Which expression is equivalent to 2.2−0.5(0.6x−1.8)
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2.2 - 0.5(0.6x - 1.8) is equivalent to 2.2 - 0.3x + 0.9.
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2.2 - 0.5(0.6x - 1.8) simplifies to 2.2 - 0.3x + 0.9.
However, to find an expression that is fully equivalent to 2.2 - 0.5(0.6x - 1.8), we need to distribute the -0.5 across the terms inside the parentheses.
-0.5(0.6x - 1.8) = -0.3x + 0.9
Thus, the expression that is fully equivalent to 2.2 - 0.5(0.6x - 1.8) is 2.2 - 0.3x + 0.9.
To simplify the expression, we'll distribute the -0.5 to both terms inside the parentheses.
2.2 - 0.5(0.6x - 1.8)
Simplifying the expression inside the parentheses:
0.5 * 0.6x = 0.3x
0.5 * -1.8 = -0.9
Now, we can substitute these values back into the original expression:
2.2 - 0.3x + 0.9
Combining like terms, we have:
2.2 + 0.9 - 0.3x
Simplifying further, we get:
3.1 - 0.3x
Therefore, the expression 2.2 - 0.5(0.6x - 1.8) is equivalent to 3.1 - 0.3x.
To find an equivalent expression, we'll start by distributing the -0.5 to the terms inside the parentheses.
Step 1: Distribute -0.5 to 0.6x and -1.8:
-0.5 * 0.6x = -0.3x
-0.5 * -1.8 = 0.9
Now we can rewrite the expression as:
2.2 - 0.3x + 0.9
Step 2: Combine like terms:
First, combine 2.2 and 0.9:
2.2 + 0.9 = 3.1
So, the equivalent expression is:
3.1 - 0.3x