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

2 + (2 + 3) ÷ 3 x 3 - 5²
P: 2 + (5) ÷ 3 x 3 - 5²
E: 2 + 5 ÷ 3 x 3 - 25
MD: 2 + \( \frac{5}{3} \) x 3 - 25
MD: 2 + \( \frac{15}{3} \) - 25
AS: \( \frac{6}{3} \) + \( \frac{15}{3} \) - 25
AS: \( \frac{21}{3} \) - 25
AS: \( \frac{21 - 75}{3} \)
\( \frac{-54}{3} \)
-18

The amount of flour you need is (2 - \(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{16}{8} \) - \( \frac{5}{8} \)) cups
\( \frac{11}{8} \) cups
1\(\frac{3}{8}\) cups

The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.

April scored 84% on the test meaning she earned 84% of the possible points on the test. There were 270 possible points on the test so she earned 270 x 0.84 = 228 points. Each question is worth 3 points so she got \( \frac{228}{3} \) = 76 questions right.

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