If the tiger has consumed 42 pounds of food in 3 days that's \( \frac{42}{3} \) = 14 pounds of food per day. The tiger needs to consume 140 - 42 = 98 more pounds of food to reach 140 pounds total. At 14 pounds of food per day that's \( \frac{98}{14} \) = 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 $400
i = 0.04 x $400
i = $16

If a single cook can bake 5 large cakes per hour and the kitchen is available for 2 hours, a single cook can bake 5 x 2 = 10 large cakes during that time. 35 large cakes are needed for the party so \( \frac{35}{10} \) = 3\(\frac{1}{2}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 18 small cakes per hour and the kitchen is available for 2 hours, a single cook can bake 18 x 2 = 36 small cakes during that time. 450 small cakes are needed for the party so \( \frac{450}{36} \) = 12\(\frac{1}{2}\) cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 4 + 13 = 17 cooks.

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

8a³ x 5a⁶
(8 x 5)a^{(3 + 6)}
40a⁹