To formulate the mathematical expressions for the given phrase "One hundred divided by twenty-five percent of forty is ten," follow these steps: 1. **Interpret "Twenty-Five Percent of Forty":** - Twenty-five percent is written as a decimal, which is 0.25. - "Twenty-five percent of forty" means multiplying 40 by 0.25: \[ 40 \times 0.25 = 10 \] 2. **Interpret "One Hundred Divided by" the Result:** - Now, divide one hundred by the result obtained in the previous step (which is 10): \[ \frac{100}{10} = 10 \] 3. **Formulate the Full Mathematical Expression:** - Combining both parts, the phrase can be expressed as the equation: \[ \frac{100}{0.25 \times 40} = 10 \] This confirms that the statement "One hundred divided by twenty-five percent of forty is ten" is true, as the mathematical operations show that the final result is indeed 10