Step-by-step explanation:
Let p and h represent pay and hours worked respectively,
p = kh
k = p/h = 148.5/18 = 8.25
p= 8.25h
90.75 = 8.25h
h = 11 hours.
Hope it helps! :)
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![2x + 9 = 5x](https://tex.z-dn.net/?f=2x%20%2B%209%20%3D%205x)
![5x = 2x + 9](https://tex.z-dn.net/?f=5x%20%3D%202x%20%2B%209)
Subtract sides 2x
![- 2x + 5x = - 2x + 2x + 9](https://tex.z-dn.net/?f=%20-%202x%20%2B%205x%20%3D%20-%202x%20%20%2B%202x%20%2B%209)
![3x = 9](https://tex.z-dn.net/?f=3x%20%3D%209)
Divide sides by 3
![\frac{3x}{3} = \frac{9}{3} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7B9%7D%7B3%7D%20%20%5C%5C%20)
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
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CHECK :
![2x + 9 = 5x](https://tex.z-dn.net/?f=2x%20%2B%209%20%3D%205x)
![2(3) + 9 = 5(3)](https://tex.z-dn.net/?f=2%283%29%20%2B%209%20%3D%205%283%29)
![6 + 9 = 15](https://tex.z-dn.net/?f=6%20%2B%209%20%3D%2015)
![15 = 15](https://tex.z-dn.net/?f=15%20%3D%2015)
So the value is correct.
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In case A, as the error would be a difference of 1, the assumption could be mantained, but in case B the difference will be bigger, showing that the ratio is not 3:1 but 4:1.
<h3><u>Ratios</u></h3>
Given that a preliminary study was carried out to test the hypothesis that the ratio of white to dark herons on the island was 3:1, but A) a small census found 16 white morphs and 4 dark, to determine if the assumption of a 3 :1 ratio could be rejected, and B) to determine the same question if the census were larger with 160 white morphs and 40 dark, the following calculations must be made:
A)
- 3 + 1 = 4
- 16 + 4 = 20
- 4 = 20
- 3 = X
- 60 / 4 = X
- 15 = X
- Therefore, as the error would be a difference of 1, the assumption could be mantained.
B)
- 3 + 1 = 4
- 160 + 40 = 200
- 150 = 3:1
- In this case, the difference will be bigger, showing that the ratio is not 3:1 but 4:1.
Learn more about ratios in brainly.com/question/1504221
Answer:
Where is it I don't see it?
Step-by-step explanation:
Answer:
the area of the mat = total area added minus the original area of the water color painting.
length of the mat is:
L = 21 in + 3 in + 3 in because 3 in is added to each side
L = 27 inwidth of the mat is:w = 11 in + 3 in + 3 inw = 17in
Area mat = (27 in x 17 in) - ( 21 in x 27 in)
area mat = 108 sq in is the area of the mat