If the tiger has consumed 90 pounds of food in 10 days that's \( \frac{90}{10} \) = 9 pounds of food per day. The tiger needs to consume 117 - 90 = 27 more pounds of food to reach 117 pounds total. At 9 pounds of food per day that's \( \frac{27}{9} \) = 3 more days.

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.

You have 15 out of the total of 300 raffle tickets sold so you have a (\( \frac{15}{300} \)) x 100 = \( \frac{15 \times 100}{300} \) = \( \frac{1500}{300} \) = 5% chance to win the raffle.

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))². If the diameter of the logo increases by 40% the radius (and, consequently, the total area) increases by \( \frac{40\text{%}}{2} \) = 20%

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{6!}{5!} \)
\( \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{6}{1} \)
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