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mananth answered: 12270 problems
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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 together 1 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=9 1 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 please 1 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 old 1 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 there 1 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=5280 1 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<4 1 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+3 1 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 hypotenus 1 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