Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{76}{11} \) = 6\(\frac{10}{11}\)

So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.

If 53% of the town's 50,000 voters cast ballots the number of votes cast is:

(\( \frac{53}{100} \)) x 50,000 = \( \frac{2,650,000}{100} \) = 26,500

The mayor got 80% of the votes cast which is:

(\( \frac{80}{100} \)) x 26,500 = \( \frac{2,120,000}{100} \) = 21,200 votes.

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

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

7\( \sqrt{5} \) x 9\( \sqrt{3} \)
(7 x 9)\( \sqrt{5 \times 3} \)
63\( \sqrt{15} \)

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 + 30.8km + 11.700000000000001km
total distance = 42.8km