I believe the answer is n= -2
Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Answer:
(2, -2)
Step-by-step explanation:
Given the equation
x - y = 4 ... 1
6x+y = 10 ...2
Add both expressions
x+6x = 4 + 10
7x = 14
x = 14/7
x = 2
Substitute x = 2 into equation 1;
From 1;
x - y = 4
2 - y = 4
y = 2-4
y = -2
Hence the solution to the system of equation is (2, -2)
An equivalent ratio would be 7:10 or 70:100 or 42:60 and so on...
