use the cross product property to determine whether or not the following equations are proportions:

$\frac{10}{3} \div 25 = 2 \div 15$

Question

use the cross product property to determine whether or not the following equations are proportions:

$\frac{10}{3} \div 25 = 2 \div 15$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Proportions", "Cross Product Property" ], "new_concepts": [], "current_concepts": [ "Proportions", "Cross Product Property" ] } ## Rewrite the division expressions as fractions $$ \begin{aligned} \text{Left Side (LHS)} &= \frac{\frac{10}{3}}{25} = \frac{10}{3 \times 25} = \frac{10}{75} \ \text{Right Side (RHS)} &= \frac{2}{15} \end{aligned} $$ ## Apply the cross product property $$ \begin{aligned} 10 \times 15 &= 150 \ 75 \times 2 &= 150 \end{aligned} $$ ## Compare the cross products $$ 150 = 150 $$ Yes, the equation is a proportion. { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Proportions" ] }

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Question

Explanation:

Rewrite the division expressions as fractions

Apply the cross product property

Compare the cross products

Answer: