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Step-by-step explanation:
![( {x}^{2} + 3) - [3x + (8 - {x}^{2} )] \\ = {x}^{2} +3 - [3x + 8 - {x}^{2} ] \\ = {x}^{2} + 3 - 3x - 8 + {x}^{2} \\ = 2 {x}^{2} - 3x - 5](https://tex.z-dn.net/?f=%28%20%7Bx%7D%5E%7B2%7D%20%20%2B%203%29%20-%20%5B3x%20%2B%20%288%20-%20%20%7Bx%7D%5E%7B2%7D%20%29%5D%20%5C%5C%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B3%20-%20%20%5B3x%20%2B%208%20-%20%20%7Bx%7D%5E%7B2%7D%20%5D%20%5C%5C%20%20%3D%20%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%203%20-%203x%20-%208%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%202%20%7Bx%7D%5E%7B2%7D%20%20-%203x%20-%205)
For this case, the total amount invested is:
investment = 3500 + 1000 = 4500
We must take out the percentage of what X invested.
X investment = (3500/4500) * 100 = 77.78%.
Therefore, X gets 77.78% of the profits:
X profit = 0.7778 * 3000 = 2333.33 $
answer
if the profits are distributed in proportion to the amount invested X receives 2333.33 $
Okay, here we have this:
Considering the provided information, we are going to identify wich equation applies, so we obtain the following:
Where x represents the uknown number. Then finally we obtain that the correct equation is the third one.
Now, let's find the missing number solving the equation:
Finally we obtain that the number is equal to 19.
The area of a triangle can be calculated through the equation,
A = bh / 2
where A is area, b is base, and h is height.
Substituting the known values from the given above to the equation
A = (14 in)(6 in) / 2 = 42 in²
Since, there are five of these triangles, the total area is,
total area = 5(42 in²) = 210 in²
Thus, the total area of the plywood needed is 210 in².
