Answer:
The greatest number of arrangements that he can make if every balloon is used is 8.
Step-by-step explanation:
The greatest number of arrangements will be the greatest common factor between 24 and 32.
GCF of 24 and 32:
We keep factoring both numbers by prime factors, while they can both be divided by the same number. So
24 - 32|2
12 - 16|2
6 - 8|2
3 - 4
There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.
This means that the greatest number of arrangements that he can make if every balloon is used is 8.
The answer to the system of equation is (2,0)
6x - 3y = 12 --->> 3y = 6x - 12 -->> y = 2 x -4
y = 2x - 4
y = x - 2
In this case we subtract y = x - 2 from y = 2x - 4
So, it would be
y = 2x - 4
-(y = x - 2) --->> -y = -x +2
y = 2x - 4
-y = -x + 2
---------------
0 = x - 2
Now we add 2 to both sides to isolate x
So, x = 2
Now we replace x for two in both equations.
6(2) - 3y = 12
12 - 3y = 12 (I'm distributing)
-3y = 0
3y = 0
y = 0
Now the other equation
y = 2 -2
y = 0
So, the answer is (2,0)
I hope this helps.
YOU'RE WELCOME :D
Answer:
-3/2 = f
Step-by-step explanation:
f(-1) =2x+2
-1f=2x+2
-1f-2=2x
-3=2x
-3/2=x
5678(1+(0.045×6))
5678=P as it is the principal amount