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frozen [14]
3 years ago
13

Determine whether quantities vary directly or inversely and find the constant of variation. It takes four identical water pumps

6 hours to fill a pool. How long would it take three of these same pumps to fill the pool, assuming they all pump at the same rate?
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0

Let the number of water pumps be n and the time taken to fill the pool is t.

Now, we can see that higher the number of water pumps, lesser the time to fill the pool.

It means quantities  vary indirectly.

Thus, n=\frac{k}{t} , \text{ where k is the constant of variation}

Now, we have been given that It takes four identical water pumps 6 hours to fill a pool.

Thus, we have

4=\frac{k}{6} \\
\\
k=24

Hence, constant of variation is 24.

Now, we have to find the time that  three pumps will take to fill the same pool.

3=\frac{24}{t} \\
\\
3y=24\\
\\
y=\frac{24}{3} \\
\\
y=8

Hence, it will take 8 hours to fill the pool by three identical pumps.

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4 0
3 years ago
Find the circumference of a circle whose area is /. A. B. C. D. Please select the best answer from the choices provided A B C D
Furkat [3]

Answer:

Circumference of circle = (15.5)π cm

Step-by-step explanation:

Missing information:

Area of circle = 60π cm²

Find:

Circumference of circle

Computation:

Area of circle = πr²

Area of given circle = π(Radius of circle)²

60π = πr²

60 = r²

Radius of circle = 7.75 cm  (Approx)

Circumference of circle = 2πr

Circumference of circle = 2(π)(7.75)

Circumference of circle = (15.5)π cm

7 0
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Number of gallons of gas. Miles driven 0 0 2 62 4 124 10 310 How many gallons are used when the car has been driven 18 miles
Goryan [66]

558 gallons are used when the car has been driven 18 miles.

<u>Step-by-step explanation:</u>

<u>From the given data, it can be determined that :</u>

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Let, the number of gallons for 18 miles = 'x' gallons

<u>To find x :</u>

compare the given data with the unknown data,

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keep x alone on one side,

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6 0
2 years ago
A can holds 4 golf balls. The diameter of each golf ball is 5 cm. What is the volume of the empty space inside the can?
forsale [732]

Answer:

Volume of the empty space in the can  is 327.05  cm^3

Step-by-step explanation:

Given:

Number of golf ball the can holds = 4

Diameter of the golf ball = 5 cm

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Volume of the empty space in the can = ?

Solution:

Step 1:  Finding the volume of one golf ball

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So lets use the volume of the sphere formula

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Substituting the values

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Step 2:  Finding the volume of empty space of the can

volume of empty space of the can =  volume of 5 golf ball

= 5 X 65.41

= 327.05

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