Answer:
20n
Step-by-step explanation:
Multiply square feet per person times the number of persons to find square feet.
The units analysis looks like this:

For this case we have the following expression:
![\sqrt [3] {5x-2} - \sqrt [3] {4x} = 0](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B5x-2%7D%20-%20%5Csqrt%20%5B3%5D%20%7B4x%7D%20%3D%200)
If we add to both sides of the equation
we have:
![\sqrt [3] {5x-2} = \sqrt [3] {4x}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B5x-2%7D%20%3D%20%5Csqrt%20%5B3%5D%20%7B4x%7D)
To eliminate the roots we must raise both sides to the cube:
![(\sqrt [3] {5x-2}) ^ 3 = (\sqrt [3] {4x}) ^ 3\\5x-2 = 4x](https://tex.z-dn.net/?f=%28%5Csqrt%20%5B3%5D%20%7B5x-2%7D%29%20%5E%203%20%3D%20%28%5Csqrt%20%5B3%5D%20%7B4x%7D%29%20%5E%203%5C%5C5x-2%20%3D%204x)
So, the correct option is the option c
Answer:
Option C
No need to fear, thehotdogman93 is here!
The first step is to get rid of those very large numbers. It's going to be very difficult to factor unless we can bring those high numbers down. So lets see if we can factor each term.
So after dividing 49 with every single digit. The only number that divides evenly is 7 and one, and 16 isnt divisible evenly by 7 so that didn't work. Looks like we're gonna have to work with these big numbers.
There is something interesting though about these numbers. 16 and 49 are both perfect squares. 16 is the same as 4^2 and 49 is the same as 7^2. So we can factor the whole trinomial as:

If we were to expand this out as:

and multiply it back into the original form. It would match with the expression we started with. The 4's would multiply back into 16x^2 and the 7's would multiply back into 49.
Additionally 4 * -7 is -28, so you can combine two -28x's into the -56x term in the original trinomial.
Thus, the answer is yes you can, and the answer is:

Answer:
320 cups of soup.
Step-by-step explanation:
Given:
A chef planning for a large banquet thinks that 2 out of every 5 dinner guests will order his soup appetizer.
He expects 800 guests at the banquet.
Question asked:
How many cups of soup he should prepare ?
Solution:
Ratio of soup appetizer to the number of guest = 2 : 5
Now, let number of cups of soup prepare for 800 guests = 
Now, as we have to find through <u>equivalent ratios,</u> we can write it as:-
<em>2 : 5 = </em>
<em> : 800</em>

Thus, he should prepare 320 cups of soup for 800 guests.