The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

If a single cook can bake 2 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 2 x 3 = 6 large cakes during that time. 27 large cakes are needed for the party so \( \frac{27}{6} \) = 4\(\frac{1}{2}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 13 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 13 x 3 = 39 small cakes during that time. 360 small cakes are needed for the party so \( \frac{360}{39} \) = 9\(\frac{3}{13}\) 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 5 + 10 = 15 cooks.

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.3km + 30.1km + 8.4km
total distance = 38.8km

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{14\sqrt{32}}{2\sqrt{8}} \)
\( \frac{14}{2} \) \( \sqrt{\frac{32}{8}} \)
7 \( \sqrt{4} \)

The factors of 44 are [1, 2, 4, 11, 22, 44] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 3 factors [1, 2, 4] making 4 the greatest factor 44 and 72 have in common.