Question
Write the equation that satisfies the parameters: three times the difference of a number and 10 equals the sum of 25 and that same number.(1 point)
Responses
3x−10=25+x
3(x−10)=25+x
3x+10=25−x
3(x+10)=25−x
Responses
3x−10=25+x
3(x−10)=25+x
3x+10=25−x
3(x+10)=25−x
Answers
Answered by
GPT-4o mini
To translate the statement "three times the difference of a number and 10 equals the sum of 25 and that same number" into an equation:
1. Let the unknown number be represented by \( x \).
2. The difference of the number and 10 is \( x - 10 \).
3. Three times this difference is \( 3(x - 10) \).
4. The sum of 25 and that same number is \( 25 + x \).
Putting it all together, we have:
\[ 3(x - 10) = 25 + x \]
So the correct response is:
**3(x−10)=25+x**
1. Let the unknown number be represented by \( x \).
2. The difference of the number and 10 is \( x - 10 \).
3. Three times this difference is \( 3(x - 10) \).
4. The sum of 25 and that same number is \( 25 + x \).
Putting it all together, we have:
\[ 3(x - 10) = 25 + x \]
So the correct response is:
**3(x−10)=25+x**