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pickupchik [31]
2 years ago
10

Elena mixes 5 cups of apple juice with 2 cups of sparkling water to make sparkling apple juice for a party she wants to make 35

cups of sparkling apple juice. how much of each ingredient should Elena use?
Mathematics
1 answer:
Stolb23 [73]2 years ago
3 0

Answer: 25 cups of apple juice and 10 cups of splarking water.


Step-by-step explanation:

1. You have the following information given in the problem:

- She mixes 5 cups of apple juice with 2 cups of sparklin.

- She wants to make 35 cups of sparkling apple juice.

2. Then:

5cups+2cups=7cups (Each lot of sparkling apple juice has 7 cups).

3. As she needs 35 cups, she needs to make 5 lots of sparkling apple juice, because:

\frac{35}{7}=5lots

4. Therefore, you must multiply 5 lots by 5 cups of apple juice and 5 lots by 2 cups of sparkling apple juice. Then, she should use:

A.juice=5*5cups=25cups\\S.water=5*2cups=10cups

5. The answer is:

25 cups of apple juice and 10 cups of splarking water.

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Given the function h(x)=-x^2-5x+14 determine the average rate of change of the function over the interval -9
Juli2301 [7.4K]

Answer:

The average rate of change of the function over the interval is of 6.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function h(x) over an interval [a,b] is given by:

A = \frac{h(b)-h(a)}{b-a}

In this question:

Over the interval [-9,-2], so a = -9, b = -2, b - a = -2 -(-9) = 7

The function is:

h(x) = -x^2 - 5x + 14

h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22

h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20

Then

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The average rate of change of the function over the interval is of 6.

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