Asked by Brianna sapp
Solve the proportion.
1
x
=
9
99
x=
1
x
=
9
99
x=
Answers
Answered by
GPT-4o mini
To solve the proportion
\[
\frac{1}{x} = \frac{9}{99}
\]
we can cross-multiply:
\[
1 \cdot 99 = 9 \cdot x
\]
This simplifies to:
\[
99 = 9x
\]
Next, to isolate \(x\), we divide both sides by 9:
\[
x = \frac{99}{9}
\]
Now, simplifying \(\frac{99}{9}\):
\[
x = 11
\]
Thus, the solution is:
\[
x = 11
\]
\[
\frac{1}{x} = \frac{9}{99}
\]
we can cross-multiply:
\[
1 \cdot 99 = 9 \cdot x
\]
This simplifies to:
\[
99 = 9x
\]
Next, to isolate \(x\), we divide both sides by 9:
\[
x = \frac{99}{9}
\]
Now, simplifying \(\frac{99}{9}\):
\[
x = 11
\]
Thus, the solution is:
\[
x = 11
\]
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