There are 60 seconds per minute, so Jackie’s push-up routine takes 1 * 60 = <<60=60>>60 seconds.
Her breaks last 2 * 8 = <<2*8=16>>16 seconds.
She does push-ups for 60 - 16 = <<60-16=44>>44 seconds.
She can do a push-up in 10 / 5 = <<10/5=2>>2 seconds.
Therefore, Jackie can do 44 / 2 = <<44/2=22>>22 push-ups in one minute with breaks.
#### 22