Answer:
262.44 cubic metres.
Step-by-step explanation:
First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.
pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.
Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.
137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.
Hope this helps!
Answer
12 (5 - 3)
Step-by-step explanation:
The greatest common factor is the largest number that will divide both numbers evenly. As an example, 6 is a common factor because it divides both 60 and 36. However, it is not the greatest common factor.
If I break 60 into it's prime factors, I would get 2 * 2 * 3 * 5.
If I break 36 into it's prime factors, I would get 2 * 2 * 3 * 3.
The two number have the factors, 2, 2, and 3 in common.
The greatest common factor is then: 2 * 2 * 3, or 12.
The expression can be factored as: 12 ( 5 - 3)
Answer:
80 movies must be streamed.
Step-by-step explanation:
To find the average cost, you must divide the total cost by the number of movies watched.
When you watch 1 movie, you pay the initial fee of $80 plus a $4 purchase of the film.
The equation is shown as such:
average cost = (total cost)/(number of movies)
Your total cost can be represented as 
, while the number of movies is represented as 
.
You want the average to equal 5, so your equation is shown as follows:
simplifying this, we get
which can then be simplified to
X = 80 movies.
You would add 4.40 to 55.50 to get 59.90. because the sales tax is 8% which is 0.08 cents and multiply that by 55 to get 4.40
