Retro rides is a club for owners of vintage cars and motorcycles. every year the club gets together for a ride. this year, 38 vehicles participated in the ride. the total number of tires of all the vehicles was 114. assuming each car has 4 tires and each motorcycle has 2 tires, how many each of cars and motorcycles participated in the ride? a. 16 cars; 22 motorcycles b. 23 cars; 15 motorcycles c. 19 cars; 19 motorcycles d. 21 cars; 17 motorcycles

C. 19 cars; 19 motorcycles

Step-by-step explanation:

Let c represent the number of cars and m represent the number of motorcycles that participated this year.

This year a total of 38 vehicles participated. So, we can write the equation as:

c + m = 38                                                (Equation 1)

Each car has 4 tires, so number of tires in c cars will be 4c.

Each motorcycle has 2 tires, so number of tires in m motorcycles will be 2m.

In total there were 114 tires, so we can set up the equation as:

4c + 2m = 114                                          (Equation 2)

From equation 1, m = 38 - c. Using this value in Equation 2, we get:

4c + 2(38 - c) = 114

4c + 76 - 2c = 114

2c = 114 - 76

2c = 38

c = 19

Using this value in equation 1, we get:

19 + m = 38

m = 19

Thus, 19 cars and 19 motorcycles participated in the ride.

y-1700=200(x+4)

step-by-step explanation:

200(x+4) is 200x + 800 she is saving 200 per week x is the weeks and the -1700 is. us that’s howmuch she already had

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40