Question

d) \\(\frac{k - 2.6}{5.2} = -0.418\\)

Explanation:

Step1: Multiply both sides by 5.2

To solve for \( k \), we first eliminate the denominator by multiplying both sides of the equation \(\frac{k - 2.6}{5.2}=-0.418\) by \( 5.2 \).
\[
\frac{k - 2.6}{5.2}\times5.2=-0.418\times5.2
\]
Simplifying the left side, the \( 5.2 \) in the numerator and denominator cancels out, leaving \( k - 2.6 \). For the right side, we calculate \( -0.418\times5.2 \).
\[
-0.418\times5.2=-2.1736
\]
So now our equation is \( k - 2.6=-2.1736 \).

Step2: Add 2.6 to both sides

To isolate \( k \), we add \( 2.6 \) to both sides of the equation \( k - 2.6=-2.1736 \).
\[
k - 2.6 + 2.6=-2.1736 + 2.6
\]
Simplifying both sides, the left side becomes \( k \) (since \( -2.6 + 2.6 = 0 \)), and the right side is \( -2.1736+2.6 = 0.4264 \).

Answer:

\( k = 0.4264 \)