suppose duth ann has 3 routes she can travel between the school to ths library, and 5 routes from the library to her home. how many routes are there from ruth ann's school to her homebwith a stop at the library?

There are a total of 3 routes from the school to the library and 5 routes from the library to home, therefore, the total number of routes from the school to home with a stop at the library is 3 * 5 = 15 routes.