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 Numbers_Word_Problems/349536: One number is one more than twice another number. The sum of the two squares of the two numbers is 97. I need to find the numbers... can you help?1 solutions Answer 249822 by mananth(12270)   on 2010-09-28 23:46:54 (Show Source): You can put this solution on YOUR website!LET ONENUMBER BE X THE OTHER NUMBER = 2X+1 ... x^2+(2x+1)^2=97 x^2+4x^2+4x+1=97 5x^2+4x-96=0 5x^2+4x-96=0 5x^2-20x +24x-96=0 5x(x-4)+24(x-4)=0 (x-4)(5x+24)=0 x=4 OR -24/5 ... 4 &9 -4.8, -8.6
 Linear_Algebra/349528: y=-3x+2 y=2x+3 graphing the equation lnear1 solutions Answer 249820 by mananth(12270)   on 2010-09-28 23:27:03 (Show Source): You can put this solution on YOUR website!y=-3x+2 find y for different values of x (1-1) (-2,8) (-1,6) ... y=2x+3 ( RED LINE) (1,5) (2,7) (-2,-1) ..
 Numeric_Fractions/349527: If the answer is -40/2 in fraction form on both sides as in -40/2=-40/2, and the equation is -40/2 (fraction)= -15 + -10/2(fraction) I am not sure how to come to that answer of -40/2 on both sides. Can you simplify please?1 solutions Answer 249818 by mananth(12270)   on 2010-09-28 23:18:26 (Show Source): You can put this solution on YOUR website! LCD = 2 on the RHS ..
 Travel_Word_Problems/349531: Two boats leave the dock at the same time going in the same direction. The first boat travels at 35 mph. If the boats are 5 miles apart after 10 hours what is the speed of the second boat?1 solutions Answer 249817 by mananth(12270)   on 2010-09-28 23:14:53 (Show Source): You can put this solution on YOUR website!Boat A 35 mph After 10 hours boat A travels 35*10 = 350 miles. .. the difference between them after 10 hours = 5 miles. SO either the boat B will be 355 miles or 345 miles from starting point. Since we do not know which one is faster .. speed of B = 345/10 OR 355/10 speed = 34.5 mph OR 35.5 mph
 Numeric_Fractions/349525: If the answer is -40/2 in fraction form on both sides as in -40/2=-40/2, and the equation is -40/2 (fraction)= -15 + -10/2(fraction) I am not sure how to come to that answer of -40/2 on both sides. Can you simplify please?1 solutions Answer 249812 by mananth(12270)   on 2010-09-28 23:00:32 (Show Source): You can put this solution on YOUR website! LCD = 2 on the RHS ..
 Equations/349514: solve for r 3v=4(pi)r^31 solutions Answer 249809 by mananth(12270)   on 2010-09-28 22:55:55 (Show Source): You can put this solution on YOUR website!3v=4(pi)r^3 divide by 4*pi 3v/4pi=r^3 r= cuberoot (3v/4*pi)
 Problems-with-consecutive-odd-even-integers/349518: the greater of two consecutive even integers is 58 less than three times the smaller. find the integers.1 solutions Answer 249807 by mananth(12270)   on 2010-09-28 22:53:18 (Show Source): You can put this solution on YOUR website!let the numbers be x & x+2 .. x+2=3x-58 3x-x=2+58 2x=60 the numbers are 30,32 ...
 Problems-with-consecutive-odd-even-integers/349522: the sum of two numbers is 25. 12 less than four times one of the numbers is 16 more than twice the other number1 solutions Answer 249803 by mananth(12270)   on 2010-09-28 22:49:55 (Show Source): You can put this solution on YOUR website!one number be x the other number will be 25-x ... 4x-12 =2(25-x)+16 4x-12 =50-2x+16 4x+2x=50+16+12 6x=78 x= 13 ... 13 & 12 are the numbers
 Rational-functions/349516: Hi I'm not sure how to solve this problem and I have looked in my book and can't find similar problems. 1 1 5 ____ - ___ = ___ 4x-12 x^2-9 x-3 Note: (X^2) is x squared minus 9. I tried to make these look like fractions but it should read; 1 over 4x minus 12 minus 1 over x squared minus nine equals 5 over x minus three. Thank You!!!!1 solutions Answer 249800 by mananth(12270)   on 2010-09-28 22:47:09 (Show Source): You can put this solution on YOUR website!1 1 5 ____ - ___ = ___ 4x-12 x^2-9 x-3 ... 1 1 5 ____ - ___ - ___ = 0 4x-12 x^2-9 x-3 ... LCD =
 Equations/349515: Write down the equation described in these word problems. Don't solve the problem. Just write down the equation. #18 Eight times the sum of two and some number is 120 #19 The product of 10, and a number decreased by 5, is 200. #20 Twelve subtracted by twice a number is four less than the same number 1 solutions Answer 249793 by mananth(12270)   on 2010-09-28 22:31:43 (Show Source): You can put this solution on YOUR website! Eight times the sum of two and some number is 120 8(n+2)=120 The product of 10, and a number decreased by 5, is 200. 10n-5 =200 Twelve subtracted by twice a number is four less than the same number 2n-12 = n-4
 Rectangles/349437: given a rectangle whose width, w, is 5 less than twice the length, L, state the perimeter of the rectangle as a function of L.1 solutions Answer 249767 by mananth(12270)   on 2010-09-28 20:56:51 (Show Source): You can put this solution on YOUR website!w width w= 2L-5 ... Perimeter = 2*(L+W) P= 2(L+(2l-5) P=2(3L-5) P=6L-10
 Linear_Equations_And_Systems_Word_Problems/349443: Imogene's car traveled 280 mi averaging a certain speed. If the car had gone 5 mph faster, the trip would have taken 1 hour less. Find the average speed. i let r= rate of average speed i let r+5= rate could have been 1 hour less 280/r + 280/(r+5)= 280/r + 280/(r+5)1 solutions Answer 249766 by mananth(12270)   on 2010-09-28 20:51:52 (Show Source): You can put this solution on YOUR website!Imogene's car traveled 280 mi averaging a certain speed. If the car had gone 5 mph faster, the trip would have taken 1 hour less. Find the average speed. .. let rate be x if rate is increase by 5 the new rate = x+5 mph Distance = 280 miles ... Time taken by old rate - time taken by new rate =1 ... 280/x-280/(x+5)=1 280(x+5)-280x /x(x+5) =1 280x+1400-280x=x(x+5) 1400 = x^2+5x x^2+5x-1400=0 x^2++40x-35x-1400=0 x(x+40)-35(x+40)=0 (x+40)(x-35)=0 So x = 35 mph the original rate
 Linear-equations/349438: write an equation of the line containg the given point and parallel to the given line.. (6,-1); 4x-(-5y)=6 4x minus negative 5y = 61 solutions Answer 249764 by mananth(12270)   on 2010-09-28 20:44:11 (Show Source): You can put this solution on YOUR website!(6,-1); 4x-(-5y)=6 4x-(-5y)=6 4x+5y=6 5y=-4x+6 y=-4x/5 +6/5 slope = -4/5 ... slope of line parallel to this line will also be -4/5 .. it passes through (6,-1) plug values of x,y,m to find b in equation y = mx+b -1=-4/5 * 6 +b -1=-24/5 +b -1+24/5=b (-5+24)/5 =b b=19/5 The equation is y = -4x/5 + 19/5
 Equations/349430: If the length of a rectangle is 3 yards more than twice its width, and the perimeter of the rectangle is 36 yards, find the dimensions of the rectangle1 solutions Answer 249759 by mananth(12270)   on 2010-09-28 20:34:44 (Show Source): You can put this solution on YOUR website!let width be x length = 2x+3 .. Perimeter = 2(L+W) 2*(x+2x+3)=36 2(3x+3)=36 6x+6=36 6x=30 x= 5 yards the width 2x+3 = 10+3 = 13 yards the length
 Problems-with-consecutive-odd-even-integers/349110: Find Three consecutive odd integers such that the sum of the last two is 85 more than the first.1 solutions Answer 249544 by mananth(12270)   on 2010-09-28 09:35:56 (Show Source): You can put this solution on YOUR website!let the numbers be x,x+2,x+4 ... x+2+x+4 =x+85 2x+6 = x+85 2x-x = 85-6 x=79 ... 79,81,83
 Polynomials-and-rational-expressions/349066: hello 1 solutions Answer 249543 by mananth(12270)   on 2010-09-28 09:33:50 (Show Source): You can put this solution on YOUR website!hello, post you question I am there
 Age_Word_Problems/349078: jay is 12 years older than mario. If mario's age 2 years from now is half jay's age six years from now, how ild will each be in 10 years?1 solutions Answer 249539 by mananth(12270)   on 2010-09-28 09:30:55 (Show Source): You can put this solution on YOUR website!jay is 12 years older than mario. If mario's age 2 years from now is half jay's age six years from now, how ild will each be in 10 years? ... let mario be x Jay = x+12 ... 2 years from now Mario = x+2 6 years from now Jay's age x+12+6 =x+18 ... x+2 = 1/2 (x+18) 2(x+2)=x+18 2x+4 = x+18 2x-x=18-4 x= 14 Mario's age now x+12 = 14+12 = 26 years Jay's age .. 10 years later Mario = 24 years Jay = 36 years
 expressions/349104: 8 MORE THAN THE PRODUCT of x and 81 solutions Answer 249531 by mananth(12270)   on 2010-09-28 09:23:41 (Show Source): You can put this solution on YOUR website!product of 8 & x = 8x 8 more add 8x+8
 Polynomials-and-rational-expressions/349099: (2x^2-9x+4)/(6x^2+7x-5)1 solutions Answer 249529 by mananth(12270)   on 2010-09-28 09:22:49 (Show Source): You can put this solution on YOUR website!(2x^2-9x+4)/(6x^2+7x-5) ... (2x^2-8x-x+4) / (6x^2+10x-3x -5) .. 2x(x-4)-1(x-4)/2x(3x+5)-1(3x+5) ... (2x-1)(x-4)/(2x-1)(3x+5) ... (x-4)/(3x+5)
 Angles/349101: The measure of a supplement of <1 is six times the measure of a complement of <1. Find the measure of <1, its supplement, and its complement. 1 solutions Answer 249525 by mananth(12270)   on 2010-09-28 09:18:24 (Show Source): You can put this solution on YOUR website!let angle be x supplement = 180-x complement = 90-x ... 180-x=6(90-x) 180-x=540-6x -x+6x=540-180 5x=360 x= 360/5 x= 72 deg. the angle
 Travel_Word_Problems/349092: A car leaves manila, heading toward a resort, at an average speed of 60 miles per hour. On a parrallel track, another car leaves Manila a half hour later and travels at an average speed of 90 miles per hour. At what points will car B pass A?1 solutions Answer 249523 by mananth(12270)   on 2010-09-28 09:15:42 (Show Source): You can put this solution on YOUR website!Car A 60 mph Car B 90 mph .. Car B catches up 30 mph .. Car B leaves 1/2 later. By that time car A has traveled 1/2 * 60 = 30 miles. ... time = distance / speed time = 30/30 = 1 hour.
 Rate-of-work-word-problems/349097: If it takes one worker 20 hours to roof a house and another 25 hours how long will it take them to work together?1 solutions Answer 249520 by mananth(12270)   on 2010-09-28 09:10:40 (Show Source): You can put this solution on YOUR website!one worker 20 hours 1/20 of the job he will do in 1 hour another worker 25 hours to do the job 1/25 of the job in 1 hour ... Together they will do 1/20 + 1/25 of the job in 1 hour LCD = 100 5+4 / 100 9/100 of the job in 1 hour. they will take 100 /9 hours to do the job. =11.1 hours
 Linear-systems/349098: How do I graph 2y-5x<131 solutions Answer 249516 by mananth(12270)   on 2010-09-28 09:07:19 (Show Source): You can put this solution on YOUR website!2y-5x<13 2y<5x+13 y<5x/2 +13/2 assume an = sign for finding the values of x ,y plug three or more values of x (say 1,2,3) and calculate y.. Plot the points xy and draw a line. since y < something all values below the line will be the solution for the inequality ..
 Rectangles/349086: I Believe Its 17 But Im Not Shure. Please Help? A rectangle has a length of 15 feet and a width of 8 feet. How long is a diagonal of this rectangle?1 solutions Answer 249514 by mananth(12270)   on 2010-09-28 08:58:17 (Show Source): You can put this solution on YOUR website!diagonal is the hypotenuse and length & width are the legs 15^2+8^2= diagonal ^2 225+64=289= diagonal^2 Diagonal = sqrt 289 = 17 feet
 Age_Word_Problems/349090: Gideon is 30 yrs. younger than father. His mother is 3 times as old as his son. Find Gideons age if his father is 2 yrs. older than his mother.1 solutions Answer 249512 by mananth(12270)   on 2010-09-28 08:53:50 (Show Source): You can put this solution on YOUR website!let father be x years Gideon = x-30 .. Mother = 3(x-30) ... x=3(x-30)+2 x=3x-90+2 3x-x=90-2 2x=88 x= 44 fathers age Gideon = 44-30 =14 years
 Expressions-with-variables/349061: Jeorge is 3 years older than his sister Janet.In 7 years she will be six-seven of his age.How old are they?1 solutions Answer 249504 by mananth(12270)   on 2010-09-28 06:46:10 (Show Source): You can put this solution on YOUR website!sister =x Jeorge = x+3 .. 7 years hence sister = x+7 jeorge = x+3+7=x+10 .. x+7 = 6(x+10)/7 7(x+7)=6(x+10) 7x+49=6x+60 7x-6x=60-49 x=11 sister's age ..s Jeorge 11+3 =14 year
 Expressions-with-variables/349062: Find a two digit number such that the tens digit exceeds the unit digit by 3 and the number is 4 less than the sum of the squares of its digits.1 solutions Answer 249503 by mananth(12270)   on 2010-09-28 06:29:01 (Show Source): You can put this solution on YOUR website!let units digit be y ten's digit be x ... x=y+3 x-y=3 ... 10x+y= x^2+y^2-4 x^2+y^2-y-10x-4 =0 plug value of x (y+3)^2+y^2-y-10(y+3)-4=0 y^2+6y+9+y^2-y-10y-30-4=0 2y^2-5y-25=0 2y^2-10y+5y-25=0 2y(y-5)+5(y-5)=0 (2y+5)(y-5)=0 y=5 x=8 the number is 85
 Word_Problems_With_Coins/349034: i have 30 coins in my pocket, some dimes, twice as many nickels, and the rest quareters. the total value is \$5.30. how many dimes do i have?1 solutions Answer 249502 by mananth(12270)   on 2010-09-28 06:21:07 (Show Source): You can put this solution on YOUR website!dimes=x nickels=2x quarters = 30-(x+2x) =30-3x. .. 10x+5*2x+25(30-3x)=530 10x+10x+750-75x=530 -55x=530-750 -55x=-220 x=4 dimes nickels = 2*4 =8 quarters = 30-3*4= 18 ... 4*10+8*5+18*25=530
 Graphs/349047: graph 2y=-6x+201 solutions Answer 249501 by mananth(12270)   on 2010-09-28 06:07:55 (Show Source): You can put this solution on YOUR website!2y=-6x+20 y=-6/2 x +20 y=-3x+10 find values for y for 3 values of x say x=1,2,3 plot the points (x,y) to get a graph similar to one below
 Quadratic_Equations/349059: i need to solve this quadratic equation with checking: (x)/(x+1)+(2)/(x)=(1) Thanks!1 solutions Answer 249500 by mananth(12270)   on 2010-09-28 06:01:39 (Show Source): You can put this solution on YOUR website! LCD = x(x+1) x*x +2(x+1) /x(x+1)=1 x^2+2x+2/x(x+1)=1 x^2+2x+2 = x^2+x 2x-x=-2 x=-2 ... plug the value of x