The answer is B. If you put the information given into a proportion, you will find that Anthony worked for 7.5 hours. When the problem says that his hourly rate is proportional to Carla's, it means that he gets the same amount of money per hour as she does.
For the GCF, you want to perform the title backwards.
Write Factors of the numbers, find the Common ones and then the Greatest of those.
*It is good to write the factors in pairs to ensure none are left out
18
1, 18, 2, 9, 3, 6
27
1, 27, 3, 9
36
1, 36, 2, 18, 3, 12, 4, 9, 6
The factors common in all are 1, 3, & 9
Now, from these numbers, select the greatest - 9
Answer:
![\dfrac{x}{4}-\dfrac{7}{12}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B4%7D-%5Cdfrac%7B7%7D%7B12%7D)
Step-by-step explanation:
The fraction is the equivalent of ...
![\dfrac{1}{12}{(3x-7)](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B12%7D%7B%283x-7%29)
and the distributive property applies.
![=\dfrac{1}{12}(3x)-\dfrac{1}{12}(7)\\\\=\dfrac{3\cdot x}{3\cdot 4}-\dfrac{7}{12}\\\\=\dfrac{x}{4}-\dfrac{7}{12}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B12%7D%283x%29-%5Cdfrac%7B1%7D%7B12%7D%287%29%5C%5C%5C%5C%3D%5Cdfrac%7B3%5Ccdot%20x%7D%7B3%5Ccdot%204%7D-%5Cdfrac%7B7%7D%7B12%7D%5C%5C%5C%5C%3D%5Cdfrac%7Bx%7D%7B4%7D-%5Cdfrac%7B7%7D%7B12%7D)
Answer:
ADB=50°
Step-by-step explanation:
Angles subtended by the same segment are equal
we have
----> inequality A
![-4\leq 3x-1 \\-4+1 \leq 3x\\-3 \leq 3x\\-1\leq x\\ x\geq-1](https://tex.z-dn.net/?f=-4%5Cleq%203x-1%20%5C%5C-4%2B1%20%5Cleq%203x%5C%5C-3%20%5Cleq%203x%5C%5C-1%5Cleq%20x%5C%5C%20x%5Cgeq-1)
The solution of the inequality A is the interval ------> [-1,∞)
-------> inequality B
![2x \leq 18-4](https://tex.z-dn.net/?f=2x%20%5Cleq%2018-4)
![x \leq 14/2](https://tex.z-dn.net/?f=x%20%5Cleq%2014%2F2)
![x \leq 7](https://tex.z-dn.net/?f=x%20%5Cleq%207)
The solution of the inequality B is the interval ------> (-∞,7]
The solution of the compound inequality is
[-1,∞) ∩ (-∞,7]=[-1,7]
therefore
the answer in the attached figure