For this case we have the following equation:
![9 (w + 7) = 27](https://tex.z-dn.net/?f=9%20%28w%20%2B%207%29%20%3D%2027)
To solve we follow the steps below:
We apply Distributive Property to the terms of parentheses:
![9w + 63 = 27](https://tex.z-dn.net/?f=9w%20%2B%2063%20%3D%2027)
We apply Subtraction Property of equality by subtracting 63 from both sides of the equation:
![9w + 63-63 = 27-63\\9w = -36](https://tex.z-dn.net/?f=9w%20%2B%2063-63%20%3D%2027-63%5C%5C9w%20%3D%20-36)
We apply Division Property of equality by dividing by 9 on both sides of the equation:
![\frac {9w} {9} = \frac {-36} {9}](https://tex.z-dn.net/?f=%5Cfrac%20%7B9w%7D%20%7B9%7D%20%3D%20%5Cfrac%20%7B-36%7D%20%7B9%7D)
simplifiying
w = -4
Answer:
![w = -4](https://tex.z-dn.net/?f=w%20%3D%20-4)
Answer:
1) The number of vegetable plot Filipe has = 9 vegetable plots
2) A number line with 1/12 divisions will give the number of 1/12 acre vegetable plots as the number of divisions between 0 and 3/4
Step-by-step explanation:
1) The total size of the land Filipe has = 3/4 acre
The size of the vegetable plots to which he separates the land = 1/12 acre
The number of vegetable plot Filipe has = (The total size of the land Filipe has)/(The size of the vegetable plots to which he separates the land )
∴ The number of vegetable plot Filipe has = (3/4)/(1/12) = 9
The number of vegetable plot Filipe has = 9 vegetable plots
2) The number line can be used to model the situation by having the number line that has divisions of 1/12 unit and counting the number of 1/12 divisions between the zero (0) mark and the three quarter (3/4) mark