What number completes the expression 7⋅k⋅[?]

Question

so it is equivalent to −42⋅k
?(1 point)
Responses

7
7

−6
negative 6

6
6

−7

Answer 1

To find the number that completes the expression \( 7 \cdot k \cdot [?] \) so that it is equivalent to \( -42 \cdot k \), we can set up the equation:

\[ 7 \cdot k \cdot x = -42 \cdot k \]

Dividing both sides by \( k \) (assuming \( k \neq 0 \)) gives us:

\[ 7 \cdot x = -42 \]

To solve for \( x \), divide both sides by 7:

\[ x = \frac{-42}{7} \]

Calculating this gives:

\[ x = -6 \]

Thus, the number that completes the expression is \(-6\).

The correct response is: −6