Answer: 12 yearly admissions and 38 single admissions
Step-by-step explanation:
Let x be yearly membership
Let y be single admission
x+y=50 --> # of tickets sold
35.25x+6.25y=660.50 --> $ of tickets
Use elimination method to solve (multiply equation 1 by -3525 and equation 2 by 100)
-3525x-3525y=-176250
+ 3525+625y=66050
-----------------------------------
-2900y=-110200
y=38
Substitute y=38 into equation 1
x+38=50
x=12
Therefore, 12 yearly admissions and 38 single admissions were sold
Answer:
600 Cheese and 900 Pepperoni
Step-by-step explanation:
Setup the equation with 2c(Cheese) + 2.5p(Pepperoni) = $3450(Total Made).
In addition to the equation c + p = 1500(Number of pizzas sold)
Using the second equation (c + p = 1500) solve for one of the variables.
Lets use :
- p = 1500 - c
- Plus this equation into the original equation, 2c + 2.5(1500 - c) = 3450
- Distribute 2.5, 2c + 3750 - 2.5c = 3450
- Combine like terms -0.5c + 3750 = 3450
- Solve for c: c = 600
- Plus 600 in for c into any equation ( lets use c + p = 1500)
- 600 + p = 1500
- P = 900
The price p based on the equation given is p = 3000 - 0.1x.
<h3>How to express the price?</h3>
The equation given in the question is x = 3000 - 10p. The price(p) will be:
x = 3000 - 10p.
Make p the subject of the formula
x + 10p = 3000
10p = 3000 - x
p = (3000 - x)/10
p = 3000 - 0.1x
The revenue will be price multiplied by quantity. This will be:
= (3000 - 0.1x) × x
= 3000x - 0.1x²
The marginal revenue will be calculated after differentiating. This will be:
= 3000x - 0.1x²
= 3000 - 0.2x
The demand which is the quantity based on the information will be:
3000 - 0.2x = 0
0.2x = 3000
x = 1500
Learn more about demand on:
brainly.com/question/1245771
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Answer:
72 cubes
Step-by-step explanation:
Top view of the rectangular prism shows the unit cubes arranged in two rows along the length.
In each row number of unit cubes arranged = 9
Right view side of the prism shows the unit cubes arranged in two columns.
Number of unit cubes in each column = 4
Total number of cubes arranged in the prism = (Number of cubes in each row × Number of cubes arranged in two columns) × Number of columns
= (9 × 4) × 2
= 72
Therefore, number of cubes filled completely in the prism with no gaps = 72
