To solve the inequality [tex]\(10.13 + k \leq 26.83\)[/tex], we need to isolate [tex]\(k\)[/tex]. Here are the steps:
1. Start with the inequality:
[tex]\[
10.13 + k \leq 26.83
\][/tex]
2. Isolate [tex]\(k\)[/tex] by subtracting 10.13 from both sides of the inequality:
[tex]\[
k \leq 26.83 - 10.13
\][/tex]
3. Perform the subtraction:
[tex]\[
k \leq 16.7
\][/tex]
So, the solution to the inequality [tex]\(10.13 + k \leq 26.83\)[/tex] is:
[tex]\[
k \leq 16.7
\][/tex]
Thus, the correct answer is:
[tex]\[
\boxed{D}
\][/tex]
