Answer:
x = -31/6 or -5.16
Step-by-step explanation:
3(2x-3) + 49 -2 = 0
Distribute 3 through the parenthesis
3 (2x-3) + 49 - 2 = 0
6x - 9 + 42 - 2 = 0
Calculate the sum or difference
6x - 9 + 42 - 2 = 0
6x + 31 = 0
Move constant to the right side and change its sign
6x + 31 = 0
6x = -31
Divide both sides of the equation by 6
6x = -31
x = -31/6 or -5.16
Answer:
The total number of pages from page X to page Y is Y minus X plus 1.
So from 1 to 9, there are 9 minus 1 is 8 plus 1 is 9.
Step-by-step explanation:
Answer:
x = 9.6
Step-by-step explanation:
Answer:
The height of the cone h = 27(x^4)y
Step-by-step explanation:
Firstly, we calculate the volume of the cylinder.
Mathematically, the volume of the cylinder is pi * r^2 * h
using the radius x and height y
The volume V of the cylinder is ;
V = pi * x^2 * y
Now we know they have the same volume V, the formula for the volume of a cone is ;
1/3 * pi * r^2 * h
Substituting the values of r to be 1/3x and the height which is not given here left as h, we have the volume of the cone to be;
V = 1/3 * pi * (1/3x)^2 * h = pi * x^2 * y
The pi gives way as it cancels out on both sides and we have the following;
h/27x^2 = x^2y
Mathematically h = x^2 * y * 27x^2
h = 27(x^4)y
p.s: I personally feel the radius of the cone was to be given as x/3 and not 1/3x . It is in that way we can have the height of the cone purely in y terms and no x
