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Aleks04 [339]
3 years ago
5

Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic tit

les. Let x represent the number of contemporary titles and y represent the number of classic titles. The system of equations models the given information for both types of DVDs.
x + y = 3,500

x – y = 2,342

Solve the system of equations. How many contemporary titles does Jarred have?
Mathematics
2 answers:
Mamont248 [21]3 years ago
3 0
Here, x - y = 2342
x = 2342 + y

Substitute this value into first equation, 
2342 + y + y = 3500
2y = 3500 - 2342
y = 1158/2
y = 579

So, x = 2342 + 579 = 2921

In short, Your Answer would be 2921 contemporary titles

Hope this helps!
Alborosie3 years ago
3 0
Well, if x + y = 3500, we can subtract y from both sides to give us x = 3500 - y. We can substitute that into the second equation:
x - y = 2342
(3500-y) -y = 2342
3500 - 2y = 2342
-2y = 2342-3500 = -1158
2y = 1158
y = 579
And substitute y back into the first equation:
x + y = 3500
x + 579 = 3500
x = 3500-579= 2921

So he has 2,921 contemporary titles. You can substituted the values back into the original equations to check them. Make sense?
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Answer:

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Step-by-step explanation:

Previous concepts

The mean absolute deviation or MAD "is the average of the absolute deviations or the positive difference of the given data and that certain value (generally central values)". And is given by this formula:

MAD= \frac{1}{n} \sum_{i=1}^n |x_i -\bar X|

Solution to the problem

Assuming the info from the picture. So then the data is this one:

66,69,70,70,71,72,72,72,73,73,74,75,75,75

So the first step is find the mean for the dataset with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And if we replace the values we got:

\bar X = \frac{66+69+70+70+71+72+72+72+73+73+74+75+75+75&#10;}{14}=71.929

And now we need to subtract for each value the mean like this:

Data      X_i -\bar X

66               5.929

69               2.929

70               1.929

70               1.929

71                0.929

72               0.0714

72               0.0714

72               0.0714

73               1.0714

73               1.0714

74               2.0714

75               3.0714

75               3.0714

75               3.0714

Now we need to add the deviations and divide by the the number of data values and we got:

MAD= \frac{1}{14} 27.286 = 1.949 \approx 2.0

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