The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. 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 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.

The factors of a number are all positive integers that divide evenly into the number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

You have 10 out of the total of 350 raffle tickets sold so you have a (\( \frac{10}{350} \)) x 100 = \( \frac{10 \times 100}{350} \) = \( \frac{1000}{350} \) = 3% chance to win the raffle.

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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

If the tiger has consumed 54 pounds of food in 6 days that's \( \frac{54}{6} \) = 9 pounds of food per day. The tiger needs to consume 117 - 54 = 63 more pounds of food to reach 117 pounds total. At 9 pounds of food per day that's \( \frac{63}{9} \) = 7 more days.