patrick laid a pencil and a candle end-to-end. the pencil is 15.80 centimeters long, the candle is 0.303 yards long. there are 30.48 centimeters in a foot. how many inches long are the two items placed end-to-end?
a. 0.48 in
b. 16.10 in
c. 17.13 in
d. 43.51 in

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Unit Conversion", "Dimensional Analysis" ], "new_concepts": [], "current_concepts": [ "Unit Conversion", "Dimensional Analysis" ] } ## Convert pencil length to inches Using the *Unit Conversion* and *Dimensional Analysis* knowledge points $$ \begin{aligned} L_{\text{pencil}} &= 15.80\text{ cm} \times \frac{1\text{ ft}}{30.48\text{ cm}} \times \frac{12\text{ in}}{1\text{ ft}} \ L_{\text{pencil}} &= 15.80 \times \frac{12}{30.48}\text{ in} \ L_{\text{pencil}} &\approx 6.22047\text{ in} \end{aligned} $$ ## Convert candle length to inches Using the *Unit Conversion* and *Dimensional Analysis* knowledge points $$ \begin{aligned} L_{\text{candle}} &= 0.303\text{ yards} \times \frac{36\text{ in}}{1\text{ yard}} \ L_{\text{candle}} &= 10.908\text{ in} \end{aligned} $$ ## Calculate total length Using the *Unit Conversion* knowledge point $$ \begin{aligned} L_{\text{total}} &= L_{\text{pencil}} + L_{\text{candle}} \ L_{\text{total}} &\approx 6.22047\text{ in} + 10.908\text{ in} \ L_{\text{total}} &\approx 17.12847\text{ in} \approx 17.13\text{ in} \end{aligned} $$

(a) 0.48 in

(b) 16.10 in

(c) 17.13 in

(d) 43.51 in

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Unit Conversion" ] }

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Question

Explanation:

Convert pencil length to inches

Convert candle length to inches

Calculate total length

Answer: