Two mechanics worked on a car. the first mechanic charged  $95   per hour, and the second mechanic charged  $60   per hour. the mechanics worked for a combined total of  20   hours, and together they charged a total of  $1375 .  how long did each mechanic work?

Mechanic A worked for 5 hours and Mechanic B worked for 15 hours

I hope my answer and explanation helped!

okay to get started you need to make a system of equations:

x= number of hours worked by mechanic A

y= number of hours worked by mechanic B

x + y= 20

95x + 60y= 1375

substitute in an equation:

x + y= 20

y= 20- x

95x + 60(20-x)=1375

Solve for x

95x + 1200 - 60x=1375

35x =175

x= 5

plug in x to solve for y

x + y= 20

5 + y= 20

y=15

Check work

then you're done :D

correct answers below:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet