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

vans = \( \frac{34}{10} \) = 3\(\frac{2}{5}\)

So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.

First, solve for \( \left|y - 2\right| \):

\( \left|y - 2\right| \) - 2 = 0
\( \left|y - 2\right| \) = 0 + 2
\( \left|y - 2\right| \) = 2

The value inside the absolute value brackets can be either positive or negative so (y - 2) must equal + 2 or -2 for \( \left|y - 2\right| \) to equal 2:

So, y = 0 or y = 4.

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

1

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

\( \frac{5y^8}{7y^4} \)
\( \frac{5}{7} \) y^{(8 - 4)}
\(\frac{5}{7}\)y⁴