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.

If the tiger has consumed 48 pounds of food in 6 days that's \( \frac{48}{6} \) = 8 pounds of food per day. The tiger needs to consume 104 - 48 = 56 more pounds of food to reach 104 pounds total. At 8 pounds of food per day that's \( \frac{56}{8} \) = 7 more days.

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

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 = \( 40mph \times 5h \)
200 miles

To subtract these radicals together their radicands must be the same:

4\( \sqrt{12} \) - 7\( \sqrt{3} \)
4\( \sqrt{4 \times 3} \) - 7\( \sqrt{3} \)
4\( \sqrt{2^2 \times 3} \) - 7\( \sqrt{3} \)
(4)(2)\( \sqrt{3} \) - 7\( \sqrt{3} \)
8\( \sqrt{3} \) - 7\( \sqrt{3} \)

Now that the radicands are identical, you can subtract them: