Given set S = <span>{A, B, C, D, E, F, G, H}
There are 8 elements in set S and we are to choose 3 letters at random, the number of ways to choose such is x. It is simply similar to choosing 5 letters at random, which is also equal to x. Since order doesn't matter, n! / (n-m)! where n = 8 and m = 3, which is 336 ways. </span>
Answer:
The amount of peanuts to use is 5 pounds and that of cashews is 30 pounds.
Step-by-step explanation:
Let the amount of peanut to use to be x
Let the amount of cashews to use to be 35-x
Form equations to compare amounts for individual foods and the mixture
![8x+15(35-x)=35(14)\\\\8x+525-15x=490\\\\7x=35\\\\x=5\\\\](https://tex.z-dn.net/?f=8x%2B15%2835-x%29%3D35%2814%29%5C%5C%5C%5C8x%2B525-15x%3D490%5C%5C%5C%5C7x%3D35%5C%5C%5C%5Cx%3D5%5C%5C%5C%5C)
So the pounds to be used for peanuts is 5 pounds
The pounds to be used for cashews will be 35-x= 35-5=30 pounds
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Mixtures : brainly.com/question/11497620
Keywords : Mixture
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Well lets remember that a square has four sides that are all equal.
So if we know one side, we know them all!
And perimeter is all of the sides added up.
Well.. 4 sides that are all 9 meters long? here's the math!
9 + 9 + 9 + 9 = 36
Your coffee shop is 36 meters long
Good Luck! :)
Answer:
(-5,-14)
Step-by-step explanation:
To find the solution of the system of two equations
![\left\{\begin{array}{l}y=4x+6\\y=2x-4\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dy%3D4x%2B6%5C%5Cy%3D2x-4%5Cend%7Barray%7D%5Cright.)
equate right sides of these two equations:
![4x+6=2x-4](https://tex.z-dn.net/?f=4x%2B6%3D2x-4)
Rewrite terms with x into the left side and without x into the right side:
![4x-2x=-4-6\\ \\2x=-10\ [\text{divide by 2}]\\ \\x=-5](https://tex.z-dn.net/?f=4x-2x%3D-4-6%5C%5C%20%5C%5C2x%3D-10%5C%20%5B%5Ctext%7Bdivide%20by%202%7D%5D%5C%5C%20%5C%5Cx%3D-5)
Substitute x=-5 into the first equation:
![y=4\cdot (-5)+6=-20+6=-14](https://tex.z-dn.net/?f=y%3D4%5Ccdot%20%28-5%29%2B6%3D-20%2B6%3D-14)
The solution is (-5,-14)