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.

By buying two shirts, Bob will save $14 x \( \frac{20}{100} \) = \( \frac{$14 x 20}{100} \) = \( \frac{$280}{100} \) = $2.80 on the second shirt.

So, his total cost will be
$14.00 + ($14.00 - $2.80)
$14.00 + $11.20
$25.20

If 78% of the town's 28,000 voters cast ballots the number of votes cast is:

(\( \frac{78}{100} \)) x 28,000 = \( \frac{2,184,000}{100} \) = 21,840

The mayor got 73% of the votes cast which is:

(\( \frac{73}{100} \)) x 21,840 = \( \frac{1,594,320}{100} \) = 15,943 votes.

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

vans = \( \frac{91}{13} \) = 7

The equation for this sequence is:

a_n = a_n-1 + 2(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 2(6 - 1)
a₆ = 21 + 2(5)
a₆ = 31