Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together they charged a total of $2375. What was the rate charged per hour by each mechanic if the sum of the two rates was $130 per hour.

The answer to your question is mechanic 1 = $85, mechanic 2 = $45

Step-by-step explanation:

Data

mechanic 1 = m₁ = 20 h

mechanic 2 = m₂ = 15 h

total charge = $2375

two rates = $130

Process

1.- Write the equations to solve this problem

                   20m₁ + 15m₂ = 2375          Equation l

                        m₁ + m₂  =  130               Equation ll

2.- Solve the system of equations by elimination. Multiply equation ll by -15

                    20m₁ + 15m₂ = 2375

                  - 15 m₁ - 15 m₂ = -1950

                      5m₁              = 425

                                   m₁ = 425/5

                                    m₁ = 85

3.- Calculate m₂

                      85 + m₂ = 130

                               m₂ = 130 - 85

                               m₂ = 45

answer: y = -12x + 108

step-by-step explanation: do (y = m x+b) formula.

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.