Answer:
Step-by-step explanation:
Consider the selling of the units positive earning and the purchasing of the units negative earning.
<h3>Case-1:</h3>
- 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
<h3>Case-2:</h3>
- 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,
<h3>Case-3:</h3>
- Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
- Mr.C earns 13000₹
therefore,
Thus our system of equations is
<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:
Now solve the equation accordingly:
Solving the equation for x and y yields:
plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,
Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437
Answer:
4 × 10¹⁰ > 2 × 10⁵
Step-by-step explanation:
Given that,
Two numbers in scientific notation.
First number: 4 × 10¹⁰
Second number: 2 × 10⁵
To compare scientific notation number.
First check the exponent of 10
If exponent is larger then number becomes larger.
First number exponent is 10 and second number exponent if 5
10 > 5
Therefore,
4 × 10¹⁰ > 2 × 10⁵
Answer:
Total number of people in the concert
= 186
Step-by-step explanation:
There are 80 people in level 2
Then in level one
The dimensions of the room are 62 feet by 31 feet.
15 people fit in a 3 feet by 6 feet space.
Area of the room= 62*31= 1922 feet²
area of 15 people space= 3*6= 18 feet²
To know how many 15 people we get in the 2nd level
=Area of room/area of 15 people space
= 1922/18
= 106.77
= 106 (we round down because this is human being.)
Total number of people in the concert
= 106+80
= 186
Step-by-step explanation:
To find coordinates, we need the equation of the line segment with restrictions. I think you meant to say “line segment” as lines go infinitely in 2 directions and could not be broken up into ratios. Let’s say your segment is 24 feet long. You could then label AB as 5x and BC as x since that is a ratio of 5:1 …………We’d then have an equation
5x + x = 24 … or 6x = 24…..or x = 4 which would make AB = 20 and BC = 4…but this would not give us coordinates of points.
