The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

If the tiger has consumed 10 pounds of food in 2 days that's \( \frac{10}{2} \) = 5 pounds of food per day. The tiger needs to consume 45 - 10 = 35 more pounds of food to reach 45 pounds total. At 5 pounds of food per day that's \( \frac{35}{5} \) = 7 more days.

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $200
i = 0.01 x $200

No payments were made so the total amount due is the original amount + the accumulated interest:

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{1}{6} \) x \( \frac{2}{5} \) = \( \frac{1 x 2}{6 x 5} \) = \( \frac{2}{30} \) = \(\frac{1}{15}\)