Evaluate the following to determine the value of 𝑛:
(83)n
(
8
3
)
= 812
8
12
(2 points)
Responses

n = 9
n = 9

n = 4
n = 4

n = 2
n = 2

n = 1
n = 1
The value of n is 1.
Inessa ran 3 laps in 10 minutes. How long would it take her to run 5 laps at this pace?(1 point)
Responses

1 12 minutes
1
1
2
minutes
1 12 minutes
1
1
2
minutes

15 minutes
15
minutes
15 minutes
15
minutes

16 23 minutes
16
2
3
minutes
16 23 minutes
16
2
3
minutes

20 minutes
To find the time it would take Inessa to run 5 laps at the same pace, we can use a proportion:
3 laps / 10 minutes = 5 laps / x minutes
Cross multiplying, we get:
3x = 50
Dividing both sides by 3, we find:
x = 16.67 minutes
So, it would take her approximately 16.67 minutes to run 5 laps at this pace.
Pick one of the answers
16 2/3 minutes
The table shows how many pizzas (y) kenneth can make per hour (x). Determine if the relationship is proportional and if so, its constant rate of proportionality. X 0 1 2 3 4 Y 0 4 8 12 16
To determine if the relationship is proportional, we need to see if the ratio of y to x is constant.
Looking at the values in the table, we can see that for every x increase of 1, y increases by 4.
So, the ratio of y to x is constant: 4/1 = 4.
Therefore, the relationship is proportional with a constant rate of proportionality of 4.
When 1 cup of popcorn kernels are popped, they create 5 bowls of popped corn. How many bowls of popcorn would 8 cups of kernels produce?
If 1 cup of popcorn kernels produces 5 bowls of popped corn, then we can set up a proportion to find out how many bowls of popcorn would 8 cups of kernels produce.
Let x represent the number of bowls of popcorn produced by 8 cups of kernels.
1 cup / 5 bowls = 8 cups / x bowls
To solve for x, we can cross multiply:
1 * x = 5 * 8
x = 40
Therefore, 8 cups of popcorn kernels would produce 40 bowls of popped corn.
Rebecca bought a game in Miami. The game was $30. Miami has a 7% sales tax. How much money did Rebecca pay for the video game including sales tax?
To calculate the total amount Rebecca paid for the video game including sales tax, we need to add the sales tax to the original price.
Sales tax = 7% of $30 = (7/100) * $30 = $2.10
Therefore, the total amount Rebecca paid, including sales tax, is $30 + $2.10 = $32.10.