How much charge does a 9.0 v battery transfer from the negative to the positive terminal while doing 39 j of work?

The work done by the battery is equal to the charge transferred during the process times the potential difference between the two terminals of the battery:

where q is the charge and  is the potential difference.

In our problem, the work done is W=39 J while the potential difference of the battery is , so we can find the charge transferred by the battery:

Iwould say a is accurate