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.
Answer:
11/21
Step-by-step explanation:
1/3=7/21
1/7=3/21
(7+3)/21=10/21
21/21-10/21=11/21
Thus 11/21 of the circle is shaded.
Divide by -2 for all of the numbers
64/-32=-2
-32/ 2= -16
-16/2= -8
-8/-2= 4
4/-2= -2
Answer : 4 ,-2
Answer:

Step-by-step explanation:
we know that
The volume of a trough is equal to

where
B is the area of equilateral triangle
L is the length of a trough
step 1
Find the area of equilateral triangle B
The area of a equilateral triangle applying the law of sines is equal to

where


substitute


step 2
Find the volume of a trough

we have


substitute


Answer: ½ x + 6 < 34 ; x < 56
Step-by-step explanation:
- Subtract 6 on both sides. ½ x < 28.
- Divide ½ on both sides. x < 56.