The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-3y^6}{6y^4} \)
\( \frac{-3}{6} \) y^{(6 - 4)}
-\(\frac{1}{2}\)y²

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

By buying two shirts, Charlie will save $48 x \( \frac{10}{100} \) = \( \frac{$48 x 10}{100} \) = \( \frac{$480}{100} \) = $4.80 on the second shirt.

So, his total cost will be
$48.00 + ($48.00 - $4.80)
$48.00 + $43.20
$91.20

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.