That evening, Mr. Cuomo called the bankruptcy comment “one of the saddest, really dumb comments of all time.”

On Thursday, he called Mr. McConnell “the grim reaper,” and added: “Think of what he is saying: People died. 15,000 people died in New York, but they were predominantly Democrats, so why should we help them?”

On Friday, Mr. Cuomo called Mr. McConnell’s bluff: “If you believe what you said, and you have the courage of conviction because you’re a man of your word, pass that bill if you weren’t just playing politics,” he said. “We’ll see how long it takes him to do it.”

Governor Murphy expresses concern over New Jersey counties that have “slid backward.”

Governor Philip D. Murphy said the numbers of hospitalizations and people on ventilators were continuing to fall in New Jersey but expressed alarm that the virus was spreading more rapidly in some counties where it had been slowing down.

The number of positive cases is now doubling every seven days in seven counties, most of them in the central and southern parts of the state, according to a map state officials showed during the governor’s daily briefing on Friday.

“Several counties have slid backward,” Mr. Murphy said. “We cannot let that happen.”

Some other statistics from the governor’s briefing:

New Jersey now has 102,196 total cases. There were 3,047 new cases reported on Friday.

There were 6,847 people in hospitals because of the virus as of Thursday night, according to Judith Persichilli, the commissioner of the state Department of Health. That is a 17 percent drop from a high of 8,293 10 days ago, she said.

The number of new virus-related deaths fell to 253 on Friday, down from 307 on Thursday. It was the lowest number of deaths reported since Monday.

The total number of deaths was 5,617.

“The toll of this disease in terms of the loss of life remains staggering,” Mr. Murphy said.

Mr. Murphy, who regularly mentions the names of New Jersey residents who died of the virus, cited the recent death of Gerry Genuino, 58, a Fair Lawn bus driver who had two daughters and once pulled over during a school trip on the side of a highway to extinguish a fire on a burning truck.