WILL MARK BRAINLIEST

which statement best explains why the sum of the areas of the two white squares in figure 2 is the same as the area of why squar

Stella [2.4K]

Answer:

"In each figure the total area is equal and the area of the 4 triangles is equal, so the remaining white area in each figure must also be equal."

Step-by-step explanation:

Both figures make up congruent squares, and they are made up of 4 congruent triangles, so the white area in between must be equal between the two figures

3 0

3 years ago

What is the value of the expression?<br> 8 1/2-2+4 3/4

kodGreya [7K]

11 1/4 or 11.25 is the answer

7 0

3 years ago

The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a

liubo4ka [24]

Answer:

$(x,y,z)=(1477, 1464, 1437)$

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
Mr.A earns Rs6000

So, the equation would be

$3x + 5y - 4z = 6000$

Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
Mr B neither lose nor gain meaning he has made 0₹

hence,

$2x - 3y + z = 0$

Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
Mr.C earns 13000₹

therefore,

$- x + 4y + 6z = 13000$

Thus our system of equations is

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

Now solve the equation accordingly:

$\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}$

Solving the equation for x and y yields:

$\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}$

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

$\implies z= \dfrac{217000}{151}$

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0

2 years ago

What is the length of cloth needed to make 24 shirts if each shirt is made from .75 yards of material?

RideAnS [48]

Answer:

18 yards of material needed to make 24 shirts

Step-by-step explanation:

The unit rate is

1 shirt

------------------------------ = 1 1/3 shirts per yard of material = 4/3 shirt/yard

0.75 yards material

This rate could also be written as 3/4 yard per shirt

Multiply this latter rate by 24 shirts:

3 yard

-------------- * 24 shirts = 18 yards of material needed to make 24 shirts

4 shirt

4 0

2 years ago

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Which of the following ordered pairs could be placed in the table and still have the relation qualify as a linear function? (4 p

Lerok [7]

Answer:

(2, 7)

Step-by-step explanation:

7 0

2 years ago

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