A car wash charges two prices depending on the size of the vehicle. The table shows the number of cars and the number of SUVs washed in the past 3 hours. The total earnings for hours 1 and 2 are given. Each car costs the same price, and each SUV costs the same price. The system of equations can be used to represent the situation.

In the system of equations, x represents the, _and y represents the_.

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are_.

The total cost of 1 car and 1 SUV is $_.

The total earnings for hour 3 are $_.

The missing part of the picture is:
4x + 2y = 84
3x + 5y = 126

see below

Step-by-step explanation:

In the system of equations, x represents the,  price to wash a car and y represents the price to wash an SUV.

If the system of equations is graphed in a coordinate plane, the coordinates (x, y) of the intersection of the two lines are the price of the car wash (x) and the price of the SUV wash (y)______.

x=12 and y = 18

x+y = 12+18 = 30

The total cost of 1 car and 1 SUV is $_30____.

5x+4y = 5(12)+4(18) = 60+ 72 =132

The total earnings for hour 3 are $_132_____.

x: cost of 1 car wash

y: cost of each SUV wash

(12,18)

The total cost of 1 car and 1 SUV is $30

The total earnings for hour 3 are $132

Step-by-step explanation:

4x + 2y = 84

y = 42 - 2x

3x + 5y = 126

3x + 210 - 10x = 126

7x = 84

x = 12

y = 42 - 2(12) = 18

1 car and 1 SUV

12 + 18 = 30

For 3 hours:

5x + 4y

5(12) + 4(18)

132

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: