Tavakalyan was 7 of 16 from the floor and Okolue was 8 of 13 and grabbed 12 rebounds. Jonathan Mitchell didn't miss a shot, going 5 of 5 from the floor and made all three of his free-throw attempts for the Hornets, who shot 42 percent from the field.
Malachi Hall scored 12 points on 6-of-11 shooting to lead Cairn.
Antoine Nunnally, who finished with nine points, made a jumper and free throw to pull Cairn to 21-11 with 9:41 to play in the first half. Ameer Bennett answered for Delaware State with a pair of free throws and Mitchell added a dunk and Cairn didn't get closer.
Seminoles make Week 1 statement
Duke grabbed most of the Week 1 headlines, but the Noles made a statement of their own.
Simmons, Duffy help North Texas beat Hawaii 68-51
Jahmiah Simmons and Jorden Duffy scored 13 points apiece to help North Texas beat Hawaii 68-51 on Sunday night.
Carter, Mean help Seattle beat Bryant 82-59
Myles Carter had 25 points and 12 rebounds and Morgan Means scored 21 points to help Seattle beat Bryant 82-59 on Sunday night.