What are the steps in solving the algibia math question 3m + 2/5 ; m =2/3

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

4. Of 100 students surveyed, 32

Mrac [35]

Answer:

16 students

Step-by-step explanation:

40 kids like only carrots and 40% of a hundred is 40%, so out of the 40 students that will be surveyed only 40% will like only carrots. 40% of 40 is 16

8 0

2 years ago

What is <br> 4^ -3<br> 4^ -2<br><br> 2^ -3 + 3<br> 2^ -2 +3<br> 2^ -1 + 3

Scrat [10]

1/4³ or 1/64
1/4² or 1/16
1/2³ + 3 or 3 1/8 or 3.125
1/2²+3 or 1/4 +3 or 3 1/4 or 3.25
1/2¹ +3 or 3 1/2 or 3.5

6 0

2 years ago

Given the function g(x)=√x+4, which of the following values cannot be the domain of g?

Gennadij [26K]

Answer:

D. x = -5

Step-by-step explanation:

The square root function is only defined for non-negative arguments. For the function ...

$g(x)=\sqrt{x+4}$

this means we must have ...

x +4 ≥ 0

x ≥ -4 . . . . . . subtract 4 from both sides

All of the numbers on your answer choice list are more than -4 except -5.

x = -5 is not in the domain of g(x)

6 0

1 year ago

There are 15 circles and 12 squares. What is the simplest ratio of squares to total shapes?

Viktor [21]

4:5
They both divide by 3 so 12 divided by 3 is 4 and 15 divided by 3 is 5

8 0

3 years ago