If the tiger has consumed 60 pounds of food in 4 days that's \( \frac{60}{4} \) = 15 pounds of food per day. The tiger needs to consume 150 - 60 = 90 more pounds of food to reach 150 pounds total. At 15 pounds of food per day that's \( \frac{90}{15} \) = 6 more days.

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

First, solve for \( \left|a - 5\right| \):

\( \left|a - 5\right| \) - 3 = -3
\( \left|a - 5\right| \) = -3 + 3
\( \left|a - 5\right| \) = 0

The value inside the absolute value brackets can be either positive or negative so (a - 5) must equal + 0 or -0 for \( \left|a - 5\right| \) to equal 0:

So, a = 5 or a = 5.

To simplify a radical, factor out the perfect squares:

\( \sqrt{125} \)
\( \sqrt{25 \times 5} \)
\( \sqrt{5^2 \times 5} \)
5\( \sqrt{5} \)

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

vans = \( \frac{90}{11} \) = 8\(\frac{2}{11}\)

So, it will take 8 full vans and one partially full van to transport the entire team making a total of 9 vans.