April scored 93% on the test meaning she earned 93% of the possible points on the test. There were 60 possible points on the test so she earned 60 x 0.93 = 56 points. Each question is worth 2 points so she got \( \frac{56}{2} \) = 28 questions right.

You have 21 out of the total of 350 raffle tickets sold so you have a (\( \frac{21}{350} \)) x 100 = \( \frac{21 \times 100}{350} \) = \( \frac{2100}{350} \) = 6% chance to win the raffle.

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 12 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{7 x 3}{4 x 3} \) - \( \frac{2 x 1}{12 x 1} \)

\( \frac{21}{12} \) - \( \frac{2}{12} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{21 - 2}{12} \) = \( \frac{19}{12} \) = 1\(\frac{7}{12}\)

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

To fill a 10 gallon tank exactly halfway you'll need 5 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:

cans = \( \frac{5 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 2