| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | D. 30x + 15y |
D |
| deepseekr1 | To determine which expression is equivalent to \(5(6x + 3y)\), apply the distributive property by multiplying 5 by each term inside the parentheses: - \(5 \times 6x = 30x\) - \(5 \times 3y = 15y\). Combining these results gives \(30x + 15y\). **Analysis of options**: - **A. 11x + 3y**: Incorrect, as neither term is correctly multiplied by 5. - **B. 11x + 8y**: Incorrect, coefficients do not match the distributive result. - **C. 30x + 3y**: Partially correct for the \(x\)-term, but the \(y\)-term is not multiplied by 5. - **D. 30x + 15y**: Correct, both terms are properly distributed. **Answer**: D |
D |
| gpto1 | D | D |
| GPT-4o | D. 30x + 15y | D |
| llama3.1-70B-Instruct | To find the equivalent expression, we need to distribute the 5 to both terms inside the parentheses: 5(6x + 3y) = 5(6x) + 5(3y) = 30x + 15y So, the correct answer is: D. 30x + 15y |
D |
| llama3.1-405B-Instruct | D |
D |
| DeepSeek-Coder-V2 | D. 30x + 15y | D |
| Qwen2-72B-Instruct | D. 30x + 15y | D |
| baichuan4 | D | D |
| doubao | D. 30x + 15y 5(6x + 3y) = 5×6x + 5×3y = 30x + 15y. |
D |
| minimax | D. 30x + 15y | D |
| kimi | D. 30x + 15y | D |
| wenxinyiyan | D Explanation: To find an expression equivalent to 5(6x + 3y), we need to apply the distributive property of multiplication over addition. This property states that for any numbers a, b, and c, a(b + c) = ab + ac. Using this property, we can expand 5(6x + 3y) as follows: 5(6x + 3y) = 5 * 6x + 5 * 3y = 30x + 15y Therefore, the expression equivalent to 5(6x + 3y) is 30x + 15y, which corresponds to option D. |
D |
| zhipu | D Explanation: To find the equivalent expression, distribute the 5 through the parentheses: 5(6x + 3y) = 5 * 6x + 5 * 3y = 30x + 15y So, the correct answer is D. 30x + 15y. |
D |
| gpto1 | D | D |
| deepseekv3 | To solve the problem, we need to distribute the multiplication over the addition inside the parentheses. Here's the step-by-step solution: 1. Start with the original expression: \[ 5(6x + 3y) \] 2. Distribute the 5 to both terms inside the parentheses: \[ 5 \cdot 6x + 5 \cdot 3y \] 3. Perform the multiplication: \[ 30x + 15y \] 4. Compare the result with the given options: - A. \(11x + 3y\) - B. \(11x + 8y\) - C. \(30x + 3y\) - D. \(30x + 15y\) The expression \(30x + 15y\) matches option D. **Answer:** D |
D |