Answer:
m = -3
Step-by-step explanation:
5m + 20 = 8 + 2m +3
5m + 20 = 11 +2m
3m + 20 = 11
3m = -9
m = -3
Absolute value was $55. I don't really get the problem...
[ Answer ]

[ Explanation ]
Rewrite 0.12 As A Fraction
-----------------------------
Rewrite Decimal As A Fraction With 1 As A Denominator
0.12 = 
Multiply To Remove Decimal Places
·
= 
Find GCF, Reduce Fraction
= 
0.12 = 
![\boxed{\boxed{[ \ Eclipsed \ ]}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%5B%20%5C%20Eclipsed%20%5C%20%5D%7D%7D)
Answer:
Radius =6.518 feet
Height = 26.074 feet
Step-by-step explanation:
The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder
Volume of a Hemisphere 
Volume of a Cylinder 
Therefore:
The Volume of the Solid formed

Area of the Hemisphere =
Curved Surface Area of the Cylinder =
Total Surface Area=

Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.
Therefore total Cost, C

Recall: 
Therefore:

The minimum cost occurs at the point where the derivative equals zero.


![-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518](https://tex.z-dn.net/?f=-27840%2B32%5Cpi%20r%5E3%3D0%5C%5C27840%3D32%5Cpi%20r%5E3%5C%5Cr%5E3%3D27840%20%5Cdiv%2032%5Cpi%3D276.9296%5C%5Cr%3D%5Csqrt%5B3%5D%7B276.9296%7D%20%3D6.518)
Recall:

Therefore, the dimensions that will minimize the cost are:
Radius =6.518 feet
Height = 26.074 feet
Answer:
x= -36/5, which is also -7.2
Step-by-step explanation:
you can solve this equation by multiplying both sides of the equation by -6/5
hope it helps