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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
Beth
1 solutions
Answer 230955 by mananth(12270)   on 2010-07-15 09:19:06 (Show Source):
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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):
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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)
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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
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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
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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
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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):
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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):
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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
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y-12=5(x-12)
y-12=5x-60
y-5x=-48.......... equation 1
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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
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Equations/322311: I am having a problem with this question. This guy took a trip two times. The first time he was charged $210 for 625 miles. The next time he was charged S133.5 for 370 miles. Whats is the base rate, and how much he was charged for each mile? What is the slope?
1 solutions
Answer 230733 by mananth(12270) on 2010-07-14 03:14:23 (Show Source):
You can put this solution on YOUR website!let the base rate be x
the mile rate be y/mile
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x+625y=210
x+370y= 133.5
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subtract the two equations
x+625y-x-370y=210-133.5
255y=76.5
y=76.5/255
=$ 0.3/mile
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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
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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
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Let Mary's speed be x mph
Suize's speed will be x+10 mph
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Mary takes 15 hours
Suzie takes 10 hours
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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
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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
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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?
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Ultra 128.80 : price = 1.84/gallon
Number of gallons of ultra = 128.80/1.84 = 70 gallons
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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
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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
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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
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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.
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0.06x+13=25
0.06x=12
x= 12/0.06
x=200 calls
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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
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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
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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.
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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
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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
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CHECK
47/3 + 19/3 = 66/3 =22 in
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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
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