If the tiger has consumed 24 pounds of food in 2 days that's \( \frac{24}{2} \) = 12 pounds of food per day. The tiger needs to consume 108 - 24 = 84 more pounds of food to reach 108 pounds total. At 12 pounds of food per day that's \( \frac{84}{12} \) = 7 more days.

The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 16 are [16, 32, 48, 64, 80, 96]. The first few multiples they share are [16, 32, 48, 64, 80] making 16 the smallest multiple 8 and 16 have in common.

First, solve for \( \left|x + 1\right| \):

\( \left|x + 1\right| \) + 5 = -2
\( \left|x + 1\right| \) = -2 - 5
\( \left|x + 1\right| \) = -7

The value inside the absolute value brackets can be either positive or negative so (x + 1) must equal - 7 or --7 for \( \left|x + 1\right| \) to equal -7:

So, x = 6 or x = -8.

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.

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 15mph \times 9h \)
135 miles