Given: julianne total startup cost = $52000
Operating cost per day =$680
Earn money from her lesson fee per day = $960
Find out the inequality of situation
Given d be the number of days
To proof: julianne spends on operating cost in d day = $680d
julianne earn from lesson fee in d day = $960d
Total profit in d day = 960d-680d
Part A) Total profit should be greater than 52000. Because this is startup investment.
According to question inequality becomes

Part B) Now solve for d


After 186 days, Julianne will get profit from dance studio.
Our answer is

Our greatest common factor, or GCF, is

, so when we factor is out, our divide each term by

, we get our answer. To check this, we can multiply the

back across the parenthesis and see if we get the same result as our initial question.
Hope this helped! :))
Answer: 7/8
Step-by-step explanation:
Answer:
8 weeks
Step-by-step explanation:
Given Valerie want's to buy a backpack which costs $57.65
Also given that she saves $7.25 a week
Let the number of weeks she saves the money be x
For her to buy the backpack the following inequality should be satisfied
amount saved > cost of the item
The amount saved = 
7.25x > 57.65
x > 7.95
Since x is an integer we have x = 8
Therefore she has to save 8 weeks to buy the item