Sure! Let's simplify the given expression step by step:
The given expression is:
[tex]\[ \frac{3(2 \cdot 5 - 1)}{9} - 2 \][/tex]
Step 1: Simplify inside the parentheses first:
[tex]\[ 2 \cdot 5 - 1 \][/tex]
[tex]\[ = 10 - 1 \][/tex]
[tex]\[ = 9 \][/tex]
So the expression now becomes:
[tex]\[ \frac{3(9)}{9} - 2 \][/tex]
Step 2: Multiply 3 by the result inside the parentheses:
[tex]\[ 3 \cdot 9 = 27 \][/tex]
So the expression now becomes:
[tex]\[ \frac{27}{9} - 2 \][/tex]
Step 3: Divide 27 by 9:
[tex]\[ \frac{27}{9} = 3.0 \][/tex]
Now the expression is:
[tex]\[ 3.0 - 2 \][/tex]
Step 4: Subtract 2:
[tex]\[ 3.0 - 2 = 1.0 \][/tex]
Therefore, the simplified expression equals:
[tex]\[ 1.0 \][/tex]
So the correct answer is:
[tex]\[ 1.0 \][/tex]
