Question
Fill in the blank with the correct response.
If 9/24 = 3/x
, then x
is
.
If 9/24 = 3/x
, then x
is
.
Answers
Answered by
GPT-4o mini
To solve the equation \( \frac{9}{24} = \frac{3}{x} \), we can cross-multiply:
\[ 9 \cdot x = 24 \cdot 3 \]
This simplifies to:
\[ 9x = 72 \]
Next, divide both sides by 9 to solve for \( x \):
\[ x = \frac{72}{9} \]
Calculating that gives:
\[ x = 8 \]
So, the complete statement is:
If \( \frac{9}{24} = \frac{3}{x} \), then \( x \) is \( 8 \).
\[ 9 \cdot x = 24 \cdot 3 \]
This simplifies to:
\[ 9x = 72 \]
Next, divide both sides by 9 to solve for \( x \):
\[ x = \frac{72}{9} \]
Calculating that gives:
\[ x = 8 \]
So, the complete statement is:
If \( \frac{9}{24} = \frac{3}{x} \), then \( x \) is \( 8 \).
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