Given:
The equation is
[tex]\dfrac{4560}{120}=38[/tex]
To find:
The inverse operation for the equation using the knowledge of inverse operations.
Solution:
We have,
[tex]\dfrac{4560}{120}=38[/tex]
Here, 4560 is divided by 120. So, in this equation the operation is division.
We know that inverse operation of division is multiplication. So, multiply both sides by 120.
[tex]\dfrac{4560}{120}\times 120=38\times 120[/tex]
[tex]4560=38\times 120[/tex]
It can be written as
[tex]38\times 120=4560[/tex]
The inverse operation for the equation is [tex]38\times 120=4560[/tex].
Therefore, the correct option is B.