10.5 pounds is the answer to the question
Answer: the absolute values and give the answer the same sign
Step-by-step explanation:
z 5 − z+2 2z+4 =−3 space, startfraction, 5, divided by, z, end fraction, minus, start fraction, 2, z, plus, 4, divided by, z
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Answer:
The sum of all the possible values for z that satisfy the above equation is -5.
Step-by-step explanation:
The given equation is
![\frac{5}{z}-\frac{2z+4}{z+2}=-3](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Bz%7D-%5Cfrac%7B2z%2B4%7D%7Bz%2B2%7D%3D-3)
We need to find the sum of all the possible values for z that satisfy the above equation.
The given equation can be rewritten as
![\frac{5}{z}-\frac{2(z+2)}{z+2}=-3](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Bz%7D-%5Cfrac%7B2%28z%2B2%29%7D%7Bz%2B2%7D%3D-3)
Cancel out common factors.
![\frac{5}{z}-2=-3](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Bz%7D-2%3D-3)
Add 2 on both sides.
![\frac{5}{z}-2+2=-3+2](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Bz%7D-2%2B2%3D-3%2B2)
![\frac{5}{z}=-1](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Bz%7D%3D-1)
![5=-z](https://tex.z-dn.net/?f=5%3D-z)
Multiply both sides by -1.
![-5=z](https://tex.z-dn.net/?f=-5%3Dz)
Only z=-5 satisfy the given equation.
Therefore the sum of all the possible values for z that satisfy the above equation is -5.
Answer:
Ball Bearing Volume = (4 / 3) * PI * radius ^3
Volume = (4 / 3) * 3.14159265 * (.35)^3
Volume = (4 / 3) * 3.14159265 * 0.042875
Volume = 0.17959438 cc
1 cc of steel = 7.8 g
Volume of 1 kg of steel = 1,000 cc / 7.8 g per cc
1 kg = 128.205 cc
Number of ball bearings we can make = 128.205 / 0.17959438
Equals 713.86
Step-by-step explanation: