Question

1. \frac{-13.3 + k}{11.796} = -0.296

Explanation:

Step1: Rewrite the equation

The equation is \(\frac{-13.3 + k}{11.796}=-0.296\). Multiply both sides by \(11.796\) to get rid of the denominator.
\(-13.3 + k=-0.296\times11.796\)

Step2: Calculate the right - hand side

First, calculate \(-0.296\times11.796\). \(0.296\times11.796 = 0.296\times(10 + 1.796)=0.296\times10+0.296\times1.796 = 2.96+0.531616 = 3.491616\), so \(-0.296\times11.796=-3.491616\)
The equation becomes \(-13.3 + k=-3.491616\)

Step3: Solve for k

Add \(13.3\) to both sides of the equation: \(k=-3.491616 + 13.3\)
\(k = 9.808384\)

Answer:

\(k = 9.808384\)