The Gamecocks led 57-30 at halftime behind 13 points apiece for Richardson and Carrera. South Carolina (6-3) shot 71.9 percent (23 of 32) from the field and made 6 of 7 3-pointers for its highest scoring half in 69 games.
The Gamecocks were coming off a loss to Clemson on Sunday in which they scored 55 points in the game and had averaged only 60 points over the two-game skid.
The Dolphins scored the opening basket of the game but it was all South Carolina the remainder of the half. The Gamecocks went on an 11-2 run over the next 4 minutes to take an 11-4 lead. They went the final 15 minutes of the first half without a turnover and knocked down 19 of 27 shots.
Leading 29-18, Williams started a 28-12 finish to the half with consecutive 3-pointers with about 8 minutes remaining to put the Gamecocks firmly in control. Things were going so well, even 6-foot-11 Laimonas Chatkevicius hit a 3-pointer as the shot clock was winding down.
The South Carolina lead grew to as many as 33 points in the second half as the Gamecocks were able to substitute liberally. Carrera added nine rebounds and Eric Smith tied his career-high with seven assists.
South Carolina's shooting cooled off in the second half to 8 of 24 but the lead was too much for the Dolphins to overcome. The closest Jacksonville got in the second half was the 17-point margin at the final buzzer when South Carolina had three walk-ons on the floor.
Mike Krzyzewski says he has good reason to be excited for next season thanks to a combination of Duke's incoming freshmen and a core of experienced upperclassmen.
Georgia guard Juwan Parker has been awarded a medical redshirt, leaving him with two years of eligibility, after missing the 2015-16 season with a partially torn Achilles tendon.
Forward Trevon Bluiett has withdrawn from consideration from the NBA draft and will return to Xavier for his junior season.