Thrifty parking garage has 40 parking spaces. each space can be used by a
car or a motorcycle (no trucks). one day when all 40 spaces are in use, the
owner walks through the garage and looks at each vehicle. he tells his
assistant, "there are 152 wheels in this garage right now." how many
motorcycles are in the garage?

4 motorcycles.

Step-by-step explanation:

Let x represent number of cars and y represent number of motorcycles.

We have been given that Thrifty Parking Garage has 40 parking spaces. We can represent this information in an equation as:

The number of wheels in y motorcycles would be .

The number of wheels in x cars would be .

We have been given that there are 152 wheels in this garage. We can represent this information in an equation as:

Form equation (1), we will get:

Substitute this value in equation (2):

Therefore, there are 4 motorcycles in the garage.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!