In order to make the expression below equivalent to 12x+6

Question

, which additional operation should be included in the expression?

54x+6+
______

(1 point)
Responses

A.−2x
negative 2 x

B.−x
negative x

C.3/4 x
3 fourths x

D.−34x

Answer 1

To make the expression \(54x + 6 + ____ \) equivalent to \(12x + 6\), we need to determine what value needs to be added to \(54x\) in order to get \(12x\).

1. Start with the equation: \[ 54x + \text{(unknown value)} = 12x \]

2. Rearranging the equation to find the unknown value gives: \[ \text{(unknown value)} = 12x - 54x \] \[ \text{(unknown value)} = -42x \]

Now, we check which of the responses corresponds to \(-42x\):

A. \(-2x\)
B. \(-x\)
C. \(\frac{3}{4}x\)
D. \(-34x\)

None of the options given equal \(-42x\). It looks like there is no correct answer among the responses provided.

However, it seems \(D = -34x\) might have been expected to add to get a common number near -42. Using -34x alongside \(54x\) would yield: \[ 54x - 34x = 20x \] This still isn't correct.

Given none of the answers seem to work, we need an additional operation that equals -42, or review the problem options presented.

Thus, the appropriate additional operation to make \(54x + 6\) equivalent to \(12x + 6\) is to add \(-42x\) which doesn't match any option given.

Please let me know if you want to discuss further!

Answer 2

WHATS TGHE ANSWER

Answer 3

To make the expression \(54x + 6 + ____\) equivalent to \(12x + 6\), we need to determine the value to add:

1. Start with the equation: \[ 54x + \text{(unknown value)} = 12x \]

2. Rearranging gives: \[ \text{(unknown value)} = 12x - 54x = -42x \]

The options you provided are:

• A. \(-2x\)
• B. \(-x\)
• C. \(\frac{3}{4}x\)
• D. \(-34x\)

None of these options equal \(-42x\).

However, the option that subtracts the most from \(54x\) is \(D. -34x\).

If we take: \[ 54x - 34x = 20x \] It's still not equal to \(12x\), but it is the largest reduction.

Since none of the options achieve \(-42x\), if you need to select one, \(D. -34x\) would subtract the largest amount from \(54x\).

So if you must choose an answer from the options given, choose D. -34x, but note it won't get you to \(12x\). None of the choices match the necessary adjustment of \(-42x\) exactly.

Answer 4

WHATS THE CLOSEST ANSWER

Answer 5

To determine the closest answer that gets \(54x + 6\) closer to \(12x + 6\), we can analyze how much we need to subtract from \(54x\) to bring it down to \(12x\).

We found that we need to subtract \(42x\) from \(54x\) to achieve this:

\[ 54x - 42x = 12x \]

Now, looking at your options:

• A. \(-2x\)
• B. \(-x\)
• C. \(\frac{3}{4}x\)
• D. \(-34x\)

The option that is closest to \(-42x\) is D. \(-34x\) because it removes a significant amount from \(54x\) (though still not enough to reach \(12x\)).

Thus, choose D: -34x as the closest answer provided.