Subjects algebra

Division Equation

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem asks to identify the correct division equation from the given options. 2. Division equations relate a dividend, divisor, and quotient as: $$\text{dividend} \div \text{divisor} = \text{quotient}$$ 3. Here, the numbers 49 and 13,622 are involved, and the unknown is represented by $d$. 4. To find the correct equation, consider the meaning of each option: - Option A: $49 \div 13,622 = d$ means dividing 49 by 13,622. - Option B: $d \div 49 = 13,622$ means dividing $d$ by 49 equals 13,622. - Option C: $d \div 13,622 = 49$ means dividing $d$ by 13,622 equals 49. - Option D: $13,622 \div 49 = d$ means dividing 13,622 by 49 equals $d$. 5. To check which is correct, solve for $d$ in options B and C: - From B: $d = 13,622 \times 49$ - From C: $d = 49 \times 13,622$ Both B and C give the same $d$ value. 6. Option D directly states $d = 13,622 \div 49$, which is the quotient of dividing 13,622 by 49. 7. Since the problem likely wants the division equation that defines $d$ as the quotient of 13,622 divided by 49, Option D is the correct choice. **Final answer:** Option D: $$13,622 \div 49 = d$$