Post a New Question

algebra

posted by .

The strength of a wood beam varies inversely with its length. A beam is 33 feet long can support 1200 pounds. How much weight can a similar beam support if it is 23 feet long?

  • algebra -

    stength = k(1/length)
    if length = 33, then strength = 1200
    1200 = k/33
    k = 39600

    so : strength = 39600/length
    if length = 23
    strength = 39600/23 = 1721.7

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra II

    The maximum safe load of a rectangle beam varies jointly as its width and the square of its depth and inversely as the length of the beam. If a beam 8.00 in. wide, 11.5 in. Deep, and 16.0 ft long can safely support 15.000 lb, find …
  2. Algebra II

    The maximum safe load of a rectangle beam varies jointly as its width and the square of its depth and inversely as the length of the beam. If a beam 8.00 in. wide, 11.5 in. Deep, and 16.0 ft long can safely support 15.000 lb, find …
  3. Algebra II

    The maximum safe load of a rectangle beam varies jointly as its width and the square of its depth and inversely as the length of the beam. If a beam 8.00 in. wide, 11.5 in. Deep, and 16.0 ft long can safely support 15.000 lb, find …
  4. Math

    The strength S of a rectangular beam varies jointly as its width w and the square of its thickness t. If a wood beam 3 inches wide and 5 inches thick supports 300 pounds, how much can a similar beam 3 inches wide and 8 inches thick …
  5. AlgebraII

    PLEASE HELP! I DO NOT KNOW WHAT TO DO? The maximum weight that a rectangular beam can support varies jointly as it's width and the square of its height and inversely as its length. If a beam 1/2 foot wide, 1/3 foot high, and 10 feet
  6. Algebra 2

    The strength of a beam varies inversely with the square of its length. If a 15-foot beam can support 500 pounds, how many pounds can a 20-foot beam support?
  7. math

    The weight W that a horizontal beam can support varies inversely as the length L of the beam. Suppose that a 4-m beam can support 1000 kg. How many kilograms can a 17-m beam​ support?
  8. Algebra

    Suppose that the maximum weight that a certain type of rectangular beam can support varies inversely as its length and jointly as its width and the square of its height. Suppose also that a beam 6 inches wide, 2 inches high, and 12 …
  9. Algebra

    Suppose that the maximum weight that a certain type of rectangular beam can support varies inversely as its length and jointly as its width and the square of its height. Suppose also that a beam 6 inches wide, 2 inches high, and 12 …
  10. Mathematics

    Suppose that the maximum weight that a certain type of rectangular beam can support varies inversely as its length and jointly as its width and the square of its height. Suppose also that a beam 4 inches wide, 3 inches high, and 18 …

More Similar Questions

Post a New Question