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3 years ago

Brainliest answer

Mathematics

1 answer:

marshall27 [118]3 years ago

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A . ...................

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An inlet pipe can fill a swimming pool in 9 hours and an outlet pipe can empty the pool in 12 hours. Through an error, both pipe

Andrew [12]

Answer:

36 hours.

Step-by-step explanation:

Let x represent time taken by both pipes to fill the tank.

We have been given that an inlet pipe can fill a swimming pool in 9 hours. So part of pool filled by inlet pipe in one hour would be $\frac{1}{9}$ .

We are also told that an outlet pipe can empty the pool in 12 hours. The part of pool emptied by outlet pipe in one hour would be $\frac{1}{12}$ .

Sine the time taken by both pipes to fill the tank is x hours, so part of pool filled by both pipes in one hour would be $\frac{1}{x}$ .

We will get an equation using our given information as:

$\frac{1}{x}=\frac{1}{9}-\frac{1}{12}$

Let us solve for x.

$\frac{1}{x}=\frac{1*12}{9*12}-\frac{1*9}{12*9}$

$\frac{1}{x}=\frac{12}{108}-\frac{9}{108}$

$\frac{1}{x}=\frac{12-9}{108}$

$\frac{1}{x}=\frac{3}{108}$

Cross multiply:

$3x=108$

$\frac{3x}{3}=\frac{108}{3}$

$x=36$

Therefore, it will take 36 hours for both pipes to fill the tank.

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100 POINTS BRAINLIEST QUESTION ATTACHED

aliya0001 [1]

$y = 4 \: is \: your \: answer$

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Given the parent function f(x) =3^x, which graph shows f(x) + 2

riadik2000 [5.3K]

The graph would move up 2 units

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3 years ago

Write an equivalent expression for 3/5x + 2/5 + 3/5x<br><br> please i will give brainliest

katen-ka-za [31]

Answer:

= 3/5(x) + 3/5(x) + 2/5

= 6/5(x) + 2/5

= 2/5 (3x+1)

Step-by-step explanation:

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Which expression is equivalent to 5^-2 x 5^-1

Mrac [35]

When you multiply powers with the same base, you sum the exponents:

$a^b\times a^c=a^{b+c}$

So, in this case, you have

$5^{-2}\times 5^{-1}=5^{-2-1}=5^{-3}$

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3 years ago