Which expression is equivalent to 2.2−0.5(0.6x−1.8) ?(1 point) Responses 1.3−0.3x 1 point 3 minus 0 point 3 x 0.3x+1.3 0 point 3 x plus 1 point 3 0.3x+3.1 0 point 3 x plus 3 point 1 3.1−0.3x
The expression 2.2−0.5(0.6x−1.8) is equivalent to 3.1−0.3x.
To simplify the expression 2.2 - 0.5(0.6x - 1.8), we will follow the order of operations:
1. Distribute the -0.5 to both terms inside the parenthesis:
2.2 - 0.5 * 0.6x + 0.5 * 1.8
2. Multiply each term inside the parenthesis:
2.2 - 0.3x + 0.9
3. Combine like terms:
(2.2 + 0.9) - 0.3x
4. Add the numbers in the parentheses:
3.1 - 0.3x
So, the expression 2.2 - 0.5(0.6x - 1.8) is equivalent to 3.1 - 0.3x.
To simplify the expression 2.2 - 0.5(0.6x - 1.8), you need to distribute the -0.5 to both terms inside the parentheses and then combine like terms.
Step 1: Distribute the -0.5 to 0.6x and -1.8:
-0.5 * 0.6x = -0.3x
-0.5 * (-1.8) = 0.9
The expression becomes: 2.2 - 0.3x + 0.9
Step 2: Combine like terms:
Combine 2.2 and 0.9, which are constants: 2.2 + 0.9 = 3.1
The simplified expression is: 3.1 - 0.3x
So, the correct answer is 3.1 - 0.3x.