If the tiger has consumed 56 pounds of food in 7 days that's \( \frac{56}{7} \) = 8 pounds of food per day. The tiger needs to consume 80 - 56 = 24 more pounds of food to reach 80 pounds total. At 8 pounds of food per day that's \( \frac{24}{8} \) = 3 more days.

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

In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 12 workers at the company now and that's enough to staff 4 crews so there are \( \frac{12}{4} \) = 3 workers on a crew. 9 crews are needed for the busy season which, at 3 workers per crew, means that the roofing company will need 9 x 3 = 27 total workers to staff the crews during the busy season. The company already employs 12 workers so they need to add 27 - 12 = 15 new staff for the busy season.

44% of the water consumption is industrial use and 13% is personal use so (44% - 13%) = 31% more water is used for industrial purposes. 30,000 gallons are consumed daily so industry consumes \( \frac{31}{100} \) x 30,000 gallons = 9,300 gallons.

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.