Organic fraction of municipal solid waste (OFMSW) with bulk density of $315 \mathrm{~kg} / \mathrm{m}^3$ and water content of $30 \%$ is mixed with municipal sludge of bulk density $700 \mathrm{~kg} / \mathrm{m}^3$ and water content of $70 \%$, such that the water content of the mixture is $40 \%$. The amount (in kg ) of sludge to be mixed per kg of OFMSW (rounded off to 2 decimal places) and the density of the mixture (in $\mathrm{kg} / \mathrm{m}^3$ ) (rounded off to the nearest integer) are calculated. Which of the following options is/are true:

Lacey's regime equations, followed in India for making scour calculations while designing hydraulic structures across alluvial channels, are given below. Regarding these equations, which of the following statements is/are true:

$$ \begin{aligned} & D=0.470 \times\left[\frac{Q}{f_s}\right]^{1 / 3} \\ & P=4.75 \times \sqrt{Q} \\ & f_s=1.76 \times \sqrt{d} \end{aligned} $$

where, $Q$ is discharge and $f_s$ is silt factor