Answer: - 8.89%
I am going to explain you in detail ir order to help you to be able to do this kind of problems by yourself.
The definition of percent change, %, is:
change
% = ---------------- * 100
base value
The base value is from where you start or the value for which you want to asses the variation.
So, in this case the base value is 90 (starting value).
The change is final value - initial value = 82 - 90 = - 8. The negative sign means that the value decreased.
So, following the formula you get:
82 - 90 - 8
% = ----------- * 100 = -------- * 100 = - 8.89
90 90
Answer: the percent of change is - 8.89 %, meaning that the value decreased 8.89%.
There are 2,000 fifties in one hundred thousand
I think so 12 to 13 minutes will it take to use all sheets..
Answer:
Coordinates of the midpoint are (-5.5, 5)
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.