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Juliette [100K]
3 years ago
13

A rectangular bulletin board is 12 inches tall and 27 inches wide. Elena plans to cover it with squares of colored paper that ar

e all the same size. The paper squares come in different sizes; all of them have whole-number inches for their side lengths.
What is the side length of the largest square that Elena could use to cover the bulletin board completely without gaps and overlaps? Explain or show your reasoning.
Mathematics
2 answers:
quester [9]3 years ago
7 0

Answer:

the aswer is 26

Step-by-step explanation:

Daniel [21]3 years ago
7 0

9514 1404 393

Answer:

  3 inches

Step-by-step explanation:

The dimension of interest is the greatest common factor of 12 and 27.

  12 = 3 · 4

  27 = 3 · 9

The greatest common factor is 3.

Elena needs squares that are 3 inches on each side.

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sergiy2304 [10]

Answer:

x=1, y=7

Step-by-step explanation:

y = -3x + 10 - first equation

y=-3x + 4 - second equation

rearrange the expression to

-3x-y= -10

3x-y= -4

pick an equation and simplify; lets pick the second equation

3x-y= -4

\frac{3x}{3} = \frac{-4+y}{3}  

divide 3 by both sides

x= \frac{-4+y}{3} - third equation

substitute the value of x into an equation; lets pick the first equation

-3x-y= -10

-3(\frac{-4+y}{3})- y = -10

simplify. -3 cancels 3 so we are left with

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simplify

4-y-y= -10

4-2y= -10

subtract 4 from both sides

-2y= -10-4

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divide -2 by both sides

y=7

substitute the value of y, (y=7) in an equation, we are using the second equation

3x-y= -4

3x-7= -4

3x = -4+7

3x= 3

divide 3 by both sides

x=1

so the answer is x=1, y=7

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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