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.

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

The equation for this sequence is:

a_n = a_n-1 + 3(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 3(6 - 1)
a₆ = 31 + 3(5)
a₆ = 46

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

vans = \( \frac{82}{9} \) = 9\(\frac{1}{9}\)

So, it will take 9 full vans and one partially full van to transport the entire team making a total of 10 vans.

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

4\( \sqrt{112} \) + 7\( \sqrt{7} \)
4\( \sqrt{16 \times 7} \) + 7\( \sqrt{7} \)
4\( \sqrt{4^2 \times 7} \) + 7\( \sqrt{7} \)
(4)(4)\( \sqrt{7} \) + 7\( \sqrt{7} \)
16\( \sqrt{7} \) + 7\( \sqrt{7} \)

Now that the radicands are identical, you can add them together: