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To solve the given proportion [tex]\( \frac{9}{81} = \frac{x}{9} \)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Set Up the Proportion:
The given proportion is:
[tex]\[ \frac{9}{81} = \frac{x}{9} \][/tex]
2. Cross-Multiply:
Cross-multiplication helps to eliminate the fractions. Cross-multiply the two fractions:
[tex]\[ 9 \times 9 = 81 \times x \][/tex]
which simplifies to:
[tex]\[ 81 = 81x \][/tex]
3. Solve for [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], divide both sides of the equation by 81:
[tex]\[ x = \frac{81}{81} \][/tex]
Simplifying the right-hand side:
[tex]\[ x = 1 \][/tex]
4. Conclusion:
Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 1 \)[/tex].
Given the choices:
- A. 9
- B. 3
- C. 18
- D. 1
The correct answer is:
D. 1
1. Set Up the Proportion:
The given proportion is:
[tex]\[ \frac{9}{81} = \frac{x}{9} \][/tex]
2. Cross-Multiply:
Cross-multiplication helps to eliminate the fractions. Cross-multiply the two fractions:
[tex]\[ 9 \times 9 = 81 \times x \][/tex]
which simplifies to:
[tex]\[ 81 = 81x \][/tex]
3. Solve for [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], divide both sides of the equation by 81:
[tex]\[ x = \frac{81}{81} \][/tex]
Simplifying the right-hand side:
[tex]\[ x = 1 \][/tex]
4. Conclusion:
Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 1 \)[/tex].
Given the choices:
- A. 9
- B. 3
- C. 18
- D. 1
The correct answer is:
D. 1
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