Answer:
D
Step-by-step explanation:
Probability of falling NOT in the shaded region is "area of white region" <em>divided by</em> "area of whole rectangle (big one)".
<u>Area of whole rectangle:</u>
Area of rectangle = length * width = 10 * 5 = 50
<u>Area of White Region:</u>
First, area of shaded region = length * width = 4 * 2 = 8
Now,
Area of white region = area of whole rectangle - area of shaded rectangle
Area of white region = 50 - 8 = 42
Hence, probability is 
0.84 = 84%
Answer choice D is right.
Answer:
The greatest common factor of this would be 3x^2y
Step-by-step explanation:
In order to find this, first find the greatest common factor of the coefficients. Since 3 goes in evenly to both 15 and -18, then we know that it is a common factor.
From there we need to find the number of x's. Since the first term only has 2 x's and the second has 3, we take the lowest number. (x^2)
And since the first term has 3 y's and the second has just 1, we take the lowest number (y).
Answer:
(5,3)
Step-by-step explanation:
x=17-4y
x=17-4x+8
x=25-4x
5x=25
x=5
y=x-2
y=5-2
y=3
(5,3)
Answer:
7 years (This answer is to the nearest year)
Step-by-step explanation:
The way you could work this out is by trial and error. 11 % a year means that its population increases by 4400 annually. 40,000 X 1.11^1 gives you the amount it would be after one year (44000). I got the 1.11 because of the percentage (0.11) plus the amount you need to do percentage increase (1). Then all you do is keep on going up till you hit the number you need (80,000) after about 7 years the total would have hit 80,000 and would have actually went past it (83046)
First, you should solve both equations for the same variable. Since the first one is already solved for y, solve the second equation for y as well.
6y = 2x + 6 Divide both sides by 6
y =
x + 1
You can see that both lines have a slope of
.
Lines that have the same slope are
parallel lines.
