Final answer:
The sentence should be completed with "Somos; ocupados." It is important to use the correct form of the verb 'ser' and match it with the appropriate adjective form.
Step-by-step explanation:
The correct option to complete the sentence is "Somos; ocupados."
In Spanish, the verb "Ser" (to be) is used to express identity or characteristics. Here, the subject "nuestros nombres" (our names) implies that the appropriate form of the verb should be "Somos" (we are). The adjective "ocupados" (busy) matches the masculine plural form which agrees with the subject.
Learn more about Spanish verbs