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

5 + (4 + 3) ÷ 5 x 5 - 4²
P: 5 + (7) ÷ 5 x 5 - 4²
E: 5 + 7 ÷ 5 x 5 - 16
MD: 5 + \( \frac{7}{5} \) x 5 - 16
MD: 5 + \( \frac{35}{5} \) - 16
AS: \( \frac{25}{5} \) + \( \frac{35}{5} \) - 16
AS: \( \frac{60}{5} \) - 16
AS: \( \frac{60 - 80}{5} \)
\( \frac{-20}{5} \)
-4

If 40% of the town's 22,000 voters cast ballots the number of votes cast is:

(\( \frac{40}{100} \)) x 22,000 = \( \frac{880,000}{100} \) = 8,800

The mayor got 74% of the votes cast which is:

(\( \frac{74}{100} \)) x 8,800 = \( \frac{651,200}{100} \) = 6,512 votes.

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

-5b⁶ + 1b⁶
(-5 + 1)b⁶
-4b⁶

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))². If the diameter of the logo increases by 70% the radius (and, consequently, the total area) increases by \( \frac{70\text{%}}{2} \) = 35%

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0006877 in scientific notation is 6.877 x 10^-4