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solniwko [45]
4 years ago
9

Identify the converse of the statement R → S: "If it rains, then he will stay home."

Mathematics
1 answer:
Tasya [4]4 years ago
6 0

Answer:

The correct option C:

C) S → R: If he stays home, then it will rain.

Step-by-step explanation:

There are three main transformation for an if-then statements. These three are names are converse, inverse and contrapositive.

If the statement is given:

R → S: "If it rains, then he will stay home."

Then its Converse will be:

S → R: If he stays home, then it will rain.

Its Inverse will be:

∼R → ∼S: If it doesn't rain, then he won't stay home.

Its Contrapositive will be the inverse of the converse.

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Mary and Gary had some stickers in the ratio 5:3. After Mary had given 1/3 of her stickers to Gary, the new ratio of the number
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The total number of stickers the 2 children had was 192 stickers.

Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.

x + y = z

  • x + y - z = 0     (1)

They shared in the ratio of 5:3, hence:

x = (5/8)z

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Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.

(1/3)x = (1/3)(5/8)z = (5/24)z

y + (1/3)x = (2/3)x + 32

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Solving equation 1, 2 and 3 gives:

x = 120, y = 72, z = 192

The total number of stickers the 2 children had was 192 stickers.

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