(5,2)(10,4)
slope = (4 - 2) / (10 - 5) = 2/5
The answer to this problem is x> -64
Answer:
w = 12
Step-by-step explanation:
We are given the equation:
![\displaystyle{\dfrac{w-2}{4} = \dfrac{2w+1}{10}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cdfrac%7Bw-2%7D%7B4%7D%20%3D%20%5Cdfrac%7B2w%2B1%7D%7B10%7D%7D)
First, clear out the denominators by multiplying both sides by LCM. In this scenario, our LCM is 40. Thus, multiply both sides by 40:
![\displaystyle{\dfrac{w-2}{4} \cdot 40= \dfrac{2w+1}{10} \cdot 40}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cdfrac%7Bw-2%7D%7B4%7D%20%5Ccdot%2040%3D%20%5Cdfrac%7B2w%2B1%7D%7B10%7D%20%5Ccdot%2040%7D)
Simplify the expressions/equations:
![\displaystyle{(w-2)\cdot 10= (2w+1)\cdot 4}\\\\\displaystyle{10w-20= 8w+4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%28w-2%29%5Ccdot%2010%3D%20%282w%2B1%29%5Ccdot%204%7D%5C%5C%5C%5C%5Cdisplaystyle%7B10w-20%3D%208w%2B4%7D)
Isolate w-variable:
![\displaystyle{10w-20= 8w+4}\\\\\displaystyle{10w-8w=4+20}\\\\\displaystyle{2w=24}\\\\\displaystyle{w=12}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B10w-20%3D%208w%2B4%7D%5C%5C%5C%5C%5Cdisplaystyle%7B10w-8w%3D4%2B20%7D%5C%5C%5C%5C%5Cdisplaystyle%7B2w%3D24%7D%5C%5C%5C%5C%5Cdisplaystyle%7Bw%3D12%7D)
Hence, the solution is w = 12
If you have any questions regarding my answer or explanation, do not hesitate to ask away in comment!
Answer: this is a INVERSE choice C
1.) You have 12 toppings. You choose one topping--that leaves you with 11 toppings. You choose another--that leaves 10. 12×11×10 = 1,320.
Multiply 1,320 topping choices by 6 cheeses to get 7,920 total combinations.
2.) (Though I'm less sure of these)
CDs: 6×5×4×3×2 = 720
Cassettes: 5×4 = 20
DVDs: 8×7×6×5 = 1680