Francine has $4.35 in dimes and quarters. the number of dimes is five more than the number of quarters. how many of each coin does she have?

Franchise has 11 quarters and 16 dimes.

Step-by-step explanation:

Let d represent number of dimes and q represent number of quarters.

We have been given that the number of dimes is five more than the number of quarters. We can represent this information in an equation as:

We are also told that Francine has $4.35 in dimes and quarters. We can represent this information in an equation as:

Now, we will substitution method to solve linear equations. Upon substituting equation (1) in equation (2), we will get:

Therefore, Franchise has 11 quarters.

Upon substituting in equation (1), we will get:

Therefore, Franchise has 16 dimes.

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.

180

step-by-step explanation: