Answer: The consultant earn $50 each hour.
Explanation:
It is given that for 4 hours of work, the consultant charges $400. For 5 hours of work, she charges $450. The amount that a consultant charges for her work can be modeled using a linear function.
If the linear function represents the amount earn by consultant in hours the the coordinates can be written as (4, 400) and (5, 450).
If we want to find how much money does the consultant earn each hour, so first we have to find the slope of linear function which passing through two points (4, 400) and (5, 450).




In the linear function the slope show the earning of consultant per hour, therefore consultant earn $50 each hour.
18y + 9 = -12 + 18y
9=-12
I hope that’s right... I haven’t done this in ages
Answer: Last option.
Step-by-step explanation:
The total amount of concrete in the ramp (
) will be the sum of the volume of the rectangular prism (
) and the volume of the triangular prism (
)

The formulas are:

Where "l" is the lenght, "w" is the width and "h" is the height.

Where "l" is the lenght, "b" is the base and "h" is the height.
Substituting, we get:

Answer:
15x(5xy15)((−5x−13)(y3))
=
−375x2y18
x13
=
−375y18
x11
Step-by-step explanation: