I believe the answer might be:
x = 28/19
Steps:
Expand
3(5 - x)/2 - 4(3 + 2x)/5
-3x + 15 - 8x + 12
------------ -----------
2 5
Find the LCD for the equation above:
(15-3x) * 5 - (12+8x) * 2
------------- --------------
10 10
Now we combine them since the denominators are equal:
5(-3+15) - 2(8x+12)
--------------------------
10
We expand above:
-31x+51
-----------
10
You would divide 377 by 2
which would be 188.5
1 pint = 473.176 milliliters
62 x 473.176 = 215336.912 milliliters in a pony keg
215336.912/400 = 538.34 glasses
round off answer to 538 glasses
Original price of the item = $14.95
Price after discount = $13.79
Discount offered = original price - price after discount = 14.95- 13.79 = $1.16
Now let us find the percentage of discount offered.
Percentage discount is given by the formula:
![Percentage discount = \frac{MP-SP}{MP}*100](https://tex.z-dn.net/?f=%20Percentage%20discount%20%3D%20%5Cfrac%7BMP-SP%7D%7BMP%7D%2A100%20%20)
Where MP= Marked price= original price
SP= selling price= price after discount
![Percentage discount = \frac{1.16}{14.95}*100](https://tex.z-dn.net/?f=%20Percentage%20discount%20%3D%20%5Cfrac%7B1.16%7D%7B14.95%7D%2A100%20%20)
Percentage discount = 7.759 %
Answer:
Check the explanation
Step-by-step explanation:
Following table shows the calculations:
Delta, X Southwest , Y X^2 Y^2 XY
45.96 38.76 2112.3216 1502.3376 1781.4096
46.8 45.41 2190.24 2062.0681 2125.188
47.93 15.7 2297.2849 246.49 752.501
51.78 49.58 2681.1684 2458.1764 2567.2524
52.17 44.34 2721.7089 1966.0356 2313.2178
47.36 18 2242.9696 324 852.48
Total 292 211.79 14245.6934 8559.1077 10392.0488
Sample size: n =6
Now
![S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27](https://tex.z-dn.net/?f=S_%7Byy%7D%3D%5Csum%20y%5E%7B2%7D-%5Cfrac%7B%5Cleft%20%28%5Csum%20y%20%5Cright%20%29%5E%7B2%7D%7D%7Bn%7D%3D1083.27)
![S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03](https://tex.z-dn.net/?f=S_%7Bxx%7D%3D%5Csum%20x%5E%7B2%7D-%5Cfrac%7B%5Cleft%20%28%5Csum%20x%20%5Cright%20%29%5E%7B2%7D%7D%7Bn%7D%3D35.03)
![S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94](https://tex.z-dn.net/?f=S_%7Bxy%7D%3D%5Csum%20xy-%5Cfrac%7B%5Cleft%20%28%5Csum%20x%20%5Cright%20%29%5Cleft%20%28%5Csum%20y%20%5Cright%20%29%7D%7Bn%7D%3D84.94)
The coefficient of correlation is :
![r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436](https://tex.z-dn.net/?f=r%3D%5Cfrac%7BS_%7Bxy%7D%7D%7B%5Csqrt%7BS_%7Bxx%7DS_%7Byy%7D%7D%7D%3D0.436)