<h3>
Answer:</h3>
7) 0.76 is a rational number
8) The list of favorable outcomes is {orange pop #1, orange pop #2}.
<h3>
Step-by-step explanation:</h3>
7) The product 0.4 × 1.9 is 0.76. This is not an integer, whole number, or natural number. It is a decimal fraction of finite length, so is a rational number.
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8) Often, a problem of this sort will ask for the probability of an orange pop outcome. This problem doesn't ask that. Rather it asks what the possible orange pop outcomes are. Drawing one orange pop from the box will give you one of ...
- orange pop #1
- orange pop #2
These are the possible outcomes.
Answer:
36 pieces
Step-by-step explanation:
4 1/8 ft x 4 1/8 ft = 49.5 in x 49.5 in = 2450.25 in^2
8.25 in x 8.25 in = 68.06 in^2
2450.25/68.06 = 36 pieces
checking for scrap loss:
49.5/8.25 = 6
so no scrap loss
Answer: 67
Step-by-step explanation:
3x^2 + 5x + 25
x = 3
3(3)^2 + 5(3) + 25
3^2 = 9
3(9) + 5(3) + 25
3 * 9 = 27
27 + 5(3) + 25
5 * 3 = 15
27 + 15 + 25
27 + 15 = 42
42 + 25 = 67
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