Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{20mi}{20mph} \)
1 hour

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 55% the radius (and, consequently, the total area) increases by \( \frac{55\text{%}}{2} \) = 27\(\frac{1}{2}\)%

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{9}{64}} \)
\( \frac{\sqrt{9}}{\sqrt{64}} \)
\( \frac{\sqrt{3^2}}{\sqrt{8^2}} \)
\(\frac{3}{8}\)

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

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

3 + (3 + 4) ÷ 5 x 2 - 3²
P: 3 + (7) ÷ 5 x 2 - 3²
E: 3 + 7 ÷ 5 x 2 - 9
MD: 3 + \( \frac{7}{5} \) x 2 - 9
MD: 3 + \( \frac{14}{5} \) - 9
AS: \( \frac{15}{5} \) + \( \frac{14}{5} \) - 9
AS: \( \frac{29}{5} \) - 9
AS: \( \frac{29 - 45}{5} \)
\( \frac{-16}{5} \)
-3\(\frac{1}{5}\)