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# Recent problems solved by 'mananth'

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 Travel_Word_Problems/323611: find the distance traveled if you are going 38 miles per hour for 2 hours. (the answer will be in miles) 1 solutions Answer 231551 by mananth(12270)   on 2010-07-19 08:21:48 (Show Source): You can put this solution on YOUR website!Distance traveled = Rate * time rate = 38 mph time = 2hours Distance traveled in 2 hours = 38*2= 76 miles
 Finance/323610: Please help set up and solve this problem. Thank you. A picture frame has a length l = 13 inches and the height of h= 11 inches. If the frame width is x inches, write and expression for the display area of the frame. I know that A=LW1 solutions Answer 231549 by mananth(12270)   on 2010-07-19 08:20:22 (Show Source): You can put this solution on YOUR website!A picture frame has a length l = 13 inches and the height of h= 11 inches. If the frame width is x inches, write and expression for the display area of the frame. L=13 h=11 .. x is the width on both sides so you have to subtract x+x to get the length and breadth of the display area .. display area length will be 13-2x display area height = 11-2x .. Area of display area = (13-2x)(11-2x)
 Angles/323558: A cylindrical drum has a diameter of 4 yards and a volume of 63 cubic cubic yards. What is the height of the drum? (Hint: Use V = пr2h) (Points :5) 1 solutions Answer 231537 by mananth(12270)   on 2010-07-19 05:44:38 (Show Source): You can put this solution on YOUR website!V= pi*r^2*h r=2 yards V= 63 cu.yards .. 63= pi*2^2*h 63/(4*pi)= h height = 5.01 yards
 Polynomials-and-rational-expressions/323574: can you help me solve 2x-1/x+3 - 3x-7/2x+11 solutions Answer 231536 by mananth(12270)   on 2010-07-19 05:36:19 (Show Source): You can put this solution on YOUR website!2x-1/x+3 - 3x-7/2x+1 .. LCM = (x+3)(2x+1) (2x-1)(2x+1)-(3x-7)(x+3) / (x+3)(2x+1) 4x^2-1 -( 3x^2+2x-21) / (x+3)(2x+1) 4x^2-1-3x^2-2x+21 /(x+3)(2x+1) x^2-2x+20 / (x+3)(2x+1)
 Geometric_formulas/323561: what is the area of an isosceles right triangle with hypotenuse 6 square root of 2 1 solutions Answer 231535 by mananth(12270)   on 2010-07-19 05:22:21 (Show Source): You can put this solution on YOUR website!let side be x x^2+x^2= 6sqrt2 2x^2= 6sqrt2 x^2= 6/2 sqrt2 x^2=3sqrt2 .. Area of triange = 1/2* base * height Area = 1/2 * x*x ( isoscles triangle) area = 1/2 x^2 plug the value of x^2 area = 1/2* 3 sqrt2 area = 3/ sqrt2
 Graphs/323568: Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. A plane flies 400 miles with the wind and 300 miles against the wind in the same length of time. If the speed of the wind is 22 mph, what is the speed of the plane in still air? I don't know where to begin with this problem.... Please Help.1 solutions Answer 231534 by mananth(12270)   on 2010-07-19 05:11:42 (Show Source): You can put this solution on YOUR website!A plane flies 400 miles with the wind and 300 miles against the wind in the same length of time. If the speed of the wind is 22 mph, what is the speed of the plane in still air? let speed in still air be xmph .. speed with wind will be x+22 mph it goes 400 miles speed against wind will be x-22 . it goes 300 miles. time taken is the same .. 400/ x+22 = 300/ x-22 400*(x-22)=300(x+22) 400x-8800=300x-6600 100x=15000 x=150 mph the speed of plane in still air
 Mixture_Word_Problems/323578: A plank can be sawn exactly into pieces 1 meter long, 1.5 m long or 2 m long. Find the least possible length of the plank.1 solutions Answer 231533 by mananth(12270)   on 2010-07-19 05:05:10 (Show Source): You can put this solution on YOUR website!pieces 1 meter long, 1.5 m long or 2 m long. Find the least possible length of the plank. .. least possible length will be LCM of 1,1.5,2 =3 The least size will be 3 meters, from which all these sizes can be cut
 test/323582: (1/4)^3+(17/32)-(1/2)*(1/8)^2 these are fractions and exponents1 solutions Answer 231532 by mananth(12270)   on 2010-07-19 05:02:08 (Show Source): You can put this solution on YOUR website!(1/4)^3+(17/32)-(1/2)*(1/8)^2 (1/4)^3+(17/32)-1/2*1/64 (1/4)^3+(17/32)-1/128 1/64+17/32-1/128 1+2/ 64 - 1/128 3/64-1/128 6-1 / 128 5/128
 Mixture_Word_Problems/323576: Jack's stride is 64 cm long and Jill's is 56 cm long. If they start together, how far have they walked when they are next in step?1 solutions Answer 231531 by mananth(12270)   on 2010-07-19 04:56:35 (Show Source): You can put this solution on YOUR website!Jack's stride is 64 cm long Jill's is 56 cm long. .. Let them be in step after x strides time taken by jack for x strides = x/64 .. time taken by Jill for x strides = x/56 .. x/56-x/64=0 64x-56x= 64*56 8x = 64*56 x= 64*56/8 x= 8*56 x=448 .. It is just like taking LCM of 64 & 56
 Mixture_Word_Problems/323585: A chemist has two different solutions. One has 50% alcohol and 50% water and the other has 75% alcohol and 25% water. How many liters of each should be mixed to obtain 8 liters of solution comprised of 60% alcohol and 40% water?1 solutions Answer 231530 by mananth(12270)   on 2010-07-19 04:45:19 (Show Source): You can put this solution on YOUR website!One has 50% alcohol and 50% water other has 75% alcohol and 25% water. Mixture = 8 liters of solution 60% alcohol and 40% water? .. let 50% alcohol required be x liters 75% acohol required will be 8-x liters Total mixture = 8 liters 60% .. 0.5x+0.75(8-x)=8*0.6 0.5x+6-0.75x=4.8 -0.25x=-1.2 x= -1.2/ -0.25 x=4.8 liters 50% alcohol 75% alcohol required = 3.2 liters
 Linear_Algebra/323588: what is the answer the X-Y= 4 X-3Y=4 1 solutions Answer 231529 by mananth(12270)   on 2010-07-19 04:30:24 (Show Source): You can put this solution on YOUR website!X-Y= 4 X-3Y=4 subtract the second equation from the first to eliminate X X-Y-X+3Y=0 2Y=0 Y=0 .. plug the value of y in first equation x-0=4 X=4
 Square-cubic-other-roots/323563: What is the negative square root of 8100?1 solutions Answer 231521 by mananth(12270)   on 2010-07-19 00:01:45 (Show Source): You can put this solution on YOUR website!negative square root of 8100 .. -90 *-90 = 8100 .. -90 is the answer
 Triangles/323562: One side of a triangle is twice as long as the smallest side. The longest side is 3 meters longer than the middle side. Find the measurement of the three sides if the perimeter is 48 ft.1 solutions Answer 231520 by mananth(12270)   on 2010-07-19 00:00:15 (Show Source): You can put this solution on YOUR website!let smallest side be x one side is 2x the longest side = 2x+3 .. Perimeter = sum of all three sides =48 x+2x+2x+3= 48 5x+3=48 5x=45 x= 9 2x= 18 2x+3 = 21 .. 9,18, 21 are the three sides. CHECK 9+18+21=48
 Coordinate-system/323548: In a coordinate system points A (-2, 3) and B (6, -1) have a midpoint of X. What is the midpoint between A and X? 1 solutions Answer 231519 by mananth(12270)   on 2010-07-18 23:56:52 (Show Source): You can put this solution on YOUR website!Mid point = (x1+x2 / 2 , y1+y2 / 2) .. A (-2, 3) and B (6, -1) -2+6 /2 , 3+(-1) / 2 .. 4/2 , 2/2 .. (2 ,1) is the mid point
 Miscellaneous_Word_Problems/323557: Not sure if this goes here but thank you for your help. A country has 221 mobile cellular telephones per 250 inhabitants. If the country's population is about 2,800,000 how many mobile cellular telephones does the country have?1 solutions Answer 231516 by mananth(12270)   on 2010-07-18 23:13:39 (Show Source): You can put this solution on YOUR website!For every 250 inhabitants there are 221 mobiles For2,800,000 there will be .. 2800000*221/250 = 2,475,200 mobiles
 Travel_Word_Problems/323081: Two rainstorms occured in one week in a certain area. The first storm lasted 25 hours, and the second storm lasted 40 hours, for a total 1775 mL of rain. What was the rate of rainfall for each of the two storms if the sum of the two rates was 50mL per hour? First Storm :_ mL/hr Second Strorm:_mL/hr1 solutions Answer 231288 by mananth(12270)   on 2010-07-16 21:52:46 (Show Source): You can put this solution on YOUR website!First storm x ml/hr second storm 50-x ml/hr .. first storm 25 hours second storm 40 hours .. total was 1775 ml .. 25x+(50-x)*40=1775 25x+2000-40x=1775 -15x=-225 x=15 ml/hr first storm y=35ml/hr second storm .. 15 ml/hr first storm 35ml/hr second storm
 Percentage-and-ratio-word-problems/323075: John bought two computers, one desktop and one laptop.Before finance charges, the laptop cost \$1000 more than the desktop. John paid for the computers using two different financing plans. For the desktop rate was 3.5% per year, and for the laptop it was 6.5% per year. The total finance charges for one year were \$490. How much did the desktop computer cost before finance charges? Thanks.1 solutions Answer 231286 by mananth(12270)   on 2010-07-16 21:47:00 (Show Source): You can put this solution on YOUR website!Let desktop cost \$x -------- 3.5% Laptop costs x+1000 -------- 6.5% .. 0.065(x+1000)+0.035x = 490 0.065x +65+0.035x=490 0.1x=425 x=425/0.1 x=4250 desktop cost .. y=5250 Laptop cost CHECK 4250*0.035+5250*0.065=490
 Polynomials-and-rational-expressions/323070: Please, I need help with these two problems.They need factored by grouping and checked Thank you for your help. I think it is x(x²+y)2xy²(x+y) but not sure. x³y+2x²y²+xy³ x³+av+3a+3x² This one I have no idea how to solve. 1 solutions Answer 231275 by mananth(12270)   on 2010-07-16 20:58:06 (Show Source): You can put this solution on YOUR website!x³y+2x²y²+xy³ .. x³y+x²y²+x^2y^2+xy³ .. x^2y(x+y)+xy^2(x+y) x^2y+xy^2(x+y) .. (x+y)xy(x+y) xy(x+y)^2 .. x³+av+3a+3x² instead of v it should be x , I think x³+av+3a+3x²
 expressions/323073: 11z+16x²-3yz+6x-8y² Evaluate if x=-2 and y=-3 and z=-51 solutions Answer 231271 by mananth(12270)   on 2010-07-16 20:46:33 (Show Source): You can put this solution on YOUR website!11z+16x²-3yz+6x-8y² Evaluate if x=-2 and y=-3 and z=-5 .. 11(-5)+16(-2)^2 -3(-3)(-5)+6(-2)-8(-3)^2 .. -55+64-45-12-72 .. -120
 Percentage-and-ratio-word-problems/322872: Gene purchased a condo for 90,000. He made a 15% down payment and assumed a 9% morgage for 20 years. Find the monthly payment and the finance charge1 solutions Answer 231161 by mananth(12270)   on 2010-07-16 06:55:54 (Show Source): You can put this solution on YOUR website!Condo price \$ 90,000 15% down payment = 13500 Balance to be paid = 90000-14500=75500 The formula for monthly payment C=Po[r(1+r)^n / (1+r)^n-1] Po=76500 r=9% ( 0.09/12)=0.0075 n=20 years = 240 months .. (1+r)^n= (1+0.0075)^240=6.009 .. r(1+r)^n=0.0075*6.009=0.0450 .. (1+r)^n-1= 6.009-1= 5.009 .. r(1+r)^n/(1+r)^n-1 = 0.0450/5.009=0.00898 -- Po*0.00989=76500*0.00989= 687.26 per month
 Rate-of-work-word-problems/322915: A company's new printer can print checks three times faster than its old printer. with both printers operating ,the checks can be printed in 6 minutes. how long would it take to print the checks with the new printer only ?1 solutions Answer 231160 by mananth(12270)   on 2010-07-16 06:08:29 (Show Source): You can put this solution on YOUR website!let the old printer's speed be x checks 1/x of the check it does it 1 minute .. new printer will print at 3x checks 1/3x checks it prints in 1 minute .. both print in 6 minutes So 1/6 of the job they do in 1 minute .. 1/x + 1/3x = 1/6 3+1 /3x= 1/6 6*4=3x 3x=24 x= 8 checks by the old printer
 Quadratic_Equations/322863: The speed of a sparrow is x mph in still air. When the wind is blowing at 1 mph, the sparrow takes 5 hours to fly 12 miles to its nest and 12 hours to return again. He flies out directly into the wind and returns with the wind behind him. FInd his speed in still air.1 solutions Answer 231159 by mananth(12270)   on 2010-07-16 05:15:22 (Show Source): You can put this solution on YOUR website!The speed of a sparrow is x mph in still air. When the wind is blowing at 1 mph, speed will be x-1 mph against the wind time taken 12 hours .. Distance traveled both ways is the same Distance = rate*time 12*(x-1) = 12 with wind 5*(x+1)=12 .. 12(x-1)=5*(x+1) 12x-12=5x+5 12x-5x=12+5 7x=17 x= 17/7 mph in still air the sparrow takes 5 hours to fly 12 miles to its nest and 12 hours to return again. He flies out directly into the wind and returns with the wind behind him. FInd his speed in still air.
 Length-and-distance/322868: a 31 inch square tv is on sale at the local electronic store. If 31 inches is the measure of the diagonal of the screen use the pythagorean theorem to find the length of the side of the screen.1 solutions Answer 231158 by mananth(12270)   on 2010-07-16 04:51:18 (Show Source): You can put this solution on YOUR website!let the sides be x in each x^2+x^2=31^2 (pythagorean theorem) 2x^2=31^2 divide by2 x^2=31^2/2 x^2=31/sqrt2 x=21.92 inches, the sides of the TV
 percentage/322898: 20% of 30% of 260001 solutions Answer 231155 by mananth(12270)   on 2010-07-16 04:39:24 (Show Source): You can put this solution on YOUR website!30% of 26,000= 30/100 *26000 =7800 20% of 7800 = 20/100 *7800 =1560
 Travel_Word_Problems/322911: A man is going 1 hr late to his home one day wen he goes in 80 km speed.. he daily goes in 100 km speed.. Find the distance1 solutions Answer 231154 by mananth(12270)   on 2010-07-16 04:35:45 (Show Source): You can put this solution on YOUR website!let the house distance be x km time = distance /rate daily time taken = x/100 on this day time taken = x/80 The difference in time = 1 hour .. x/80-x/100=1 100x-80x / 8000 =1 20x/8000=1 multiply by 8000 on both sides 20x= 8000 x=400 km
 absolute-value/322894: Translate the following problems into algebraic equations. It is not required that you solve the equations; simply translate them. Identify the variables, constants, and coefficients in each equation. Make equations with only one variable and simplify the equation on both sides until there are no parentheses and like terms have been combined. The sum of three consecutive even numbers is 144; what are the numbers?1 solutions Answer 231153 by mananth(12270)   on 2010-07-16 04:24:11 (Show Source): You can put this solution on YOUR website!let the numbers be x , x+1 & x+2 Sum of the numbers = 144 x+(x+1)+(x+2)=144 3x+3=44 add -3 3x+3-3 = 44-3 3x=41 x is a variable, 3 is the co-efficient and the numbers are constant
 Problems-with-consecutive-odd-even-integers/322903: Can some one show me how to do this problem using the five-step problem For a holiday party, Marcus is making a five-layer torte, which consists of five 9-inch diameter cake layers with a cream topping on each layer. He knows that one recipe of cream will cover 60 square inches of cake. How many batches of the topping must he make to complete his torte? (Use п = 3.14 as an approximate value) im lost please1 solutions Answer 231152 by mananth(12270)   on 2010-07-16 04:17:22 (Show Source): You can put this solution on YOUR website!Area of a circle = pi*r^2 r=4.5 in Area of 1 layer torte = 3.14*4.5 ^2 Area of 1 layer = 63.58in^2 area of 5 layers = 5*63.58 =317.92 in ^2 .. 60sq. in --- 1 batch 317.92 sq. in you will require 317.92/60 =5.92 batches 6 batches must be taken
 Problems-with-consecutive-odd-even-integers/322904: (a^3 b)(ab)^4 can some one help me with this one1 solutions Answer 231150 by mananth(12270)   on 2010-07-16 04:03:13 (Show Source): You can put this solution on YOUR website!(a^3 b)(ab)^4 a^3b*a^4*b^4 a^3*a^4*b*b^4 a^3+4*b*b^4 a^7*b^5 a^7b^5
 Problems-with-consecutive-odd-even-integers/322878: The sum of twice a first number and five times a second number is 111. If the second number is subtracted from five times the first number the result is 21. Find the numbers1 solutions Answer 231142 by mananth(12270)   on 2010-07-15 23:09:21 (Show Source): You can put this solution on YOUR website!The sum of twice a first number and five times a second number is 111. let one number be x: other number be y 2x+5y=111................ equation 1 .. the second number is subtracted from five times the first number the result is 21. 5x-y=21................... equation 2 multiply equation 2 by 5 and it to equation 1 to eliminate y 25x-5y=105 .. 25x-5y+2x+5y=105+111 27x=216 x=8 .. plug the value of x in equation 2 40-y=21 -y=-19 y=19 .. The numbers are 8 & 19
 Miscellaneous_Word_Problems/322618: Deshawn and Shayna are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffocil bul bs. Deshawn sold 10 bags of windflower bulbs and 12 bags of daffodil bulbs for a total of \$380. Shayna sold 6 bags of windflower bulbs and 8 bags of daffodil bulbs for a total of \$244. What is the cost each of one bag of windflower bulbs and one bag of daffodil bulbs? 1 solutions Answer 230959 by mananth(12270)   on 2010-07-15 09:43:32 (Show Source): You can put this solution on YOUR website!Deshawn sold 10 bags of windflower bulbs and 12 bags of daffodil bulbs for a total of \$380. Shayna sold 6 bags of windflower bulbs and 8 bags of daffodil bulbs for a total of \$244. .. let windflower bulbs cost \$x And daffodil bulbs cost \$y .. Deshawn 10x+12y=380.............1 Shayna 6x+8y=244...............2 Multiply equation 1 by 3 and equation 2 by 5 30x+36y=1140 30x+40y=1220 subtract to eliminate x 30x+36y-30x-40y=1140-1220 -4y=-80 y=-80/-4 y=20 Plug the value of y in equation1 10x+12*20=380 10x+240=380 10x=140 x=14 -- windflower bulbs cost \$14 And daffodil bulbs cost \$20
 Volume/322619: An aluminum can has a volume of 250 gallons. What is its volume in cubic feet? I believe I correctly answered this as 250gallons *.1337ft cubed = 33.425 so the volume is 33.425 ftcubed. Next I need to use that volume (33.425ft cubed) to express the height(h) in terms of the radius (x) I believe the formula would be h=v/pix^2 so h=33.425ft^3/3.14x^2 I am not sure how to solve this or what is meant by express h in terms of x Thank you so much for your help Beth1 solutions Answer 230955 by mananth(12270)   on 2010-07-15 09:19:06 (Show Source): You can put this solution on YOUR website!To continue .... h=33.425ft^3/3.14x^2 h= 10.644x^2