4,7,2,x,2,9,6: the median is 5
1 answer:
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Answer:
Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.
Step-by-step explanation:
Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables <em>a, b</em>, and <em>c</em>, respectively.
Since a total of 14 cups of coffee was served:
A total of 204 ounces of coffee was served. Therefore:
A total of $16.70 was collected. Hence:
This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.
From the first equation, let's subtract <em>a</em> and <em>b</em> from both sides:
Substitute this into both the second and third equations:
And:
In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:
For the Second Equation:
And for the Third:
We can solve this using substitution. From the second equation, isolate <em>a: </em>
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Substitute into the third:
Distribute and simplify:
Therefore:
Using the equation for <em>a: </em>
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And using the equation for <em>c: </em>
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Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.
Answer:
See below
Step-by-step explanation:
16 + (18 + 10) = (x + 18) + 10x
16 + 28 = (x + 18) + 10x Add like terms in the parentheses
44 = (x + 10x) + 18 Use the community property to regroup like
terms
44 = 11x + 18 Simply
<u>-18 = -18</u> Substract 18 from both side
26 = 11x Simply
<u>26</u> = <u>11x</u> Divide by 11
11 11
Reduce
Answer: x = (-3,3), y = (-5,5)
Step-by-step explanation:
Add both of the equations together, for . Now we can divide both sides by 3, getting
. we subtract the first equation from our equation we just got, getting
y= (5,-5). once we plug that in, we get
,
x = (-3,3)