We have to calculate the volume of the right rectangular prism.
lenght=4 1/2 in=(4+1/2) in=9/2 in
width=5 in
height=3 3/4 in=(3+3/4) in=15/4 in
Volume (right rectangular prism = lenght x width x height.
volume=9/2 in * 5 in * 15/4 in=675/8 in³
we calculate the volume of this little cube.
volume=side³
volume=(1/4 in )³=1/64 in³
Now, we calculate the number of small cubes are needed to fit the right rectangular pris by the rule of three.
1 small cube----------------1/64 in³
x---------------------------------675/8 in³
x=(1 small cube * 675/8 in³) / 1/64 in³=5400 small cubes.
Answer: we need 5400 small cubes to fit the right rectangular prism.
To find equivalent fractions, multiply the numerator<span> AND denominator by the same nonzero whole number. This procedure is used to solve example 4. You can multiply the </span>numerator<span> and the denominator of a fraction by any nonzero whole number, as long as you multiply both by the same whole number! Hope this helped! :)</span>
***NOTE: Please check that you wrote the numbers in the question/answer choices correctly. The answer to this problem doesn't match the answer choice. Thank you!
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
First let's find the slope (m)
The formula to find slope using two points is
In this case...
^^^Plug these numbers into the formula for slope...

-2
^^^This is your slope
Here is what we have so far for the slope intercept formula:
y = -2x + b
Now we must find b
To do that you must plug in a point the line goes through in the x and y of the equation, then solve for b
For this explanation we will use the point (0,4) although you could also do it with point (3, -2) and you should get the same answer
4 = -2(0) + b
4 = 0 + b
4 = b
NOTE: For this particular problem you wouldn't technically need to go through the steps above to find b. In this case one of the points given, (0, 4) is already the y-intercept of the line (b)
y = -2x + 4
Hope this helped!
~Just a girl in love with Shawn Mendes
The x-intercept is where the y is zero. So, we have just enough info :) Simply plug in 0 for y in order to find x.
4x + 0 = 3
x = 3/4
so the x intercept is (3/4, 0)
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