To fill a 12 gallon tank exactly halfway you'll need 6 gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:

cans = \( \frac{6 \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 4

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $1,400
i = 0.08 x $1,400
i = $112

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:

1,453,000 in scientific notation is 1.453 x 10⁶

Diane scored 85% on the test meaning she earned 85% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.85 = 102 points. Each question is worth 3 points so she got \( \frac{102}{3} \) = 34 questions right.

If 74% of the town's 12,000 voters cast ballots the number of votes cast is:

(\( \frac{74}{100} \)) x 12,000 = \( \frac{888,000}{100} \) = 8,880

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

(\( \frac{74}{100} \)) x 8,880 = \( \frac{657,120}{100} \) = 6,571 votes.