question

solve: $\frac{3}{c} = -\frac{9}{64}$. express your answer as a simplified fraction.

provide your answer below:

$c = $

Question

question

solve: $\frac{3}{c} = -\frac{9}{64}$. express your answer as a simplified fraction.

provide your answer below:

$c = $

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving Rational Equations" ], "new_concepts": [], "current_concepts": [ "Solving Rational Equations" ] } ## Set up the equation and cross-multiply $$ \begin{aligned} \frac{3}{c} &= -\frac{9}{64} \ 3 \cdot 64 &= -9 \cdot c \ 192 &= -9c \end{aligned} $$ ## Solve for c $$ \begin{aligned} c &= \frac{192}{-9} \ c &= -\frac{64}{3} \end{aligned} $$ Solve: $\frac{3}{c} = -\frac{9}{64}$. Express your answer as a simplified fraction. $c =$ $-\frac{64}{3}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Rational Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the equation and cross-multiply

Solve for c

Answer: