Answer:
See explanation
Step-by-step explanation:
The equation of the shpere canterd at point 
with radius 
is
The center of the sphere is (2,-9,1), the radius is 2, then the equation is
Now, find the intersection of this sphere with the plane z=2. Substitute 2 instead of z into the sphere equation:
This is the equation of the circle lying in the plane z=2 with center at (2,-9,2) and radius 
Answer:
13
Step-by-step explanation:
390 divided by 30 equals 13
Answer:
Equations:
y + 10x = 23
y + 15x = 33
cost of basket with 25 apples = $53
Step-by-step explanation:
A basket with 10 apples cost $23 and a basket with 15 apples cost $33. Note that these costs also include the cost of the basket, which is same in both case. Let the cost of empty basket with "y" and cost of each apple be "x"
Cost of basket and 10 apples is $23. We can transform this statement into an equation as:
y + 10x = 23 Equation 1
Similarly,
Cost of basket and 15 apples is $33. This gives us another equation:
y + 15x = 33 Equation 2
Subtracting Equation 1 from Equation 2 , we get:
y + 15x - (y +10x) = 33 - 23
5x = 10
x = 2
Using the value of x in equation 1, we get:
y + 10(2)= 23
y = 23 - 20
y = 3
This means, cost of basket is $3 and cost of each apple is $2.
Now we can calculate the cost of basket with 25 apples, which will be:
Cost of basket + Cost of 25 apples = Total Cost
3 + 25(2) = 3 + 50 = $53
2/4 is equivalent to 6/12 which is less than 7/12
