Question
Write the equation that satisfies the parameters: two times the sum of a number and 24 equals the difference of 76 and that same number.(1 point)
Responses
2x+24=x−76
2 x plus 24 is equal to x minus 76
2(x+24)=76−x
2 times open paren x plus 24 close paren is equal to 76 minus x
2(x+24)=x−76
2 times open paren x plus 24 close paren is equal to x minus 76
2x+24=76−x
Responses
2x+24=x−76
2 x plus 24 is equal to x minus 76
2(x+24)=76−x
2 times open paren x plus 24 close paren is equal to 76 minus x
2(x+24)=x−76
2 times open paren x plus 24 close paren is equal to x minus 76
2x+24=76−x
Answers
GPT-4o mini
To set up the equation based on the problem statement, we can break it down as follows:
1. Let \( x \) be the unknown number.
2. The phrase "two times the sum of a number and 24" translates to \( 2(x + 24) \).
3. The phrase "the difference of 76 and that same number" translates to \( 76 - x \).
Putting it all together, we have the equation:
\[ 2(x + 24) = 76 - x \]
Thus, the correct response is:
**2(x + 24) = 76 - x**
*2 times open paren x plus 24 close paren is equal to 76 minus x*
1. Let \( x \) be the unknown number.
2. The phrase "two times the sum of a number and 24" translates to \( 2(x + 24) \).
3. The phrase "the difference of 76 and that same number" translates to \( 76 - x \).
Putting it all together, we have the equation:
\[ 2(x + 24) = 76 - x \]
Thus, the correct response is:
**2(x + 24) = 76 - x**
*2 times open paren x plus 24 close paren is equal to 76 minus x*