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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 lnear 1 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^3 1 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 number 1 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 = 6 1 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

Evaluation_Word_Problems/349434: Alexis made 210 sugar cookies and oatmeal cookies for the seventh grade party. Six out of 10 cookies were sugar cookies. How many of the cookies were sugar cookies? 1 solutions Answer 249760 by mananth(12270)   on 2010-09-28 20:37:49 (Show Source): You can put this solution on YOUR website! Total 210 cookies 6/10 were sugar cookies 6/10*210 =6*21 =126 were sugar cookies

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 rectangle 1 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 8 1 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<13 1 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+20 1 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