3 pen + 2 pencil = .47
2 pen + 3 pencil = .38
2(3pen + 2 pencil = .47)
-3(2pen + 3 pencil = .38)
6 pen + 4 pencil = .94
-6 pen - 9 pencil = -1.14
- 5 pencil = -.2
pencil = .04
3pen + 2(.04) = .47
3pen + .08 = .47
3 pen + .08 - .08 = .47 -.08
3 pen = .39
pen = .13
Pen = 13 cents and pencil = 4 cents
I believe you are expected to simplify. To do this all you do is group like terms (x, x², x³ etc.) and then simplify the coefficients.
13. 10z + 7z - 19z² - 5z² - 17z
first you can rearrange and group like terms (remember the bring the sign in front of each term with it). I would do it like this:
-19z² - 5z² +10z + 7z - 17z
Now simplify the coefficients:
-24z² + 0z
you can omit the 0z and your simplified answer is
-24z²
Main thing to remember here is that z and z² cannot be simplified together, nor can any variable that has an exponent because the exponent makes them differ.
Option D:
Surface area of the cylinder = 753.6 cm²
Solution:
<u>To find the surface area of the cylinder:</u>
Given data:
Radius of the cylinder = 6 cm
Height of the cylinder = 14 cm
The value of π = 3.14
Surface area of the cylinder = 
= 226.08 + 527.52
= 753.6 cm²
Surface area of the cylinder = 753.6 cm²
Option D is the correct answer.
Before sales tax he would have to pay $40 * (1 - 0.25) + $100 * (1 - 0.35) = $30 + $65 = $95.
With a 6% sales tax he'd have to pay 1.06 * $95 = $100.70.
i hope this helps! :D
