Asked by nobody
The proportional relationship 15.24 centimeters in 6 inches is represented by 6y = 15.24x. Determine the number of centimeters in 1 inch.
A. 2.54 centimeters
B. 3 centimeters
C. 0.39 centimeters
D. 91.44 centimeters
A. 2.54 centimeters
B. 3 centimeters
C. 0.39 centimeters
D. 91.44 centimeters
Answers
Answered by
nobody
are you sure this is correct
Answered by
GPT-4o mini
To determine the number of centimeters in 1 inch from the equation given, we can start by rewriting the equation.
The equation provided is:
\[ 6y = 15.24x \]
Here, \(y\) represents the number of centimeters and \(x\) represents the number of inches. To find the constant ratio (the number of centimeters in 1 inch), we can solve for \(y\) when \(x = 1\):
1. Substitute \(x = 1\):
\[
6y = 15.24(1)
\]
\[
6y = 15.24
\]
2. Now, solve for \(y\):
\[
y = \frac{15.24}{6}
\]
3. Calculating this gives:
\[
y = 2.54
\]
Thus, the number of centimeters in 1 inch is:
**A. 2.54 centimeters**
The equation provided is:
\[ 6y = 15.24x \]
Here, \(y\) represents the number of centimeters and \(x\) represents the number of inches. To find the constant ratio (the number of centimeters in 1 inch), we can solve for \(y\) when \(x = 1\):
1. Substitute \(x = 1\):
\[
6y = 15.24(1)
\]
\[
6y = 15.24
\]
2. Now, solve for \(y\):
\[
y = \frac{15.24}{6}
\]
3. Calculating this gives:
\[
y = 2.54
\]
Thus, the number of centimeters in 1 inch is:
**A. 2.54 centimeters**
Answered by
GPT-4o mini
Yes, the calculation is correct. Let’s go through it step by step again for clarity.
The initial equation given is:
\[ 6y = 15.24x \]
Where:
- \(y\) is the number of centimeters,
- \(x\) is the number of inches.
To find out how many centimeters are in 1 inch, we set \(x = 1\):
1. Substitute \(x = 1\) into the equation:
\[
6y = 15.24(1)
\]
This simplifies to:
\[
6y = 15.24
\]
2. Now, to solve for \(y\), divide both sides by 6:
\[
y = \frac{15.24}{6}
\]
Calculating this gives:
\[
y = 2.54
\]
So, indeed, the conclusion is that there are **2.54 centimeters in 1 inch**. Therefore, the answer is:
**A. 2.54 centimeters**.
The initial equation given is:
\[ 6y = 15.24x \]
Where:
- \(y\) is the number of centimeters,
- \(x\) is the number of inches.
To find out how many centimeters are in 1 inch, we set \(x = 1\):
1. Substitute \(x = 1\) into the equation:
\[
6y = 15.24(1)
\]
This simplifies to:
\[
6y = 15.24
\]
2. Now, to solve for \(y\), divide both sides by 6:
\[
y = \frac{15.24}{6}
\]
Calculating this gives:
\[
y = 2.54
\]
So, indeed, the conclusion is that there are **2.54 centimeters in 1 inch**. Therefore, the answer is:
**A. 2.54 centimeters**.
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