answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gtnhenbr [62]
2 years ago
12

Water flows into a swimming pool at the rate of 8.0 gal/min. The pool is 16 ft wide, 32 ft long and 8.0 ft deep. How long does i

t take to fill in hours? (1 U.S. gallon = 231 cubic inches)
Mathematics
1 answer:
VLD [36.1K]2 years ago
4 0

1 foot = 12 inches

(1 foot)^3 = (12 inches)^3

1 cubic foot = (12^3) cubic inches

1 cubic foot = 1728 cubic inches, will be used as a conversion factor

--------------

Find the volume of the pool. Assume it is a rectangular prism.

Volume = length*width*height

Volume = 32*16*8

Volume = 4096 cubic feet

Multiply by 1728, which was the conversion factor found earlier, to convert from cubic feet to cubic inches.

4096 cubic feet = (4096*1728) cubic inches = 7077888 cubic inches

--------------

Now use the fact that 1 gallon = 231 cubic inches to convert from cubic inches to gallons

7077888 cubic inches = (7077888 cubic inches)*(1 gallon/231 cubic inches) = 7077888/231 = 30640.2078 gallons which is approximate

--------------

If x is the amount of time in minutes, then 8x gallons of water have been added after x minutes. Set this equal to 30640.2078 and solve for x

8x = 30640.2078

x = 30640.2078/8

x = 3830.02598

Divide this by 60 to convert to hours

3830.02598/60 = 63.8337663

<h3>It takes approximately 63.8 hours to fill the pool</h3>

This is approximately 63.8/24 = 2.625 days

You might be interested in
The sum of Orion and Sagan’s age is 24, and the difference between their ages is 6. Find their ages given that Orion is older th
Katarina [22]

Let's say that Sagan's age is x and Orion is x + 6 (since Sagan is younger by 6 years).


We know that Orion's age + Sagan's age is 24, so x + x + 6 is 24


2x = 18

x = 9


That means that Sagan is 9, and Orion is 9+6 or 15.

6 0
2 years ago
Twelve flags are evenly spaced around a running track. Ryan started running at the first flag and took 30 seconds to reach the s
aniked [119]

Answer:

Ryan takes 6n+36m -42 seconds to reach the nth flag for the mth time.

Step-by-step explanation:

It takes Ryan to run from 1st to 6th flag in 30 seconds, so it takes him

30 * 6/3 = 36 seconds to make one complete round.

or it takes 6 seconds to run from one flat to the next.

To reach the nth flag (n=1,2,3,4,5, or 6)

Ryan takes 6(n-1) seconds.

To reach it the mth times, he needs to add 36(m-1) seconds.

So time it takes Ryan to reach the nth flag for the mth time takes

6(n-1) + 36(m-1)

= 6n - 6 + 36m - 36

= 6n+36m -42 seconds

3 0
2 years ago
A jet flies 425 km from Ottawa to Québec at rate v + 60. On the return flight, the
Marina CMI [18]

Answer:

a. \frac{- 42,500}{(v + 60)(v - 40)}

Step-by-step Explanation:

Given:

Distance Ottawa to Québec = 425 km

Initial flight rate = v + 60

Return flight rate = v - 40

t = \frac{d}{r}

Required:

Flight times difference of the initial and return flights

Solution:

=>Flight time of the initial flight:

t = \frac{d}{r}

t = \frac{425}{v + 60}

=>Flight time of the return flight:

t = \frac{425}{v - 40}

=>Difference in flight times:

\frac{425}{v + 60} - \frac{425}{v - 40}

\frac{425(v - 40) -425(v + 60)}{(v + 60)(v - 40)}

\frac{425(v) - 425(40) -425(v) -425(+60)}{(v + 60)(v - 40)}

\frac{425v - 17000 -425v - 25500}{(v + 60)(v - 40)}

\frac{425v - 425v - 17000 - 25500}{(v + 60)(v - 40)}

\frac{- 42,500}{(v + 60)(v - 40)}

3 0
2 years ago
Which solution is the best estimate to the system of equations? {y=14x−2y=−2x+3 (2.2, −1.4) (0, 3) (0, −2) (1.5, 0) A system of
sertanlavr [38]

Answer:

The best estimate solution to the system of equations is (0, 3)

Step-by-step explanation:

we have

y=14x-2 ------> equation A

y=-2x+3 -----> equation B

Solve the system by elimination

Multiply the equation B by 7 both sides

(7)y=(7)(-2x+3)

7y=-14x+21 -------> equation C

Adds equation A and equation C

y=14x-2

7y=-14x+21

-----------------

y+7y=-2+21

8y=19

y=19/8

Find the value of x

y=14x-2

19/8=14x-2

19=112x-16

112x=19+16

112x=35

x=35/112

so

The solution is the point (35/112,19/8)

Convert to decimal number

(0.3125,2.375)

therefore

The best estimate solution to the system of equations is (0, 3)

3 0
2 years ago
Employee C is paid an hourly rate of $13.25 per hour and works 2,080 hours per year. The employee was just promoted and received
Ostrovityanka [42]
He made 13.25 per hr.....and just received a 15% raise...
13.25 + 0.15(13.25) = 13.25 + 1.99 = 15.24 per hr (with the raise)

15.24 per hr for 2080 hrs = 
15.24 * 2080 = 31699.20 <==
4 0
2 years ago
Read 2 more answers
Other questions:
  • $30 bat; 15% discount
    6·1 answer
  • Jerry and Katja are running in a race. Jerry runs really fast for a while. Then, he stops to catch his breath. After he has rest
    10·2 answers
  • A landscaper has 125 tiles to build a square patio. The patio must have an area of at least 80 square feet.
    6·2 answers
  • A price was increasing at a rate of 15% per month what is the annual growth rate enter your answer rounded to the nearest tenth
    12·2 answers
  • The formula for the volume of a sphere is mc012-1.jpg. What is the formula solved for r? mc012-2.jpg mc012-3.jpg mc012-4.jpg mc0
    7·2 answers
  • Lin is 7 years younger than Adrian,
    10·1 answer
  • On a fishing trip, you catch two fish . The weight of the first fish is shown (1.2lb). The second fish weighs at least 0.5 pound
    5·1 answer
  • The earth has a mass of approximately 6\cdot 10^{24}6⋅10 24 6, dot, 10, start superscript, 24, end superscript kilograms (\text{
    5·1 answer
  • What is the length of BC in the right triangle below?
    11·2 answers
  • The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a s
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!