The number of students taking German or Spanish is 6 + 5 = 11. Of that group of 11, 2 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 11 - 2 = 9 who are taking at least one language. 17 - 9 = 8 students who are not taking either language.

If the tiger has consumed 30 pounds of food in 6 days that's \( \frac{30}{6} \) = 5 pounds of food per day. The tiger needs to consume 50 - 30 = 20 more pounds of food to reach 50 pounds total. At 5 pounds of food per day that's \( \frac{20}{5} \) = 4 more days.

The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. 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 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.

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A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.