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
Learn more about substitution method at:
#LearnwithBrainly
Answer:
The volume of the sphere is 1436 in³
The equation is
V = ⁴⁄₃ * 3.14 * (7ft)³
Step-by-step explanation:
radius = half of diameter
d = 14ft
r = 14ft / 2 = 7ft
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius = 7ft
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * (7ft)³
V = 4.187 * 343 in³
V = 1436 in³
The volume of the sphere is 1436 in³
Answer:
x=ln(61)/ln(4)
Step-by-step explanation:
4^x+3=64
4^x=64-3
4^x=61
x=ln(61)/ln(4)
Hope this helps! This is how you do it.