Using the first equation:
4x = y + 3 ---> y = 4x - 3
We then substitute this into the second equation:
7x - 9(4x-3) = -2 ---> 7x - 9x + 27 = -2 ---> -2x = -29 ---> x = 14.5
Answer:
66.67%
Step-by-step explanation:
total matches = 9
matches won = 6
percentage = matches won*100/ total matches
percentage = 600/9
= 66.67%
(f * g)(x) = 4x^2(x + 1)
4x^3 + 4x^2
Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers.
Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)
For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour.
So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added.
Now just divide the size of the vat by that number, and you find your answer.
70 gallons / 3 gallons per hour = 23 1/3 hours.
Step-by-step explanation:
Given figure is of HEXAGON.
the sum of the measures of the interior angles of a hexagon
![= \frac{(6 - 2) \times 180 \degree}{6} \times 6 \\ \\ = {4 \times 30 \degree} \times 6 \\ \\ = 720 \degree](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%286%20-%202%29%20%5Ctimes%20180%20%5Cdegree%7D%7B6%7D%20%20%5Ctimes%206%20%5C%5C%20%20%5C%5C%20%3D%20%20%7B4%20%5Ctimes%2030%20%5Cdegree%7D%20%5Ctimes%206%20%20%5C%5C%20%20%20%5C%5C%20%3D%20720%20%5Cdegree)