<span>20.52 m2 is the answer im pretty sure hope it helps
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<u>Answer-</u>
<em>He purchased a rope of </em><em>48 ft</em><em>.</em>
<u>Solution-</u>
Let us assume the length of the rope he had originally purchased was x ft.
He used one-fourth of the x to make a bow, so the rope he used was
![=\dfrac{x}{4}\ ft](https://tex.z-dn.net/?f=%3D%5Cdfrac%7Bx%7D%7B4%7D%5C%20ft)
The amount he left with was,
![=(x-\dfrac{x}{4})\ ft](https://tex.z-dn.net/?f=%3D%28x-%5Cdfrac%7Bx%7D%7B4%7D%29%5C%20ft)
Then he used one-third of the remaining to tie up a roll of carpet, so the rope he used was
![=(x-\dfrac{x}{4})\dfrac{1}{3}\ ft](https://tex.z-dn.net/?f=%3D%28x-%5Cdfrac%7Bx%7D%7B4%7D%29%5Cdfrac%7B1%7D%7B3%7D%5C%20ft)
Then he left with 24 ft of rope.
∵ The total amount = Amount used + Amount left
Hence,
![\Rightarrow \dfrac{x}{4}+(x-\dfrac{x}{4})\dfrac{1}{3}+24=x](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7Bx%7D%7B4%7D%2B%28x-%5Cdfrac%7Bx%7D%7B4%7D%29%5Cdfrac%7B1%7D%7B3%7D%2B24%3Dx)
![\Rightarrow \dfrac{x}{4}+\dfrac{x}{3}-\dfrac{x}{12}+24=x](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7Bx%7D%7B4%7D%2B%5Cdfrac%7Bx%7D%7B3%7D-%5Cdfrac%7Bx%7D%7B12%7D%2B24%3Dx)
![\Rightarrow \dfrac{x}{4}+\dfrac{x}{3}-\dfrac{x}{12}-x=-24](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7Bx%7D%7B4%7D%2B%5Cdfrac%7Bx%7D%7B3%7D-%5Cdfrac%7Bx%7D%7B12%7D-x%3D-24)
![\Rightarrow \dfrac{3x+4x-x-12x}{12}=-24](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B3x%2B4x-x-12x%7D%7B12%7D%3D-24)
![\Rightarrow \dfrac{-6}{12}x=-24](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B-6%7D%7B12%7Dx%3D-24)
![\Rightarrow \dfrac{1}{2}x=24](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B1%7D%7B2%7Dx%3D24)
![\Rightarrow x=24\times 2=48](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D24%5Ctimes%202%3D48)
Therefore, he purchased a rope of 48 ft.
Omg, idk how to solve this I’m sorry, but I will try to
To solve these, basically find out how many numbers satisfy your requirment, then divide that number by 10. Simplify your fraction and you have your probability.
probability of getting a 10: 1/10
probability of getting a 5: 1/10
probability of not getting 10: 9/10
probability of getting an odd number: 5/10
probability of getting a number less than 4: 3/10
probability of getting a number greater than 7: 3/10
Hope this helps, and muchas luck on your math!
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Step-by-step explanation: