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tia_tia [17]
3 years ago
10

A 12- pack of 8- ounce juice boxes costs $5.90. How much would an 18- pack of the same 8- ounce juice boxes cost?

Mathematics
1 answer:
stira [4]3 years ago
6 0

Answer:

$8.85

Step-by-step explanation:

This a question of direct variation, so we can make out a relationship between the two factors. 12 is 2/3 of 18, so the cost of 12 would also be 2/3 of the cost of 18. We can now make an equation to solve.

\frac{2}{3} x=5.9\\2x=17.7\\x=8.85

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Answer:

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Step-by-step explanation:

We are given that:

f'(0) = 5 \text{ and } F(x) = f(3x)

And we want to find F'(0).

First, find F(x):

\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]

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\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}

Then:

\displaystyle \begin{aligned} F'(0) & = 3f'(3(0)) \\ \\ & = 3f'(0) \\ \\ & = 3(5) \\ \\ & = 15\end{aligned}

In conclusion, F'(0) = 15.

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