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stephen belongs to a movie club. in which he pays an annual fee of 39.95 and rent dvds for 0.99 each. in one year. stephen spent 55.79. write and solve an equation to find how many dvds d he rented

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6 votes

Final answer:

To determine how many DVDs Stephen rented, set up an equation with the given annual fee and cost per DVD, then solve for the number of DVDs. After calculations, it turns out that Stephen rented 16 DVDs over the year.

Step-by-step explanation:

Stephen belongs to a movie club where he pays an annual fee plus a cost for each DVD he rents. To find out how many DVDs he rented, we can use the equation:

Annual fee + (Cost per DVD × Number of DVDs) = Total amount spent

Given the annual fee is $39.95 and the cost per DVD is $0.99, while the total amount spent is $55.79, the equation can be set up as follows:

$39.95 + $0.99d = $55.79

Now, we'll solve for 'd' which represents the number of DVDs Stephen rented:

  1. Subtract the annual fee from the total amount spent:
    $55.79 - $39.95 = $15.84
  2. Divide the result by the cost per DVD to find the number of DVDs:
    $15.84 ÷ $0.99 = 16 DVDs

Therefore, Stephen rented 16 DVDs in one year.

User Doomsday
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cost-c
d-dvd
c=0.99d+39.95
User Mikhail Stepanov
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