Answer:
![y = 2](https://tex.z-dn.net/?f=y%20%3D%202)
Step-by-step explanation:
This answer is easily found using the Pythagorean Theorem:
![{a}^{2} + {b}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%20%7Bc%7D%5E%7B2%7D%20)
where A and B are the legs, and C is the hypotenuse of the triangle.
![{(16)}^{2} + {(6y)}^{2} = {(10y)}^{2} \\ 256 + 36{y}^{2} = 100 {y}^{2} \\ 256 = 64 {y}^{2} \\ \sqrt{256} = \sqrt{64 {y}^{2}} \\ 16 = 8y \\ y = 2](https://tex.z-dn.net/?f=%20%7B%2816%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%286y%29%7D%5E%7B2%7D%20%20%3D%20%20%7B%2810y%29%7D%5E%7B2%7D%20%20%5C%5C%20256%20%2B%20%2036%7By%7D%5E%7B2%7D%20%20%3D%20100%20%7By%7D%5E%7B2%7D%20%20%5C%5C%20256%20%3D%2064%20%7By%7D%5E%7B2%7D%20%20%5C%5C%20%20%5Csqrt%7B256%7D%20%20%3D%20%20%5Csqrt%7B64%20%7By%7D%5E%7B2%7D%7D%20%5C%5C%2016%20%3D%208y%20%5C%5C%20y%20%3D%202)
16% of 231 is 36.80
16% + 84% = 100%
36.80+ 231 = $267.80
Ans = $267.80
Well 3/8 is .375 but times 100 is 37.5%
Then 37.5% of 800 is 300
Answer: He would pay 45% of the original price.
Step-by-step explanation:
Since we have given that
Let the original price of item be 'x'
Rate mark down by 25%
Amount of marked down would be
![\dfrac{25}{100}\times x\\\\=0.25x](https://tex.z-dn.net/?f=%5Cdfrac%7B25%7D%7B100%7D%5Ctimes%20x%5C%5C%5C%5C%3D0.25x)
Amount after marked down becomes
![x-0.25x\\\\=0.75x](https://tex.z-dn.net/?f=x-0.25x%5C%5C%5C%5C%3D0.75x)
Additional clearance items by 40% off
Amount of additional off is given by
![\dfrac{40}{100}\times 0.75x\\\\=0.4\times 0.75x\\\\=0.3x](https://tex.z-dn.net/?f=%5Cdfrac%7B40%7D%7B100%7D%5Ctimes%200.75x%5C%5C%5C%5C%3D0.4%5Ctimes%200.75x%5C%5C%5C%5C%3D0.3x)
After additional off, the amount becomes,
![0.75x-0.3x\\\\=0.45x](https://tex.z-dn.net/?f=0.75x-0.3x%5C%5C%5C%5C%3D0.45x)
Hence, he would pay 45% of the original price.
Answer:
4.6
Step-by-step explanation:
Hello!
To find the average we add all the numbers together and divide by how many numbers we added
6.8 + 5.6 + 3.4 + 2.5 + 4.7 = 23
We added 5 numbers so divide the total by 5
23/5 = 4.6
The answer is 4.6
Hope this helps!