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trasher [3.6K]
3 years ago
6

A certain pipe can be used to fill a pool with water in 2 hours. A second pipe can be used to fill the pool in 4 hours. How long

does it take to fill the pool when both pipes are used at the same time?​
Mathematics
1 answer:
Kryger [21]3 years ago
6 0

Answer:

1 1/3 hours

Step-by-step explanation:

Pipe 1 alone:

fills the pool in 2 hours

in 1 hour, it fills 1/2 of the pool

Pipe 2 alone:

fills the pool in 4 hours

in 1 hour, it fills 1/4 of the pool

Pipe 1 and Pipe 2 working together:

fill the pool in x hours

in 1 hour, they fill 1/x of the pool

Working together, in 1 hour the two pipes fill 1/2 + 1/4 of the pool.

Working together, in 1 hour the two pipes fill 1/x of the pool.

Therefore,

1/2 + 1/4 = 1/x

2/4 + 1/4 = 1/x

3/4 = 1/x

x = 4/3

x = 1 1/3

Answer: 1 1/3 hours

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Write two equivalent rates for 3 breads made in 45 minutes.
Alex777 [14]

Answer:

1/15 ; 6/90

Step-by-step explanation:

\frac{3}{45}=\frac{1}{15} \\\\\frac{3}{45}=\frac{3*2}{45*2}=\frac{6}{90}

7 0
3 years ago
What is the inverse of the function f(x) = 1/4x-12?
Marrrta [24]

Answer:

\huge\boxed{f^{-1}(x)=4x+48}

Step-by-step explanation:

In order to find the inverse of a function, we need to follow a couple of steps.

  • Step 1: Write the function as y=mx+b
  • Step 2: Swap all x and y values
  • Step 3: Solve for y
  • Step 4: Replace y with f^{-1}(x)

We can follow these steps to find the inverse of this function.

Step 1: We can just replace the f(x) with y, making our function y=\frac{1}{4}x-12.

Step 2: We can swap where the x and y values are, making our equation

x = \frac{1}{4}y-12

Step 3: We can now solve for y.

  • x = \frac{1}{4}y-12
  • x + 12 = \frac{1}{4}x
  • 4x+48 =y

We now have the function as y = 4x+48.

Step 4: We can now replace the y with f^{-1}(x).

f^{-1}(x) =4x+48

Therefore the inverse of f(x) = \frac{1}{4}x-12 is f^{-1}(x) =4x+48.

Hope this helped!

8 0
3 years ago
There are 25 girls, 18 boys and 7 adults on a bus. What percentage
Gekata [30.6K]

Answer:

0.5%

Step-by-step explanation:

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2 years ago
PLs HelP Me I wiLl gIve FreE PoInTS
Misha Larkins [42]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Above are two different models of the same triangular-shaped garden. If the height of the model on the left is 14 cm, what is th
Katyanochek1 [597]

Please consider the attached graph.

We have been given that there are two different models of the same triangular-shaped garden. The height of the model on the left is 14 cm. We are asked to find the height of the model.

First of all, we will convert 14 cm into feet.

We can see that model on left side has a scale of 1 cm is equal to 15 feet.

14 cm = 14×15 feet = 210 feet.

We can see that model on the right side has a scale of 1 cm is equal to 7.5 feet.

Since both models represent same triangular-shaped garden, so the actual height for the both models will be same.

Now we need to convert actual height of 210 feet into inches using 2nd scale.

\text{210 ft}=210\text{ ft}\times \frac{1\text{ inch}}{\text{7.5 ft}}=\frac{210}{7.5}\text{ inch}=28\text{ inch}

Therefore, the height of the model on right is 28 inches.

5 0
4 years ago
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