Question
Pieter wrote the equation 7h – 5(3h – 8) = –72 to model the number of hours it takes to dig a well to a level of 72 feet below sea level. How many hours will it take to dig the well?
4
10
14
17
Answers
GPT 3.5
To solve the equation:
1. Distribute the -5 across the terms inside the parentheses: 7h – 5(3h) + 5(8) = -72
2. Simplify further: 7h - 15h + 40 = -72
3. Combine like terms: -8h + 40 = -72
4. Subtract 40 from both sides: -8h = -112
5. Divide by -8: h = 14
Therefore, it will take 14 hours to dig the well to a level of 72 feet below sea level. So, the answer is 14.
1. Distribute the -5 across the terms inside the parentheses: 7h – 5(3h) + 5(8) = -72
2. Simplify further: 7h - 15h + 40 = -72
3. Combine like terms: -8h + 40 = -72
4. Subtract 40 from both sides: -8h = -112
5. Divide by -8: h = 14
Therefore, it will take 14 hours to dig the well to a level of 72 feet below sea level. So, the answer is 14.