The equation is:
and Julianne will begin making a profit after 168 days.
<em><u>Explanation</u></em>
Her total start-up cost is $52,000.
Each day, she spends $650 on operating costs (like utilities and wages) and she earns $960 per day from her students' lesson fees.
If the number of days to overcome the start-up cost is
, then
the total operation cost spent in
days
and
the total students' lesson fees earned in
days 
<em><u>Part A:</u></em> The equation to represent the situation will be:
<u><em>Part B:</em></u><em> </em><em> </em>Julianne will begin making a profit when....

So, Julianne will begin making a profit after 168 days.
-100 is rational.
-100 can be turned into a fraction by doing the following...
Just put 1 underneath -100 and you get 
So that means it is rational since it can be a fraction!
-5x = x + 6(1-x)
-5x = x + 6(1) + 6(-x)
-5x = x + 6 -6x
-5x = x - 6x + 6
-5x = -5x + 6
-5x + 5x = 6
0 = 6 Not equal. No solution.
(2x-5)² = (2x-1)(2x+1) -10(2x-1)
(2x-5)(2x-5) = (2x-1)(2x+1) - 20x + 10
2x(2x-5)-5(2x-5) = 2x(2x+1)-1(2x+1) - 20x + 10
4x² - 10x -10x + 25 = 4x² + 2x - 2x -1 - 20x + 10
4x² - 20x + 25 = 4x² - 20x - 1 + 10
4x² - 20x + 25 = 4x² - 20x - 9
Not equal. No solution.
Question:
Which of the following options have the same value as 65% of 20?
Choose 2 answers:
(A) 0.65⋅20
(B) 65/100 divided by 20
(C) 65/20 * 100
(D) 65 * 20
Answer:
Option A has the same value as 65% of 20
Step-by-step explanation:
Let x be the value of 65% of 20




Thus 65% of 20 is 13
Now ,
<u>Solving Option A</u>
=> 
=> 13
<u>Solving Option B</u>
=> 65/100 divided by 20
=>
=>
=>0.0325
<u>Solving Option C</u>
=>65/20 * 100
=>
=>
=>325
<u>Solving Option D</u>
=> 65 * 20
=>
=> 1300
X would equal 60 degrees because the degree of the top left area is equal to the degree of the bottom right. So the equation would be x+20=80 so you would solve to get x=60