The factors of 64 are [1, 2, 4, 8, 16, 32, 64] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 the greatest factor 64 and 76 have in common.

Betty scored 78% on the test meaning she earned 78% of the possible points on the test. There were 160 possible points on the test so she earned 160 x 0.78 = 124 points. Each question is worth 4 points so she got \( \frac{124}{4} \) = 31 questions right.

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 raise a term with an exponent to another exponent, retain the base and multiply the exponents:

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

vans = \( \frac{47}{14} \) = 3\(\frac{5}{14}\)

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