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

vans = \( \frac{80}{6} \) = 13\(\frac{1}{3}\)

So, it will take 13 full vans and one partially full van to transport the entire team making a total of 14 vans.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

3z³ + 8z³
(3 + 8)z³
11z³

If a single cook can bake 5 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 5 x 3 = 15 large cakes during that time. 21 large cakes are needed for the party so \( \frac{21}{15} \) = 1\(\frac{2}{5}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 16 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 16 x 3 = 48 small cakes during that time. 180 small cakes are needed for the party so \( \frac{180}{48} \) = 3\(\frac{3}{4}\) cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 2 + 4 = 6 cooks.

To fill a 6 gallon tank exactly halfway you'll need 3 gallons of fuel. Each fuel can holds 1 gallons so:

cans = \( \frac{3 \text{ gallons}}{1 \text{ gallons}} \) = 3

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