If we are going by NEC Table 430.122, which says to treat a 1/2HP 115V motor as having an FLA of 9.8A, and we are assuming the garbage disposal and 10A dishwasher are jointly on a 20A circuit, that is not correct. As NEC 430.24 tells us to take 125% of the motor load plus the other load to determine our minimum conductor ampacity, and 125% of 9.8 plus 10A = 22.25A. While NM cable is limited to the 60C ampacity, which is 20A for #12 Cu. [Note that the small conductor OCPD limits in 240.4(D) do not apply to motor loads.] Thus we would be limited to a 1/3 HP motor which has a Table 430.122 7.2A FLA.
However, 430.6(A) Exception 3 says that for a listed motor-operated appliance that is labeled with both HP and FLA, we are to use the nameplate FLA, rather than the Table 430.122 value based on HP. Thus in this case the answer is any garbage disposal labeled 8A or less, or a garbage disposal labeled only in HP that is labeled 1/3 HP or less.
So this is incorrect, as I forgot the 125% multiplier for motor loads. For the mixed case, dishwasher current plus 125% garbage disposal current must be at most 20A; for the case of an individual 20A branch circuit for the garbage disposal, the garbage disposal current must be at most 16A.
Cheers, Wayne