Food waste, paper waste and plastic waste have typical densities of \(280 kg/m^3\), \(80 kg/m^3\), and \(50 kg/m^3\), respectively. The mixed waste is composed of 70% food waste, 20% paper waste and 10% plastic waste. The density of the mixed waste is ______ \(kg/m^3\). (rounded off to 2 decimal places). Neglect compaction effect.
Considering the percentages as volumetric contributions rather than mass contributions:
\[
\rho_{\text{mixed}} = \frac{1 \, \text{kg}}{0.007 \, \text{m}^3} \approx 142.86 \, \text{kg/m}^3
\]