Emily is entering a bicycle race for charity. her mother pledged $0.40 for every 0.25 mile she biked. if emily bikes 15 miles, how much will her mother donate?

Her mother will donate $24

Step-by-step explanation:

In order to find this, first find the unit rate. To do so, divide the amount by the number of miles it takes to get that amount.

$0.40/0.25 miles = $1.60 per mile

Now we multiply that by the total number of miles.

$1.60 per mile * 15 miles = $24

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.

5x+2x=49

7x=49

x=7. 35 apples