To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:

cans = \( \frac{7\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 5

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

3 + (3 + 3) ÷ 5 x 2 - 2²
P: 3 + (6) ÷ 5 x 2 - 2²
E: 3 + 6 ÷ 5 x 2 - 4
MD: 3 + \( \frac{6}{5} \) x 2 - 4
MD: 3 + \( \frac{12}{5} \) - 4
AS: \( \frac{15}{5} \) + \( \frac{12}{5} \) - 4
AS: \( \frac{27}{5} \) - 4
AS: \( \frac{27 - 20}{5} \)
\( \frac{7}{5} \)
1\(\frac{2}{5}\)

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%

The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [20, 40, 60, 80] making 20 the smallest multiple 4 and 10 have in common.

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.