Answer: Yes it is
Step-by-step explanation:
You can expand 8(4+2y). 8 times 4 is equal to 32, and 8 times 2y is equal to 16y. So it is the same as 32+16y.
Divide the miles he traveled by the time it took him to travel it.
22 1/2 / 1/3
Multiply by the reciprocal of 1/3:
22 1/2 * 3/1
Convert 22 1/2 into an improper fraction:
45/2 * 3/1
Multiply the numerators and denominators together:
135/2
Divide:
67.5 or 67 1/2
So his average speed in miles per hour is 67 1/2.
Answer:
y-3=5/8(x-9)
Step-by-step explanation:
First, we can find the slope using the slope formula : -7-3/-7-9 = -10/-16 = 5/8
Now we can just plug in a point into point slope form
y-3=5/8(x-9)
Since they want the unit of volume to be cm^3, first we have to convert the values given from inch into cm
=> 12 in = 30.48cm
4 in = 10.16cm
14 in = 35.56cm
Since both of the figures are cylinders, we have to find them one by one
Find the volume of the upper cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 30.48cm/2 = 15.24cm
height = 30.48cm
We get V=3*(15.24)^2*30.48=21237.6cm^3
Find the volume of lower cylinder
Formula: V = pi*r^2*h
We know, pi = 3,
radius = diameter of base/2
=> r = 35.56cm/2 = 17.78cm
height = 10.16cm
We get
V = 3*(17.78)^2*10.16 = 9635.6cm^3
Therefore, the volume of the object is
V = 21237.6cm^3 + 9635.6cm^3
= 30873.2cm^3.