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.
Answer:
The reason is CPCTC.
Step-by-step explanation:
Hope it helps you!
They will need 4 packages for 28 Children if only 8 Pencils come in a package.
Answer:
Step-by-step explanation:
Formula
a^2 + b^2 = c^2
Givens
a = x
b = 20.2
c = 14.7 + x
Solution
x^2 + 20.2^2 = (14.7 + x)^2 Expand the brackets
x^2 + 408.04 = 14.7^2 + 29.4x + x^2 Cancel the x^2
408.04 = 216.9 + 29.4x Subtract 216.9 from both sides.
191.98 = 29.4x Divide by 29.4
6.52993 = x Answer.
6.5 to the nearest tenth.
Answer:
125 cm
Step-by-step explanation:
<u>Ratio of pieces of the rod:</u>
<u>In total, the rod is equal to:</u>
<u>Since the shortest peace:</u>
<u>Length of the rod:</u>
- 10x = 5* 2x = 5* 25 cm = 125 cm