A + B + C = 476
A = 3B + 6
C = B + 45
now its just a matter of subbing..
A + B + C = 476
(3B + 6) + B + (B + 45) = 476...combine like terms
5B + 51 = 476
5B = 476 - 51
5B = 425
B = 425/5
B = 85 <== team B scored 85
A = 3B + 6
A = 3(85) + 6
A = 255 + 6
A = 261 <=== team A scored 261
C = B + 45
C = 85 + 45
C = 130 <=== team C scored 130
Answer:
21/20
Step-by-step explanation:
a) One hour is equivalent to 60 minutes.
So we can multiply 50 minutes by the fraction
, so we could convert 50 minutes to hours.
It is:

If we simplify the fraction, we have:

b) In order to express the turtle's speed in miles per hour, we have to divide
by 
So:

We simplify the expression by multiplying 7 mile by 6 and 8 by 5 hours:

Answer:
Option 1:(x-4)^2+y^2=100
Step-by-step explanation:
Given center = (h,k) = (4,0)
The point (-2,8) lies on circle which means the distance between the point and center will be equal to the radius.
So,
The distance formula will be used:

Hence radius is 10.
The standard form of equation of circle is:
(x-h)^2+(y-k)^2 = r^2
Putting the values
(x-4)^2+(y-0)^2=10^2
(x-4)^2+y^2=100
Hence option 1 is correct ..
First, determine the center of the circle by getting the midpoint of the points given for the circumference.
midpoint = ((0 + 0)/2, (3 + -4)/2)
midpoint (0, -0.5)
Then, we get the radius by determining the distance from either of the circumferential point to the center.
radius = √(0 - 0)² + (3 +4)² = 7
The equation for the circle would be,
x² + (y + 0.5)² = 7²