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mananth answered: 12270 problems
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Travel_Word_Problems/338746: the speed of a passenger train is 10 mph faster than the speed of a freight train. the passenger train travels 340 miles in the same time it takes the freight train to travel 290 miles. Find the speed of each train 1 solutions Answer 242811 by mananth(12270)   on 2010-09-03 20:47:14 (Show Source): You can put this solution on YOUR website! speed of freight train = x mph speed of passenger train = x+10 mph. .. distance traveled by freight train = 290 distance passenger train = 340 miles .. time taken freight train = 290/x time taken passenger train = 340/x+10 ... Both times are same .. 290x+2900 = 340x add -290x 290x-290x+2900=340x-290x 50x=2900 divide by 50 x=2900/50 x= 58 mph speed of freight train speed of passenger train = x+10 = 58+10 = 68 mph

Quadratic_Equations/338712: what is this factor completely x^4 y^3-81y^3 1 solutions Answer 242809 by mananth(12270)   on 2010-09-03 20:39:31 (Show Source): You can put this solution on YOUR website! x^4 y^3-81y^3 ..

Pythagorean-theorem/338544: The length of a rectangle is 1 cm more than 5 times its width. If the area of the rectangle is 82 cm. find the dimensions of the rectangle to the nearest thousandth. Can you please help me find the formula for this problem? 1 solutions Answer 242651 by mananth(12270)   on 2010-09-03 06:30:27 (Show Source): You can put this solution on YOUR website! let width be x length = 5x+1 .. Area of rectangle = L*W 82=x(5x+1) 82=5x^2+x add -82 82-82=5x^2+x-82 5x^2+x-82=0 Use the quadratic formula a=5, b=1, c=-82 x1= = 3.951 x2= x2=-4.15 (ignore negative value) width = 3.951 cm .. Length = 5*3.951 + 1 L = 20.755 cm. CHECK ((5*3.951) + 1)*3.951=82

Complex_Numbers/338541: how do i solve this and put in set notation??? (x/6)-5>7+(X/2) 1 solutions Answer 242647 by mananth(12270)   on 2010-09-03 05:58:17 (Show Source): You can put this solution on YOUR website! (x/6)-5>7+(X/2) .. add 5 add (x/2) LCD = 6 multiply by 6 4x>72 divide by 4 x>18 {xR|x>18}

Inequalities/338437: what is the answer to -4<(2x-3)/(3)<4? 1 solutions Answer 242645 by mananth(12270)   on 2010-09-03 04:04:51 (Show Source): You can put this solution on YOUR website! -4<(2x-3)/(3)<4 multiply by 3 -12<2x-3<12 add 3 -12+3<2x-3+3<12+3 -9<2x<15 divide by 2

Reduction-of-unit-multipliers/338526: show me how to set the problem up. 175 cubic yds of pool water converting to weight in lbs of water 1 solutions Answer 242644 by mananth(12270)   on 2010-09-03 03:31:39 (Show Source): You can put this solution on YOUR website! 1cu. yard = 1yard * 1 yard * 1 yard 1 cu.yard = 3feet *3feet*3feet 1cu.yard = 9 cu.feet. 175 cu.yards = 175 * 9 = 1575 cu.ft. 1cu.ft of water = 62.4 pounds 1575 cu.ft = 1575*62.4 98,280 lbs.

Polynomials-and-rational-expressions/338527: x^2 + 26x + 169 Not understanding how to Factor completely. Show all work necessary. 1 solutions Answer 242643 by mananth(12270)   on 2010-09-03 03:17:18 (Show Source): You can put this solution on YOUR website! x^2+26x+169 x^2+2*13*x +(13)^2 x^2+13x+13x+(13)^2 x(x+3)+13(x+13) (x+13)(x+13) (x+13)^2

Circles/338531: The perimeter of a semicircle is doubled when the radius is increased by 6.5. Find the radius of the semicircle. 1 solutions Answer 242642 by mananth(12270)   on 2010-09-03 03:13:38 (Show Source): You can put this solution on YOUR website! let the radius be r Perimeter of semicircle P = pi*r .. increased radius = r+6.5 Perimeter = pi*(r+6.5) pi*(r+6.5)= 2*pi*r divide by pi pi*(r+6.5)/pi= 2*pi*r/pi r+6.5 = 2*r add -r to both sides r-r+6.5=2r-r r=6.5, the radius. .. perimeter of semicircle = 6.5*pi = 20.4

real-numbers/338532: solving using the principle of zero (5t -8) (t -1)= 0 how do you do this problem, please show me. 1 solutions Answer 242641 by mananth(12270)   on 2010-09-03 02:36:02 (Show Source): You can put this solution on YOUR website! (5t -8) (t -1)= 0 if the equation is to be = 0 then either (5t -8)has to be 0 OR (t -1)= 0 ... If 5t-8=0 .. 5t-8=0 add +8 to both sides 5t-8+8 = 8 5t=8 divide by 5 5t/5 = 8/5 t = 8/5 ..... If t-1 =0 t-1 = 0 add 1 to both sides t-1+1 = 1 t =1 .. So for LHS = RHS either t=1 OR t =8/5

Travel_Word_Problems/338538: a train travels for 7 hours, it returns at 12km/h faster and takes 5 hrs, what is the distance travelled 1 solutions Answer 242640 by mananth(12270)   on 2010-09-03 02:30:50 (Show Source): You can put this solution on YOUR website! let speed be x while going - time 7 hours while returning it will be x+12 time 5 hours .. distance traveled D = speed * time while going D= 7x while returning D=5(x+12) .. distance is same 7x= 5(x+12) 7x=5x+60 add -5x 7x-5x=5x-5x+60 2x=60 divide by 2 x= 60/2 x= 30 mph .. Distance = speed * time D= 30*7= 210 km .. Check D= 5(x+12) D=5(32+12) D=5*42 D= 210

Triangles/338483: an equilateral triangle has an area of 36 times the square root of 3. What is the length of one of the sides of the triangle? 1 solutions Answer 242626 by mananth(12270)   on 2010-09-02 23:44:49 (Show Source): You can put this solution on YOUR website! let side be a area of equilateral triangle = multiply by a^2=4*36 take square root a= 2*6 a=12

Vectors/338490: two cars leave a crossroads at the same time. One heads north at 50km/h and the other heads east at 70km/h. How far apart art the cars after 0.5h? After 2h? 1 solutions Answer 242616 by mananth(12270)   on 2010-09-02 23:13:18 (Show Source): You can put this solution on YOUR website! two cars leave a crossroads at the same time. One heads north at 50km/h and the other heads east at 70km/h. How far apart art the cars after 0.5h? After 2h? .. it means that they are taking a right angle path. car 1 rate = 50km/h time = 0.5 hours Distance = 50*0.5 = 25 km. .. Car 2 rate = 70km/h distance = 70*0.5 = 35km. 35 km and 25 km are the legs of right triangle 1225+625=D^2 D= 43.01 km. .. repeat the same for 2h time

Geometry_Word_Problems/337602: two circular gears whose teeth interlock when the gears turn. Gear A has 72 teeth and gear B has 48 teeth. How many complete revolutions does gear A make when gear B makes 9 complete revolutions? 1 solutions Answer 242014 by mananth(12270)   on 2010-09-01 06:00:15 (Show Source): You can put this solution on YOUR website! Gear A 72 gear B = 48 .. Ratio of teeth = 72/48 = 3/2 gear B = 9 rev .. 3 rev of B = 2 rev of A 9 rev of B 9*2/3 = 18 /3 = 6 revolutions

Rational-functions/337523: you and a friend are going to go on a bike ride for 24 miles. obviously, the faster you ride the less time the trip will take. write an equation for this scenario using the following: d=distance, r=rate, t=time 1 solutions Answer 242013 by mananth(12270)   on 2010-09-01 05:52:12 (Show Source): You can put this solution on YOUR website! t= d/r .. t= 24/r

Percentage-and-ratio-word-problems/337596: James bought equal numbers of 50-paisa and 75-paisa stamps. If the total cost of the stamps was Tk. 50.00, what was the total number of stamps bought? 1 solutions Answer 242012 by mananth(12270)   on 2010-09-01 05:49:57 (Show Source): You can put this solution on YOUR website! let the number of stamps of each denomination be x 50x+75x=5000 125x= 5000 divide by 125 x= 5000/125 x= 400 .. Total stamps bought = 800

Miscellaneous_Word_Problems/337599: The smallest angle in a triangle is 1/3 of the largest angle. The third angle is 10 degree's more than the smallest angle. Find the measure of all three angles. 1 solutions Answer 242011 by mananth(12270)   on 2010-09-01 05:42:22 (Show Source): You can put this solution on YOUR website! let largest angle be x smallest angle = x/3 third angle = x/3 +10 .. x/3 +10 + x/3 + x =180 add -10 to both sides and reorder x+2x/3 = 180-10 5x/3 = 170 5x= 510 divide by 5 5x/5 = 510/5 x=102. 1/3 * 102 = 34 the second angle third angle = x/3 + 10 = 34+10=44 the angles are 102, 34, 44

Distributive-associative-commutative-properties/337590: What is 3(x-2)-2(x+7)=2x+17 step by step? 1 solutions Answer 242010 by mananth(12270)   on 2010-09-01 05:33:08 (Show Source): You can put this solution on YOUR website! 3(x-2)-2(x+7)=2x+17 step by step? 3x-6-2x-14=2x+17 regroup the terms 3x-2x-6-14=2x+17 x-20=2x+17 add -x to both sides x-x-20=2x-x+17 -20=x+17 add -17 to both sides -20-17 =x+17-17 -37=x

Volume/337404: a rectangular box has a volume of 480 cubic inches. the height of the box is 5 inches. the ratio of the length of the box to the width of thbox is 3 to 2. What is the measure of the width of the box? 1 solutions Answer 242008 by mananth(12270)   on 2010-09-01 02:30:42 (Show Source): You can put this solution on YOUR website! L*W=96 L/w= 3/2 L=3W/2 .. Plug value of L 3W/2 *W= 96 3w^2/2=96 3W^2= 192 W^2= 192/3 W^2= 64 take sqrt W= 8 plug value of W L=3W/2 L=3*8/2 L=12 L=12, W= 8 , H =5 CHECK 12*8*5= 480 cu.inches

Miscellaneous_Word_Problems/337395: The current I is an electrical conductor varies inversely as the resistance R of the conductor. The current is 1/7 ampere when the resistance is 21609 ohms. What is the current when the resistance is 3969 Ohms? K=1/7*21609=3087 I=3087/R= How do I use the equation I=3087/R= to find the current when the resistance is 3969 Ohms? I figured out the equation however, I don’t know what to do next. 1 solutions Answer 242007 by mananth(12270)   on 2010-09-01 02:25:04 (Show Source): You can put this solution on YOUR website! plug the value of r in the equation I= 3087/3969 I =0.77 amps

Sequences-and-series/337388: For the pattern shown below, describe a rule for finding the next term. Then use your rule to write the next 3 terms.... -2, -8/5, -6/5, -4/5,... the next one is -2/5 I'm not sure about the next two. I'm thinking the next one is -1 but not sure at all. Thank you. 1 solutions Answer 242006 by mananth(12270)   on 2010-09-01 02:21:10 (Show Source): You can put this solution on YOUR website! Add 2/5 to the previous fraction -2/5 , 0, 2/5

Equations/337386: 2m + 3mn + 2m + mn 1 solutions Answer 242005 by mananth(12270)   on 2010-09-01 02:16:20 (Show Source): You can put this solution on YOUR website! 2m + 3mn + 2m + mn reorder the terms 2m+2m+3mn+mn 4m+4mn 4m(1+n)

Linear_Equations_And_Systems_Word_Problems/337593: A car rents for $45. per day plus .22 cent per mile you are on a daily budget of $78. What mileage will allow you to stay within your budget. 1 solutions Answer 242004 by mananth(12270)   on 2010-09-01 02:12:41 (Show Source): You can put this solution on YOUR website! let the miles be x fixed cost $45 45 +0.22x <78 add -45 to both sides 45-45+0.22x=<78-45 0.22x< 33 divide by 0.22 0.22x/0.22 < 33/0.22 x< 150 miles

Travel_Word_Problems/337560: A plane can fly 340mph in still air. If it can fly 200 miles downwind in the same amount of time it can fly 140 miles upwind, find the velocity of the wind. 1 solutions Answer 242003 by mananth(12270)   on 2010-09-01 02:08:31 (Show Source): You can put this solution on YOUR website! A plane can fly 340mph in still air. If it can fly 200 miles downwind in the same amount of time it can fly 140 miles upwind, find the velocity of the wind. .. let speed of wind be x mph .. speed downwind = 340+x speed upwind = 340-x .. time downwind = 200/340+x time upwind = 140/340-x .. 200/(340+x)= 140/(340-x) 200(340-x)=140(340+x) 68000-200x= 47600+140x 68000-47600 = 200+140x 20400 = 340x x= 20400/34 x= 60mph the speed of wind

Travel_Word_Problems/337564: A car went 372 miles in 6 hours, traveling part of the time at 55 miles per hour and part of the time at 70 miles per hour. How long did the car travel at each speed? 1 solutions Answer 242001 by mananth(12270)   on 2010-09-01 01:59:42 (Show Source): You can put this solution on YOUR website! A car went 372 miles in 6 hours, traveling part of the time at 55 miles per hour and part of the time at 70 miles per hour. How long did the car travel at each speed? .. let the car travel x miles at 55mph the car will travel 372-x miles at 70 mph. .. time at 55 mph = x/55 time at 70 mph = 372-x/70 .. x/55 + (372-x)/70 = 6 .. 70x+55*372-55x / 70*55=6 15x+20460 =6*70*55 15x+20460=23100 add -20460 15x+20460-20460 = 23100-20460 15x=2640 divide by 15 x= 2640/15 x=176 miles at 55mph 372-x = 372-176= 196 miles at 70 mph

Polynomials-and-rational-expressions/337543: 49x^2-25=0 49x^2-25=0 (7X+5)(7X-5) =0 7X+5=0 OR 7X-5=0 X=-5/7 ,X=5/7 1 solutions Answer 241939 by mananth(12270)   on 2010-08-31 23:15:47 (Show Source): You can put this solution on YOUR website! 49x^2-25=0 (7x)^2-(5)^2=0 (7x+5)(7x-5)=0 x=-5/7 ,OR x=5/7

Mixture_Word_Problems/337534: how much water should be added to 12 mL of 17% alcohol solution to reduce the concentration to 6%? 1 solutions Answer 241934 by mananth(12270)   on 2010-08-31 23:13:28 (Show Source): You can put this solution on YOUR website! 12 mL of 17% alcohol solution mix concentration 6% 12+x ml water 0% x ml .. 0+12*0.17=0.06(12+x) 2.04 = 0.72 +0.06x add -0.72 to both sides 2.04 - 0.72 = 0.72-0.72+0.06x 1.38=0.06x divide by 0.06 1.38/0.06 = x 23 =x 23 ml water

test/337538: Three times a number, minus 6, is equal to two times a number, plus 8. Find the number. 1 solutions Answer 241928 by mananth(12270)   on 2010-08-31 23:04:52 (Show Source): You can put this solution on YOUR website! let number be x 3x-6 =2x+8 add +6 to both sides 3x-6+6 = 2x+8+6 3x=2x+14 add -2x 3x-2x= 2x-2x+14 x=14

test/337482: 3 less than 2 times a number is the same as 2 more than 3 times the number. Find the number 1 solutions Answer 241925 by mananth(12270)   on 2010-08-31 23:02:42 (Show Source): You can put this solution on YOUR website! 2x-3 = 3x+2 add +3 to both sides 2x-3+3 =3x+2+3 2x=3x+5add-3x -3x+2x=3x-3x+5 -x= 5 divide by -1 x=-5

Polynomials-and-rational-expressions/337506: Solve the polynomial equation by factoring and then using the zero product principle: 5x^3+4x^2=20x+16 Answer choices: A.) {-4/5, 2} B.) {-2, 2} C.) {-4/5, 0} D.) {-2, -4/5, 2} 1 solutions Answer 241920 by mananth(12270)   on 2010-08-31 22:58:03 (Show Source): You can put this solution on YOUR website! 5x^3+4x^2=20x+16 5x^3+4x^2-20x-16=0 x^2(5x+4)-4(5x+4)=0 (5x+4)(x^2-4)=0 (5x+4)(x+2)(x-2)=0 x= -4/5, -2,+2 D is correct

Polynomials-and-rational-expressions/337514: 2bc+4b-5c-10 1 solutions Answer 241916 by mananth(12270)   on 2010-08-31 22:52:10 (Show Source): You can put this solution on YOUR website! 2bc+4b-5c-10 2b(c+2)-5(c+2) (c+2)(2b-5)

Polynomials-and-rational-expressions/337515: x^2+12x+11 1 solutions Answer 241913 by mananth(12270)   on 2010-08-31 22:49:37 (Show Source): You can put this solution on YOUR website! x^2+12x+11 x^2+11x+x+11 x(x+11)+1(x+11) (x+11)(x+1)