Answer:
Expand the 21(2-x)=42-21x
then you add 12 x with 42-21x
making it 42-9x=44
hence,
-9x= 2
9x= -2
x= - 2/9
hope this helps. :)
The wall can be built in 22 days by 6 workers in first 6 days and 9 workers in the rest of time.
<h3>How to use inverse proportionality to determine building time of a wall</h3>
In this question we must use the definition of <em>inverse</em> proportionality, in which the number of workers (
), no unit, is inversely proportional to the <em>building</em> time (
), in days.
According to the statement, 6 workers spent 6 days building a wall and there are 24 days left for completion, but 3 more workers entered to reduce building time, which can be represented by the following expression:
![x = 24\,days \times \frac{6}{9}](https://tex.z-dn.net/?f=x%20%3D%2024%5C%2Cdays%20%5Ctimes%20%20%5Cfrac%7B6%7D%7B9%7D)
![x = 16\,days](https://tex.z-dn.net/?f=x%20%3D%2016%5C%2Cdays)
In this scenario, the wall can be built in 22 days. ![\blacksquare](https://tex.z-dn.net/?f=%5Cblacksquare)
To learn more on inverse proportionality, we kindly invite to check this verified question: brainly.com/question/4838941
<u>Answer</u>
See below
Step-by-step explanation:
The given line has equation
![5x - 2y = - 6](https://tex.z-dn.net/?f=5x%20-%202y%20%3D%20%20-%206)
The slope intercept form is
![y = \frac{5}{2} x + 3](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B5%7D%7B2%7D%20x%20%2B%203)
The slope of this line is
![m = \frac{5}{2}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7B5%7D%7B2%7D%20)
The line perpendicular to this line has slope
![- \frac{2}{5}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B2%7D%7B5%7D%20)
If this line passes through (5,-4), the point-slope form is
![y + 4 = - \frac{2}{5} (x - 5)](https://tex.z-dn.net/?f=y%20%2B%204%20%3D%20%20-%20%20%5Cfrac%7B2%7D%7B5%7D%20%28x%20%20-%205%29)
The slope-intercept form is
![y = - \frac{2}{5} x- 2](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B2%7D%7B5%7D%20x-%202)
The standard form is
2x+5y=-10
Answer:
3/5 probability. hope this helps
Step-by-step explanation:
Answer:
52.4
Step-by-step explanation:
% change = 100 x final initial/initial