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:

\( \frac{9 x 11}{3 x 11} \) - \( \frac{9 x 3}{11 x 3} \)

\( \frac{99}{33} \) - \( \frac{27}{33} \)

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

\( \frac{99 - 27}{33} \) = \( \frac{72}{33} \) = 2\(\frac{2}{11}\)

The equation for this sequence is:

a_n = a_n-1 + 1

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 1
a₆ = 5 + 1
a₆ = 6

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

8\( \sqrt{8} \) - 4\( \sqrt{2} \)
8\( \sqrt{4 \times 2} \) - 4\( \sqrt{2} \)
8\( \sqrt{2^2 \times 2} \) - 4\( \sqrt{2} \)
(8)(2)\( \sqrt{2} \) - 4\( \sqrt{2} \)
16\( \sqrt{2} \) - 4\( \sqrt{2} \)

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

If 86% of the town's 46,000 voters cast ballots the number of votes cast is:

(\( \frac{86}{100} \)) x 46,000 = \( \frac{3,956,000}{100} \) = 39,560

The mayor got 58% of the votes cast which is:

(\( \frac{58}{100} \)) x 39,560 = \( \frac{2,294,480}{100} \) = 22,945 votes.

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 + 20.3km + 14.3km
total distance = 34.9km