Answer:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Step-by-step explanation:
Given
Represent the rate of the first mechanic with x and the second with y.
So, we have:

The total earnings is: $1850, so we have:

Required
Determine the rate of each
The equations are:
--- (1)
--- (2)
Divide (2) through by 5
--- (3)
Subtract (1) from (3)


Divide through by 2


Substitute 105 for y in (1)

Make x the subject

Substitute 105 for y


Hence:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
7cos(x) + 1 = 6sec(x)
7cos(x) + 1 = 6/cos(x)
7cos^(x) + cos(x) = 6
7cos^(x) + cos(x) - 6 = 0
[7cos(x) - 6][cos(x) + 1] = 0
cos(x) = 6/7 , x = arccos(6/7) and
cos(x) = -1, x = 180
I switched the x and y so it’s easier to see. The answer is (x-1)/(23).
Since Cesar is riding his bike at a constant rate of six miles per hour, and he biked 9 hours you have to multiply 9 by 6.