This is what I would do. First, I'll square each of the answer choices provided:
![{9}^{2} = 81 \\ {8}^{2} = 64 \\ {7}^{2} = 49 \\ {6}^{2} = 36](https://tex.z-dn.net/?f=%20%7B9%7D%5E%7B2%7D%20%3D%2081%20%5C%5C%20%7B8%7D%5E%7B2%7D%20%3D%2064%20%5C%5C%20%7B7%7D%5E%7B2%7D%20%3D%2049%20%5C%5C%20%7B6%7D%5E%7B2%7D%20%3D%2036)
The value 52 lies between 64 and 49, which means that the square root of 52 lies between 8 and 7. The number 49 is closer to 52 compared to 64 thus the square root of 52 would be closer to 7 than 8. The answer is C. 7.
Hope this helps!
type cos(155) into a calculator
cos(155)= -0.906307787...
35 is best estimate hope this helps
Answer:
The black-and white printer print can print 15 pages per minute.
Step-by-step explanation:
The given modeled equations are
3b + 5c = 70...(i)
6b + 9c = 135...(ii)
where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer.
From equation (i), we have
![3b=70-5c \\\\\Rightarrow b = \frac {70-5c}{3} \cdots(iii)](https://tex.z-dn.net/?f=3b%3D70-5c%20%5C%5C%5C%5C%5CRightarrow%20b%20%3D%20%5Cfrac%20%7B70-5c%7D%7B3%7D%20%5Ccdots%28iii%29)
Now, substitute the value of b in equation (ii), we have
![6\times \frac {70-5c}{3}+9c=135 \\\\\Rightarrow 2(70-5c)+9c=135 \\\\\Rightarrow 140 - 10c+9c=135 \\\\\Rightarrow -c=135-140=-5 \\\\\Rightarrow c=5x^{2}](https://tex.z-dn.net/?f=6%5Ctimes%20%5Cfrac%20%7B70-5c%7D%7B3%7D%2B9c%3D135%20%5C%5C%5C%5C%5CRightarrow%202%2870-5c%29%2B9c%3D135%20%5C%5C%5C%5C%5CRightarrow%20140%20-%2010c%2B9c%3D135%20%5C%5C%5C%5C%5CRightarrow%20-c%3D135-140%3D-5%20%5C%5C%5C%5C%5CRightarrow%20c%3D5x%5E%7B2%7D)
By using equation (iii), we have
![b = \frac {70-5\times5}{3}=\frac{45}{3}=15](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%20%7B70-5%5Ctimes5%7D%7B3%7D%3D%5Cfrac%7B45%7D%7B3%7D%3D15)
Hence, the black-and white printer print can print 15 pages per minute.