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Mazyrski [523]
3 years ago
6

a group of 19 students want to see the show at the planetarium. Tickets cost $11 for each student who is a member of the planeta

rium's frequent visitor program and $13 for each student who is not a member. The total cost of the students' tickets is $209. write an equation
Mathematics
1 answer:
natima [27]3 years ago
7 0
Make a systems of equations:

11x+13y=209
x+y=19


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X + y = 8 <br> how do i solve for x
IgorC [24]

Answer:

x = 8 - y

Step by step explaination:

==>x + y = 8

==> x = 8 - y

==> substract the value

==> Done

5 0
2 years ago
Please Please Please help with this math problem
katovenus [111]
  1. The revenue as a function of x is equal to -x²/20 + 920x.
  2. The profit as a function of x is equal to -x²/20 + 840x - 6000.
  3. The value of x which maximizes profit is 8,400 and the maximum profit is $3,522,000.
  4. The price to be charged to maximize profit is $500.

<h3>How to express the revenue as a function of x?</h3>

Based on the information provided, the cost function, C(x) is given by 80x + 6000 while the demand function, P(x) is given by -1/20(x) + 920.

Mathematically, the revenue can be calculated by using the following expression:

R(x) = x × P(x)

Revenue, R(x) = x(-1/20(x) + 920)

Revenue, R(x) = x(-x/20 + 920)

Revenue, R(x) = -x²/20 + 920x.

Expressing the profit as a function of x, we have:

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = -x²/20 + 920x - (80x + 6000)

P(x) = -x²/20 + 840x - 6000.

For the value of x which maximizes profit, we would differentiate the profit function with respect to x:

P(x) = -x²/20 + 840x - 6000

P'(x) = -x/10 + 840

x/10 = 840

x = 840 × 10

x = 8,400.

For the maximum profit, we have:

P(x) = -x²/20 + 840x - 6000

P(8400) = -(8400)²/20 + 840(8400) - 6000

P(8400) = -3,528,000 + 7,056,000 - 6000

P(8400) = $3,522,000.

Lastly, we would calculate the price to be charged in order to maximize profit is given by:

P(x) = -1/20(x) + 920

P(x) = -1/20(8400) + 920

P(x) = -420 + 920

P(x) = $500.

Read more on maximized profit here: brainly.com/question/13800671

#SPJ1

3 0
2 years ago
What is the average rate of change of h over the interval (2,6) ?<br> Give an exact number.
Viktor [21]

Answer:

3

Step-by-step explanation:

3 0
3 years ago
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Express each fraction as a decimal 20 25
aleksandrvk [35]

20/25 as a decimal is 0.8
4 0
3 years ago
In triangle ABC , M and N are midpoints of sides. If MN = 2x + 5 and BC = x2 − 2, find the possible lengths for MN.
Karo-lina-s [1.5K]

Answer:

A.17

Step-by-step explanation:

3 0
3 years ago
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