The amount of flour you need is (1\(\frac{7}{8}\) - \(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{15}{8} \) - \( \frac{6}{8} \)) cups
\( \frac{9}{8} \) cups
1\(\frac{1}{8}\) cups

If 53% of the town's 46,000 voters cast ballots the number of votes cast is:

(\( \frac{53}{100} \)) x 46,000 = \( \frac{2,438,000}{100} \) = 24,380

The mayor got 72% of the votes cast which is:

(\( \frac{72}{100} \)) x 24,380 = \( \frac{1,755,360}{100} \) = 17,554 votes.

First, solve for \( \left|z + 5\right| \):

\( \left|z + 5\right| \) - 8 = 2
\( \left|z + 5\right| \) = 2 + 8
\( \left|z + 5\right| \) = 10

The value inside the absolute value brackets can be either positive or negative so (z + 5) must equal + 10 or -10 for \( \left|z + 5\right| \) to equal 10:

So, z = -15 or z = 5.

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-2y^6}{9y^3} \)
\( \frac{-2}{9} \) y^{(6 - 3)}
-\(\frac{2}{9}\)y³

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

vans = \( \frac{71}{8} \) = 8\(\frac{7}{8}\)

So, it will take 8 full vans and one partially full van to transport the entire team making a total of 9 vans.