For this case we have the following expression:
We multiply both sides by: 
We divide both sides by 216:
To divide powers of the same base, we place the same base and subtract the exponents:
Rewriting:
To multiply powers of the same base, we place the same base and add the exponents:
We know that any number raised to zero is 1, 
So, for equality to be true:
Answer:
A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
Answer:312
Step-by-step explanation: multiply 6*4*13
3a) 3:1 or 3/1
3b) 3:4 or 3/4
4) 125 pages a day
5) 10 skittle per ounce in a bag
6) Market: $23.60/5= $4.72*7= $33.04, Orchard: $32.76/7= $4.68*5= $23.40, Which? Orchard because it is cheaper to buy 7 there than to buy 7 at market place because it is $00.30 cents cheaper at Orchard
7) Because money is always on top of time, amount, weight, etc.
8 x 100 = 800
5 x 10= 50
1x1= 1
6 x 0.10= 0.6
4 x 0.01 = 0.04
= 851.64
