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Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices 44 days per week. Each of those days, they practice for 33 hours in the morning and practice again in the afternoon. They practice for a total of 2020 hours each week.\newlineWhich equation can you use to find hh, the length of each afternoon practice in hours?\newlineChoices:\newline(A) 4(h+3)=204(h + 3) = 20\newline(B) 4h+3=204h + 3 = 20\newline(C) 3(h+4)=203(h + 4) = 20\newline(D) 3h+4=203h + 4 = 20\newlineHow long is each afternoon practice?\newlineWrite your answer as a whole number or a simplified fraction.\newline____ hours\newline

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Q. Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices 44 days per week. Each of those days, they practice for 33 hours in the morning and practice again in the afternoon. They practice for a total of 2020 hours each week.\newlineWhich equation can you use to find hh, the length of each afternoon practice in hours?\newlineChoices:\newline(A) 4(h+3)=204(h + 3) = 20\newline(B) 4h+3=204h + 3 = 20\newline(C) 3(h+4)=203(h + 4) = 20\newline(D) 3h+4=203h + 4 = 20\newlineHow long is each afternoon practice?\newlineWrite your answer as a whole number or a simplified fraction.\newline____ hours\newline
  1. Identify Equation: Identify the correct equation to represent the total weekly practice hours. The team practices 44 days a week, with 33 hours in the morning each day. The afternoon practice length is unknown, represented by hh. The total weekly practice hours are 2020. The equation should account for both morning and afternoon sessions over 44 days.
  2. Set Up Equation: Set up the equation based on the total hours of practice. Each day includes 33 hours in the morning and hh hours in the afternoon, multiplied by 44 days: 4(3+h)=204(3 + h) = 20.
  3. Solve Equation for h: Solve the equation for h. Start by simplifying inside the parentheses: 4(3+h)=204(3 + h) = 20 becomes 12+4h=2012 + 4h = 20.
  4. Subtract to Isolate hh: Subtract 1212 from both sides to isolate the term with hh: 4h=20124h = 20 - 12, which simplifies to 4h=84h = 8.
  5. Divide to Solve hh: Divide both sides by 44 to solve for hh: h=84h = \frac{8}{4}, which simplifies to h=2h = 2.