A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

If the tiger has consumed 110 pounds of food in 10 days that's \( \frac{110}{10} \) = 11 pounds of food per day. The tiger needs to consume 154 - 110 = 44 more pounds of food to reach 154 pounds total. At 11 pounds of food per day that's \( \frac{44}{11} \) = 4 more days.

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

5\( \sqrt{32} \) - 9\( \sqrt{2} \)
5\( \sqrt{16 \times 2} \) - 9\( \sqrt{2} \)
5\( \sqrt{4^2 \times 2} \) - 9\( \sqrt{2} \)
(5)(4)\( \sqrt{2} \) - 9\( \sqrt{2} \)
20\( \sqrt{2} \) - 9\( \sqrt{2} \)

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

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

vans = \( \frac{93}{6} \) = 15\(\frac{1}{2}\)

So, it will take 15 full vans and one partially full van to transport the entire team making a total of 16 vans.

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

6\( \sqrt{3} \) x 2\( \sqrt{9} \)
(6 x 2)\( \sqrt{3 \times 9} \)
12\( \sqrt{27} \)

Now we need to simplify the radical:

12\( \sqrt{27} \)
12\( \sqrt{3 \times 9} \)
12\( \sqrt{3 \times 3^2} \)
(12)(3)\( \sqrt{3} \)
36\( \sqrt{3} \)