Question
Which equation has the same unknown value as \( 46.5-17.32=\square \) ? (a) \( \square-17.32=46.5 \) ( \( 17.32+\square=46.5 \)
Ask by Cummings Haynes. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The equation \( 17.32 + \square = 46.5 \) has the same unknown value as \( 46.5 - 17.32 = \square \).
Solution
To determine which equation has the same unknown value as \( 46.5 - 17.32 = \square \), we first need to solve for \( \square \).
1. Calculate \( \square \):
\[
\square = 46.5 - 17.32
\]
Now, let's perform the calculation:
\[
\square = 46.5 - 17.32 = 29.18
\]
Next, we will check both equations to see which one also results in \( \square = 29.18 \).
**Option (a):** \( \square - 17.32 = 46.5 \)
Substituting \( \square = 29.18 \) into this equation:
\[
29.18 - 17.32 = 46.5
\]
Calculating the left side:
\[
29.18 - 17.32 = 11.86 \quad (\text{not equal to } 46.5)
\]
**Option (b):** \( 17.32 + \square = 46.5 \)
Substituting \( \square = 29.18 \) into this equation:
\[
17.32 + 29.18 = 46.5
\]
Calculating the left side:
\[
17.32 + 29.18 = 46.5 \quad (\text{this is correct})
\]
Thus, the equation that has the same unknown value as \( 46.5 - 17.32 = \square \) is:
**(b) \( 17.32 + \square = 46.5 \)**.
Reviewed and approved by the UpStudy tutoring team
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Explain 
Simplify this solution Beyond the Answer
To find the missing value, we start with the equation \( 46.5 - 17.32 = \square \). If we rewrite this using the unknown value, we can rearrange it to be \( \square - 17.32 = 46.5 \). This shows that choice (a) is indeed correct, as both equations represent the same relationship! Now, if we consider the other option, with \( 17.32 + \square = 46.5 \), we can solve it to find \( \square = 46.5 - 17.32 \), which also leads us back to the same unknown value. So, technically, both equations share the same solution! How cool is that?
