Part B In liposuction, a doctor removes fat deposits from a person's body. If body fat has a density of 0.909 g/mL and 1.1 L of fat is removed, how many pounds of fat are
removed from the patient?
Express your answer using two significant figures.
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Ответ:

aruhter9485

04.04.2023

Mathematics

9.1 minutes.

Step-by-step explanation:

Let t represent time taken to fill the tank.

We have been given that a cold water faucet can fill a sink in 12 min, so the part of sink filed in 1 minute would be $\frac{1}{12}$ .

The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be $\frac{1}{15}$ .

The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be $\frac{1}{25}$ .

The part of 1 full tank filled in t minutes, when both faucets are on and the drain is open would be:

$(\frac{1}{12}+\frac{1}{15}-\frac{1}{25})t=1$

Make a common denominator:

$(\frac{1*25}{12*25}+\frac{1*20}{15*20}-\frac{1*12}{25*12})t=1$

$(\frac{25}{300}+\frac{20}{300}-\frac{12}{300})t=1$

$(\frac{25+20-12}{300})t=1$

$\frac{33}{300}t=1$

$\frac{11}{100}t=1$

$\frac{100}{11}\times \frac{11}{100}t=\frac{100}{11}\times1$

$t=\frac{100}{11}$

t=9.0909

$t\approx 9.1$

Therefore, it will take 9.1 minutes to fill the sink.

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