B:
Explanation that equation is the B
The volume 
of a cone with base radius 
and height 
is
Similarly, the volume 
of a sphere with radius 
is
We know that 
and that 
So, we can set up the following equation:
We can simplify the common denominator 3, and pi appearing on both sides:
We can divide both sides by 4:
Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.
Answer:
Given that Amadahy has a $ 20 bill, and wants to buy a card and two gifts for her friend, and knowing that each card costs $ 3.49 and each gift costs $ 10.63, the total cost of the 3 items would be $ 24.75 (10.63 x 2 + 3.49 ).
Therefore, she will not be able to purchase the products she wants, since she will need $ 4.75 to reach the amount necessary for it (24.75 - 20).
Answer:
the base is 7 units and the height is 3 units
Answer:
(1,1) is a solution of the system.
Step-by-step explanation:
Let's solve the system.
y = 2x - 1
5x - 4y = 1
In the first equation, y is already separated as a function of x. So we replace in the second equation;
5x - 4(2x - 1) = 1
5x - 8x + 4 = 1
4 - 1 = 8x - 5x
x = 1
y = 2x - 1 = 2(1) - 1 = 1
(1,1) is a solution of the system.
