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Eva8 [605]
3 years ago
12

Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9}. n distinct integers will be chosen from A. How big does n have to be

Mathematics
1 answer:
Hitman42 [59]3 years ago
7 0
Partition the set A into 4 subsets: {1, 8}, {2, 7}, {3, 6}, and {4, 5}, each consisting of two integers whose sum is 9. If 5 integers are selected from A, then by the Pigeonhole Principle at least two must be from the same subset. But then the sum of these two integers is 9.
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The point (17,−9) is translated to the point (6,2). Select the description of the translation.
zubka84 [21]

Answer:

11 up , 11 left

Step-by-step explanation:

Given

(17, -9) to (6,2)

Required

Determine the translation rule

Considering the x coordinates.

From 17 to 6

6 is to the left of 17.

Using the translation rule:

x = x' + b

17 = 6 + b

17 - 6 = b

11 = b

b = 11

<em>Hence: From 17 to 6 is 11 units left translation</em>

Considering the y coordinates.

From -9 to 2

2 is at the top -9.

Using the translation rule:

y = y' + b

-9 = 2 + b

-9 - 2 = b

-11= b

b = -11

The negative value impies a upward translation.

Hence: From -9 to 2 is 11 units up translation

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How many factors does 25 have
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25 has 3 factors: 1, 5 and 25. Only those 3 numbers can be evenly divided into 25. 1 is a factor for every number, 5 can be divided into 25, 5 times and a number is always a factor of itself as well.
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6 0
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4th grade conversions please help!!
MAVERICK [17]
6 inches of yarn make 1 bracelet.

5 feet of yarn make how many bracelets?

1 foot = 12 inches
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6 inches of yarn make 1 bracelet
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6x = 60

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3 years ago
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