<h2>
Greetings!</h2>
Answer:
40% reduction
Step-by-step explanation:
To answert this, we need to find how much of the price is each percentage. This can be found my subtracting the percent from 100:
Sale price: 100 - 20 = 80
Last day price: 100 - 25 = 75
Now we need to multiply these two values together, remembering to divide both numbers by 100 first:
80 ÷ 100 = 0.8
75 ÷ 100 = 0.75
0.8 * 0.75 = 0.6
Then multiply by 100 to find the percentage:
0.6 * 100 = 60
60% is the end price, but to find the overall reduction we need to subtract this value from 100:
100 - 60 = 40
So there was a 40% reduction on the price.
<h2>Hope this helps!</h2>
Answer:
<em>The polygon area is </em>
<em />
Step-by-step explanation:
Points:
(2,7), (8,2), (6,11), (6,5), (11,6)
1. The area of the polygon could be calculate with the eqation:
![A=\frac{1}{2}\left[\begin{array}{ccc}x_{1} &y_{1}\\x_{2} &y_{2}\\x_{3} &y_{3}\\x_{4} &y_{4}\\x_{5} &y_{5}\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx_%7B1%7D%20%26y_%7B1%7D%5C%5Cx_%7B2%7D%20%26y_%7B2%7D%5C%5Cx_%7B3%7D%20%26y_%7B3%7D%5C%5Cx_%7B4%7D%20%26y_%7B4%7D%5C%5Cx_%7B5%7D%20%26y_%7B5%7D%5Cend%7Barray%7D%5Cright%5D)
2. Replace the coordinates in equation for A:
![A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%267%7D%5C%5C8%262%5C%5C6%2611%5C%5C6%265%5C%5C11%266%5Cend%7Barray%7D%5Cright%5D)
3. Solve the determinant, and calculate A:
![A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]\\A=\frac{1}{2}[(6)(7)+(11)(11)+(8)(6)+(6)(2)]-[(2)(11)+(6)(6)+(11)(2)+(8)(5)]\\A=\frac{1}{2}[42+121+48+12]-[22+36+22+40]\\A=\frac{1}{2}[223]-[120]\\\\A=\frac{1}{2}[103]=51,5 U^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%267%7D%5C%5C8%262%5C%5C6%2611%5C%5C6%265%5C%5C11%266%5Cend%7Barray%7D%5Cright%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B%286%29%287%29%2B%2811%29%2811%29%2B%288%29%286%29%2B%286%29%282%29%5D-%5B%282%29%2811%29%2B%286%29%286%29%2B%2811%29%282%29%2B%288%29%285%29%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B42%2B121%2B48%2B12%5D-%5B22%2B36%2B22%2B40%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B223%5D-%5B120%5D%5C%5C%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B103%5D%3D51%2C5%20U%5E%7B2%7D)
<em>The polygon area is </em><em />
The equation for this problem can be written as 18x=162. X would represent the number of games bought. You do the inverse operation of multiplying by 18 to both sides and you get the answer as x=9. 9 is the number of games bought with 162 dollars.
