Find the single number that will make these two expressions equivalent.

Question

13.8x +_________


and
-4.6(3x-2.8)+2.5
(2 points)
Responses

12.88
12.88
-12.88
-12.88
-15.38
-15.38
15.38

Answer 1

To find the single number that will make the two expressions equivalent, we need to solve the equation:

13.8x + _______ = -4.6(3x-2.8) + 2.5

First, let's simplify the right side of the equation:

-4.6(3x-2.8) + 2.5
= -13.8x + 12.88 + 2.5
= -13.8x + 15.38

Now, we can rewrite the equation as:

13.8x + _______ = -13.8x + 15.38

The numbers that will make the two expressions equivalent are the ones that cancel each other out when added or subtracted on both sides of the equation. In this case, we can see that the number that cancels out the 13.8x term is -13.8x. Therefore, the single number that will make the expressions equivalent is -13.8x.

Answer: -13.8

Answer 2

13.8x +_________

and
-4.6(3x-2.8)+2.5

Answer 3

To find the missing number that would make the two expressions equivalent, let's simplify the right side of the equation first:

-4.6(3x-2.8) + 2.5 = -13.8x + 12.88 + 2.5 = -13.8x + 15.38

Now, we have the equation:

13.8x + _______ = -13.8x + 15.38

To make the expressions equivalent, we need to find the number that cancels out the -13.8x term. In this case, it is -13.8x.

Therefore, the missing number is -13.8x.

The correct answer is: -13.8x

Answer 4

-4.6(3x-2.8) + 2.5

Answer 5

To simplify the expression -4.6(3x-2.8) + 2.5, we need to distribute the -4.6 to each term inside the parentheses:

-4.6 * 3x = -13.8x
-4.6 * (-2.8) = 12.88

Thus, the expression simplifies to:

-13.8x + 12.88 + 2.5

Combining like terms, we get:

-13.8x + 15.38

The simplified expression is -13.8x + 15.38.

Answer 6

what does it turn into

Answer 7

The expression -4.6(3x-2.8) + 2.5 simplifies to -13.8x + 12.88 + 2.5, which further simplifies to -13.8x + 15.38.