The rate of the machine is 10 boxes per min.
Step-by-step explanation:
Given,
A machine can make 150 boxes in 15 min
To find the rate of the machine
Meaning to find the number of boxes machine it can make in 1 min
We will apply unitary method.
In 15 min it makes 150 boxes
In 1 min it makes (150÷15) boxes = 10 boxes
Hence the rate is 10 boxes per min.
The volume of a sphere is given by the equation

, where r is the radius.
We are given the diameter of the sphere, but recall that the diameter is twice the radius:

. So the radius is half of the diameter:

.
Half of 8 cm is 4 cm.
We substitute this for r in the equation and we use 3.14 for <span>π.</span>
R is (-3,8)
to get from p’ to q’, you subtract 7 from the x’ value, and add 5 to the y’ value. so you do the same to get from q’ to r’
Step-by-step explanation:
The perimeter of a polygon is the sum of all of the polygon's sides. Here, a rectangle has 4 sides:
Perimeter of Rectangle
= 2 + (4x - 3) + 2 + (4x - 3)
= (8x - 2)cm.