Two mechanics worked on a car. the first mechanic charged $45 per hour, and the second mechanic charged $120 per hour. the mechanics worked for a combined total of 35 hours, and together they charged a total of $2700. how long did each mechanic work

First mechanic worked for 20 hours and second mechanic worked for 15 hours.

Solution:

Given, Two mechanics worked on a car.  

The first mechanic charged $45 per hour, and the second mechanic charged $120 per hour.  

The mechanics worked for a combined total of 35 hours, and together they charged a total of $2700.  

We have to find how long did each mechanic work.

Let the time worked by 1st mechanic be t hours then time taken by 2nd mechanic will be 35 – t hours.

Now, according to given information,  

45 x t + 120 (35 – t) = 2700

45t + 120 35 – 120t = 2700

-75t + 4200 = 2700

75t = 4200 – 2700

75t = 1500

t = 20

hence, 1st mechanic worked for 20 hours and 2nd mechanic worked for 35 – 20 = 15 hours.

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13

q1 a person or thing situated away or detached from the main body or system. a cluster is a a mash of many things.

q2 do

step-by-step explanation: