer 283119 by mananth(12270)   on 2011-01-25 23:20:15 (Show Source): You can put this solution on YOUR website!find the y intercept and the x intercept for the equation 3x-2y=12 ... put y = 0 3x-0=12 3x=12 /3 x=4 the x intercept ... put x=0 0-2y=12 -2y=12 /-2 y=-6 the y intercept
 Coordinate-system/399894: find the slope if it exists (-11, -8) and (-12,-10) 1 solutions Answer 283118 by mananth(12270)   on 2011-01-25 23:17:18 (Show Source): You can put this solution on YOUR website!(-11, -8) and (-12,-10) .. slope m = (y2-y1)/(x2-x1) m=-10-(-8)/-12-(-11) m=-10+8/-12+11 m=-2/-1 m=2
 Travel_Word_Problems/399891: A water tank is connected to the two pumps. It takes 40 minutes to fill the tank from the pump at the top and 60 minutes to empty using the the pump at the bottom.. If we pump the water at the same time, how many hours will it take to fill the tank from empty?1 solutions Answer 283116 by mananth(12270)   on 2011-01-25 23:11:06 (Show Source): You can put this solution on YOUR website!A water tank is connected to the two pumps. It takes 40 minutes to fill the tank from the pump at the top and 60 minutes to empty using the the pump at the bottom.. If we pump the water at the same time, how many hours will it take to fill the tank from empty? ... pump A ----- 40 minutes filling so it does 1/40 of job in 1 minute, Pump B ----------- 60 minutes draining so it does 1/60 of the job in 1 minute. .. 1/40 -1/60 is the job done in 1 minute when both are open .. (60-40)/2400= 20/2400====> 2/240======> 1/120 of the job .. so it will take 120 minutes to fill the pool. m.ananth@hotmail.ca
 Linear-equations/399890: If both equations have the same slope it has no solution right?1 solutions Answer 283115 by mananth(12270)   on 2011-01-25 23:04:54 (Show Source): You can put this solution on YOUR website!both equations can have the same slope 1. if they are parallel so no solutions 2. if they are the same line then there are innumerable solutions.
 Coordinate-system/399877: graph the following equation and identify the y-intercept y=x+4 what is the y intercept1 solutions Answer 283114 by mananth(12270)   on 2011-01-25 23:01:39 (Show Source): You can put this solution on YOUR website!y=x+4 x=0,y=4(0,4) y=0x=-4(-4,0) ... ... the y intercept = 4
 Linear-systems/399882: A duck can fly 1800 m in 10 min with the wind. Against the wind, it can fly only 2/3 of this distance in 10 min. How fast can the duck fly in still air? What is the rate of the wind. **PLEASE USE THE VARIABLES R for rate duck speed in still air and C for rate of wind. IF YOU DO NOT..I WILL GET CONFUSED SINCE I AM USING THOSE AND ONLY THOSE VARIABLES.1 solutions Answer 283110 by mananth(12270)   on 2011-01-25 22:48:43 (Show Source): You can put this solution on YOUR website!A duck can fly 1800 m in 10 min with the wind. Against the wind, it can fly only 2/3 of this distance in 10 min. How fast can the duck fly in still air? What is the rate of the wind. **PLEASE USE THE VARIABLES R for rate duck speed in still air and C for rate of wind. IF YOU DO NOT..I WILL GET CONFUSED SINCE I AM USING THOSE AND ONLY THOSE VARIABLES. .. duck rate = r wind rate = c ... with wind, rate = r+c against wind, rate =r-c .. distance , with wind = 1800 m distance,against wind 2/3*1800=1200 m ... time with wind = 10 minutes====> 1/6 hours time, against wind =10 minutes====>1/6 hours ... 1800/(r+c)=1/6 cross multiply r+c=10800......................1 ... 1200/(r-c)=1/6 cross multiply r-c=7200.......................2 ... add (1)&(2) 2r=18000 /2 r=9000 m/minute rate of bird in still air ... r+c=10,800 9000+c=10,800 c=9,000-8,800 c=1800 m/minute .. m.ananth@hotmail.ca