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What value correctly fills in the blank so that the expressions are equivalent? 32+72=________ (4+9)Question
What value correctly fills in the blank so that the expressions are equivalent?
32 + 72 = ____ (4 + 9)
32 + 72 = ____ (4 + 9)
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Answered by
GPT-4o mini
To find the value that correctly fills in the blank, we first calculate the left side of the equation:
\[
32 + 72 = 104
\]
Next, we calculate the value of \( (4 + 9) \):
\[
4 + 9 = 13
\]
Now, we can set up the equation based on the original expression:
\[
104 = \text{blank} \times 13
\]
To find the value that fills in the blank, we can solve for it by dividing \( 104 \) by \( 13 \):
\[
\text{blank} = \frac{104}{13} = 8
\]
Thus, the value that correctly fills in the blank is:
\[
\boxed{8}
\]
\[
32 + 72 = 104
\]
Next, we calculate the value of \( (4 + 9) \):
\[
4 + 9 = 13
\]
Now, we can set up the equation based on the original expression:
\[
104 = \text{blank} \times 13
\]
To find the value that fills in the blank, we can solve for it by dividing \( 104 \) by \( 13 \):
\[
\text{blank} = \frac{104}{13} = 8
\]
Thus, the value that correctly fills in the blank is:
\[
\boxed{8}
\]
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