Restaurants can reopen in New Orleans, a city famous for its cuisine, but they must take reservations and limit the number of diners. Auto and horse racing tracks in New York can resume competitions but without spectators.

Officials cautiously eased more restrictions on eateries, shops and outdoor venues as they tried to restart economies without triggering a surge in new coronavirus infections. But the reopenings came with new rules designed to curb the spread of the disease — another indication that the familiar ways of dining out or watching sporting events are gone for now.

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