Which expression is equivalent to 2.2−0.5(0.6x−1.8) ?(1 point)
1.3−0.3x
0.3x+1.3
0.3x+3.1
3.1−0.3x
3.1−0.3x
To simplify the expression 2.2 - 0.5(0.6x - 1.8), you can start by distributing the -0.5 to the terms inside the parentheses:
2.2 - 0.5(0.6x - 1.8)
= 2.2 - 0.5 * 0.6x + 0.5 * 1.8
Now, simplify the products:
= 2.2 - 0.3x + 0.9
Finally, combine like terms:
= 2.2 + 0.9 - 0.3x
= 3.1 - 0.3x
So, the expression is equivalent to 3.1 - 0.3x. Therefore, the correct answer is 3.1 − 0.3x.
To find the equivalent expression, you need to simplify the given expression step by step.
First, distribute the -0.5 to the terms inside the parenthesis:
2.2 - 0.5(0.6x - 1.8)
= 2.2 - 0.5 * 0.6x + 0.5 * 1.8
Next, multiply the -0.5 with 0.6x and 1.8 respectively:
= 2.2 - 0.3x + 0.9
Now, combine like terms:
= 2.2 + 0.9 - 0.3x
Finally, simplify:
= 3.1 - 0.3x
Therefore, the equivalent expression is 3.1 - 0.3x. So the correct answer is 3.1−0.3x.