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# Recent problems solved by 'mananth'

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 Miscellaneous_Word_Problems/560198: A mother wants to invest \$12000 for her children's education. She invests a portion of the money in a bank certificate of deposit (CD sccount) which earns 4% and the remainder in a savings bond that earns 7%. If the total interest earned after one year is \$720, how much money was invested at each rate?1 solutions Answer 363741 by mananth(12270)   on 2012-01-20 19:43:41 (Show Source):
 Expressions-with-variables/559955: 2x-y=16 and -x+2y=-81 solutions Answer 363599 by mananth(12270)   on 2012-01-20 08:33:18 (Show Source): You can put this solution on YOUR website!2 x -1 y = 16 .............1 -1 x + 2 y = -8 .............2 Eliminate y multiply (1)by 2 Multiply (2) by 1 4 x -2 y = 32 -1 x 2 y = -8 Add the two equations 3 x = 24 / 3 x = 8 plug value of x in (1) 2 x + -1 y = 16 16 + -1 y = 16 -1 y = 16 -16 -1 y = 0 y = 0
 Numbers_Word_Problems/559974: The Length of a rectangular room is 2 feet longer than twice the width. If the room's perimeter is 136 feet, what are the room's dimensions?1 solutions Answer 363597 by mananth(12270)   on 2012-01-20 08:29:45 (Show Source): You can put this solution on YOUR website!Perimeter = 136 Length (2x+2) Width =x ft Perimeter = 2(2x+2)+x) Perimeter = 2(2x+2 +x) Perimeter =4x+4+2x 136=6x+4 136-=6x 136-4=6x 132=6x x=22 ft Width Length= 46
 test/559966: I have a test but I dont understand. 12x2 + 16x/ 15x2 +201 solutions Answer 363593 by mananth(12270)   on 2012-01-20 08:23:41 (Show Source): You can put this solution on YOUR website! (3x+4) cancels off
 Miscellaneous_Word_Problems/559817: Hi, my name is Courtney. May you help me with this problem, I can not figure this out. (One number is 28 more than three times another number. If each number were multiplied by four, their difference would be 232. What are the numbers?). Thank you.1 solutions Answer 363529 by mananth(12270)   on 2012-01-19 20:39:59 (Show Source): You can put this solution on YOUR website!let the number be x other number = 3x+28 4(3x+28)-4x=232 12x+112-4x=232 8x+112=232 8x=232-112 8x=120 /8 x=15 one number is 15 other number is 3x+28 3*15+28 73 the numbers are 15 & 73
 Age_Word_Problems/559816: Emily is 6 times as old as her daughter. Next year she will be 5 times her daughter's age. find the present age of each and check the answer1 solutions Answer 363527 by mananth(12270)   on 2012-01-19 20:34:57 (Show Source): You can put this solution on YOUR website!daughter = x emily = 6x after 1 year daughter = (x+1) Emily = (6x+1) 6x+1=5(x+1) 6x+1=5x+5 6x-5x=5-1 x=4 daughter's age Emily = 6x= 24 years
 Graphs/559811: -5x+4y=20 how to graph this1 solutions Answer 363526 by mananth(12270)   on 2012-01-19 20:31:48 (Show Source): You can put this solution on YOUR website!-5x+4y=20 equation1 when x= 0,y=5,(0,5) when y =0,x=-4, (-4,0)
 Linear-equations/559808: what is the x=y+8 5x+3y+12 i dont get systems of linear equations using substitution ive tryed x=y+8 8+x -y but i mean i still dont get it1 solutions Answer 363525 by mananth(12270)   on 2012-01-19 20:23:27 (Show Source): You can put this solution on YOUR website! x=y+8 OR y=x-8.................(1) 5x+3y=12 ................(2) 5x+3y=12 .............1 y=-8+x ---------2 Substitute y in (1) 5x+3(-8+x)=12 5x-24+3x=12 5x+3x=12+24 8x=36 / 8 x= 4.5 Plug the value of x in (1) 5x+3y=12 5*4.5+3y=12 22.5+3y =12 3y=-10.5 /3 y=-3.5 m.ananth@hotmail.ca
 Miscellaneous_Word_Problems/559792: Fran and Jenny run a child care service because they use Fran's house, Fran earns \$150 more each month than Jenny. How much money (m) will Jenny earn in a month when the service takes in \$2300? a. equation b. solution1 solutions Answer 363520 by mananth(12270)   on 2012-01-19 20:07:18 (Show Source): You can put this solution on YOUR website!jenny earns x Fran earns x+150 Total 2300 x+x+150=2300 2x+150=2300 2x=2150 /2 x=1075 Jenny earns \$1075 Fran earns 1075+150=\$1225
 Linear-equations/559784: what equation is parallel to y=1/2x-5 that goes through the points (6,-8) Please Help.1 solutions Answer 363518 by mananth(12270)   on 2012-01-19 20:03:08 (Show Source): You can put this solution on YOUR website!y = 0.5x-5 Compare this equation with y=mx+b slope m = 1/ 2 The slope of a line parallel to the above line will be the same The slope of the required line will be 1/ 2 m= 1/ 2 ,point (6,-8) Find b by plugging the values of m & the point in y=mx+b -8 = 3 + b b= -11 m= 1/2 Plug value of the slope and b in y = mx +b The required equation isy = 1/2 x -11 m.ananth@hotmail.ca
 Geometry_Word_Problems/559767: You are standing 45 feet away from a tree. To see the top of the tree you must look up at a 75° angle. How tall is the tree to the nearest tenth?1 solutions Answer 363517 by mananth(12270)   on 2012-01-19 19:58:41 (Show Source): You can put this solution on YOUR website!Tan = 75 adjacent side = 45 height of tree = 3.73*45=168 feet
 Numeric_Fractions/559444: a wheel made 451 revolutions at 31 6/7 revolutins per minute, how many minutes did it rotate?1 solutions Answer 363418 by mananth(12270)   on 2012-01-19 08:05:32 (Show Source): You can put this solution on YOUR website!451/ 31 (6/7) 451/(227/7) 451*7/227 (451 * 7) / 227 = 13.9 minutes
 Angles/559435: what type of triangle has two congruent sides and two angles measuring 45 degrees1 solutions Answer 363417 by mananth(12270)   on 2012-01-19 07:59:13 (Show Source): You can put this solution on YOUR website!Isoscles right triangle
 Rectangles/559437: the perimeter of a rectanlge is 50 feet. the length is 5 more than the width. find the area of the rectangle 1 solutions Answer 363416 by mananth(12270)   on 2012-01-19 07:58:10 (Show Source): You can put this solution on YOUR website!width =x length = x+5 perimeter = 2*(L+W) =2(x+x+5) =2(2x+5) =4x+10 4x+10=50 4x=50-10 4x=40 /4 x=10 feet the width length = 10 +5 = 15 ft Area = L*W =10*15= 150 sq. ft
 Volume/559442: Volume is 1350cm = Base Area 150cm x height X 1 solutions Answer 363415 by mananth(12270)   on 2012-01-19 07:55:38 (Show Source): You can put this solution on YOUR website!1350/150 = height height = 9 cm
 Equations/559443: PLEASE HELP ME SOLVE THIS EQUATION : 8y-35=3y1 solutions Answer 363414 by mananth(12270)   on 2012-01-19 07:54:33 (Show Source): You can put this solution on YOUR website!8y-35=3y add -3y to both sides 8y-3y-35=3y-3y 5y-35=0 add 35 5y=35 /5 y=35/5 y=7
 Pythagorean-theorem/559439: can you find the distance between the following points using the Pythagorean theorem: (-4, -9), (-11, -9)1 solutions Answer 363413 by mananth(12270)   on 2012-01-19 07:52:57 (Show Source): You can put this solution on YOUR website!Distance between two points x1 y1 x2 y2 d= -4 -9 -11 -9 d= d= d= d= 7.00
 Linear-equations/559440: please help me to solve this "write the linear equations satisfying the following conditions (2,3) parallel to the line whose equation is 4x=2y=1 1 solutions Answer 363412 by mananth(12270)   on 2012-01-19 07:50:06 (Show Source): You can put this solution on YOUR website!is it 4x=2y+1 Or 4x+2y=1
 Angles/559406: how much does a triangle measure? 1 solutions Answer 363411 by mananth(12270)   on 2012-01-19 07:48:02 (Show Source): You can put this solution on YOUR website!The sum of all angles of a triangle = 180 degrees
 Equations/559425: I need some help. It simply says find the solutions but I am not sure what method it is asking me to solve it with. I don't know if it means solve using the quadratic equation or if there is some other way I am suppose to be doing it. Please help! Thanks. Find the solutions: 4) (m+3)^2 + 5(m+3) –14 = 0 5) (2x-1)^2 –4(2x-1) + 2 = 0 1 solutions Answer 363408 by mananth(12270)   on 2012-01-19 06:52:31 (Show Source): You can put this solution on YOUR website!(m+3)^2 + 5(m+3) –14 = 0 using the quadratic eqaution (m+3)^2+7(m+3)-2(m+3)-14=0 (m+3)(m+3+7)-2(m+3+7)=0 (m+3)(m+10)-2(m+10)=0 (m+10)(m+3-2)=0 (m+10)(m+1)=0 m=-10 OR -1
 Graphs/559412: I need help please! I don't understand this. The problem is: 7x+2y= 10 -7x+y= -161 solutions Answer 363403 by mananth(12270)   on 2012-01-19 01:42:59 (Show Source): You can put this solution on YOUR website!7 x + 2 y = 10 .............1 -7 x + 1 y = -16 .............2 Eliminate y multiply (1)by 1 Multiply (2) by -2 7x+2y=10 14x-2y= 32 Add the two equations 21x=42 /21 x=2 plug value of x in (1) 7 x + 2 y = 10 14 + 2 y = 10 2 y = 10-14 2 y = -4 y = -2 m.ananth@hotmail.ca
 Mixture_Word_Problems/559380: A 8-quart radiator contains a 60% antifreeze solution. How much of the solution needs to be drained out and replaced with pure antifreeze in order to raise the solution to 80% antifreeze?1 solutions Answer 363402 by mananth(12270)   on 2012-01-19 01:40:30 (Show Source): You can put this solution on YOUR website!you have 60% solution you have to add 100% antifreeze to get 80% solution so we find out how much antifreeze is required to raise ti 80% This quantity is to be replaced percent ---------------- quantity Antifreeze 100 ----------------x quarts solution 60 ----------------5-x quarts Mixture 80.00% ---------------- 5 100x+60(5-x)=80*5 100x+300-60x=400 100x-60 x=400-300 40x= 100 / 40 x=2.5 quarts 100.00% Antifreeze 2.5 quarts 60.00% solution 2.5 quarts has to be removed m.ananth@hotmail.ca
 Word_Problems_With_Coins/559391: Okay I sort if need help on this word problem, thank you for helping. (Word problem) Bob took his quarters and dimes to the bank. He knew he had 500 coins. The teller counted his coins and said his deposit would be for \$65.00. How many quarters did Bob deposit.1 solutions Answer 363401 by mananth(12270)   on 2012-01-19 01:34:47 (Show Source): You can put this solution on YOUR website!Quarters---------x numbers Dimes-----------y numbers x+y= 500 .............1 25x+10y =6500 .............2 (convert \$65 into cents) Eliminate y multiply (1)by -10 Multiply (2) by 1 -10x-10y=-5000 25x+10y =6500 Add the two equations 15 x = 1500 / 15 x = 100 plug value of x in (1) 1 x + 1 y = 500 100 + 1 y = 500 1 y = 500 -100 1 y = 400 y = 400 Quarters 100 numbers Dimes 400 numbers m.ananth@hotmail.ca
 Graphs/559409: I don't understand solving equations. The problem is: 3x+2y= -9 -10x+5y= -5 1 solutions Answer 363399 by mananth(12270)   on 2012-01-19 01:29:23 (Show Source): You can put this solution on YOUR website!3x+2y=-9 .............1 -10x+5y =-5 .............2 Eliminate y multiply (1)by -5 Multiply (2) by 2 -15x-10y=45 -20x+10 y=-10 Add the two equations -35x=35 / -35 x = -1 plug value of x in (1) 3 x + 2 y = -9 -3 + 2 y = -9 2 y = -9 + 3 2 y = -6 y = -3
 Systems-of-equations/559401: a-2b=2 a+b=2(b+3) solve the system by linear combination method1 solutions Answer 363398 by mananth(12270)   on 2012-01-19 01:26:27 (Show Source): You can put this solution on YOUR website!a-2b=2.................(1) a+b=2(b+3) a+b=2b+6 a-b=6..................(2) a-2b= 2 a-b= 6 Eliminate y multiply (1)by -1 Multiply (2) by 2 -a+2b=-2 2a-2b=12 Add the two equations a = 10 plug value of a in (1) 1 a + -2 b = 2 10 + -2 b = 2 -2 b = 2 -2 b = -8 b = 4.00
 Triangles/559373: the hypotenuse of an isosceles right triangle has a length of 6. the perimeter of the triangle is?1 solutions Answer 363388 by mananth(12270)   on 2012-01-18 23:02:44 (Show Source): You can put this solution on YOUR website!legs of traingle are equal let them be x each pythagoras theorem x^2+x^2=6^2 2x^2=36 /2 x^2=18 The perimeter = = = = m.ananth@hotmail.ca
 Angles/559374: what is the measure of an angle complementary to a 64 angle?1 solutions Answer 363385 by mananth(12270)   on 2012-01-18 22:57:57 (Show Source): You can put this solution on YOUR website!90-64 = 26 deg sum of complementary angles = 90 degrees
 Travel_Word_Problems/559330: if helen can ride 15km on her bike in the same time it takes her to walk 6km. If her rate riding is 6km/h faster than her rate walking how fast does she walk?1 solutions Answer 363383 by mananth(12270)   on 2012-01-18 22:57:03 (Show Source): You can put this solution on YOUR website!walking speed = x km/h riding speed = x+6 km/h distance riding = 15 and distance walking = 6 time riding = 15/(x+6) time walking = 6/x both are same 6/x = 15/(x+6) cross multiply 6(x+6)=15x 6x+36=15x 9x=36 /9 x=4 walking speed = 4km/h riding speed = 6+4 = 10 km/h m.ananth@hotmail.ca
 Rectangles/559361: Solve (2x+5)(6x-1)=1201 solutions Answer 363382 by mananth(12270)   on 2012-01-18 22:52:16 (Show Source): You can put this solution on YOUR website!(2x+5)(6x-1)=120 2x(6x-1)+5(6x-1)=120 12x^2-2x+30x-5=120 12x^2+28x-5-120=0 12x^2+28x-125=0 Find the roots of the equation by quadratic formula a= 12 , b= 28 , c= -25 b^2-4ac= 784 + 1200 b^2-4ac= 1984 x1=( -28 + 44.54 )/ 24 x1= 0.69 x2=( -28 -44.54 ) / 24 x2= -3.02
 Mixture_Word_Problems/559364: Soybean meal is 18 percent protein, cornmeal is 9 percent protein. how many pounds of each should be mixed together in order to get 360 pound mixture that is 10 percent protein? 1 solutions Answer 363380 by mananth(12270)   on 2012-01-18 22:48:39 (Show Source): You can put this solution on YOUR website!percent ---------------- quantity Soyabean 18 ---------------- x pounds Corn meal 9 ---------------- 360 - x pounds Mixture 10.00% ---------------- 360 18x+9(360-x)=10 *360 18x+3240-9x=3600 18x-9x=3600-3240 9x= 360 /9 x=40 40 pounds 18.00% Soyabean 320 pounds 9.00% Corn meal m.ananth@hotmail.ca