Answer:
27 inches
Step-by-step explanation:
the formula for the circumference is 2 × pi × r
so: 2 × pi × r = 84.78
so 84.78/2pi = r
r = 13.5
we want the diameter which is 2 x r
so the diameter is 27
First, it have to change them so that they have common denominators. You would change the denominators to 6.
Your new fractions are:
4 2/6, 3 3/6, 3 5/6, 4 1/6.
Now you add them all together. When you add all of them, you end up with: 14 11/6. You would have to change this to 15 5/6.
Therefore, his average distance was 15 5/6 ( I think? ).
The answer is x=25! I hope this helps!
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).
The number is 21. First you should divide 96 by 8 to find the 'product' that it talks about. That number is 12. So the product of 8 and 12 is 96. But, then you have to find the difference between a number and nine that makes 12. Easy! Just add 9 and 12, and you get 21 as your answer!
