Question
Write the phrase as an algebraic expression. Let \( x \) represent the unknown number. Twenty-three divided by the sum of a number and four Twenty-three divided by the sum of a number and four can be written as
Ask by Wang Little. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The algebraic expression is \( \frac{23}{x + 4} \).
Solution
Twenty-three divided by the sum of a number and four can be written as:
\[
\frac{23}{x + 4}
\]
**Explanation:**
- Let \( x \) represent the unknown number.
- "The sum of a number and four" translates to \( x + 4 \).
- "Twenty-three divided by" indicates that 23 is the numerator.
- Combining these, the algebraic expression is \( \frac{23}{x + 4} \).
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Simplify this solution Bonus Knowledge
The phrase can be written as \( \frac{23}{x + 4} \). This expression represents taking twenty-three and dividing it by the total of the unknown number \( x \) increased by four. It's a straightforward interpretation of the words into a mathematical format! To ensure clarity, remember that "the sum of a number and four" indicates you need to add four to whatever that unknown number \( x \) represents before performing the division. This is a common structure in algebra, and it sets you up for solving equations where you isolate \( x \) afterward.
