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Agata [3.3K]
3 years ago
5

A hose with a larger diameter working alone can fill a swimming pool in 9 hours. A hose with a smaller diameter working alone ca

n fill a swimming pool in 18 hours. Working together, how long would it take the two hoses to fill the swimming pool?
Mathematics
1 answer:
Vilka [71]3 years ago
4 0

- The rate of the hose with the large diameter is:

  Answer: A). 1/9.

- What is the unknown in the problem?

  Answer: C). the time it takes for the hoses working together to fill the pool

-What part of the job does the hose with the large diameter do?

  Answer: B). x/9

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Answer:

$1.80

Step-by-step explanation:

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The side lengths of the Australian flag are in a ratio of 1:2. If the flag is 5 feet long, what is it’s height?
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height:length

1:2

x feet: 5 feet

You know the length and the ratio of the dimensions. From the ratio you know that the length is twice the height. So height = 5/2 = 2.5 ft.

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Carly spend 10 hours a day working at her job what percentage of her day does she spend at work ?
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The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his
steposvetlana [31]

The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>

<em><u>Recall:</u></em>

Volume of a spherical shape = \frac{4}{3} \pi r^3

Volume of a rectangular prism = l \times w \times h

<em><u>Given:</u></em>

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

  • First, find the volume of the basketball:

Volume of ball = \frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\

Volume of basketball = 448.92 $ in^3

  • Convert to ft^3

1728 $ in.^3 = 1 $ ft^3

<em>Therefore,</em>

  • Volume of basketball = \frac{448.92}{1728} = 0.26 $ ft^3

  • Find the volume of the office (rectangular prism):

Volume of the office = 20 \times 18 \times 12 = 4,320 $ ft^3

  • Number of basket ball that will fill the office = Volume of office / volume of basketball

  • <em>Thus:</em>

Number of basket ball that will fill the office = \frac{4,320}{0.26} = 16,615

Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.

Learn more here:

brainly.com/question/16098833

6 0
3 years ago
This isn’t too difficult of questions and I am pretty sure I know the answers but I just want to make sure. Can someone please h
Shkiper50 [21]
Q2 Anwser
Exact Form:
28/15
Decimal Form:
1.86
Mixed Number Form:
1 13/15
5 0
3 years ago
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