Liz's Bakery recently spent a total of $200 on new equipment, and their average hourly operating costs are $10. Their average hourly receipts are $18. The bakery will soon make

back the amount it invested in equipment. What would the total expenses and receipts both

equal?

25 hours

Step-by-step explanation:

Given that:

New equipment cost = $200

Hourly operating cost = $10

Hourly receipt = $18

Let h = time

$200 + 10h = total expenses after h hours

18h = total receipts after h hours

Time when expenses and receipts be equal :

$200 + 10h = 18h

200 = 18h - 10h

200 = 8h

h = 200 / 8

h = 25

Hence, expenses will equal receipts after 25 hours

Jack was planting a tree. He was to dig a hole that was 3 feet deep for every 5 feet of tree height. How deep should he dig the hole for a tree that is 17feet high. 

Calculations 

 

Cross multiplication

=  

5x = 2 x 13 

Divide by 5 to isolate x

=  

x = 10.2 

Answer = 10.2