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Ludmilka [50]
3 years ago
6

Charlene and Gary want to make perfume. In order to get the right balance of ingredients for their tastes they bought 3 ounces o

f rose oil at $4.03 per ounce, 2 ounces of ginger essence for $3.42 per ounce, and 4 ounces of black currant essence for $3.92 per ounce. Determine the cost per ounce of the perfume. The cost per ounce of the perfume is $ (Round to the nearest cent.)
Mathematics
1 answer:
Lapatulllka [165]3 years ago
5 0

Answer:

  $3.85 per ounce

Step-by-step explanation:

If we assume that all of the purchased ingredients are used in a mixture, their total cost is ...

  3(4.03) +2(3.42) +4(3.92) = 34.61

The total quantity of mix is ...

  3 + 2 + 4 = 9 . . . ounces

Then the cost per ounce is ...

  $34.61/(9 oz) ≈ $3.85 /oz

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In general the binomial expansion is


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So in our case, because we want ascending powers of x we'll write,


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