What type of machine uses a long, continuous cutting blade with serrated teeth looped around wheels?

The answer is indeed a bandsaw. A bandsaw is specifically designed with a long, continuous blade that is looped around two wheels. This blade has serrated teeth, which allow it to make precise cuts through various materials, including wood and metal. The continuous nature of the blade means it can efficiently handle long, straight cuts as well as curves, making it a versatile tool in both industrial and woodworking applications.

In contrast, the other choices are not characterized by the same continuous blade design. A hacksaw typically uses a shorter, rigid blade that is fixed at both ends, primarily designed for manual cutting. A jigsaw utilizes a straight blade that moves up and down to perform cuts, making it different in operation and application. A circular saw features a toothed blade that rotates in a circular motion, which is also distinct from the looped design of a bandsaw.