There are 300 seats in the theater.
Step-by-step explanation:
Given,
Cost of one VIP ticket = $20
Cost of one regular ticket = $8
Worth of sold out tickets = $3600
Let,
x represent the number of VIP tickets sold
y represent the number of regular tickets sold
20x+8y=3600 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 36

Putting x=100 in Eqn 2

Total = x+y = 100+200 = 300
There are 300 seats in the theater.
Keywords: linear equation, substitution method
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Answer:
12+8x
Step-by-step explanation:
By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.
The dependent value is determine by the value of the independent value. in other words, the dependent value is what you get when you take the independent value and substitute it in the original equation or situation. The relationship is multiplicative because you must first multiply the independent value in the equation where the x is before you can add or subtract to get your answer.<span />
Step-by-step explanation:
Answer C)
Explanation:
MN + NP = MP
MP = 39
Therefore, 4(x + 5) + 2x + 1= MP
So, 4(x + 5) + 2x + 1= 39
(4x + 20) + 2x +1 = 39
So, (4x + 2x) + (20 + 1) = 39
6x + 21 = 39
Addition changes to Subtraction
So, 6x = 39 - 21
6x = 18
Multiplication changes to Division
x= 18/6
x=3
Therefore MN = 4(x + 5)
So, 4(3 + 5) = 4(8)
4(8) = 32
Therefore, MN = 32
Hope this helps!
Geometric mean is the square root of the product of the two numbers: