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3 years ago

Help please !! 20 points

Mathematics

1 answer:

Readme [11.4K]3 years ago

8 0

For the table 0.2 would be (1/5) 0.5 would be (1/2). And 0.7 would be (7/10).

For number 2 I would say the denominator changed each time

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Answer: a) The figure can be reasonably divided into two geometries:

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Step-by-step explanation:

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A cold-water faucet can fill a sink in 1212 min, and a hot-water faucet can fill it in 1515 min. The drain can empty the sink

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Answer:

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:

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

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

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

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

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

$t=9.0909$

$t\approx 9.1$

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

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