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EastWind [94]
3 years ago
5

The length of a rectangle is 7 centimeters greater than the width.

Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

length = 17cm, width = 10cm

Step-by-step explanation:

2L + 2w = 54

L = w + 7

Substitute:

2(w + 7) + 2w = 54

2w + 14 + 2w = 54

4w = 40

w = 10

L = 10 + 7 = 17

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The diagram represents three statements about animals at the zoo: p, q, and r.
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Answer:

15 is the total number of animals for which (p ∨ q) ∧ r true.

Step-by-step explanation:

From the diagram it is clear that

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r contains {2, 4, 6, 9}

p ∨ q is the union of p and q which include all the animals which are in p, in q, or in both p and q.

Note: p ∨ q can not have duplicate animals

So,

p ∨ q = {2, 4, 5, 7, 8, 9}

(p ∨ q) ∧ r contains the animals which need to be common in both (p ∨ q) and r.

As

p ∨ q = {2, 4, 5, 7, 8, 9}

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So,

(p ∨ q) ∧ r = {2, 4, 9}

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2 + 4 + 9 = 15

Therefore, 15 is the total number of animals for which (p ∨ q) ∧ r true.

Keywords: union, and operation, or operation

Learn more about union, and operation, or operation from brainly.com/question/13637539

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