AUSTIN, Texas (AP) — Utah and Oregon put any further reopening of their economies on hold amid a spike in coronavirus cases, but there was no turning back Friday in such states as Texas, Arkansas and Arizona despite flashing warning signs there, too.

One by one, states are weighing the health risks from the virus against the economic damage from the stay-at-home orders that have thrown millions out of work over the past three months.

And many governors are coming down on the side of jobs, even though an Associated Press analysis this week found that cases are rising in nearly half the states —...