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gtnhenbr [62]
1 year 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]1 year 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

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eduard
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6 0
2 years ago
240 people are going to a charity event 3/5 of the guests have ordered chicken for their meals of the remaining guests 12.5% hav
Yuri [45]

Answer: 84 people

Step-by-step explanation:

From the question, 240 people are going to a charity event and 3/5 of the guests have ordered chicken for their meals. This means (3/5 × 240) = 144 people ordered chicken. Since 144 people have ordered, the number of remain people left will be:

= 240 - 144

= 96 people.

Out of the remaining guests which is 96, 12.5% have ordered gluten free meals. This means (12.5% × 96) = 12 ordered gluten free meals.

The people who haven't ordered their meals yet will be:

= 96 - 12

= 84 people.

6 0
2 years ago
in any given year a factory has a 10% probability of having a serious accident. about every how many years might the factory exp
Likurg_2 [28]

Years for one serious accident is 10 year

<u>Given:</u>

Probability of having a serious accident = 10% every year

P(serious accident) = 0.1

Number of years = n

<u>Computation:</u>

Years for one serious accident = 1 / Probability of having a serious accident

Years for one serious accident = 1 / P(serious accident)

Years for one serious accident = 1 / 0.1

Years for one serious accident = 10 year

Learn more:

brainly.com/question/23044118?referrer=searchResults

5 0
1 year ago
How many bands uniforms can be made with 131 3/4 yards of fabric if each uniform requires 3 7/8
mafiozo [28]
<span>131 3/4 divided by 37/8.
   
527/4 divided by 31/8.
   
527/4 divided by 8/31.
   
1054/31.
   
34.</span>
3 0
1 year ago
Sitting on a park bench, you see a swing that is 100 feet away and a slide that is 80 feet away. The angle between them is 30 de
leva [86]

We are given : Distance of the swing = 100 feet.

Distance of slide = 80 feet.

Angle between swing and slide = 30 degrees.

We need to find the distance between the swing and the slide.

Distance of swing, distance of slide and distance between the swing and the slide form a triangle.

We can apply cosine law to find the distance between the swing and the slide.

c^2 = a^2 +b^2  - 2ab cos C

c^2 = 100^2 +80^2 - 2(100)(80) cos 30°

c^2 = 10000 + 6400 -2* 8000 (\frac{\sqrt{3}} 2)}

c^2 = 16400 - 8000\sqrt{3}

c^2 = 16400 - 13856

c^2 = 2544

c =\sqrt{2544}

c= 50.44

c = 50 feet approximately.

<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>
5 0
2 years ago
Read 2 more answers
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