In 60 seconds, a car in a parade travels 0.2 mile. The car traveled the last 0.05 mile in 12 seconds. How long did it take for the car to travel 0.1 mile?

First 0.1 miles: 32 seconds

Last 0.1 miles: 28 seconds

Step-by-step explanation:

The car traveled 0.2 mile in 60 seconds.

The last 0.05 miles were done in 12 seconds.

Then the first 0.2 - 0.05 = 0.15 miles were done in 60 - 12 =  48 seconds. The speed of the car was: 0.15/48 = 0.003125 mi/s

At this speed it takes 0.1/0.003125 = 32 s to travel the first 0.1 mile.

In the second 0.1 mile, 0.05 miles are done at the same speed than before. It takes 0.05/0.003125 = 16 s, the next 0.05 miles were traveled in 12 seconds,  making a total of 16+12 = 28 seconds

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

(-1,-0.5)

step-by-step explanation: