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Deffense [45]
3 years ago
15

A courtyard has three walls with widths

Mathematics
1 answer:
wariber [46]3 years ago
8 0

Using the greatest common factor, it is found that the greatest dimensions each tile can have is of 3 feet.

---------------------------

  • The widths of the walls are of <u>27 feet, 18 feet and 30 feet.</u>
  • <u>The tiles must fit the width of each wall</u>, thus, the greatest dimension they can have is the greatest common factor of 27, 18 and 30.

To find their greatest common factor, these numbers must be factored into prime factors simultaneously, that is, only being divided by numbers of which all three are divisible, thus:

27 - 18 - 30|3

9 - 6 - 10

No numbers by which all of 9, 6 and 10 are divisible, thus, gcf(27,18,30) = 3 and the greatest dimensions each tile can have is of 3 feet.

A similar problem is given at brainly.com/question/6032811

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Find three consecutive even integers such that the product of the first and second is 8 more than 38 times the third.
BigorU [14]

Answer:

40, 42 and 44

Step-by-step explanation:

Mark these even consecutive integers as (2n-2), 2n and (2n+2)

Note that since they are integers, n > 0 and 2n is always even

Writing the equation

(2n-2) * 2n = 38 * (2n+2) + 8

// divide both sides by 2

(2n-2) * n = 19 * (2n+2) + 4

2n^{2} - 2n = 38n + 38 + 4

2n^{2} - 2n - 38n - 38 - 4 = 0

2n^{2} - 40n - 42 = 0

// divide both sides by 2

<u />n^{2} - 20n - 21 = 0

// rewrite the equation

<u></u>n^{2} + n - 21n - 21 = 0

n * (n+1) - 21n - 21 = 0

n * (n+1) - 21 * (n+1) = 0

(n+1) * (n-21) = 0

// separate the two possible cases

n + 1 = 0 and n - 21 = 0

n = -1              n = 21

Note that here n has to be an integer, so case n = -1 can't be a solution. Therefore we use n = 21

Calculating the consecutive even integers

2n - 2 = 2 * 21 - 2 = 40

2n = 2 * 21 = 42

2n + 2 = 2 * 21 + 2 = 44

4 0
3 years ago
I need to find the value of y
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Y might be 90 degrees
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What is 3/4 of a ribbon that is 7 feet long?
Oksi-84 [34.3K]

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Step-by-step explanation:

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3 years ago
PLEASE HELD DUE IN AN HOUR WILL MARK BRAINLIEST
Talja [164]

Answer: See the attached image below for the dot plot

==============================================

Explanation:

The list

{50, 45, 24, 28, 27, 38, 21, 22, 23, 42, 41, 35, 37, 25, 43}

sorts to

{21, 22, 23, 24, 25, 27, 28, 35, 37, 38, 41, 42, 43, 45, 50}

Draw out a number line. Make sure to go as far down to 21 and as high as 50.

Then plot dots above the numbers 21, 22, 23,24,25,27,28, etc. Each item in the sorted list will get a dot overhead. In this case, there are no repeated items, so each stack is 1 dot high.

See the diagram below.

You may need to click on the magnifying glass if the diagram is either too small or distorted.

5 0
3 years ago
Please help<br><br> find the value of x in the given ratio.<br><br> 2/3=x/15
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The answer to this is x=3
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