1. it says no more than 5 so that includes 5, so there are 5/8 probability
2.since this spinner stops on an even number (8) that means half are even and half are odd so 4/8, but you can reduce that to 1/2
3.since it says less than 3 there are only two so that ends up being 2/8 or 1/4 probability
1)
a) Draw the axis:x-axis is horizontal, y-axis is vertical
b) draw a point on any part of the plane (use color to highlight it)
c) draw a second point on a different part of the plane (again use color)
d) draw the straight line that passes through the two points (use a ruler).
That is it.
2)
a) Draw the axis: x-axis is horizontal and y-axis is vertical
b) Draw a stright line (use a ruler)
c) Draw a second straight line (use a ruler) which is not parallel to the first line. Extend the second line intil it intersects (and passes) the first line. The lines can only intersect in one point (if the lines are parallel they will not intersect each other).
First, I would write the problem vertically because it just helps me better.
7x+2y=10
-7x+1y=-16
Then, I would add downwards.
7x+2y=10
+ -7x+1y=-16
-------------------
0x+3y=-6
Now, divide 3 from both sides.
3y=-6
--- ---
3 3
y=-2
Now, plug in -2 for y in any equation to get x.
7x+2(-2)=10
Combine like terms
7x-4=10
Add 4 to both sides
7x-4=10
+4 +4
-------------
7x=14
Divide each side by 7.
7x=14
---- ---
7 7
x=2
So your solution is
(2,-2)
To check the solution, plug in the x and y values in both equations.
7(2)+2(-2)=10
14-4=10
10=10
-7(2)-2=(-16)
-14-2=-16
-16=-16
Therefore, the solution works.
<u>You must always plug in the x and y values into both equations to check the solution because sometimes the solution will work for one and not the other.</u>
The solution must work to both equations in other for it to be right.