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# Recent problems solved by 'mananth'

mananth answered: 12270 problems
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 Travel_Word_Problems/334787: At 10:100 a.m. two cars leave the same location and travel in opposite directions one car's speed is 50 mi/h, while the other's speed is 55 mi/h. at what time are the cars 273 mi apart?1 solutions Answer 239877 by mananth(12270)   on 2010-08-25 00:27:41 (Show Source): You can put this solution on YOUR website!since both are travelling in opposite directions the effective speed = 105 mph. distance = 273 miles Time = 273/105 time =2.6 hours .. 0.6 hours = 36 minutes 2 hours 36 minutes .. they will be 273 miles apart at 12 .36 pm
 Percentage-and-ratio-word-problems/334786: Hello, and good part of day! Please help me! A pollution control device on a car reduces the amount of an air pollutant by 55 ppm. When the drived is installed, it will take a car 7 hours to emit the same amount of the pollutant that it formerly did in 2h. What was the original concentration of the pollutant in the car's exhaust? Thank you!1 solutions Answer 239876 by mananth(12270)   on 2010-08-25 00:21:17 (Show Source): You can put this solution on YOUR website!let the original pollutant be x ppm / hour .. the device reduces by 55 ppm .. so the pollutant released will be x-55./ hour .. 2x= 7(x-55) 2x=7x-385 add -7x to both sides 2x-7x=7x-7x-385 -5x=-385 divide by -5 x= -385/-5 x=77 ppm - original
 Length-and-distance/334768: the hypotenuse of a isosceles right triangle measures 15feet.find the area.1 solutions Answer 239875 by mananth(12270)   on 2010-08-25 00:13:51 (Show Source): You can put this solution on YOUR website!Hypotenuse of isosceles right triangle = 15 feet .. let leg be x x^2+x^2=15^2 2x^2=225 divide by 2 x^2= 225/2 x= sqrt(225/2) .. Area of triangle = 1/2 * leg1*leg2 =1/2 *sqrt(225/2)*sqrt(225/2) =1/2 * 225/2 = 225/2 =112.5 sq.feet
 Length-and-distance/334774: At a point 40 feet from the base of a building, the angle of elevation to the top of the building is 55°. Find the height of the building to the nearest whole foot.1 solutions Answer 239873 by mananth(12270)   on 2010-08-25 00:07:04 (Show Source): You can put this solution on YOUR website!base = 40 feet angle of elevation = 55 .. height = tan 55 * 40 height = 1.428*40 57.12 feet
 Quadratic_Equations/334780: can you help me with this problem with a step by step of the eqaution 5x-4/5x+4=2/31 solutions Answer 239870 by mananth(12270)   on 2010-08-24 23:56:33 (Show Source): You can put this solution on YOUR website! .. add -10x+12 to both sides so that 12 and 10x .. 15x-10x+12-12=10x+8-10x+12 5x=20 doivide by 5 x= 20/5 x=4
 Exponents/334782: (3z^1/4)^3 ____________ z^1/12 Simplify your answer. 1 solutions Answer 239867 by mananth(12270)   on 2010-08-24 23:51:58 (Show Source): You can put this solution on YOUR website!(3z^1/4)^3 ____________ z^1/12 3z^((1/4*3))/z^(1/12) .. 3z^(3/4-(1/12)) .. =3z^((9-1)/12) =3z^(8/12) =3z^(2/3)
 test/334781: Please help me solve this story problem. A rectangle table is four times as long as it is wide. If the area is 144ft^2, find the length and the width of the table. Thanks for the help :o)1 solutions Answer 239865 by mananth(12270)   on 2010-08-24 23:41:43 (Show Source): You can put this solution on YOUR website!let width be x length = 4x .. Area of rectangle = L*W Area =144 4x^2=144 divide by 4 x^2=144/4 take aquare root of both sides x=12/2 x= 6 ft. the width . length = 4x = 4*6=24 ft. the length CHECK 6*24= 144 sq. ft
 Travel_Word_Problems/334775: It takes you 1/2 hour to travel 26 miles to work, what is your average speed?1 solutions Answer 239864 by mananth(12270)   on 2010-08-24 23:37:54 (Show Source): You can put this solution on YOUR website! .. distance = 26 miles time = 1/2 hour speed = 26 / 1/2 speed = 26*2 = 52 mph
 Exponents-negative-and-fractional/334776: (g^(3/2) + 3g^(-1/2)) / g^(1/2)1 solutions Answer 239863 by mananth(12270)   on 2010-08-24 23:35:23 (Show Source): You can put this solution on YOUR website! .. .. ..
 Evaluation_Word_Problems/334777: Hello my question is... An angle has a measure X degrees. find the average of the measure of a complement and a supplement of the angle.1 solutions Answer 239861 by mananth(12270)   on 2010-08-24 23:19:48 (Show Source): You can put this solution on YOUR website!Measure of angle = x .. complement = (90-x) supplement = (180-x) The average of both = .. .. .. 135 deg.
 test/334740: 2s=gt^2 solve for g1 solutions Answer 239855 by mananth(12270)   on 2010-08-24 21:29:27 (Show Source): You can put this solution on YOUR website! .. divide by t^2 .. ..
 Rectangles/334739: The length of a rectangle is 8 times its width. The perimeter of the rectangle is 54 kilometers. Find the dimensions of the rectangle.1 solutions Answer 239854 by mananth(12270)   on 2010-08-24 21:26:13 (Show Source): You can put this solution on YOUR website!width = x length = 8x .. perimeter = 2(8x+x)=54 16x+2x=54 18x=54 x=3 km length = 24 km.
 Linear-systems/334731: Please help solve each system by substitution to determine whether the equations are independent, dependent, or inconsistent. y = -3x + 19 y = x + 81 solutions Answer 239853 by mananth(12270)   on 2010-08-24 21:23:18 (Show Source): You can put this solution on YOUR website!y = -3x + 19 y = x + 8 subtract one equation from other -3x+19 -x-8=0 -4x=-11 x=11/4 .. plug value of x in the equation y=-3x+19 y=-3*11/4+19 y=43/4 .. Independant
 Quadratic_Equations/334729: X squared = x+42 Confused and not able to come up with an answer that works. I would appreciate your help with this one.1 solutions Answer 239845 by mananth(12270)   on 2010-08-24 21:02:29 (Show Source): You can put this solution on YOUR website!x^2=x+42 x^2-x-42=0 x^2-7x+6x-42=0 x(x-7)+6(x-7)=0 (x+6)(x-7)=0 x=-6,OR x=7
 Linear-systems/334719: Please solve and graph the following system: 3x-5y = - 9 5x-6y = -8 Thank you!1 solutions Answer 239843 by mananth(12270)   on 2010-08-24 21:00:16 (Show Source): You can put this solution on YOUR website!3x-5y = - 9 5x-6y = -8 .. multiply equation 1 by -5 and equation 2 by 3 .. -15x+25y=45 -15x-18y=-24 .. 7y=21 divide by 7 y =3 .. plug value of y in equation 1 3x-5*3=-9 3x-15=-9 add +15 3x=15-9 3x=6 divide by 3 x=2 .. They intersect at (2,3)
 test/334706: Simple word problem. Two business partners agrEe to puch a business for 192000. One must pay 8750 more than 2/3 of what the other will invest? How much ea? Answer key states 109950 and 82050. How r they getting this answer. I am interpreting 2/3 wrong I think. .1 solutions Answer 239829 by mananth(12270)   on 2010-08-24 20:33:50 (Show Source): You can put this solution on YOUR website!let one pay x 2/3 x = 2x/3 8750 +2x/3 .. x+2x/3 +8750 = 192000 x+2x/3 = 192000-8750 (3x+2x)/3 = 183250 5x/3 = 183250 multiply by 3 5x = 3 * 183250 divide by 5 x= 3*183250/5 One will invest \$109,950 The other the balance 192000-109950 = \$ 82,050
 Triangles/334477: The hypotenuse of a right triangle is 7 inches longer than the base and 14 inches longer than the height. The perimeter of the triangle is 84 inches. Find its area.1 solutions Answer 239655 by mananth(12270)   on 2010-08-24 11:57:26 (Show Source): You can put this solution on YOUR website!let hypotenuse be x side 1 = x-7 side 2 = x-14 .. x+x-7+x-14=84 3x-21=84 add 21 3x-21+21=84+21 3x=105 divide by 3 x= 35 .. base = 35-7= 28 height = 35-14= 21 .. Area = 1/2 * 21*28 =21*14 =294 sq. inches
 Exponents/334483: (-2)^6 ________ (-2)^3 Use the quotient rule and simplify1 solutions Answer 239654 by mananth(12270)   on 2010-08-24 11:51:53 (Show Source): You can put this solution on YOUR website! .. ..
 test/334480: Please help me with solving geometry and algebra problems.1 solutions Answer 239653 by mananth(12270)   on 2010-08-24 11:49:07 (Show Source): You can put this solution on YOUR website!what kind of help
 Inequalities/334454: please solve the rational inequality. express answer in interval notation. 1 solutions Answer 239648 by mananth(12270)   on 2010-08-24 10:59:39 (Show Source): You can put this solution on YOUR website! multiply by (x+6) .. .. .. add -5x to both sides add +2 on both sides
 Linear-systems/334462: 2x+7y=8 5x-3y=21 por los tres metodos please1 solutions Answer 239640 by mananth(12270)   on 2010-08-24 10:48:46 (Show Source): You can put this solution on YOUR website!2x+7y=8..........1 5x-3y=21 ........2 .. multiply equation 1 by -5 and equation 2 by 2 and add them -10x-35y+10x-6y=-40+42 -41y=+2 y=-2/41 .. plug value of x in equation 1 2x +7(-2/41)= 8 2x= 8+(14/41) 2x=328+14/41 divide by 2 y= 342/ 41*2 y=171/7
 Proportions/334465: Show me the solution to this problem. n/2=5/101 solutions Answer 239634 by mananth(12270)   on 2010-08-24 10:36:38 (Show Source): You can put this solution on YOUR website! multiply by 2 on both sides .. n=1
 Linear-systems/334460: 2x+3y=1 4x-5y=-91 solutions Answer 239632 by mananth(12270)   on 2010-08-24 10:33:01 (Show Source): You can put this solution on YOUR website!2x+3y=1.................1 4x-5y=-9................2 .. multiply equation 1 by -2 and add it to equation 2 -4x-6y+4x-5y=-2-9 -11y=-11 divide by -11 y=1 .. plug value of y in equation 1 2x+3=1 2x=-2 divide by 2 x=-1
 Travel_Word_Problems/334441: You are 80 miles away from home and you start driving 45 mph. When will you be 500 miles away from home?1 solutions Answer 239623 by mananth(12270)   on 2010-08-24 09:12:59 (Show Source): You can put this solution on YOUR website!80 miles away from home distance = 500 miles .. distance to travel at 45 mph= 500-80 =430 miles .. .. =9.55 hours
 Miscellaneous_Word_Problems/334436: The product of two numbers is 10. One number is 3 more than the other number. What is the quadratic equation that models these numbers? Solve the quadratic equation to find the pairs of numbers. Any help would be greatly appreciated I'm really stuck!!!1 solutions Answer 239622 by mananth(12270)   on 2010-08-24 09:08:36 (Show Source): You can put this solution on YOUR website!let the number be x, & y .. product =10 xy=10 y= 10/x x-y=3 .. plug value of y in second equation x^2-3x-10=0 x^2-5x+2x-10=0 x(x-5)+2(x-5)=0 (x-5)(x+2)=0 x= 5 OR -2 x=5, y=2 x=-2, y=-5
 expressions/334434: -1/3[-9+10(3)] I do not know the value of this expression?1 solutions Answer 239620 by mananth(12270)   on 2010-08-24 08:59:40 (Show Source): You can put this solution on YOUR website! .. .. .. -7
 Polynomials-and-rational-expressions/334421: what is the answer of ax+ay-bx-by over am-bm-an+bn1 solutions Answer 239610 by mananth(12270)   on 2010-08-24 07:42:12 (Show Source):
 Travel_Word_Problems/334401: A car travels a total distance of 317 miles. On the way to work it travels at a speed of 58 mph and on the way back it travels at a speed of 52 mph. The total time taken for the car is 5 hours and 45 min. How long does each of the speeds take?1 solutions Answer 239603 by mananth(12270)   on 2010-08-24 07:30:38 (Show Source): You can put this solution on YOUR website!A car travels a total distance of 317 miles. On the way to work it travels at a speed of 58 mph and on the way back it travels at a speed of 52 mph. The total time taken for the car is 5 hours and 45 min. How long does each of the speeds take? .. let the distance to work be x miles speed = 58 mph the distance return will be 317-x miles speed = 52 mph .. .. LCM = 52*58 .. .. .. -8x +18386 = 13*23*58 -8x=-18386+17342 -8x=-1044 x= -1044/-8 x= 130.5 miles. 130.5 / 58 = 2.25 hours at 58 mph .. 317-130.5 = 186.5 miles On return speed = 52 mph 3.5 hours at 52 mph
 Rectangles/334415: The width of a rectangle is 24in, it has a length that is represented by 1.2in. If a rectangel has a length of 1.8in what is its actual Lenght?1 solutions Answer 239599 by mananth(12270)   on 2010-08-24 07:01:45 (Show Source): You can put this solution on YOUR website! .. .. 36 inches
 Angles/334405: An angle measures 43 degrees less than 6 times the measure of its compliment. find the measure of both angles1 solutions Answer 239592 by mananth(12270)   on 2010-08-24 02:40:12 (Show Source): You can put this solution on YOUR website!let the angle be x complement = 90-x .. x= 6(90-x)-43 x=540-6x-43 7x = 497 divide by 7 x= 71 deg 90-x = 90-71=19 deg 71 deg, 19 deg.
 Linear-systems/334402: I'm not sure what category this problem falls under. In the problem 2x + 3y = 7 what is the expression for y in terms of x?1 solutions Answer 239591 by mananth(12270)   on 2010-08-24 02:33:22 (Show Source): You can put this solution on YOUR website!2x+3y=7 add -2x 2x-2x+3y=7-2x 3y=7-2x divide by 3 3y/3 = (7-2x)/3 y= (7-2x)/3