jennifer has built a shelf which can safely support 16.40 pounds. if there are 2.20462 pounds in a kilogram, how many kilograms can jennifers shelf support?
a. 7.44 kg
b. 13.44 kg
c. 32.42 kg
d. 36.16 kg

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", "Mass Units Comparison" ] } ## Identify given values and target Using the *Unit Conversion* and *Dimensional Analysis* knowledge points $$ \begin{aligned} &\text{Shelf capacity} = 16.40\text{ lbs}\ &\text{Conversion factor} = 2.20462\text{ lbs/kg}\ &\text{Target} = \text{Capacity in kg} \end{aligned} $$ ## Calculate capacity in kilograms Using the *Unit Conversion* and *Dimensional Analysis* knowledge points $$ \begin{aligned} \text{Capacity in kg} &= \frac{16.40\text{ lbs}}{2.20462\text{ lbs/kg}} \ &\approx 7.4389\text{ kg} \ &\approx 7.44\text{ kg} \end{aligned} $$

a. 7.44 kg

b. 13.44 kg

c. 32.42 kg

d. 36.16 kg

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

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Question

Explanation:

Identify given values and target

Calculate capacity in kilograms

Answer: