Pureant

If 16 centimeters of wire costs 48 cents, then we can simplify the ratio to 1 centimeter of wire costs 3 cents. Then, we multiply 1 by 11, and 3 by 11, to get 11 centimeters of wire costs 33 cents.

$4^{-1} = \frac{1}{4}\\ 9^{-1} = \frac{1}{9}\\ \frac{1}{4} \cdot \frac{1}{9} = \frac{1}{36}$

Therefore, the answer is 1/36 (mod 35).