It is not a question it’s telling you to do it haha! But just divide the (hours of / days) for example 7/2 and that would be your answer!
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Answer:</h2><h2>c = -24</h2><h2 /><h2>Hope this helps!!</h2>
Answer:
The correct answer is 25.2 in.
Step-by-step explanation:
It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.
2 inches of the ribbon are frayed so actual length = 58 inches
Please refer to the attached image for the ribbon.
A is at 0
C is at 60
B is at 2
P is the point to divide the remaining ribbon in the ratio 2:3.
Part AB of the ribbon is frayed.
BP: PC = 2:3
Let BP = 2
and PC = 3![x](https://tex.z-dn.net/?f=x)
Now, BP + PC = BC = 58 = 2
+ 3
= 5![x](https://tex.z-dn.net/?f=x)
So,
![5x =58\\\Rightarrow x =11.6](https://tex.z-dn.net/?f=5x%20%3D58%5C%5C%5CRightarrow%20x%20%3D11.6)
BP = ![2\times x = 2 \times 11.6 = 23.2\ inches](https://tex.z-dn.net/?f=2%5Ctimes%20x%20%3D%202%20%5Ctimes%2011.6%20%3D%2023.2%5C%20inches)
Location of the Cut = 2 + 23.2 = <em>25.2 inches</em>
<em></em>
Alternatively, we can use the formula directly:
![x = \dfrac{m} {m + n } (x_2 - x_1) + x_1](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7Bm%7D%20%7Bm%20%2B%20n%20%7D%20%28x_2%20-%20x_1%29%20%2B%20x_1)
![x_1 = 2\\x_2 = 60](https://tex.z-dn.net/?f=x_1%20%3D%202%5C%5Cx_2%20%3D%2060)
m: n is the ratio 2:3
![x = \dfrac{2} {2 +3 } (60- 2) + 2\\\Rightarrow 0.4 (58 )+2\\\Rightarrow 23.2+2 \\\Rightarrow \bold{25.2\ inches}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B2%7D%20%7B2%20%2B3%20%7D%20%2860-%202%29%20%2B%202%5C%5C%5CRightarrow%200.4%20%2858%20%29%2B2%5C%5C%5CRightarrow%2023.2%2B2%20%5C%5C%5CRightarrow%20%5Cbold%7B25.2%5C%20inches%7D)
X=1
3+4=7
3x1=3
3+4 =6 so X =1