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Answer :
To solve the problem where the sum of a number [tex]\( x \)[/tex] and [tex]\(\frac{1}{2}\)[/tex] is equal to 4, we can set up the equation as follows:
1. Write the equation:
[tex]\[
x + \frac{1}{2} = 4
\][/tex]
2. Solve for [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], subtract [tex]\(\frac{1}{2}\)[/tex] from both sides of the equation:
[tex]\[
x = 4 - \frac{1}{2}
\][/tex]
3. Calculate the value:
When you subtract [tex]\(\frac{1}{2}\)[/tex] from 4, you get:
[tex]\[
4 - \frac{1}{2} = 3.5
\][/tex]
So, the value of [tex]\( x \)[/tex] is 3.5.
Now, let's identify which set of equations correctly represents [tex]\( x \)[/tex]:
- The correct representation is the one that uses the equation [tex]\( x = 3.5 \)[/tex].
Hence, none of the given options exactly match, but the statement [tex]\( x = 3.5 \)[/tex] clearly corresponds to the correct solution.
1. Write the equation:
[tex]\[
x + \frac{1}{2} = 4
\][/tex]
2. Solve for [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], subtract [tex]\(\frac{1}{2}\)[/tex] from both sides of the equation:
[tex]\[
x = 4 - \frac{1}{2}
\][/tex]
3. Calculate the value:
When you subtract [tex]\(\frac{1}{2}\)[/tex] from 4, you get:
[tex]\[
4 - \frac{1}{2} = 3.5
\][/tex]
So, the value of [tex]\( x \)[/tex] is 3.5.
Now, let's identify which set of equations correctly represents [tex]\( x \)[/tex]:
- The correct representation is the one that uses the equation [tex]\( x = 3.5 \)[/tex].
Hence, none of the given options exactly match, but the statement [tex]\( x = 3.5 \)[/tex] clearly corresponds to the correct solution.
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