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# Recent problems solved by 'mananth'

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 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
 Divisibility_and_Prime_Numbers/322622: Patrick spent 4/9 of an hour (h) in the batting cages on Friday and 7/9 of an hour on Saturday. He wants to spend 2 h total on the weekend. How much time should he spend on Sunday to accomplish this goal? 1 solutions Answer 230954 by mananth(12270)   on 2010-07-15 09:14:52 (Show Source): You can put this solution on YOUR website!4/9+7/9=11/9 he has spent Balance 2-11/9 = 18-11 / 9 =7/9 hours He has 7/9 hours for sunday
 Functions/322553: \$900 invested at 5% for 10 years compounded semiannually1 solutions Answer 230945 by mananth(12270)   on 2010-07-15 05:52:33 (Show Source): You can put this solution on YOUR website!A= P(1+r/t)^nt P= principal r= rate/year n= time t= period of compounding A=900*(1+0.05/2)^10*2 = \$ 1474.75
 Travel_Word_Problems/322579: Airplane A travels 1000 mi at a certain speed. Airplaine B travels the same distance in 1 hr less time but travels 50 mph faster. Find the time that Airplane B travels.1 solutions Answer 230943 by mananth(12270)   on 2010-07-15 05:24:41 (Show Source): You can put this solution on YOUR website!Airplane Time = 1000/x where x is the speed of the plane Airplane B Time = 1000/x+50 ( 50 mph faster) .. Time taken by airplane A - Time by Airplane B =1 1000/x - 1000/ x+50=1 LCM = x(x+50) 1000(x+50)- 1000x= x(x+50) 1000x+50,000 - 1000x=x^2 +50x x^2+50x-50000=0 x^2+250x-200x-50000=0 x(x+250)-200(x+2 b50)=0 (x+250)(x-200)=0 x= 200 mph speed of plane A speed of plane B = 250 mph distance traveled = 1000miles time it traveled = 1000/250 = 4 hours
 Travel_Word_Problems/322587: A car travelling with 5/7 of its usual speed covers 42 km in 1 hr 40 min 48 sec.What is the usual speed of car?1 solutions Answer 230942 by mananth(12270)   on 2010-07-15 05:14:59 (Show Source): You can put this solution on YOUR website!let the original speed be x 5/7 of the speed = 5x/7 .. 48 seconds = 48/3600 hours = 1/75 hours 40 ninutes = 40/60 =2/3 hours 1 hour so total time in hours = 1+2/3 +1/75 75+50+1 / 75=126/75 hours speed = distance / time speed = 42 / 126/75 speed= 42*75/126 5x/7= 25 5x=25*7 x= 25*7/5 x=35 x= 35 km/h
 expressions/322589: In evaluating the problem x+y/10 where x=58 and y=12, how would you do this? I do not understand what "evaluate" means in algebra. Thanks so much for your help. I am trying to study for my final exam and I am an online student. I have never done algebra before and I am totally lost on this one.1 solutions Answer 230941 by mananth(12270)   on 2010-07-15 05:00:08 (Show Source): You can put this solution on YOUR website!Evaluate means " find the value of" evaluate x+y / 10 x=58 y=12 .. 58+12 / 10 =70/`0 =7 The value of the expression is 7.
 Functions/322554: 500 invested at 7% for 5 years compounded monthly 1 solutions Answer 230937 by mananth(12270)   on 2010-07-15 02:09:09 (Show Source): You can put this solution on YOUR website!500 invested at 7% for 5 years compounded monthly A= P(1+r/12)^5 A = accrued amount after 5 years p= principal r = rate of interest .. A=500(1+0.05/12)^12*5 A=708.81
 expressions/322324: What is the answer of square root of x times x 1 solutions Answer 230742 by mananth(12270)   on 2010-07-14 07:07:53 (Show Source): You can put this solution on YOUR website!xsqrtx
 Money_Word_Problems/322323: Please help with this math problem You deposit \$10,000.00 in a account that pays 5% interest compound quarterly. A) Find the future value after 1 year. _____ B) Use the future value formula for simple interest to determine the effective annual yeild. _________ 1 solutions Answer 230741 by mananth(12270)   on 2010-07-14 07:07:10 (Show Source): You can put this solution on YOUR website!FV = P(1+rt/n)^nt =10000*(1+0.05/4)^4 =10,509.45 .. effective annual yield = 509.45 /100 =5.09%
 Rectangles/322253: The length of a rectangle is twice the width; the perimeter is 42 inches. Find the width1 solutions Answer 230740 by mananth(12270)   on 2010-07-14 06:58:31 (Show Source): You can put this solution on YOUR website!let width be x length=2x perimeter = 2L+2W 2x+2*2x=42 6x=42 x=7 the width 2x= length = 14in
 Sequences-and-series/322314: Find the sum of 1+2+3+4+5+…+24+251 solutions Answer 230739 by mananth(12270)   on 2010-07-14 06:22:03 (Show Source): You can put this solution on YOUR website!Sn = sum of series = N/2 (a1+an)n is the nth. term 25/2 (1+25) =25*26 / 2 =325
 Polynomials-and-rational-expressions/322317: If a+b=6, ab=7, what is the value of a^2b+ab^2?1 solutions Answer 230736 by mananth(12270)   on 2010-07-14 05:40:30 (Show Source): You can put this solution on YOUR website!If a+b=6, ab=7, what is the value of a^2b+ab^2 a^2b+ab^2 =ab(a+b) =7*6 =42
 Miscellaneous_Word_Problems/322313: At Pete’s Pizzeria, a pizza costs \$6 and a soda costs 75¢. What is the total cost of 2 pizzas and 4 sodas (before taxes)?1 solutions Answer 230735 by mananth(12270)   on 2010-07-14 05:39:01 (Show Source): You can put this solution on YOUR website!pizza 1-----\$6 For 2 it is 2*6 = 12.00 .. soda 1.....\$0.75 6 sodas .. 6*0.75= 4.50 .. Total = 12+4.50=\$ 16.50
 Age_Word_Problems/322312: Hi, Ive been given a question. "Twelve years ago Jack was five times as old as Jill. In three years time Jill will be half of Jack's age. What are Jack and Jill's present ages?" I've tried heaps of different equations with no luck so far. If Jack = y and Jill = x I have been using the following - y = 5x - 12 x = y/x + 3 So I go x = (5x - 12)/x + 3 I've tried several others I just can't figure it out. Becoming really frustrating and a push in the right direction would be hugely helpful! :) Thanks!1 solutions Answer 230734 by mananth(12270)   on 2010-07-14 05:09:32 (Show Source): You can put this solution on YOUR website!"Twelve years ago Jack was five times as old as Jill. In three years time Jill will be half of Jack's age. What are Jack and Jill's present ages?" .. let Jill's age be x now Let Jack's age be y now .. 12 years ago their ages were Jill x-12 Jack y-12 .. y-12=5(x-12) y-12=5x-60 y-5x=-48.......... equation 1 .. after 3 years their ages will be Jill x+3 Jack y+3 (x+3)= 1/2 (y+3) 2(x+3)=y+3 2x+6=y+3 2x-y=-3......... equation 2 .. Add equation 1&2 y-5x+2x-y=-48-3 -3x=-51 x= 17 which is Jill's age now Plug the value of x in equation1 y-85=-48 y=37 Jack's age now
 Equations/322311: I am having a problem with this question. This guy took a trip two times. The first time he was charged \$210 for 625 miles. The next time he was charged S133.5 for 370 miles. Whats is the base rate, and how much he was charged for each mile? What is the slope?1 solutions Answer 230733 by mananth(12270)   on 2010-07-14 03:14:23 (Show Source): You can put this solution on YOUR website!let the base rate be x the mile rate be y/mile .. x+625y=210 x+370y= 133.5 .. subtract the two equations x+625y-x-370y=210-133.5 255y=76.5 y=76.5/255 =\$ 0.3/mile .. plug the value of y in any eauation x+625*0.3=210 x=210-187.5 x=22.5 base rate write the equation in the form of y=mx+c and compare the value with m
 test/322308: k=1/2mb^2 solve for b1 solutions Answer 230732 by mananth(12270)   on 2010-07-14 02:33:06 (Show Source): You can put this solution on YOUR website!k= 1 /2mb^2 b^2=1/2km b= sqrt(1/ 2km)
 Miscellaneous_Word_Problems/322300: how is this type of problem solved? Suizie is traveling at a speed of ten miles faster then Mary. it takes Suzie ten hours to get to Las Vegas and Mary fifteen hours to get to Las Vegas, how fast are Mary and Suzie traveling? thanks a lot 1 solutions Answer 230731 by mananth(12270)   on 2010-07-14 02:31:31 (Show Source): You can put this solution on YOUR website!Suizie is traveling at a speed of ten miles faster then Mary. it takes Suzie ten hours to get to Las Vegas and Mary fifteen hours to get to Las Vegas, how fast are Mary and Suzie traveling? thanks a lot .. Let Mary's speed be x mph Suize's speed will be x+10 mph .. Mary takes 15 hours Suzie takes 10 hours .. Distance traveled by both is the same 15x=10(x+10) 15x=10x+100 5x=100 x=20 -- Mary's speed Suzy's speed = x+10= 30 mph
 Triangles/322305: Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. Given=8 1 solutions Answer 230730 by mananth(12270)   on 2010-07-14 02:25:16 (Show Source): You can put this solution on YOUR website!hypotenuse ^2 = leg1^2+leg2^2 H^2=8^2+8^2 H^2=64+64 H^2=128 H=sqrt 128 hypotenuse = 11.31 cm
 Money_Word_Problems/322289: What is the amount earned when \$3600 is invested at a rate of 7% simple interest for three years?1 solutions Answer 230729 by mananth(12270)   on 2010-07-14 02:19:52 (Show Source): You can put this solution on YOUR website!Interest= p*r*t p=3600 r=7% t=3 years .. I= 3600*0.07*3 Interest = \$756
 Quadratic_Equations/322297: I have a missing "b" term. How should I go about getting it. Here is the problem. p^2+bp+25=0 A=1 b= ? C= 251 solutions Answer 230728 by mananth(12270)   on 2010-07-14 01:59:22 (Show Source): You can put this solution on YOUR website!p^2+bp+25=0 .. p^2 = perfect square 25 is a perfect square so the term will be (p+5)^2 Expand the Term p^2+10p+25 compare the two equations b=10
 Quadratic_Equations/322299: How do I get B in this Equation? r^2-br+49=0 A=1 B=? C=491 solutions Answer 230727 by mananth(12270)   on 2010-07-14 01:56:31 (Show Source): You can put this solution on YOUR website!r^2-br+49=0 When the above equation is a perfect square (r-7)^2= r^2-2*7*1*r+49 compare the equation r^2-br+49 b=2*7*1 b=14
 test/322239: I am a bit stuck on these few problems and I can't get any help....Someone please help me!! . (a)sqrt 2 + sqrt 2/29 (b)3 sqrt 8 + 2 sqrt 16 (c)3 times sqrt 13/3 (d)sqrt m times sqrt m^2'/ I really need some help if you would! Thank you! p.s. Its says express in simplest radical form.1 solutions Answer 230711 by mananth(12270)   on 2010-07-14 00:15:58 (Show Source): You can put this solution on YOUR website!(a)sqrt 2 + sqrt 2/29 sqrt2(1+1/29) sqrt2(30/29) (b)3 sqrt 8 + 2 sqrt 16 3sqrt2*2*2+2sqrt2*2*2*2 3*2sqrt2 + 2*4 6sqrt2+8 2(3sqrt2+4) (c)3 times sqrt 13/3 3*sqrt 13/3 =sqrt13*3*3 /3 =sqrt39 (d)sqrt m times sqrt m^2 sqrtm*m sqrtm^3
 Finance/322241: At Ed Gas, regular gas is \$1.12 per gallon and ultra gas is \$1.84 per gallon. If Ed Gas sold \$128.80 worth of ultra, how many gallons of regular must be sold to have an average selling price of \$1.518 per gallon?1 solutions Answer 230707 by mananth(12270)   on 2010-07-14 00:07:20 (Show Source): You can put this solution on YOUR website!At Ed Gas, regular gas is \$1.12 per gallon ultra gas is \$1.84 per gallon. \$128.80 worth of ultra was sold, Let thenumber of gallons of regular to be sold be x to have an average selling price of \$1.518 per gallon? .. Ultra 128.80 : price = 1.84/gallon Number of gallons of ultra = 128.80/1.84 = 70 gallons .. Value of regular + value of ultra / number of gallons = average price 1.12x+128.80 /70+x= 1.518 1.12x+128.80 =(70+x)* 1.518 1.12x+128.80=1.518x+106.26 1.518x-1.12x=106.26-128.80 0.398x=22.54 =56.63 gallons of regular has to be sold
 Word_Problems_With_Coins/322238: a carpenter earns \$13.65 an hour and gets time-and-a-half for overtime(more than 40hours worked in a single week.) what should be the carpenter's salary for a 47.25-hour work week?1 solutions Answer 230702 by mananth(12270)   on 2010-07-13 23:54:00 (Show Source): You can put this solution on YOUR website!carpenter earns \$13.65 an hour gets time-and-a-half for overtime what should be the carpenter's salary for a 47.25-hour work week? .. For normal working he gets \$13.65/hour So for the first 40 hours he gets 13.65*40= \$546 .. The extra hours are 7.25 the rate for extra hour is 13.65*1.5= \$ 20.47 .. So overtime charges will be 7.25*20.47=148.40 Total salary will be 48.40+546=\$596.40
 Unit_Conversion_Word_Problems/322273: A CAR TURNS AT A SPEED OF 50 MILES/HR. HOW MUCH IS THIS IN METERS/MINUTES 1 solutions Answer 230696 by mananth(12270)   on 2010-07-13 23:44:06 (Show Source): You can put this solution on YOUR website!50 MILES/HR. HOW MUCH IS THIS IN METERS/MINUTES 50 miles = 50*1.6 km= 80 km ( 1mile = 1.6km) 80km = 80*1000 m= 80,000 m (1km =1000m) .. 1 hour = 60 minutes .. 50 miles/ hour = 80,000m / 60 minutes =1333.33 meters/minute
 Linear_Equations_And_Systems_Word_Problems/322258: You need to choose between two telephone plans for local calls. Plan A charges \$25 per month for unlimited calls. Plan B charges a monthly fee of \$13 with a charge of \$0.06 per local call. How many local telephone calls in a month make Plan A the better deal? Please show all steps.1 solutions Answer 230694 by mananth(12270)   on 2010-07-13 23:38:30 (Show Source): You can put this solution on YOUR website!Plan A charges \$25 per month for unlimited calls. Plan B charges a monthly fee of \$13 with a charge of \$0.06 per local call. .. Let the number of calls made be x to reach a bill of \$25. Above x calls Plan A becomes a better deal. .. 0.06x+13=25 0.06x=12 x= 12/0.06 x=200 calls
 Linear_Equations_And_Systems_Word_Problems/322259: A truck can be rented from Basic Rental for \$50 per day. In addition, you have to pay \$0.20 per mile. Continental charges \$20 per day in addition to \$0.50 per mile to rent out the same truck. How many miles must you drive in a day to make the rental cost for Basic Rental a better deal than that for Continental? Please show all the steps.1 solutions Answer 230686 by mananth(12270)   on 2010-07-13 23:17:24 (Show Source): You can put this solution on YOUR website!Basic Rental \$50 per day.+ \$0.20 per mile. Continental \$20 per day + \$0.50 per mile. .. Let the number of miles you need to drive per day be x so that the charges are same for both rentals. 50+0.20x=20+0.50x 0.50x-0.20x=50-20 0.30x=30 x=30/0.30 x=100 miles. So you have to drive more than 100 miles for Basic Rental to be a better deal than that for Continental
 Age_Word_Problems/322264: Today Tom is twice as old as Mary. If Tom was 11 three years ago, how old will Marry be when Tom is 20?1 solutions Answer 230682 by mananth(12270)   on 2010-07-13 23:09:12 (Show Source): You can put this solution on YOUR website!let Mary's age be x Tom's age will be 2x .. Three years ago tom was 11 years Three years ago Tom was 2x-3 So 2x-3=11 2x=14 2x=14/2 x=7 Mary is 7 years today. .. Tom was 11 years, 3 years ago So tom is 14 years now After 6 years Tom will be 20 years. Mary is 7 years now so after 6 years she will be 13 years.
 Miscellaneous_Word_Problems/322265: If a 22 inch rope is to be cut into two pieces so that one piece is 3 inches longer than twice the other, how long is each piece?1 solutions Answer 230681 by mananth(12270)   on 2010-07-13 23:01:22 (Show Source): You can put this solution on YOUR website!let one piece be x the other will be 2x+3 Length of rope = 22 in the sum of the pieces = 22 .. x+2x+3=22 3x+3=22 3x=19 x=19/3 x=6.33 in one part .. the other will be 2x+3 =2*19/3 +3 =38/3 +3 =47/3 inches .. CHECK 47/3 + 19/3 = 66/3 =22 in
 Square-cubic-other-roots/322261: Square Addition: -3 sqrt80-sqrt201 solutions Answer 230680 by mananth(12270)   on 2010-07-13 22:54:38 (Show Source): You can put this solution on YOUR website!-3 sqrt80-sqrt20 -3sqrt2*2*2*2*5-sqrt2*2*5 -3*2*2sqrt5-2sqrt5 sqrt5(-12-2) =-14sqrt5
 Problems-with-consecutive-odd-even-integers/321993: using the five-step problem-solving process A rectangular support unit in a television is made with dimensions measuring 6 centimeters by 7 centimeters. A new model being designed for the upcoming year will have a larger rectangular support with dimensions measuring 6.3 centimeters by 7.4 centimeters. By how much will the area of the rectangular support be increased?the formula i was using was w*l but im not getting 5 steps can some one help me 1 solutions Answer 230526 by mananth(12270)   on 2010-07-13 10:53:30 (Show Source): You can put this solution on YOUR website!original support is 7 by 6 cm so area = 42 cm^2 New dimensions 6.3 by 7.4 cm area = 6.3*7.4 =46.62cm^2 The difference is the increase in area 46.62-42=4.62cm^2