A plumber charges his customers $25.70 per hour, h, plus a $54.50 service fee. On Tuesday, he earns $118.75 for fixing Mrs. Goodwill's sink. How long does it take the plumber to fix Mrs. Goodwill's sink

2.5 hours

Step-by-step explanation:

Given that :

Charge per hour = 25.70

Service fee = $54.50

If total earning = 118.75 ; how many hours did it take to fix the sink?

Let number of hours = x

Total earning = service fee + (charge per hour * number of hours)

118.75 = $54.50 + (25.70x)

118.75 - 54.50 = 25.70x

64.25 = 25.70x

x = 64.25 / 25.70

x = 2.5

Hence, it took 2.5 hours to fix the sink

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3