Answer:
See explanation
Step-by-step explanation:
3(x + 4) + 2 = 2 + 5(x – 4)
Step 1: distributive property
3(x + 4) + 2 = 2 + 5(x – 4)
3x + 12 + 2 = 2 + 5x - 20
Step 2: collect like terms
3x + 12 + 2 = 2 + 5x - 20
3x + 14 = 5x - 18
Step 3: Addition property of equality
3x + 14 = 5x - 18
3x + 14 + 18 = 5x - 18 + 18
3x + 32 = 5x
Step 4: subtraction property of equality
3x + 32 - 3x = 5x - 3x
32 = 2x
Step 5: division property of equality
32 = 2x
32/2 = 2x/2
16 = x
x = 16
The number of people at the break-even point is 1250 and the total ticket sold is $100000
<h3>How do determine the number of people at the break-even point?</h3>
In economics, business, and particularly cost accounting, the break-even point is the point at which total cost and total income are equal, or "even." There is no overall profit or loss.
The cost function is given as:
C(x) = 64x + 20000
The venue charges $80 per ticket. Then the revenue function is
R(x) = 80x
At break-even point, we have
R(x) = C(x)
Substitute the known values in the above equation.
80x = 64x + 20000
Evaluate the like terms
16x = 20000
Divide both sides by 16.
x = 1250
Substitute x = 1250 in R(x) = 80x
R(1250) = 80 * 1250
Evaluate the value.
R(1250) = 100000
Hence, the number of people at the break-even point is 1250 and the total ticket sold is $100000.
Read more about cost and revenue functions at:
brainly.com/question/25188276
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Answer:
Subtract 4 from both sides
Step-by-step explanation:
x+4=14
-4 -4
x=10
On the sheet, it's not even asking you for the dimensions.
It's just asking you to set up the <em>equation that you would use</em>
to find the dimensions. That's a great way to do it, because
nobody actually needs the answers, the whole thing is only
meant to help you learn HOW to find them.
==========================================
Call the width of the window 'W' .
We know that the length is 5 feet more than the width, so the length is (W + 5).
The area is (length times width).
Area = (W + 5) times (W).
36 = (W + 5) W
36 = W² + 5W
Subtract 36 from each side:
W² + 5W - 36 = 0
That's choice-4 .
Answer:
11.29 left
Step-by-step explanation:
30 - 5 = 25 - 6.50 = 18.50 - 7.21= 11.29