Answer:
27 small cubes
Step-by-step explanation:
Given that,
The volume of the large cube is 
The volume of small cube is 
We need to find how many small cubes make up the large cube. Let there are n small cubes. So, it can be calculated as follows :
So, there are 27 small cubes that make up of the large cube.
Answer:
90 hardcover books
Step-by-step explanation:
We can solve this by setting up a couple of equations.
Let's allow x to represent the number of paperbacks Tim owns, and allow y to represent the number of hardcover books he owns.
Using the information in the question, we can write the equations:
1)x = 4y-3
2) x+y=447
Let's rearrange equation 1 so that it is in standard form:
x-4y=-3
And then let's multiply equation 2 by 4 so that we can cancel out y when we solve the system of equations:
4(x+y=447)
4x+4y=1,788
Then we can add the two equations and solve for x:
1) x-4y=-3
+ 2)4x+4y=1,788
------------------------------------
5x=1,785
x=357
So now we now the number of paperback books Tim has is 357. Let's plug this into one of the original equations to solve for the number of hardcover books (y):
357+y=447
y=90
And now we know that Tim owns 90 hardcover books.
Answer:
-0.805 m
Step-by-step explanation:
The x-component of a vector is given by:
where
v is the magnitude of the vector
is the angle of the vector with respect to the positive x-direction
In this problem we have
v = 0.888 m
so we have
The probability can be modeled using the following formula:
wherein X follows the density
Now for k = 3 we get:
The probability we are looking for is 0.15.
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