Answer:
l x - 9 l ≤ 0.3y
Step-by-step explanation:
Let x is the length of the pipe
Let y is the length of the diameter
Given that:
- A pipe is to be cut to a length of 9 accurate, we have : x - 9
- Within three tenths of its diameter : 0.3 y
So we have the inequality that model this situation is:
l x - 9 l ≤ 0.3y
Hope it will find you well.
Answer:
gcf is ![3m^2n](https://tex.z-dn.net/?f=3m%5E2n)
Step-by-step explanation:
we are given
and ![81m^2n^2](https://tex.z-dn.net/?f=81m%5E2n%5E2)
Firstly, we will find factors of both expression
![48m^5n=2\times 2\times2\times 2\times 3\times m^2\times m^3\times n](https://tex.z-dn.net/?f=48m%5E5n%3D2%5Ctimes%202%5Ctimes2%5Ctimes%202%5Ctimes%203%5Ctimes%20m%5E2%5Ctimes%20m%5E3%5Ctimes%20n)
![81m^2n^2=3\times 3\times 3\times 3\times m^2\times n\times n](https://tex.z-dn.net/?f=81m%5E2n%5E2%3D3%5Ctimes%203%5Ctimes%203%5Ctimes%203%5Ctimes%20m%5E2%5Ctimes%20n%5Ctimes%20n)
now, we will find common factors among them
we can see that
For finding gcf, we always find common factors
so,
common terms are 3,m^2 and n
so, gcf is
![=3\times m^2\times n](https://tex.z-dn.net/?f=%3D3%5Ctimes%20m%5E2%5Ctimes%20n)
![=3m^2n](https://tex.z-dn.net/?f=%3D3m%5E2n)
Answer:
-16,-6,4,14,24
Step-by-step explanation:
First thing first, we need to alter this equation is y is the value we are fining. we can do this by adding 10x to both sides. our new equation is
y=10x+4
Now, all we have to do is plug in out x values in order to get our y values and complete the table.
Example, 10x2 is 20 and 20+4 is 24 so when x is 2, y is 24
X= total acres on farm
x * 21%= 168
move decimal 2 places to the left to go from percent to decimal form
x * 0.21= 168
divide both sides by 0.21
x= 800 acres
ANSWER: There are a total of 800 acres on the farm
Hope this helps! :)