Answer:C(x) = 2000+ 0.05 x
Step-by-step explanation: Cost (C) = fixed cost + (cost per pencil x number of pencils)
Since:
Fixed cost: $2000
Cost per pencil : $0.05
Replacing with the values given:
C(x) = 2000+ 0.05 x
Where x is the number of pencils manufactured.
Feel free to ask for more if needed or if you did not understand something.
Https://www.khanacademy.org/math/basic-geo/basic-geo-volume-surface-area/basic-geo-volumes/v/volume-....
use V=TT r2 h/3
Hi there! Marcie made a mistake in the last step of the solving process.
Let's solve this problem step by step!
−2(x − 5) − 12 ≤ 4 + 6(x + 3)
First work out the parenthesis, which can for instance be done using rainbow method.
−2x + 10 − 12 ≤ 4 + 6x + 18
The parenthesis are worked out correctly. Remember that multiplying a negative by a negative gives you a positive.
Now we can collect the terms.
−2x − 2 ≤ 6x + 22
The terms are collected correctly.
Next up is subtracting 6x from both sides and adding 2 to both sides of the inequality.
−8x ≤ 24
This step is also correct.
Finally we must divide both sides of the inequality by -8 to find our answer. Be aware of the fact that the sign flips when dividing by a negative!
x ≤ −3
Mistake! Marcie forgot to flip the sign. Instead the answer should be

~ Hope this helps you!
Answer:
2.25π in²
Step-by-step explanation:
The area can be found from the circumference using the formula ...
A = C²/(4π)
Putting in the given dimension, you have ...
A = (3π)²/(4π) = (9/4)π = 2.25 π . . . . in²
False for every rate there is only one unit rate. there is however more than 1 rates for one unit rate. for example 4/2 would have 2/1 as a unit rate but 2/1 can have 4/2 and 8/4 as rates and so on. hope this helps good luck!