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1 year ago

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Susan joined a video rental club. she paid an initiation fee of 12.75, and it cost 0.90 per video that she rented.write and equa

tion to show the total amount , Susan paid for rent videos

1 answer:

Alex17521 [72]1 year ago

6 0

Answer:

t = 12.75 + 0.90n

Explanations:

Initial fee = $12.75

Cost per video = $0.90

Let the number of video be n

Let the total amount be represented t

The total amount = (Initiation fee) + (Cost per video)(Number of video)

t = 12.75 + 0.90n

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-The set B represents those who would not go to a beach.

-The set C represents those who would not go to the family cottage.

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$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

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By the same logic, we have:

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

This diagram has the following values:

$a,b,c,d,(A \cap B), (A \cap C), (B \cap C), (A \cap B \cap C)$

The total number of family members is the sum of all these values:

$T = a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

We start finding the values from the intersection of the three sets

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This means that $A \cap B \cap C = 5$

1 would go to all three places. This means that $d = 1$ .

8 would go to neither a park nor the family cottage

This means that:

$A \cap C + (A \cap B \cap C) = 8$

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$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

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Now, we can find the total number of family members.

$T = a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

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$T = 21$

The total number of family members is 21.

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