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iris [78.8K]
3 years ago
7

If you need 3 cups of flour for 1 batch of cookies, how many cups of flour will you need for 3 batches of cookies?

Mathematics
2 answers:
Kaylis [27]3 years ago
7 0

Answer:

9 cups of flour

Step-by-step explanation:

\frac{3}{1} =\frac{y}{3}

3:1 = y:3

1 × y = 3 × 3

y = 9

9 cups of flour

Maslowich3 years ago
4 0

Answer:

1 batch = 3cups

so, we need to find how many cups of flour we'll need for 3 batches if 1 batch equals 3 cups....

1 batch = 3 cups

X

3 batches = a

a= 3 batches x 3 cups

= 9 cups

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3 years ago
A home gardener estimates that 18 apple trees will produce an average yield of 80 apples per tree. But because of the size of th
aliina [53]

19 trees should be planted to maximize the total

<h3>How many trees should be planted to maximize the total</h3>

From the question, we have the following parameters:

Number of apples, x = 18

Yield, f(x) = 80 per tree

When the number of apple trees is increased (say by x).

We have:

Trees = 18 + x

The yield decreases by four apples per tree.

So, we have

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So, the profit function is

P(x) = Apples * Yield

This gives

P(x) = (18 + x) *(80 - 4x)

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P(x) = 1440 - 72x + 80x - 4x^2

Differentiate the function

P'(x) = 0 - 72 + 80 - 8x

Evaluate the like terms

P'(x) = 8 - 8x

Set P'(x) to 0

8 - 8x = 0

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x = 1

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Trees = 18 + x

So, we have

Trees = 18 + 1

Evaluate

Trees = 19

Hence, 19 trees should be planted to maximize the total

Read more about quadratic functions at:

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