X = # of perfomances
y = total amount of money
Income: y = 7500x
Expense: y = 5900x + 88000
Substitution:
7500x = 5900x + 88000
1600x = 88000
x = 55
y = 7500(55) = $412,500
55 performances are needed to break-even.
The answer to this problem is 4
Considering the angle of the ray, it is found that the value of x is of x = 55º.
<h3>What is the angle of the ray?</h3>
The ray has an angle of 180º. It is composed by:
Hence:
x + 35 + 90 = 180
x = 180 - 125
x = 55º.
More can be learned about angles and rays at brainly.com/question/25770607
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1. area of a pentagon when 1 side is x is

so if perimiter is 100 then one side is 100/5 or 20
area will be

≈<span>688.2 square yards
2. area of a hexagon when 1 side is length x is

so if permiter is 100 then length of one side is 100/6 or about 16.666666666666
the area will be

≈721.7 square yards
3. area of a regular octagon with side lenghts x is

so if 8 sides then side length of each is 100/8 or 12.5
area will be

≈754.4 square yards
octagon wil have most space
you can tell because the more sides it has, the more it gets to a circle and the more area it encloses with a given perimiter
</span>
Answer:
40
Step-by-step explanation: