April scored 85% on the test meaning she earned 85% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.85 = 204 points. Each question is worth 4 points so she got \( \frac{204}{4} \) = 51 questions right.

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 30mph \times 3h \)
90 miles

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

-5y⁶ - 6y⁶
(-5 - 6)y⁶
-11y⁶

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

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

vans = \( \frac{45}{12} \) = 3\(\frac{3}{4}\)

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