Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for (k). \\-0.3 = \\frac{k + 5}{-1}\\ (k =)

Question

solve for (k).

\\-0.3 = \frac{k + 5}{-1}\\

(k =)

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Solving for Variables"
],
"new_concepts": [
"Multi-Step Equations",
"Linear Equations with Decimals"
],
"current_concepts": [
"Solving for Variables",
"Multi-Step Equations",
"Linear Equations with Decimals"
]
}
</pre_analysis>

<reasoning>

Eliminate the denominator

\[
-0.3 \cdot (-1) = k + 5
\]
\[
0.3 = k + 5
\]

Isolate the variable

\[
k = 0.3 - 5
\]

Calculate the final value

\[
k = -4.7
\]
</reasoning>

<answer>
Solve for \(k\).

\[-0.3 = \frac{k + 5}{-1}\]

\(k =\) <blank>\(-4.7\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Multi-Step Equations"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Solving for Variables"
],
"new_concepts": [
"Multi-Step Equations",
"Linear Equations with Decimals"
],
"current_concepts": [
"Solving for Variables",
"Multi-Step Equations",
"Linear Equations with Decimals"
]
}
</pre_analysis>

<reasoning>

Eliminate the denominator

\[
-0.3 \cdot (-1) = k + 5
\]
\[
0.3 = k + 5
\]

Isolate the variable

\[
k = 0.3 - 5
\]

Calculate the final value

\[
k = -4.7
\]
</reasoning>

<answer>
Solve for \(k\).

\[-0.3 = \frac{k + 5}{-1}\]

\(k =\) <blank>\(-4.7\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Multi-Step Equations"
]
}
</post_analysis>