Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

3 + (4 + 3) ÷ 2 x 4 - 4²
P: 3 + (7) ÷ 2 x 4 - 4²
E: 3 + 7 ÷ 2 x 4 - 16
MD: 3 + \( \frac{7}{2} \) x 4 - 16
MD: 3 + \( \frac{28}{2} \) - 16
AS: \( \frac{6}{2} \) + \( \frac{28}{2} \) - 16
AS: \( \frac{34}{2} \) - 16
AS: \( \frac{34 - 32}{2} \)
\( \frac{2}{2} \)
1

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 = \( 50mph \times 9h \)
450 miles

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

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

vans = \( \frac{99}{14} \) = 7\(\frac{1}{14}\)

So, it will take 7 full vans and one partially full van to transport the entire team making a total of 8 vans.

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.