Chad's baseball team is practicing hitting in the batting cages. The pitching machines pitch baseballs at a rate of 35 pitches in 5 minutes. Chad practiced hitting for 8 minutes.

How many baseballs were pitched to Chad in that time?

In 1 minute, 35/5 = <<35/5=7>>7 baseballs are pitched.

In 8 minutes, 7 x 8 = <<7*8=56>>56 baseballs were pitched to Chad. Answer: \boxed{56}.