Answer:
x=8
z = 115
Step-by-step explanation:
65 and 13x - 39 are vertical angles so they are equal
65 = 13x - 39
Add 39 to each side
65+39 = 13x - 39+39
104 = 13x
Divide each side by 13
104/13 = 13x/13
8 =x
65 and z are supplementary angles because they form a straight line. This means they add to 180
65+z = 180
Subtract 65 from each side
65+z-65 = 180-65
z = 115
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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Given: £90 is divided among Aahil, James and Merav in the ratio 1:3:5.
To find: How much Merav gets.
Answer:
Let's assume the shares of each to be 'x'.
This implies that 1x + 3x + 5x = 90.
9x = 90
x = 90/9
x = 10
Substituting this value of x in the ratio,
- 1 × 10 = 10 [<em>Aahil's share</em>]
- 3 × 10 = 30 [<em>James' share</em>]
- 5 × 10 = 50 [<em>Merav's share</em>]
Therefore, Merav gets £50.
Hope it helps. :)
