As long as there is no school monitor with veto power over the board, the board can cut public school services to balance the budget
There are things they can cut and things they cant cut. If something is madated by the state like Math, Science, English , GYM (Yes Gym is madated)
They can cut things like band , and intermural sports which are not mandated.
What some here dont seem to get is free public school education is not only the laws in the US , it is the custom as well. You cannot eliminate it or make it barebones because you dont use it. Eldery and childless people are required to pay taxes for it even though they dont have kids