Question

Find the single number that will make these two expressions equivalent. and 3.18 + blank
and -4.16(3x -2.8)+2.5

Answer 1

To make the two expressions equivalent, we need to find the value of "blank" that will make them equal.

First, let's simplify the expressions separately:

Expression 1: 3.18 + blank

Expression 2: -4.16(3x - 2.8) + 2.5

Now, let's solve for "blank" to find the value that makes the two expressions equivalent:

3.18 + blank = -4.16(3x - 2.8) + 2.5

To solve for "blank", we need to distribute -4.16 to the terms inside the parentheses:

3.18 + blank = -12.48x + 11.648 + 2.5

Combine like terms:

3.18 + blank = -12.48x + 14.148

To isolate "blank", we can subtract 3.18 from both sides:

blank = -12.48x + 14.148 - 3.18

Simplifying further:

blank = -12.48x + 10.968

Therefore, the single number that will make the two expressions equivalent is "-12.48x + 10.968".