If 49% of the town's 20,000 voters cast ballots the number of votes cast is:

(\( \frac{49}{100} \)) x 20,000 = \( \frac{980,000}{100} \) = 9,800

The mayor got 51% of the votes cast which is:

(\( \frac{51}{100} \)) x 9,800 = \( \frac{499,800}{100} \) = 4,998 votes.

To subtract these radicals together their radicands must be the same:

8\( \sqrt{27} \) - 8\( \sqrt{3} \)
8\( \sqrt{9 \times 3} \) - 8\( \sqrt{3} \)
8\( \sqrt{3^2 \times 3} \) - 8\( \sqrt{3} \)
(8)(3)\( \sqrt{3} \) - 8\( \sqrt{3} \)
24\( \sqrt{3} \) - 8\( \sqrt{3} \)

Now that the radicands are identical, you can subtract them:

If the tiger has consumed 45 pounds of food in 9 days that's \( \frac{45}{9} \) = 5 pounds of food per day. The tiger needs to consume 65 - 45 = 20 more pounds of food to reach 65 pounds total. At 5 pounds of food per day that's \( \frac{20}{5} \) = 4 more days.

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

vans = \( \frac{74}{11} \) = 6\(\frac{8}{11}\)

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

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.