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2 November, 09:13

Maria has a collection of 40 baseball cards, of which x cards are damaged. The value of each undamaged card is 5 dollars and the value of each damaged card is 3 dollars. The expression below represents the total value, in dollars, of Maria's collection.

5 (40-x) + 3x

Which quantity does the second factor of the first term represent?

A

the number of undamaged cards

B

the value of each undamaged card

C

the value of each damaged card

D

the total value of the undamaged cards

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Answers (1)
  1. 2 November, 11:42
    0
    (40 - x) represents A. the number of undamaged cards

    Step-by-step explanation:

    Step 1; Maria has a total of 40 cards out of which x number of cards are damaged so 40 - x cards are undamaged. The value of an undamaged card is 5 dollars whereas every damaged card has a value of 3 dollars.

    Step 2; We need to determine what each term in equation 5 (40-x) + 3x represents. The equation will give us how much total value Maria's card collection has.

    The first term 5 (40 - x) signifies the total value of the undamaged cards in the deck where (40 - x) equals the total number of undamaged cards.

    The second term represents the total value of the undamaged cards.

    So the second factor of the first term i. e (40 - x) represents the amount of undamaged cards in her collection.
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