4. 0.76
5. 0.18
8. 4.48
9. 0.08
12. 3.08
13. 0.45
:)
12x4 48
9x6 54
48x54 2592 is the total area
False---> opinion
(Hope it helps)
Answer:
See Explanation
Step-by-step explanation:
Required
Complete the blanks
Step 1: The unknowns
![x = the\ number](https://tex.z-dn.net/?f=x%20%3D%20the%5C%20number)
![3x = the\ other\ number](https://tex.z-dn.net/?f=3x%20%3D%20the%5C%20other%5C%20number)
Step 2: Sum of Reciprocals
The implies that both numbers be inversed, then added together.
i.e.
![\frac{1}{x} + \frac{1}{3x} = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%2B%20%5Cfrac%7B1%7D%7B3x%7D%20%3D%204)
Step 3: Solve for x
![\frac{1}{x} + \frac{1}{3x} = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%2B%20%5Cfrac%7B1%7D%7B3x%7D%20%3D%204)
<em>Factorize</em>
![\frac{1}{x}(1 + \frac{1}{3}) = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%281%20%2B%20%5Cfrac%7B1%7D%7B3%7D%29%20%3D%204)
![\frac{1}{x}(\frac{3 + 1}{3}) = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%28%5Cfrac%7B3%20%2B%201%7D%7B3%7D%29%20%3D%204)
![\frac{1}{x}(\frac{4}{3}) = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%28%5Cfrac%7B4%7D%7B3%7D%29%20%3D%204)
![\frac{4}{3x} = 4](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3x%7D%20%3D%204)
Cross multiply
![4 = 3x * 4](https://tex.z-dn.net/?f=4%20%3D%203x%20%2A%204)
![4 = 12x](https://tex.z-dn.net/?f=4%20%3D%2012x)
Solve for x
![x = \frac{4}{12}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B4%7D%7B12%7D)
![x = \frac{1}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
Step 4; Verify
![\frac{1}{x} + \frac{1}{3x} = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D%20%2B%20%5Cfrac%7B1%7D%7B3x%7D%20%3D%204)
Substitute ![x = \frac{1}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
![\frac{1}{1/3} + \frac{1}{3*1/3} = 4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B1%2F3%7D%20%2B%20%5Cfrac%7B1%7D%7B3%2A1%2F3%7D%20%3D%204)
![3 + \frac{1}{1} = 4](https://tex.z-dn.net/?f=3%20%2B%20%5Cfrac%7B1%7D%7B1%7D%20%3D%204)
![3 + 1 = 4](https://tex.z-dn.net/?f=3%20%2B%201%20%3D%204)
Answer:
no
Step-by-step explanation:
they only marked it up 25%