To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.5km + 50.8km + 4.6km
total distance = 55.9km

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:

\( \frac{-7y^5}{9y^2} \)
\( \frac{-7}{9} \) y^{(5 - 2)}
-\(\frac{7}{9}\)y³

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:

0.0003281 in scientific notation is 3.281 x 10^-4

If 42% of the town's 34,000 voters cast ballots the number of votes cast is:

(\( \frac{42}{100} \)) x 34,000 = \( \frac{1,428,000}{100} \) = 14,280

The mayor got 56% of the votes cast which is:

(\( \frac{56}{100} \)) x 14,280 = \( \frac{799,680}{100} \) = 7,997 votes.

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 30% the radius (and, consequently, the total area) increases by \( \frac{30\text{%}}{2} \) = 15%