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svetlana [45]
3 years ago
12

An inlet pipe can fill an artificial pond in 70 min. An outlet pipe can empty the same pond in 200 min. With both pipes open, ho

w long will it take to fill the pond?
Mathematics
1 answer:
vivado [14]3 years ago
5 0

It takes 107.692 minutes approximately to fill the pond

<em><u>Solution:</u></em>

Given that inlet pipe can fill an artificial pond in 70 min

So the inlet pipe can fill \frac{1}{70} of the pond in 1 min

An outlet pipe can empty the same pond in 200 min

So the outlet pipe can empty \frac{-1}{200} of pond in 1 min

Here negative sign denotes "empties the pond"

To find: With both pipe open, time taken to fill the pond

Let "x" be the time taken by pipes to fill the pond

With both pipes are left on, so together their rate is:

\frac{1}{x} = \frac{1}{70} - \frac{1}{200}

On solving,

\frac{1}{x} = \frac{200 - 70}{14000}\\\\\frac{1}{x} = \frac{130}{14000}\\\\x = \frac{14000}{130} = 107.692

Thus it takes 107.692 minutes approximately to fill the pond

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The equation 3x + 2 = 29 is modeled below.
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Subtract 2 from both sides.

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> Also, note the equal sign, what you do to one side, you do to the other side of the equation.

First step is to subtract 2 from both sides of the equation:

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The second step is to divide 3 from both sides of the equation:

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Find the discount for a stereo that is on sale for 12% off. The<br> original price is $200.00.
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Question
ANTONII [103]

The approximate area of the park on the grid is: E. about 40 km² to 50 km².

<h3>How to Find the Approximate Area on a Coordinate Grid?</h3>

The number of square on a coordinate grid that is covered determines the area covered. We can make an estimate by counting how many of this square on the coordinate grid that is covered, then find out the area depending on how much square area each grid represents.

In the coordinate plane given, which shows a park, we are told that each of the square on the grid equals 1 k = square kilometer.

The number of each of these squares we can find that is covered by the park on the grid is: 48 squares.

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Learn more about the approximate area on a grid on:

brainly.com/question/368985

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