If the tiger has consumed 64 pounds of food in 8 days that's \( \frac{64}{8} \) = 8 pounds of food per day. The tiger needs to consume 96 - 64 = 32 more pounds of food to reach 96 pounds total. At 8 pounds of food per day that's \( \frac{32}{8} \) = 4 more days.

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

\( \frac{7}{100} \) x 5 = \( \frac{7 \times 5}{100} \) = \( \frac{35}{100} \) = 0.35 errors per hour

So, in an average hour, the machine will produce 5 - 0.35 = 4.65 error free parts.

The machine ran for 24 - 9 = 15 hours yesterday so you would expect that 15 x 4.65 = 69.8 error free parts were produced yesterday.

By buying two shirts, Roger will save $33 x \( \frac{5}{100} \) = \( \frac{$33 x 5}{100} \) = \( \frac{$165}{100} \) = $1.65 on the second shirt.

To raise a term with an exponent to another exponent, retain the base and multiply the exponents: