What is equivalent to 5x+2y=12
2 answers:
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There are 7,315 different combinations, thus, the correct option is c
<h3>How many combinations are there?</h3>
If we have a set of N elements, the number of different combinations of K elements (such that K ≤ N) of these N elements that we can make is:
In this case we have K = 4 and N = 22, replacing that, we get:
So there are 7,315 different combinations, thus, the correct option is c.
If you want to learn more about combinations:
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Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture
and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.
Since, fluid ounces of each concentration should be combined to make 25 fl oz.
So, a+b=25 (Equation 1)
And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.
So, a of 2% + b of 5% = 3.2% of 25
Multiplying the above equation by 100, we get
(Equation 2)
Substituting the value of a=25-b in equation 2, we get
Since, a=25-b
a= 25-10
a=15.
So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.
Answer:
I attached the image that has all of the elements. If I missed something, please let me know and I will fix it.
