Answer:
Adult = $7
Kids = $4
Step-by-step explanation:
Before we can find the price of the tickets, we first need to create expressions that can be used to explain the prices.
Let x = Price of kids tickets
Let y = Price of adults tickets
For this week the expression is:
3x + 9y = 75
For the last week the expression is:
8x + 5y = 67
Now to be able to find the value of x or y, we can use the Solving Linear Equations by Multiplying First Method.
3x + 9y = 75
8x + 5y = 67
Now we need to remove either the x or y by multiplying the whole expressions by a certain number.
8(3x + 9y = 75)
24x + 72y = 600
3(8x + 5y = 67)
24x + 15y = 201
Now that we have our equations and we can eliminate the x by subtracting both expressions.
24x + 72y = 600
<u>- 24x + 15y = 201</u>
57y = 399
To find the value of y, we divide both sides by 57.

y = 7
Now that we have the value for y, we simply substitute the value in any of our expressions.
3x + 9y = 75
3x + 9(7) = 75
3x + 63 = 75
3x = 75 - 63
3x = 12
Now we divide both sides by 3 to find the value of x.

x = 4
So the ticket prices are:
Adult = $7
Kids = $4
Answer:
3.3h-3.1d-17
Step-by-step explanation:
Si tiene que divide 212/100=53/25
The first question is (7)
Recall that the volume of a regular prism is given by the area of the base times the height.
Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by

Therefore, the volume of the prism is given by