Solving 3z/2=z/6+4: Is it Right?

  • Thread starter Thread starter thomas576
  • Start date Start date
AI Thread Summary
The equation 3z/2 = z/6 + 4 is analyzed for correctness. Initial calculations led to z = 1/2, but this was incorrect due to a miscalculation involving the constant. Correctly multiplying both sides by 6 yields 9z = z + 24, simplifying to 8z = 24, resulting in z = 3. The discussion emphasizes the importance of properly handling constants in equations. The final conclusion is that the correct solution is z = 3.
thomas576
Messages
20
Reaction score
1
3z/2=z/6+4

so

i x multiply and get
18z=2z+8
16z=8

z=1/2

this look right?

thanks
 
Physics news on Phys.org
Unfortunately no; you forgot to multiply your constant with 6 as well
(with the "constant", I mean the lone "4" in your original equation)
 
hmm

ok you lost me /shrug
 
3z/2=z/6+4
1. Multiply both sides of the equation with 6:
6*(3z/2)=6*(z/6+4)
OR:
18z/2=6z/6+6*4
Or:
9z=z+24
That is:
8z=24
Whereby:
z=3

Note:
I didn't bother with your cross-multiplication; that was an unnecessary operation.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...

Similar threads

Replies
32
Views
1K
Replies
3
Views
1K
Replies
11
Views
2K
Replies
3
Views
839
Replies
1
Views
1K
Replies
2
Views
649
Replies
4
Views
701
Replies
16
Views
3K
Back
Top