6. A circle with the equation x² + y² = 16 is graphed in the standard (x,y) coordinate plane. At what points does the circle intersect the x-axis?
F. (−2,0) and (2,0)
G. (−4,0) and (4,0)
H. (−8,0) and (8,0)
J. (−16,0) and (16,0)
K. (−32,0) and (32,0)
7. JoAnna drives a route that is exactly 450 miles from Little Rock, Arkansas, to Mobile, Alabama. JoAnna has already driven 180 miles at an average speed of 60 miles per hour. What is the minimum average speed, in miles per hour, that JoAnna can drive for the remainder of the route and have a driving time of 9 hours for the entire trip?
A. 45
B. 50
C. 55
D. 60
E. Cannot be determined from the given information
8. What is the least positive number that has a remainder of 3 when divided by 5 and a remainder of 4 when divided by 6 ?
F. 18
G. 23
H. 28
J. 30
K. 39
Use the following information to answer questions 9-11.
Yesterday, there was no snow on the ground at 8:00 a.m. when snow began to fall. Snow fell from 8:00 a.m. to 8:00 p.m. at a constant rate of 3/4 inch per hour. Kate built a snowman made of 2 spherical snowballs, with the smaller placed on top of the larger. When she built the snowman, the diameter of the larger snowball was 3 times the diameter of the smaller snowball. Today, the day after she built the snowman, there is a 50% chance of rain. If it rains today, then there is a 60% chance that the snowman will melt. If it does not rain today, then there is a 10% chance the snowman will melt.
9. Kate could not build the snowman until there was 6 inches of snow on the ground. At how many hours after 8:00 a.m. yesterday was there exactly 6 inches of snow on the ground?
A. 0.75
B. 4.5
C. 6
D. 6.75
E. 8
10. When Kate built the snowman, the circumference of the larger snowball was 36π inches. When Kate built the snowman, what was the diameter, in inches, of the smaller snowball?
F. 4
G. 6
H. 12
J. 54
K. 108
11. What is the probability that the snowman will melt today?
A. 30%
B. 35%
C. 50%
D. 60%
E. 70%