Theresa has $12 in nickels amd quarters if she has the same number of each kind of coin how many nickels and quarters does she have?

n=# of nickels

q=# of quarters

$12 is 1200 cents

5n+25q=1200

n=q

substitute q for n or n for q

5q+25q=1200

30q=1200

q=1200/30

q=40 quarters and therefore n=40 nickels

40 quarters is $10 and 40 nickels is $2, therefore you have $12

Hope this helps.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.