Final answer:
The two minerals are not in the same mineral group, one is likely a carbonate and the other a silicate, based on their anionic groups of carbon and oxygen, and silicon and oxygen respectively.
Step-by-step explanation:
To determine if two minerals are part of the same mineral group, we need to consider several factors such as their chemical composition and crystalline structure. A mineral group is a classification based on shared characteristics among minerals, particularly the anions or anionic groups present. The first mineral containing zinc, carbon, and oxygen suggests that it could be a carbonate due to the presence of carbon and oxygen. The second mineral contains zinc, silicon, oxygen, and hydrogen which indicates it could be a silicate, especially because silicon and oxygen are typically part of the silicate group. Because the defining anion groups (carbonate and silicate) are different for these two minerals, they are not in the same mineral group even though they share a common element, zinc.