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

vans = \( \frac{75}{6} \) = 12\(\frac{1}{2}\)

So, it will take 12 full vans and one partially full van to transport the entire team making a total of 13 vans.

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

8a² x 5a⁴
(8 x 5)a^{(2 + 4)}
40a⁶

First, solve for \( \left|b + 5\right| \):

\( \left|b + 5\right| \) + 1 = 7
\( \left|b + 5\right| \) = 7 - 1
\( \left|b + 5\right| \) = 6

The value inside the absolute value brackets can be either positive or negative so (b + 5) must equal + 6 or -6 for \( \left|b + 5\right| \) to equal 6:

So, b = -11 or b = 1.

If the tiger has consumed 60 pounds of food in 6 days that's \( \frac{60}{6} \) = 10 pounds of food per day. The tiger needs to consume 90 - 60 = 30 more pounds of food to reach 90 pounds total. At 10 pounds of food per day that's \( \frac{30}{10} \) = 3 more days.