To answer this question we will use the following diagram as reference:
From the above diagram, we get that we need a total of:
[tex]\frac{\frac{3}{4}\text{mile}}{\frac{1}{12}\text{mile}}+1[/tex]signs.
Simplifying the above result we get:
[tex]\frac{\frac{3}{4}}{\frac{1}{12}}+1=\frac{3\cdot12}{4\cdot1}+1=9+1=10.[/tex]Answer: 10 signs.