To solve the expression \(2 \cdot 2 + 30 - 9 \div 6\), we need to follow the order of operations (PEMDAS/BODMAS):
- Parentheses/Brackets
- Exponents/Orders
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Now, let's calculate:
Multiplication and Division first: \[ 2 \cdot 2 = 4 \] \[ 9 \div 6 = 1.5 \]
Now substitute these values back into the expression: \[ 4 + 30 - 1.5 \]
Now do Addition and Subtraction: \[ 4 + 30 = 34 \] \[ 34 - 1.5 = 32.5 \]
The final result is: \[ \boxed{32.5} \]