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MArishka [77]
2 years ago
11

Distribute to create an equivalent

Mathematics
1 answer:
seraphim [82]2 years ago
7 0

Answer:

6 - 16y

Step-by-step explanation:

2(3 – 8y) = 2 × 3 - 2 × 8y = 6 - 16y

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The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
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30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
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To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

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Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

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  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

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