Pregunta
Write the phrase as an algebraic expression. Let x represent the unknown number. Twenty-seven divided by the sum of a number and nine Twenty-seven divided by the sum of a number and nine can be written as
Ask by Reyes Paul. in the United States
Feb 04,2025
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The algebraic expression is \( \frac{27}{x + 9} \).
Solución
To express the phrase "Twenty-seven divided by the sum of a number and nine" as an algebraic expression, we can break it down as follows:
1. Let \( x \) represent the unknown number.
2. The sum of the number \( x \) and nine can be written as \( x + 9 \).
3. Twenty-seven divided by this sum can be expressed as \( \frac{27}{x + 9} \).
Thus, the algebraic expression is:
\[
\frac{27}{x + 9}
\]
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Simplifique esta solución Extra Insights
27 / (x + 9) When you break it down, you're taking 27 and dividing it by the total of whatever number \( x \) is plus 9. It's like saying you have a fixed amount of candy (27 pieces), and you're trying to share it evenly with a bunch of friends (the number + 9). The more friends you have, the fewer pieces each one gets! This expression is a great way to explore how numbers interact in algebra. Imagine you’re adjusting \( x \) each time—like adding more friends or subtracting—watch how the outcome changes. If \( x \) is small, the division gives you a larger share, while a larger \( x \) means everyone gets a little less. Mathematics can really show the ebb and flow of sharing!
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