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anyanavicka [17]
2 years ago
6

Producing a musical costs $88,000 plus $5900 per performance. one sold out performance earns $7500 in revenue. If every performa

nce sells out, how many performances are needed to break even?
Mathematics
1 answer:
yan [13]2 years ago
5 0
X = # of perfomances

y = total amount of money

Income: y = 7500x

Expense: y = 5900x + 88000



Substitution:

7500x = 5900x + 88000

1600x = 88000

x = 55

y = 7500(55) = $412,500

55 performances are needed to break-even.
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A circle has a radius of 6. An arc in this circle has a central angle of 330
sashaice [31]

Answer: Arc\ lenght\approx34.55\ units

Step-by-step explanation:

<h3> The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3></h3>

To solve this exercise you need to use the following formula to find the Arc lenght:

Arc\ lenght=2\pi r(\frac{C}{360})

Where "C" is the central angle of the arc (in degrees) and "r" is the radius.

In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:

r=6\ units\\\\C=330

Therefore, knowing these values, you can substitute them into the formula:

Arc\ lenght=2\pi (6\ units)(\frac{330}{360})

And finally,you must evaluate in order to find the Arc lenght.

You get that this is:

Arc\ lenght=2\pi (6\ units)(\frac{11}{12})\\\\Arc\ lenght=11\pi \ units\\\\Arc\ lenght\approx34.55\ units

3 0
2 years ago
Read 2 more answers
you go to Frontier City with your parents, brother and sister. The cost for adults is $12.50, and the cost for children is $8.00
noname [10]

9514 1404 393

Answer:

  cost for adults: 2×$12.50

  cost for children: 3×$8.00

  total cost: 2×$12.50 +3×$8.00

  $49.00

Step-by-step explanation:

Assuming I, my brother, and my sister qualify for children's tickets, we have ...

  cost for adults: 2×$12.50

  cost for children: 3×$8.00

  total cost: 2×$12.50 +3×$8.00

Evaluation:

  $25.00 +24.00 = $49.00 . . . . . . . multiplication is performed first

3 0
2 years ago
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Levart [38]

The area of the figure i can see is 68.89 cm squared

7 0
3 years ago
Read 2 more answers
What is the solution to the system of equations?
Yuri [45]

Answer:

No solution

Step-by-step explanation:

Note how "2x" shows up in both equations.  This suggests doing a substitution to solve the system.

Focus first on the first equation.  Solving 2x - y = 7 for 2x, we get:

2x = y + 7.

Next, we substitute y + 7 for 2x in the second equation:

y = (y + 7) + 3.

Simplifying this produces:

0 = 10

This is not true and can never be true.  Thus, this system has no solution.

6 0
3 years ago
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What is the lcm of 16, 24 and 40
ivann1987 [24]
The answer is 240

Explanation: The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly. NOTE: to find LCM you first need to know how to find GCD.

First we will find LCM for first two numbers ( 16 and24 ).

Step 1: Find the GCD (Greatest Common Divisor ) of 16 and 24 which is 8.

Step 2: Multiply the numbers 16 and 24 together ( 16 * 24 = 384 )

Step 3: Divide the 384 with 8. (384/8 = 48)

So, the LCM of 16 and 24 is 48.

Now we will find the LCM of above result (48) and third number ( 40 ) using the same procedure.

The result of this part is 240

8 0
3 years ago
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