Answer:
75
Step-by-step explanation:
If there is 6 even numbers and 6 odd numbers, then the spinner would land on an even number half the time. Half of 150 is 75 so the answer is 75.
To find the point of intersection, we want to set the two equations equal to each other to find where they meet. The problem is, we have two variables, which means we can't just set them equal to each other as is. We need to manipulate the equations so that we can remove one of the variables at a time to solve for the other one.
First, let's move y to one side so we can solve for x.
2x-3y=9
2x-9=3y
y=(2x-9)/3
5x+4y=11
4y=11-5x
y=(11-5x)/4
Now that they both equal the same thing (y), we can set them equal to each other and solve for x. This will give us the x value for the point of intersection of the lines.
(11-5x)/4=(2x-9)/3
3(11-5x)=4(2x-9)
33-15x=8x-36
33+36=8x+15x
69=23x
x=69/23
x=3
Now, we can do the opposite, and solve for x to find the y coordinate.
2x-3y=9
2x=3y+9
x=(3y+9)/2
5x+4y=11
5x=11-4y
x=(11-4y)/5
(3y+9)/2=(11-4y)/5
5(3y+9)=2(11-4y)
15y+45=22-8y
15y+8y=22-45
23y= -23
y= -1
The coordinates for the point of intersection of the two lines is (3, -1).
Answer:
5.732484076 =r
Step-by-step explanation:
The circumference is 36 ft
We know the circumference is given by
C = 2 * pi *r
36 = 2 * pi *r
Divide each side by 2 pi
36/ 2pi = 2 *pi*r/2*pi
18/pi = r
Letting pi be approximated by 3.14
18/3.14 =r
5.732484076 =r
Answer: (26p)^(1/2)
Idk which letter that is
