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Maurinko [17]
3 years ago
15

A candy company can produce 4800 sour lemon candies per minute.How many candies can they produce each hour

Mathematics
1 answer:
matrenka [14]3 years ago
6 0

Answer

Find out the how many candies can they produce each hour .

To prove

As given

A candy company can produce 4800 sour lemon candies per minute.

As 1 hours = 60 mintues

4800 candies = 1 mintues (Given)

Now candy produced in the 60 mintues.

4800 candies × 60  = 1 mintues  × 60

288000 candies = 60 mintues

As 1 hours = 60 mintues

Therefore the candies produced 288000 candies for per hours.


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Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

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Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

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A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

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(A ∪ B)' = A' ∩ B'

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By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

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Answer:

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Step-by-step explanation:

we know that

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