Olivia takes twelve laps on a long track in fifteen minutes. how much time will it take her to skate thirty laps ? a.20.5 minutes b.12 minutes c.37.5 minutes d. 18.5 minutes

C. 37.5 minutes

Step-by-step explanation:

You can set up a proportion to help you figure this out.

12/15=30/x (in this proportion, the number of laps are both on the numerator and the time it takes her is on the denomiator.)

Now, just cross multiply and your equations should be: 12·x=15·30, which equals to 12x=450.

Divide 12 on both sides and x=37.5

C. 37.5 minutes

Step-by-step explanation:

Step 1: Olivia completes 12 laps in 15 minutes.

Find the unit rate. It is nothing time taken to complete 1 lap.

= 15/12

= 1.25 minutes

Step 2: Now find the time taken to complete 30 laps.

Multiply 30 by 1.25

= 30 *1.25

= 37.5 minutes.

Thank you. :)

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you