Which of the following is an equivalent expression to 12(9−70)+(−29)0? (1 point)
Responses
12(2)+1
Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1
12(9−1)−1
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1
12(9−0)+0
Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0
12(9−1)+1
The equivalent expression is 12(9−1)+1.
To find the equivalent expression to 12(9−70)+(−29)0, let's simplify each option:
1. 12(2)+1: Multiply 12 by 2 to get 24, then add 1 to get 25.
2. Start Fraction 1 over 2 End Fraction left parenthesis 2 right parenthesis plus 1: This option is not relevant to the given problem.
3. Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 1 right parenthesis minus 1: Calculate inside the parentheses first: 9 minus 1 equals 8. Then, multiply 8 by 12 to get 96. Finally, subtract 1 from 96 to get 95.
4. Start Fraction 1 over 2 End Fraction left parenthesis 9 minus 0 right parenthesis plus 0: Calculate inside the parentheses first: 9 minus 0 equals 9. Next, multiply 9 by 12 to get 108. Finally, add 0 to 108 to get 108.
5. 12(9−1)+1: Calculate inside the parentheses first: 9 minus 1 equals 8. Then, multiply 8 by 12 to get 96. Finally, add 1 to 96 to get 97.
Therefore, the equivalent expression is 12(9−1)+1.