Answer:
x=-5
Step-by-step explanation:
I did a for #42
2(x-5)=3x+5
simplify
2x-10=3x+5
subtract 2x from both sides
-10=3x+5
subtract 5 from both sides
-15=3x
divide both sides by 3
-5=x
Answer:I think the answer is 5/12.
Step-by-step explanation:
Sorry if I am wrong. :) but it should be correct.
Answer:
Infinitely many solutions
Step-by-step explanation:
-5.9x - 3.7y = -2.1
5.9x + 3.7y = 2.1
If we add these two equations together, -5.9x cancels out 5.9x, -3.7y cancels out 3.7y, and -2.1 cancels out 2.1.
This leaves us with:
0 = 0
Since this is true, that means there are infinite solutions.
Answer: 48 sold-out performances must be played in order for you to break even.
Step-by-step explanation:
Let x represent the number of sold-out performances must be played in order for you to break even.
You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be
2500x + 30000
A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be
3125x
To break even, cost = revenue
Therefore,
2500x + 30000 = 3125x
3125x - 2500x = 30000
625x = 30000
x = 30000/625
x = 48