High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Solve for [tex]$k$[/tex].

[tex]\[
\begin{array}{l}
k \div 6 = 1.69 \\
k = \square
\end{array}
\][/tex]

Answer :

Sure! Let's solve the equation [tex]\( k \div 6 = 1.69 \)[/tex] step-by-step to find the value of [tex]\( k \)[/tex].

1. Understand the equation: We have [tex]\( k \)[/tex] divided by 6 which is equal to 1.69. We want to solve for [tex]\( k \)[/tex].

2. Isolate [tex]\( k \)[/tex]: To get [tex]\( k \)[/tex] by itself, we need to undo the division by 6. We can do this by multiplying both sides of the equation by 6. This is because multiplication and division are inverse operations.

[tex]\[
k \div 6 \times 6 = 1.69 \times 6
\][/tex]

3. Simplify the equation: On the left-hand side, [tex]\( k \div 6 \times 6 \)[/tex] simplifies to [tex]\( k \)[/tex] because the division and multiplication by 6 cancel each other out.

[tex]\[
k = 1.69 \times 6
\][/tex]

4. Calculate the result: Multiply 1.69 by 6 to find the value of [tex]\( k \)[/tex].

[tex]\[
k = 10.14
\][/tex]

So, the value of [tex]\( k \)[/tex] is 10.14.