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Which algebraic expression represents "ten less than a number divided by twelve"?

A. [tex]\(\frac{n}{12} - 10\)[/tex]

B. [tex]\(\frac{12}{n} - 10\)[/tex]

C. [tex]\(10 - \frac{n}{12}\)[/tex]

D. [tex]\(10 - \frac{12}{n}\)[/tex]

Sagot :

GinnyAnsweridn
To solve the problem systematically, let's carefully examine the phrase "ten less than a number divided by twelve." We need to translate this English statement into a mathematical expression using the given keywords.

### Step-by-Step Solution:

1. Identify Key Phrases and Corresponding Symbols:

- "a number" is represented by [tex]\( n \)[/tex]
- "divided by" signifies division, symbolized by [tex]\( / \)[/tex]
- "twelve" is represented by [tex]\( 12 \)[/tex]
- "ten" is represented by [tex]\( 10 \)[/tex]
- "less than" indicates subtraction, signified by [tex]\( - \)[/tex]

2. Break Down the Phrase:
- "a number divided by twelve" translates to [tex]\( \frac{n}{12} \)[/tex]
- "ten less than" means we subtract 10 from the previous result

3. Combine the Expressions:
- Starting with [tex]\( \frac{n}{12} \)[/tex]
- We need to subtract 10 from this value: [tex]\( \frac{n}{12} - 10 \)[/tex]

4. Verification:
- The expression [tex]\( \frac{n}{12} - 10 \)[/tex] should correctly reflect the given phrase.

### Conclusion:
The correct algebraic expression for "ten less than a number divided by twelve" is:

[tex]\[ \frac{n}{12} - 10 \][/tex]

Hence, the correct option is:
[tex]\[ \boxed{\frac{n}{12} - 10} \][/tex]
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