3x − y = 9
y = −2x + 11
3x − (−2x + 11) = 9
3x + 2x - 11 = 9
5x = 9 + 11
5x = 20
x = 4
y = −2x + 11 = -2*4+11 = 3
<span>(4, 3)</span>
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.
Answer:
48 people
Step-by-step explanation:
The amount of money we have is 500
We have to pay 15 for insurance and 10 per person
500 =15+10p where p is the number of people
Subtract 15 from each side
500-15=15-15+10p
485 = 10p
Divide by 10
485/10 = 10p/10
48.5 = p
We can have 48 since we cannot have part of a person
Step-by-step explanation:
y = 9x - 70 ...1
y = 2x - 32 ...2
...1 - ...2
0 = 7x -38 ...3
7x - 38 = 0
7x = 38
x = 38/7
