solve by first clearing decimals.

\4.6 = 4 - 0.075p\

Question

solve by first clearing decimals.

\4.6 = 4 - 0.075p\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Clearing Decimals", "Linear Equations" ], "current_concepts": [ "Clearing Decimals", "Linear Equations", "Decimal Arithmetic" ] } ## Multiply by a power of ten to clear decimals $$ \begin{aligned} 1000 \cdot (4.6) &= 1000 \cdot (4 - 0.075p) \ 4600 &= 4000 - 75p \end{aligned} $$ ## Isolate the variable term $$ \begin{aligned} 4600 - 4000 &= -75p \ 600 &= -75p \end{aligned} $$ ## Solve for p $$ \begin{aligned} p &= \frac{600}{-75} \ p &= -8 \end{aligned} $$ $p = -8$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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Question

Explanation:

Multiply by a power of ten to clear decimals

Isolate the variable term

Solve for p

Answer: