We need 56 pints of the 55 % <em>pure fruit</em> juice and 84 pints of the 80 % <em>pure fruit</em> juice to prepare 140 pints of 70 % <em>pure fruit</em> juice.
<h3>How to use weighted averages to find the correct juice concentration</h3>
In this problem we have to use two kinds of juice with different concentrations. To get a certain concentration, we must adjust quantities of each kind and <em>weighted</em> averages offers a method that is easy to apply:
70 · 140 = 55 · x + 80 · (140 - x)
70 · 140 = 80 · 140 - 25 · x
25 · x = 10 · 140
x = 56
We need 56 pints of the 55 % <em>pure fruit</em> juice and 84 pints of the 80 % <em>pure fruit</em> juice to prepare 140 pints of 70 % <em>pure fruit</em> juice.
To learn more on weighted averages: brainly.com/question/28042295
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Answer:
He applied the reflection to the pre-image first.
He used an incorrect angle of rotation around point P.
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
256 = x^4
Take the 4th root of both sides.
4^√256 = 4^√x^4
<u>4 = x</u>
