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Answer :
To find the correct equation that represents the statement "Half of a number minus seven is one and five-tenths," we can break it down step-by-step:
1. Identify the statement:
- "Half of a number": This means we're taking half of an unknown number, which can be represented as [tex]\(\frac{x}{2}\)[/tex] or [tex]\((1/2) \times x\)[/tex].
2. Subtract seven:
- From half of this number, seven is subtracted, giving us [tex]\(\frac{x}{2} - 7\)[/tex].
3. Equate to one and five-tenths:
- The expression [tex]\(\frac{x}{2} - 7\)[/tex] should be equal to one and five-tenths, which is numerically [tex]\(1.5\)[/tex].
Putting this together, the equation representing the statement is:
[tex]\[
\frac{x}{2} - 7 = 1.5
\][/tex]
Now, let's find the option that matches this equation:
- Option 1: [tex]\(\frac{1}{2} + x = 15\)[/tex] — This is not correct.
- Option 2: [tex]\(\frac{1}{2} x - 15 = 7\)[/tex] — This is not correct.
- Option 3: [tex]\(\frac{x}{2} - 7 = 15\)[/tex] — This matches the form [tex]\(\frac{x}{2} - 7 = 15\)[/tex] we need to represent the statement, but remember this has the wrong equality, this should be [tex]\(\frac{x}{2} - 7 = 1.5\)[/tex].
- Option 4: [tex]\(7 - \frac{x}{2} = 15\)[/tex] — This is not correct.
However, there seems to be an oversight when considering '15' in the option three above. Analyze the statements carefully for a described mismatch and consider matching to consider that instead, correction on value rather than logic not to mislead.
Note the equation from set was about configuration of:
- Correct logic but adjustment: [tex]\(\frac{x}{2} - 7 = 1.5\)[/tex]. Hence if consult with noted evaluations and adjust to understand final selected, correction needed possibly originate from sort visual oversight or textual misstep.
Understanding context or correct suggested logic could attribute confirmation outside plain step but validation must navigate without error misconceptions, offered context allows for deeper steps.
1. Identify the statement:
- "Half of a number": This means we're taking half of an unknown number, which can be represented as [tex]\(\frac{x}{2}\)[/tex] or [tex]\((1/2) \times x\)[/tex].
2. Subtract seven:
- From half of this number, seven is subtracted, giving us [tex]\(\frac{x}{2} - 7\)[/tex].
3. Equate to one and five-tenths:
- The expression [tex]\(\frac{x}{2} - 7\)[/tex] should be equal to one and five-tenths, which is numerically [tex]\(1.5\)[/tex].
Putting this together, the equation representing the statement is:
[tex]\[
\frac{x}{2} - 7 = 1.5
\][/tex]
Now, let's find the option that matches this equation:
- Option 1: [tex]\(\frac{1}{2} + x = 15\)[/tex] — This is not correct.
- Option 2: [tex]\(\frac{1}{2} x - 15 = 7\)[/tex] — This is not correct.
- Option 3: [tex]\(\frac{x}{2} - 7 = 15\)[/tex] — This matches the form [tex]\(\frac{x}{2} - 7 = 15\)[/tex] we need to represent the statement, but remember this has the wrong equality, this should be [tex]\(\frac{x}{2} - 7 = 1.5\)[/tex].
- Option 4: [tex]\(7 - \frac{x}{2} = 15\)[/tex] — This is not correct.
However, there seems to be an oversight when considering '15' in the option three above. Analyze the statements carefully for a described mismatch and consider matching to consider that instead, correction on value rather than logic not to mislead.
Note the equation from set was about configuration of:
- Correct logic but adjustment: [tex]\(\frac{x}{2} - 7 = 1.5\)[/tex]. Hence if consult with noted evaluations and adjust to understand final selected, correction needed possibly originate from sort visual oversight or textual misstep.
Understanding context or correct suggested logic could attribute confirmation outside plain step but validation must navigate without error misconceptions, offered context allows for deeper steps.
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