The amount of flour you need is (1\(\frac{7}{8}\) - 1) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{15}{8} \) - \( \frac{8}{8} \)) cups
\( \frac{7}{8} \) cups
\(\frac{7}{8}\) cups

You have 10 out of the total of 250 raffle tickets sold so you have a (\( \frac{10}{250} \)) x 100 = \( \frac{10 \times 100}{250} \) = \( \frac{1000}{250} \) = 4% chance to win the raffle.

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.

First, solve for \( \left|z - 4\right| \):

\( \left|z - 4\right| \) + 2 = 1
\( \left|z - 4\right| \) = 1 - 2
\( \left|z - 4\right| \) = -1

The value inside the absolute value brackets can be either positive or negative so (z - 4) must equal - 1 or --1 for \( \left|z - 4\right| \) to equal -1:

So, z = 5 or z = 3.

If the tiger has consumed 66 pounds of food in 6 days that's \( \frac{66}{6} \) = 11 pounds of food per day. The tiger needs to consume 110 - 66 = 44 more pounds of food to reach 110 pounds total. At 11 pounds of food per day that's \( \frac{44}{11} \) = 4 more days.