The shortcut is the hypotenuse of a right triangle with legs 6 and 8, so 6²+8²=c²
36+64=c
100=c²
c=10.
so he traveled 6+8+10=24km
Answer:
324 teachers
Step-by-step explanation:
3 teachers of every 50 students
__ teachers of 5400 students
so,
![5400 \div 50 = 108](https://tex.z-dn.net/?f=5400%20%5Cdiv%2050%20%3D%20108)
therefore,
![3 \times 108 = 324](https://tex.z-dn.net/?f=3%20%5Ctimes%20108%20%3D%20324)
Amount of water that the faucet leaks in 1 week = 42 gallons
That means Amount of water that the faucet in Kali's house leaks in 7 days = 42 gallons So The amount of water that the faucet in Kali's house leaks in 1 day = (42/7) gallons = 6 gallons Then The amount of water that the faucet in Kali's house leaks in 3 days = 6 * 3 gallons = 18 gallons
So it can said from the above deduction that the amount of water leaked by the faucet in Kali's house is 18 gallons.
hope this help .-.
5 3/7<span> = 5.428571428571429 or 5.43</span>
![\bold{\text{Answer:}\quad \dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Ctext%7BAnswer%3A%7D%5Cquad%20%5Cdfrac%7B-48x%5E4-42x%5E3-15x%5E2-5x%7D%7B%288x%2B7%29%283x%2B1%29%7D%7D)
<u>Step-by-step explanation:</u>
![.\quad \dfrac{-5x}{8x+7}-\dfrac{6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}+\dfrac{-6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}\bigg(\dfrac{3x+1}{3x+1}\bigg)+\dfrac{-6x^3}{3x+1}\bigg(\dfrac{8x+7}{8x+7}\bigg)\\\\\\=\dfrac{-15x^2-5x}{(8x+7)(3x+1)}+\dfrac{-48x^4-42x^3}{(8x+7)(3x+1)}\\\\\\=\large\boxed{\dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}](https://tex.z-dn.net/?f=.%5Cquad%20%5Cdfrac%7B-5x%7D%7B8x%2B7%7D-%5Cdfrac%7B6x%5E3%7D%7B3x%2B1%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-5x%7D%7B8x%2B7%7D%2B%5Cdfrac%7B-6x%5E3%7D%7B3x%2B1%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-5x%7D%7B8x%2B7%7D%5Cbigg%28%5Cdfrac%7B3x%2B1%7D%7B3x%2B1%7D%5Cbigg%29%2B%5Cdfrac%7B-6x%5E3%7D%7B3x%2B1%7D%5Cbigg%28%5Cdfrac%7B8x%2B7%7D%7B8x%2B7%7D%5Cbigg%29%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-15x%5E2-5x%7D%7B%288x%2B7%29%283x%2B1%29%7D%2B%5Cdfrac%7B-48x%5E4-42x%5E3%7D%7B%288x%2B7%29%283x%2B1%29%7D%5C%5C%5C%5C%5C%5C%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B-48x%5E4-42x%5E3-15x%5E2-5x%7D%7B%288x%2B7%29%283x%2B1%29%7D%7D)