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

5\( \sqrt{6} \) x 6\( \sqrt{7} \)
(5 x 6)\( \sqrt{6 \times 7} \)
30\( \sqrt{42} \)

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [30, 60, 90] making 30 the smallest multiple 6 and 10 share.

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

\( \frac{4 x 5}{6 x 5} \) - \( \frac{5 x 3}{10 x 3} \)

\( \frac{20}{30} \) - \( \frac{15}{30} \)

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

\( \frac{20 - 15}{30} \) = \( \frac{5}{30} \) = \(\frac{1}{6}\)

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

vans = \( \frac{44}{8} \) = 5\(\frac{1}{2}\)

So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.

By buying two shirts, Bob will save $20 x \( \frac{20}{100} \) = \( \frac{$20 x 20}{100} \) = \( \frac{$400}{100} \) = $4.00 on the second shirt.

So, his total cost will be
$20.00 + ($20.00 - $4.00)
$20.00 + $16.00
$36.00

The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.