A mixed number is a combination of a whole number and a fraction, so in this case we have 8 as the whole part and 0.45 as the fraction, 0.45 is equal to 45/100, and that fraction can be simplified as well, lets see:
8.45 = 8 45/100
<span>= 8 9/20</span>
I think in this situation the best method would be a guess and check. You know that there are 8 dimes more than there are nickels. So just keep increasing each number by one until you reach $1.40. If there were 9 dimes and 1 nickels it would add up to $0.95. If there were 10 dimes and 2 nickels, it would add up to $1.10. If there were 11 dimes and 3 nickels, it would add up to $1.25. If there were 12 dimes and 4 nickels, it would add up to $1.40. So your answer is 12 dimes and 4 nickels.
I hope this helped!
The way to do is is to write down expression, find factors of each polynomial and than cancel as many as possible. What remains is our simplified version of starting expression.
We start with this:
Now we factor every polynomial
now we can cancel fallowing factors:
5x-3, x-1 and x+5
after that we left with: