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

9\( \sqrt{3} \) x 9\( \sqrt{6} \)
(9 x 9)\( \sqrt{3 \times 6} \)
81\( \sqrt{18} \)

Now we need to simplify the radical:

81\( \sqrt{18} \)
81\( \sqrt{2 \times 9} \)
81\( \sqrt{2 \times 3^2} \)
(81)(3)\( \sqrt{2} \)
243\( \sqrt{2} \)

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 11 are [11, 22, 33, 44, 55, 66, 77, 88, 99]. The first few multiples they share are [33, 66, 99] making 33 the smallest multiple 3 and 11 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{5 x 11}{3 x 11} \) - \( \frac{7 x 3}{11 x 3} \)

\( \frac{55}{33} \) - \( \frac{21}{33} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{55 - 21}{33} \) = \( \frac{34}{33} \) = 1\(\frac{1}{33}\)

If 70% of the town's 12,000 voters cast ballots the number of votes cast is:

(\( \frac{70}{100} \)) x 12,000 = \( \frac{840,000}{100} \) = 8,400

The mayor got 78% of the votes cast which is:

(\( \frac{78}{100} \)) x 8,400 = \( \frac{655,200}{100} \) = 6,552 votes.

There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 13 people needing transportation leaving 13 - 12 = 1 who will have to find other transportation.