A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

Help? Suppose w varies directly with x, x varies inversely with y, and y varies inversely with z. Show algebraically how w relates to z.

  • This Question is Closed
  1. asnaseer
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    do you know how to write "w varies directly with x" as an equation?

  2. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't o.o

  3. asnaseer
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok, this can be written as:\[w=ax\]where 'a' is some constant

  4. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so a, being some constant, is part of how it relates to z?

  5. asnaseer
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes - thats right. similarly, "x varies inversely with y" can be written as:\[x=\frac{b}{y}\]where 'b' is some other constant

  6. asnaseer
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    finally "y varies inversely with z" can be written as:\[y=\frac{c}{z}\]

  7. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well that makes sense now that you put it that way thanks!

  8. asnaseer
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    where 'c' is some other constant

  9. asnaseer
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now all you need to do is to combine all these equations:\[w=ax\]\[x=\frac{b}{y}\]\[y=\frac{c}{z}\] to get a relation between w and z.

  10. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.