Each word has its list of possible translations. The list Duo shows you depends only on the word, not on the sentence. We have to decide which translation makes sense in the given sentence. This is a good exercise for us. Note that for Duolingo to change the suggestions based on both the word AND each sentence would be much more complicated and require about a million additional lines of computer code per course.
Nein, das ist nicht richtig. Man verwendet "not" mit Verben und "no" mit Hauptwörtern.
- You have no money (=kein Geld);
- You do not have money (=hast nicht).
A confusing sentence is "That is not money" which is translated into German as "Das ist kein Geld". But in the English sentence "not" belongs to the verb "is".