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3 years ago

15

These four numbers are plotted on a number line: -2/3, 5/8, -3/5, and -1/2. Which is the correct ordering on the number line fro

m left to right?
A. -1/2, -3/5, 5/8, -2/3
B. -3/5, -2/3, -1/2, 5/8
C. -2/3, -3/5, -1/2, 5/8
D. -1/2, -3/5, -2/3, 5/8

1 answer:

stiks02 [169]3 years ago

5 0

Answer:

-2/3 ; - 3/5 ; - 1/2 ; 5/8

Step-by-step explanation:

Given that:

We could convert the numbers to decimal to obtain a better view of the values :

-2/3 = - 0.66666

5/8 = 0.625

-3/5 = - 0.6

-1 /2 = - 0.5

Negative values are always arranged first on left of a number line.

-0.66666 < - 0.6 < - 0.5 <0.625

Hence,

-2/3 ; - 3/5 ; - 1/2 ; 5/8

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<u>the question in English is</u>

THE SQUARE PERIMETER X IS TWO THIRDS OF THE SQUARE PERIMETER Y. THE PERIMETER OF THE SQUARE Y IS TWO THIRDS OF THE PERIMETER OF THE SQUARE Z. THE AREA OF THE SQUARE X IS 16 CM2 WHAT IS THE AREA OF THE SQUARE Z?

Let

Px--------> the perimeter of square x

Py--------> the perimeter of square y

Pz--------> the perimeter of square z

Ax--------> the area of square x

Az--------> the area of square z

Step 1

<u>Find the length side of the square x</u>

we know that

$Px=\frac{2}{3} Py$ -------> equation A

$Py=\frac{2}{3} Pz$ -------> equation B

$Ax=16\ cm^{2}$

$Ax=x^{2}$

so

$x^{2}=16$

$x=4\ cm$

Step 2

<u>Find the perimeter of square x</u>

$Px=4x$

substitute the value of x in the formula

$Px=4*4=16\ cm$

Step 3

<u>Find the perimeter of square y</u>

use the equation A

$Px=\frac{2}{3} Py$

solve for Py

$Py=\frac{3}{2} Px$

substitute the value of Px

$Py=\frac{3}{2}16=24\ cm$

Step 4

Find the perimeter of square z

use the equation B

$Py=\frac{2}{3} Pz$

solve for Pz

$Pz=\frac{3}{2} Py$

substitute the value of Py

$Pz=\frac{3}{2} 24=36\ cm$

Step 5

<u>Find the area of square z </u>

we know that

the area of the square z is equal to

$Az=z^{2}$

<u>Find the length side of square z</u>

$Pz=4z$

$Pz=36\ cm$

so

$4z=36$

$z=9\ cm$

substitute the value of z in the area's formula

$Az=9^{2}=81\ cm^{2}$

therefore

<u>the answer is</u>

the area of the square z is $81\ cm^{2}$

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