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# Recent problems solved by 'mananth'

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 Polynomials-and-rational-expressions/383474: perimeter of a rectangle is 420 inches.The width is 4 inches less than the length. What is the length? 1 solutions Answer 271503 by mananth(12270)   on 2010-12-09 01:07:58 (Show Source): You can put this solution on YOUR website!length = x width = x-4 .. 2*(L+W)=perimeter 2*(x+x-4)=420 2*(2x-4)=420 /2 2x-4 = 210 add +4 to both sides 2x=214 /2 x= 107inches the length width = 103 inches ... m.ananth@hotmail.ca
 Expressions-with-variables/383469: Find three consecutive numbers whose sum is 90.1 solutions Answer 271501 by mananth(12270)   on 2010-12-09 01:04:45 (Show Source): You can put this solution on YOUR website!let the numbers be x,x+1,x+2 ... x+x+1+x+2=90 3x+3=90 -3 -3 3x=87 /3 x= 87/3 x=29 (29.30.31) are the numbers .. m.ananth@hotmail.ca
 Expressions-with-variables/383470: Find a number which is 130 greater than its opposite. 1 solutions Answer 271499 by mananth(12270)   on 2010-12-09 01:00:57 (Show Source): You can put this solution on YOUR website!let x be the number x>-x+130 add x x+x>130 2x>130 x>65 ...
 Quadratic_Equations/383468: x2-3x+2=0 Tell if the equation has two solutions,one solution, or no real solution. -3x2 + 5x - 1 = 0 6x2 - 2x + 4 = 0 1 solutions Answer 271498 by mananth(12270)   on 2010-12-09 00:58:53 (Show Source): You can put this solution on YOUR website!-3x2 + 5x - 1 = 0 solve for x using quadratic formula .. discriminant = 13 .. x1= x1=0.232 x2= x2=1.434 .. 6x2 - 2x + 4 = 0 6x^2-6x+4x solve for x using quadratic formula .. discriminant = -92 discriminant is negative so no real roots. ... m.ananth@hotmail.ca
 Expressions-with-variables/383466: Can anyone explain how to solve this problem: 24x + 5= 12x + 41. I need to see the work so I can understand the process.1 solutions Answer 271497 by mananth(12270)   on 2010-12-09 00:42:56 (Show Source): You can put this solution on YOUR website!24x + 5= 12x + 41 ... we have to bring the terms on one side & the constants to the other side of the equal sign shift 5 to the right side add -5 to both sides 24x+5-5 = 12x+41-5 24x=12x+36 .. shift 12x to the left side add -12x to both sides 24x-12x=12x-12x+36 12x=36 .. divide by 12 to keep only x on the left side 12x/12 = 36/12 x=3 ... m.ananth@hotmail.ca
 Numeric_Fractions/383444: the sum of the length and girth of a rectangular box must be smaller than 96 inches. If the girth is one half the length, what is the length? 1 solutions Answer 271496 by mananth(12270)   on 2010-12-09 00:32:00 (Show Source): You can put this solution on YOUR website!l+g<96 ... g= l/2 .. plug g l+l/2 <96 (2l+l)/2<96 multiply by 2 2(3l)<96*2 6l<192 /6 l<32 ... m.ananth@hotmail.ca
 Linear-equations/383463: how do I solve slope 4; y intercept (0, -3/5) ?1 solutions Answer 271495 by mananth(12270)   on 2010-12-09 00:27:04 (Show Source): You can put this solution on YOUR website!slope m= 4 y intercept b= -3/5 ... y= mx+b y=4x-3/5
 Miscellaneous_Word_Problems/383461: jim can fill a pool carring buckets of waterin 30 minutes sue can do the same in 45 minutes, Tony can do the same job in 1 1/2 hour. How quickly can all three fill the pool together1 solutions Answer 271494 by mananth(12270)   on 2010-12-09 00:11:13 (Show Source): You can put this solution on YOUR website!jim can fill a pool carring buckets of waterin 30 minutes sue can do the same in 45 minutes, Tony can do the same job in 1 1/2 hour. How quickly can all three fill the pool together ... jim can fill a pool- 30 minutes sue can do the same in 45 minutes, Tony can do the same job in 1 1/2 hour. =90 minutes ... jim does 1/30 of job in 1 minute sue does 1/45 of the job in 1 minute Tony can do 1/90 of the job in 1 minute .. Together they can do of the job in 1 minute LCD = 180 ... = so they can do the job in minutes ... m.ananth@hotmail.ca
 Polynomials-and-rational-expressions/383460: How would I solve this problem: 3x+2/2=7 I also need to show a check on it.1 solutions Answer 271493 by mananth(12270)   on 2010-12-09 00:03:34 (Show Source): You can put this solution on YOUR website! multiply by 2 ... .. 3x+2=14 ... -2 -2 3x+2-2= 14-2 3x=12 /3 x= 12/3 ... m.ananth@hotmail.ca
 Graphs/383440: sketch the graph of the following and determined what kind of systemi in each.if the system is consistent determine the coordinates of the following point of interaction. 2x-4y=0 x-y=91 solutions Answer 271489 by mananth(12270)   on 2010-12-08 23:58:14 (Show Source): You can put this solution on YOUR website!2x-4y=0................1 x-y=9..................2 .. multiply (2) by -2 -2x+2y=-18 add this to (1) 2x-2x-4y2y=-18 -2y=-18 /-2 y = -18/-2 y = 9 ... plug the value of y in (2) x-y =9 x-9 = 9 +9 +9 x= 9+9 x=(9+9) x=18 ... ... m.ananth@hotmail.ca
 Equations/383455: Problem: b+9+b-2. Is this equal to 2b+7? If so how would I show my work and if not, what is the correct answer?1 solutions Answer 271484 by mananth(12270)   on 2010-12-08 23:46:28 (Show Source): You can put this solution on YOUR website!b+9+b-2 group the like terms & the constants b+b+9-2 =2b+7
 real-numbers/383456: Dividing by n is the same as multiplying by _______.1 solutions Answer 271483 by mananth(12270)   on 2010-12-08 23:44:37 (Show Source): You can put this solution on YOUR website!multiplying by
 Quadratic_Equations/383453: The area of a triangle is given by the equation h²+4h= 192, where h is the height of the triangle. What is the height of the triangle? How do you solve this? Step by step please1 solutions Answer 271482 by mananth(12270)   on 2010-12-08 23:43:39 (Show Source): You can put this solution on YOUR website!area of a triangle is given by the equation h²+4h= 192, ... -192 h^2+4h-192=192-192 h^2+4h-192=0 h^2+16h-12h-192=0 h(h+160-12(h+16)=0 (h+16)(h-12)=0 h=-16 OR h = 12 Ignore negative ... m.ananth@hotmail.ca
 Travel_Word_Problems/383447: A boat traveling at 10 mph can go 20 miles against a current in the same time it can go 60 miles with the current. How fast is the current of this river?1 solutions Answer 271480 by mananth(12270)   on 2010-12-08 23:39:20 (Show Source): You can put this solution on YOUR website!let current rate = xmph rate upstream = 10-x .. time upstream = 20/(10-x) .... time downstream = 60/(10+x) .. time downstream = time upstream 20/(10-x)= 60/(10+x) cross multiply 20(10+x)=60(10-x) 200+20x=600-60x 80x=400 /80 x=400/80 x= 5 mph ... m.ananth@hotmail.ca
 Rectangles/383338: The length of a rectangle is three times the width, if the perimeter is 64 meters. Find the dimension of a rectangle. Show all work.1 solutions Answer 271445 by mananth(12270)   on 2010-12-08 20:21:12 (Show Source): You can put this solution on YOUR website!width = x length = 3x ... 2*(l+w)=perimeter 2*(x+3x)=64 2*4x=64 8x=64 /8 x= 8 meters length = 3x =3*8=24 meters .. m.ananth@hotmail.ca
 Geometry_Word_Problems/383341: The perimeter of a triangle is consecutive integers. If the perimeter is 51, find the dimension of the triangle.1 solutions Answer 271443 by mananth(12270)   on 2010-12-08 20:18:17 (Show Source): You can put this solution on YOUR website!x, x+1,x+2 are the sides .. x+x+1+x+2= 51 3x+3=51 -3 3x=51-3 3x=48 /3 x= 16 .. the sides are 16,17,18 ... m.ananth@hotmail.ca
 Radicals/383252: Please help me simplify this equation sqrt( 32 ) * sqrt( 24 )1 solutions Answer 271442 by mananth(12270)   on 2010-12-08 20:15:28 (Show Source): You can put this solution on YOUR website! ... ... ... ... = ... m.ananth@hotmail.ca
 Age_Word_Problems/383330: How many years does it take a 25 year old to be 3 times the age of a 13 year old1 solutions Answer 271439 by mananth(12270)   on 2010-12-08 20:04:44 (Show Source): You can put this solution on YOUR website!A' age= 13 years B's age = 25 years ... After x years A= x+13 B= x+25 ... x+25 = 2(x+13) x+25 = 2x+26 2x-x= 26-25 x= 1 ... m.ananth@hotmail.ca
 Numbers_Word_Problems/383327: The sum of three consecutive even integers is 210. Find the integers.1 solutions Answer 271438 by mananth(12270)   on 2010-12-08 20:01:30 (Show Source): You can put this solution on YOUR website!let the integers be x,x+2,x+4 .. Their sum = 210 3x+6 = 210 -6 3x=210-6 3x=204 /3 x= 68 ... 68,70,72 ... m.ananth@hotmail.ca
 Quadratic_Equations/383325: five times a number decreased by 6 is equal to the number squared? what is the number?1 solutions Answer 271437 by mananth(12270)   on 2010-12-08 19:57:24 (Show Source): You can put this solution on YOUR website!five times a number decreased by 6 is equal to the number squared? what is the number? ... let number be x 5x-6 = x^2 +6 5x=x^2+6 -5x x^2-5x+6=0 (x-6)(x+1)=0 x= 6 OR x=-1 ... m.ananth@hotmail.ca
 Money_Word_Problems/383304: joe has twice as many 10 dollar bills as 5 dollar bills. he has a total of \$500. how many % dollar bills does joe have? 5 dollar bills.1 solutions Answer 271435 by mananth(12270)   on 2010-12-08 19:54:32 (Show Source): You can put this solution on YOUR website!joe has twice as many 10 dollar bills as 5 dollar bills. he has a total of \$500. how many % dollar bills does joe have? 5 dollar bills. ... let \$ 5 bills be x \$10 bills = 2x .. 5x+10*2x=500 5x+20x=500 25x=500 /25 x= 500/25 x=20 \$5 20 bills \$10 40 bills ... m.ananth@hotmail.ca
 Miscellaneous_Word_Problems/383312: Please help me by writing this out step per step so I can understand and see how it is done. I do not understand this. Reduce the rational expression to the lowest terms. Assume that the variables represent only numbers for which the denominators are nonzero. a^2-b^2/a-b I hope there is someone who can help me do this. Thank you!1 solutions Answer 271427 by mananth(12270)   on 2010-12-08 19:41:50 (Show Source): You can put this solution on YOUR website! ... use the difference of squares formula. ... ... ... ... m.ananth@hotmail.ca
 Travel_Word_Problems/383276: if a car is traveling at 80feet/second, how many miles per hour is it traveling?1 solutions Answer 271415 by mananth(12270)   on 2010-12-08 19:26:00 (Show Source): You can put this solution on YOUR website! ... ... ... = 54.5 mph ... ... m.ananth@hotmail.ca
 Quadratic_Equations/383279: An object is dropped from the top of a tower.The formula s=4.9t∧2 gives the distance in meters(s) that the object falls in T seconds.How many seconds will it take the object to fall 122.5 m?1 solutions Answer 271411 by mananth(12270)   on 2010-12-08 19:14:39 (Show Source): You can put this solution on YOUR website! ... .. substitute the value os s =122.5 ... m.ananth@hotmail.ca
 Word_Problems_With_Coins/383277: A certin number of nickels, dimes and quarters make up 80 cents. There are an equal number of each type of coin. How many of each are there1 solutions Answer 271408 by mananth(12270)   on 2010-12-08 19:09:52 (Show Source): You can put this solution on YOUR website!let each type of coin be x .. 5x+10x+25x=80 40x=80 /40 x= 2 ... ,,, m.ananth@hotmail.ca
 Word_Problems_With_Coins/382851: a cheetah has been observed to run 72mph. how many feet per second does the cheetah run?( 1 mile=52801 solutions Answer 271226 by mananth(12270)   on 2010-12-08 05:29:26 (Show Source): You can put this solution on YOUR website!72 miles /hour .. ... 105.6 feet/second ... m.ananth@hotmail.ca
 Polynomials-and-rational-expressions/382854: what is the quotient of 25^3-y^3 divided by 5x-y? a^2+ 12ab+36b^2 divided by 6b+a?1 solutions Answer 271225 by mananth(12270)   on 2010-12-08 05:25:13 (Show Source): You can put this solution on YOUR website!25x^3-y^3 divided by 5x-y ... ... ... ... ... a^2+ 12ab+36b^2 divided by 6b+a ... ... m.ananth@hotmail.ca
 Graphs/382855: Graph 3x+y<41 solutions Answer 271224 by mananth(12270)   on 2010-12-08 05:14:08 (Show Source): You can put this solution on YOUR website!3x+y<4 -3x -3x y<(-3x+4) ... The boundary ... ... y<(-3x+4) All the values in the shaded area can be solutions for the inequality. .. m.ananth@hotmail.ca
 Linear-equations/382801: Write an equation of the line containing the given point and parallel of the given line. Express your answer in the form y=mx+b (-7,9);6x=7y+31 solutions Answer 271223 by mananth(12270)   on 2010-12-08 02:25:56 (Show Source): You can put this solution on YOUR website!(-7,9);6x=7y+3 ... 6x=7y+3 7y=6x-3 /7 y =6x/7 -3/7 .. compare with y =mx+b m= 6/7 .. parallel line will have same slope (-7,9); Plug the values in y=mx+b 6*-7=7*6/7 +b -42=6+b b=-48 Equation ... ... m.ananth@hotmail.ca
 Mixture_Word_Problems/382808: How much coffee costing \$3 a pound should be mixed with 5 pounds of coffee costing \$3.50 a pound obtain a mixture costing \$3.25 a pound?1 solutions Answer 271222 by mananth(12270)   on 2010-12-08 02:15:34 (Show Source): You can put this solution on YOUR website!coffee \$3 a pound x pounds 5 pounds of coffee costing \$3.50 mixture costing \$3.25 a pound -----x+5 pounds ... 3x+3.50*5=3.25(x+5) 3x+17.50=3.25x+16.25 3.25x-3x=17.50-16.25 0.25x=1.25 /0.25 x=1.25/0.25 x= 5 pounds of \$ 3 coffee ...m.annath@hotmail.ca
 Geometry_Word_Problems/382803: find the length of the hypotenuse of a right triangle if one leg is 12 inches and the other leg is 5 inches less then the hypotenus1 solutions Answer 271221 by mananth(12270)   on 2010-12-08 02:09:00 (Show Source): You can put this solution on YOUR website!Pythagoras theorem a^2+b^2=c^2 a= leg1 b=leg2 c= hypotenuse ... 5^2+12^2=hypotenuse^2 25+144=h^2 169=h^2 square root on both sides 13 = h .. Hypotenuse = 13 inches ... m.ananth@hotmail.ca