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:
1 1/3 and 2 5/6
Step-by-step explanation:
First you find 1 on the number line. Then, since it's divided into sixths, you convert 1/3 to 2/6. Then you can move 2 places to the right from 1.
To find 2 5/6 you first start at 2. Then you move 5 places to the right and plot your point.
Write an equation based on the problem in the terms of x and solve the equation
first number + second number + third number = 240
x + x + 1 + x + 2 = 240
3x + 3 = 240
3x = 240 - 3
3x = 237
x = 237/3
x = 79
The smallest number, x, is equal to 79
Find the next two numbers
the second number = x + 1
the second number = 79 + 1
the second number = 80
the third number = x + 2
the third number = 79 + 2
the third number = 81
ANSWER: The three numbers are 79, 80, 81
The Area of the fabric required is 3.6 square feet
The square's side length is 3 feet.
Due to the fact that Lin is creating a window covering for a window that is half circle-shaped on top of a square.
The window covering must therefore be a semicircle with a 3-feet diameter.
thus the semicircle's radius is equal to d/2 = 3/2 feet
Now, the Area of the semicircle,
Putting the value of the radius in the equation, we have,
Hence, The Area of the fabric required = 3.6 square feet
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