Answer:
V=282.74in^3
Step-by-step explanation:
Volume of cylinder
V= TTr^2h
Where
TT=3.14
r=3
h=10in
V=3.14*3^2*10= 282.743in^3
ANSWER

EXPLANATION
If the two events are disjoint, then they are mutually exclusive.
This means that their intersection is zero.
Therefore

This implies that,


The probability that the two events will occur together is 0, which means an impossibility.
The surface area of any object is the sum of the areas of all the faces. In this case, we have a rectangular prism with dimensions 8x4x3 and a trianglar prism with a 8x4 rectangular base and height of 6.
Let's start with the rectangular prism. We have the bottom which is 8x4, two sides that are 3x4, and two sides that are 8x3.
8*4 + 2*3*4 + 2*8*3 = 104 in^2
Now that's find the surface area of the trianglar prism. We have the rectangular side on top which is 10x4, the rectangular side on the right which is 6x4, and two triangles that are 8 long and 6 high.
10*4 + 6*4 + 2*0.5*8*6 = 112 in^2
The total surface area is 104 + 112 = 216 in^2
Answer:
All the expressions other than option E, is equivalent to the expression 18m - 12.
Step-by-step explanation:
A. 6m - 4 + 6m -4 + 6m - 4
or 6m+6m+6m -4 -4 -4
or 18m -12
B. 12m + 6 - 6m -6
or 12m - 6m + 6 - 6
or 6m
C.6(3m - 2)
or 18m - 12
D.3(6m - 4)
or 18m - 12
E. 24n - 4² + 8 -6m
This option can not satisfy the given expression as it contains another variable as n.
Answer:

Step-by-step explanation:
Let
denotes number of pencils, markers, erasers respectively.
For Andrea:

For Justin:

For Virginia:

On subtracting equations (i) and (ii), we get

Put
in equation (i)

Put
in equation (iii)

Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.

Put
in equation 

Put
in equation (i)
