Answer: 
Step-by-step explanation:
1. Let's write the following formula for calculate the area of a rectangle:
Where 
is the lenght (the longer side) and 
is the width (the shorter side).
2. You know that the length is 2.5 times as long as the other side, which indicates a multiplication. Then:
3. So, you must substitute into the equation for calculate the area of the rectangle and then you must simplify.
4. Then, you obtain the following expression:
The correct answe would be 4 all functions are at the same rate
Answer:
B, A, F, H
Step-by-step explanation:
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
#SPJ1
Answer:
x = 37.53
Step-by-step explanation:
Tan theta = opposite/adjacent
tan 47 = x /35
Multiply each side by 35
35 tan 47 = x/ 35 * 35
35 tan 47 = x
37.53290485=x
To two decimal places
x = 37.53
