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forsale [732]
3 years ago
5

Please help, having a hard time

Mathematics
2 answers:
Stella [2.4K]3 years ago
8 0

Answer:

C

Step-by-step explanation:

Let x = price of one balcony seat and y = price of one orchestra seat

Price of orchestra seat = Price of balcony seat + 6

Or y = x + 6

400 \times price \: of \: orchestra \: seat \:  +  \: 250 \times price \: of \: balcony \: seat \:  = 8250

Or 400y + 250x = 8250

Now that we have to two equations with two variables, we can use either substitution, elimination or graphing to find the prices of the seats.

I attached a picture of the graph. Remember since we set y as the price of the orchestra seat, the y coordinate in the point of intersection will be the price for one orchestra seat. This will be the same for the price of a balcony seat and the x coordinate.

Therefore, the price of one balcony seat is $9 and the price of one orchestra seat is $15.

rosijanka [135]3 years ago
3 0

Answer:

The balcony seat costs $9,  the orchestra seat costs $9 + $6 = $15.

Step-by-step explanation:

Let x is the cost/price of one balcony seat, in dollars.

Then the cost of one orchestra seat is (x+6) dollars, according to the condtion.

The total cost of tickets is  

250x + 400*(x+6) = 8250.

Simplify it step by step.

250x + 400x + 2400 = 8250,

650x = 8250 - 2400 = 5850  ====>  x = 5850/650 = 9.

Answer.  The balcony seat costs $9,  the orchestra seat costs $9 + $6 = $15.

Check.   9*250 + 15*400 = 8250.  Correct.

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  • Derivative Notation

Derivative Property [Multiplied Constant]:
\displaystyle (cu)' = cu'

Derivative Property [Addition/Subtraction]:
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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given.</em>

<em />\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx

<u>Step 2: Integrate Pt. 1</u>

<em>Identify variables for u-substitution/u-solve</em>.

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<u>Step 3: Integrate Pt. 2</u>

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  4. [Integral] Apply Integration Rule [Reverse Power Rule]:
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  5. [<em>u</em>] Back-substitute:
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---

Learn more about integration: brainly.com/question/27746495

Learn more about Calculus: brainly.com/question/27746485

---

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