A plumber charges a flat fee of $76 to visit a home and examine a clogged drain. The plumber charges an additional $24 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes h hours is given by the following.
C=76 +24h
Answer the following questions.

(a) If the plumber charged a total of $364, how many hours did she spend
fixing the drain?
(?hours

(b) What is the total cost for fixing a drain that takes 6 hours?
so $?

(a) 12 hours

(b) $220

Step-by-step explanation:

(a) First we plug in $364 for C

C=76+24h

364=76+24h

Subtract 76 from both sides

24h=288

Divide both sides by 24

h=12

She spent 12 hours fixing the drain

(b) First we plug 6 hours in for h

C=76+24(6)

Multiply it out

C=76+144

Add

C=220

It costs $220 for fixing a drain that takes 6 hours

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2