The amount of flour you need is (3\(\frac{3}{8}\) - \(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{27}{8} \) - \( \frac{3}{8} \)) cups
\( \frac{24}{8} \) cups
3 cups

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] 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 6 and 12 share.

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

\( \frac{4 x 2}{6 x 2} \) - \( \frac{2 x 1}{12 x 1} \)

\( \frac{8}{12} \) - \( \frac{2}{12} \)

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

\( \frac{8 - 2}{12} \) = \( \frac{6}{12} \) = \(\frac{1}{2}\)

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 60% the radius (and, consequently, the total area) increases by \( \frac{60\text{%}}{2} \) = 30%

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

To multiply terms with radicals, multiply the coefficients and radicands separately:

2\( \sqrt{9} \) x 5\( \sqrt{6} \)
(2 x 5)\( \sqrt{9 \times 6} \)
10\( \sqrt{54} \)

Now we need to simplify the radical:

10\( \sqrt{54} \)
10\( \sqrt{6 \times 9} \)
10\( \sqrt{6 \times 3^2} \)
(10)(3)\( \sqrt{6} \)
30\( \sqrt{6} \)