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astraxan [27]
3 years ago
12

Which equation represents the relationship between the side length, x, and the perimeter, y? y = one-fourth x y = 4x y = x + 13.

5 y = x – 13.5
Mathematics
1 answer:
elixir [45]3 years ago
4 0

Answer: B.

Y = 4x

Step-by-step explanation:

Given that the side of a shape is x

The perimeter of the shape is y

Perimeter of a rectangle can be expressed as:

P = 2L + 2W

Where L = length and W = width

But if the shape is a square, and the side of the shape is x, then, the perimeter will be

P = 4x

Where perimeter P = Y

Therefore, perimeter Y will be;

Y = 4x

Therefore, the correct answer is B which is:

Y = 4x

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140 divided by 14 is 10. So x is 10. And Y is 140. 140 divided by y (1) =140
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Answer:   10/36

Step-by-step explanation:

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5m - 4n, when m=5 and n = 3.
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Write the decimal in fractional notation: 0.097 A 97/1000 B 97/10,000 C 970 /1000 D 97/10
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3 0
3 years ago
Three consecutive odd integers have a sum of 27. Find the integers.
jek_recluse [69]

\sf \bf {\boxed {\mathbb {GIVEN:}}}

Sum of three consecutive odd integers = 27

\sf \bf {\boxed {\mathbb {TO\:FIND:}}}

The values of the three integers.

\sf \bf {\boxed {\mathbb {SOLUTION:}}}

\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}

\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}

Let us assume the three consecutive odd integers to be x, (x+2) and (x+4).

As per the condition, we have

Sum \:  \:  of \:  \:  the  \:  \: three \:  \:  consecutive \:  \:  odd \:  \:  integers  = 27

➺ \: x + (x + 2) + (x + 4) = 27

➺ \: x + x + 2 + x + 4 = 27

Now, collect the like terms.

➺ \: (x + x + x) + (2 + 4) = 27

➺ \: 3x + 6 = 27

➺ \: 3x = 27 - 6

➺ \: 3x = 21

➺ \: x =  \frac{21}{3} \\

➺ \: x = 7

Therefore, the three consecutive odd integers whose sum is 27 are \boxed{  7  }, \boxed{ 9   } and \boxed{ 11   } respectively.

\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}

⇢ 7 + 9 + 11 = 27

⇢ 27 = 27

⇢ L. H. S. = R. H. S.

\sf\blue{Hence\:verified.}

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}

4 0
3 years ago
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