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2 years ago

Alex bought 3 tacos for $4.00. How much would she have to pay for 10 tacos at this rate?

Mathematics

1 answer:

PtichkaEL [24]2 years ago

7 0

Answer = 13$
Explanation = This would mean each taco would be roughly 1.3$ since 4/3=1.333, so 1.3x10=13$

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A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 5 hours, while the outlet pipe can empty it

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Answer:

$time=40/3hours\approx 13.3hours$

Step-by-step explanation:

The rates are additive: you can calculate the inlet rate and the outlet rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.

1. Inlet rate:

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2. Outlet rate:

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3. Net rate:

$\text{Inlet rate - outlet rate}=1vat/5hours-1vat/8hours\\\\ \text{Net rate}=(8-5)vat/40hour=3vat/40hour=(3/40)vat/hour$

4. Time to fill the vat

$rate=amount/time\implies time=amount/rate\\ \\ time=1vat/(3vat/40hour)$

$time=40/3hours\approx 13.3hours$

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