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lisov135 [29]
3 years ago
10

A swimming pool is being filled at the rate of 12 cubic yards per minute. If the pool is 18 yards long, 10 yards wide, and 3 yar

ds deep, how many minutes will it take to fill the pool?
Mathematics
2 answers:
horsena [70]3 years ago
7 0
(18*10*3yd^3)(min/12yd^3)

540yd^3(min/12yd^3)=45 minutes
NISA [10]3 years ago
4 0

Answer:

The time taken to fill the pool is 45 minutes.

Step-by-step explanation:

Given : A swimming pool is being filled at the rate of 12 cubic yards per minute. If the pool is 18 yards long, 10 yards wide, and 3 yards deep.

To find : How many minutes will it take to fill the pool?

Solution :

First we find the volume of the swimming pool.

Dimension of pool,

Length = 18 yards

Wide = 10 yards

Depth = 3 yards

The volume of the pool is

V=l\times w\times h

V=18\times 10\times 3

V=540

The volume of the swimming pool is 540 yard cube.

The rate of filling the pool is r=12 cubic yards per minute.

We know, Time taken is

Time=\frac{Volume}{rate}

Time=\frac{540}{12}

Time=45

Therefore, The time taken to fill the pool is 45 minutes.

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The first five terms of a pattern are shown.
Andrej [43]

Answer:

C

Step-by-step explanation:

There is a common ratio between consecutive term in the sequence, that is

\frac{3}{10} ÷ \frac{3}{100} = 3 ÷ \frac{3}{10} = 30 ÷ 3 = 300 ÷ 30 = 10

This indicates the sequence is geometric with n th term

a_{n} = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = \frac{3}{100} and r = 10 , thus

a_{n} = \frac{3}{100} (10)^{n-1}

    = \frac{3}{10^{2} } × 10^{n-1}

    = 3 × 10^{-2} × 10^{n-1}

    = 3 × 10^{n-3}

Thus

a_{n} = 3(10)^{n-3} → C

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geniusboy [140]
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5 0
3 years ago
If anyone’s good with geometry, help me out please. I would really appreciate it.
lakkis [162]

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Step-by-step explanation:

given that the two triangles are equal/congruent

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solve for x

10x+5=25

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Hope this helps!! :)

5 0
3 years ago
What does 5 + 3 1/8 =
mafiozo [28]
It equals 8 1/8 because 5 + 3 = 8 plus the 1/8
4 0
3 years ago
Read 2 more answers
1/3(6x-15)=1/2(10x-4) solve for x
Tatiana [17]

Simplify 1/3(6x - 15) to 6x - 15/3

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Factor out the common term; 3

3(2x - 5)/3 = 1/2(10x - 4)

Cancel out 3

2x - 5 = 1/2(10x - 4)

Simplify 1/2(10x - 4) to 10x - 4/2

2x - 5 = 10x - 4/2

Factor out the common term; 2

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Cancel out 2

2x - 5 = 5x - 2

Subtract 2x from both sides

-5 = 5x - 2 - 2x

Simplify 5x - 2 - 2x to 3x - 2

-5 = 3x - 2

Add 2 to both sides

-5 + 2 = 3x

Simplify -5 + 2 to -3

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Divide both sides by 3

- 1 = x

Switch sides

<u>x = -1</u>

8 0
3 years ago
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