Answer:
The ball holds 113.0 cubic inches of air
Step-by-step explanation:
Firstly we need to know the shape of the ball
A ball is spherical in shape
So to know the number of cubic inches, we have to find the volume of air in the ball
Mathematically, we can do this by finding the volume of the ball using the formula for the volume of a sphere
The formula for the volume of a sphere is ;
V = 4/3 * pi * r^3
in this case, r = d/2 = 6 /2 = 3 inches
where r is the radius of the ball and d is the diameter of the ball
So, substituting these values , we have
V = 4/3 * 3.14 * 3^3 = 113.0 cubic inches
(3x − 5) − (4x + 6)
Pretend that there is a 1 in front of the first bracket.
Pretend that there is a -1 in front of the second bracket.
Multiply the first bracket by 1
(1)(3x)=3x, (1)(-5)=-5
Multiply the second bracket by -1
(-1)(4)=-4, (-1)(6)=-6
3x-5-4x-6
3x-4x-5-6 ( combine like terms)
-x-11
Answer: -x-11 or -11-x
No because it is not within the shaded area
Answer:
you have $180, total there is $1280
Step-by-step explanation:
6(4x + 2) = 3(8x + 4)
Reorder the terms:
6(2 + 4x) = 3(8x + 4)
(2 * 6 + 4x * 6) = 3(8x + 4)
(12 + 24x) = 3(8x + 4)
Reorder the terms:
12 + 24x = 3(4 + 8x)
12 + 24x = (4 * 3 + 8x * 3)
12 + 24x = (12 + 24x)
Add '-12' to each side of the equation.
12 + -12 + 24x = 12 + -12 + 24x
Combine like terms: 12 + -12 = 0
0 + 24x = 12 + -12 + 24x
24x = 12 + -12 + 24x
Combine like terms: 12 + -12 = 0
24x = 0 + 24x
24x = 24x
Add '-24x' to each side of the equation.
24x + -24x = 24x + -24x
Combine like terms: 24x + -24x = 0
0 = 24x + -24x
Combine like terms: 24x + -24x = 0
0 = 0
Solving
0 = 0
