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Answer :

9514 1404 393

Answer:

  every 6th day

Step-by-step explanation:

Mary will have a painting class on the same day as every 3rd dance class. That's the same day as every 2nd painting class. Mary has the two classes together on every 6th day.

  [tex]\texttt{- 1 2 3 4 5 6 1 2 3 4 5 6}\\\texttt{d - d - d - d - d - d - d}\\\texttt{p - - p - - p - - p - - p}[/tex]