Given:
Number of passengers seated in the roller coaster = 21
Empty seats = 3
Number of cars in roller coaster = 4 (each with the same number of seats)
To find:
An equation that can be used to determine the number of seats in each car.
Solution:
Let s be the number of seats in each car.
Total number of seats in 4 cars = 4s
Using the given information,
Total number of seats = Occupied seated + Empty seats
= 21 + 3
= 24
Now, the required equation is

Therefore, the required equation is
.
Divide both sides by 4.


Therefore, the number of seats in each car is 6.
Answer:
5
Step-by-step explanation:
3+2x = 4x-7
3+7=4x-2x
x=5
Answer:
tanΘ = - 
Step-by-step explanation:
Using the trigonometric identity
tan²Θ + 1 = sec²Θ, thus
tan²Θ + 1 = (
)² =
( subtract 1 from both sides )
tan²Θ =
( take the square root of both sides )
tanΘ = ± 
Since 270 < Θ < 360 , that is the fourth quadrant where tan Θ < 0, thus
tanΘ = - 
Answer:
g = 12
Step-by-step explanation:
Inequality is 4g + 12 < 60
Solving for g,
4g < 60 - 12
4g < 48
Divide both sides by 4,
g < 48 / 12
g < 12
The total amount of gas she can buy is 12 gallons