Answer:
The graph below shows the answer to
2x - 3y < 12
Also shown as
-3y < -2x + 12
Step-by-step explanation:
You can rearrange the inequality by subtracting 2x from both sides to isolate the y.
You now have -3y < 12 -2x
which can be put into the standard linear equation form of
-3y < -2x + 12
Then you divide both sides by -3 to get singular value of y, which is something like
-3/-3y < -2/-3x + 12/-3
which is
y > 2/3x -4
Note: I switched direction of the inequality because you are dividing both sides by a negative value.
Answer:
(a) 720 ways
(b) 120 ways
(c) 24 ways
Step-by-step explanation:
Given
![Word = DANCER](https://tex.z-dn.net/?f=Word%20%3D%20DANCER)
--- number of letters
Solving (a): Number of arrangements.
We have:
![n =6](https://tex.z-dn.net/?f=n%20%3D6)
So, the number of arrangements is calculated as:
![Total =n!](https://tex.z-dn.net/?f=Total%20%3Dn%21)
This gives:
![Total =6!](https://tex.z-dn.net/?f=Total%20%3D6%21)
This gives:
![Total =6*5*4*3*2*1](https://tex.z-dn.net/?f=Total%20%3D6%2A5%2A4%2A3%2A2%2A1)
![Total =720](https://tex.z-dn.net/?f=Total%20%3D720)
Solving (b): DA as a unit
DA as a unit implies that, we have:
[DA] N C E R
So, we have:
![n = 5](https://tex.z-dn.net/?f=n%20%3D%205)
So, the number of arrangements is calculated as:
![Total =n!](https://tex.z-dn.net/?f=Total%20%3Dn%21)
This gives:
![Total =5!](https://tex.z-dn.net/?f=Total%20%3D5%21)
This gives:
![Total =5*4*3*2*1](https://tex.z-dn.net/?f=Total%20%3D5%2A4%2A3%2A2%2A1)
![Total =120](https://tex.z-dn.net/?f=Total%20%3D120)
Solving (c): NCE as a unit
NCE as a unit implies that, we have:
D A [NCE] R
So, we have:
![n = 4](https://tex.z-dn.net/?f=n%20%3D%204)
So, the number of arrangements is calculated as:
![Total =n!](https://tex.z-dn.net/?f=Total%20%3Dn%21)
This gives:
![Total =4!](https://tex.z-dn.net/?f=Total%20%3D4%21)
This gives:
![Total =4*3*2*1](https://tex.z-dn.net/?f=Total%20%3D4%2A3%2A2%2A1)
![Total =24](https://tex.z-dn.net/?f=Total%20%3D24)
Answer:
42
Step-by-step explanation:
for one cup 28/12
for 18 cup,
(28/12)×18
=42
Sides FH and HJ are not congruent
Answer:
The circumference and area of a circle with a 17 ft diameter are:
C = 53.4 ft
A = 227 ft2