Two mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. together they charged a total of $1175. what was the rate charged per hour by each mechanic if the sum of the two rates was $170 per hour?

mechanic #1's rate = x

mechanic #2's rate = y

* Their rate is dollars per hour ($/hr)

mechanic #1 worked for 20 hours (hr × $/hr = $)

20x = money earned by mech#1

and mechanic #2 worked for 5 hours

5y = money earned by mech#2

together they charged a total of $1150. So the amount of money earned by both mechanics.

20x + 5y = 1150

the sum of the two rates was $95 per hour.

x + y = 95

which means

x = 95 - y

plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.

20(95 - y) + 5y = 1150

solve for y

1900 - 20y + 5y = 1150

1900 - 15y = 1150

-15y = 1150 - 1900

-15y = -750

y = -750/-15

y = 50 $/hr

Now use this to solve for x

x + y = 95

x + 50 = 95

x = 95 - 50

x = 45 $/hr

mech#1 charged 45$/hr

mech #2 charged 50$/hr

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

i believe the answer is the polygon, heptagon.