Operations with Negative Numbers and Ratios

The video tutorial covers various mathematical problems involving rational numbers, including calculating coffee ratios, determining race times, computing sales tax rates, solving expressions with negative numbers, and ordering expressions. It also includes a problem about soap box weight increase and creating expressions with the same value.

What is the ratio of coffee to water in the given problem?

• 6:2

• 2:6

• 1:3

• 3:1

How many tablespoons of coffee are needed for 33 ounces of water?

• 10

• 9

• 12

• 11

If a runner takes 17.5 minutes to run 2.5 kilometers, how long will it take to run 10 kilometers?

• 65 minutes

• 75 minutes

• 60 minutes

• 70 minutes

What is the time taken to run 1 kilometer based on the given pace?

• 7 minutes

• 6 minutes

• 5 minutes

• 8 minutes

What is the sales tax rate if an ice cream cone costs $3.25 and $3.51 with tax?

• 12%

• 6%

• 10%

• 8%

How much is the sales tax in dollars for the ice cream cone?

• $0.26

• $0.30

• $0.20

• $0.28

What is the result of the expression: negative 22 plus 5?

• -15

• -27

• -17

• -19

What is the result of negative 22 minus negative 5?

• -15

• -27

• -17

• -19

What is the result of negative 22 times negative 5?

• -100

• 100

• 110

• -110

What is the result of negative 22 divided by 5?

• -4.5

• -4.6

• -4.4

• -4.2