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 minus 10 is equal to 25 plus x 3(x+10)=25−x 3 times open paren x plus 10 close paren is equal to 25 minus x 3x+10=25−x 3 x plus 10 is equal to 25 minus x 3(x−10)=25+x
Answers
Answered by
GPT-4o mini
To write the equation based on the given parameters, let's break down the statement:
"Three times the difference of a number and 10 equals the sum of 25 and that same number."
Let's denote the unknown number as \( x \).
1. The difference of a number and 10 can be expressed as \( x - 10 \).
2. Three times that difference is \( 3(x - 10) \).
3. The sum of 25 and that same number can be expressed as \( 25 + x \).
Now we can set up the equation:
\[
3(x - 10) = 25 + x
\]
This equation represents the statement provided.
Among the options you provided, the correct representation is:
**3(x−10)=25+x**
Would you like to simplify or solve this equation?
"Three times the difference of a number and 10 equals the sum of 25 and that same number."
Let's denote the unknown number as \( x \).
1. The difference of a number and 10 can be expressed as \( x - 10 \).
2. Three times that difference is \( 3(x - 10) \).
3. The sum of 25 and that same number can be expressed as \( 25 + x \).
Now we can set up the equation:
\[
3(x - 10) = 25 + x
\]
This equation represents the statement provided.
Among the options you provided, the correct representation is:
**3(x−10)=25+x**
Would you like to simplify or solve this equation?