Math

Michael's father brought him a 16-foot board to cut into shelves for his bedroom. Michael plans to cut the board into 11 equal size lengths for his shelves.

The saw blade that Michael will use to cut the board will change the length of the board by -0.125 inches for each cut. How will this affect the total length of the board?

The size of the cut will not, of course, change the
length of the board. It will, of course, affect the total length of the cut pieces, since 1.25" will be lost after 10 cuts.

I don't understand because then it asks :What will the exact length of each shelf be? So, i don't know what I'm supposed to do what numbers to use and how to use those numbers?

  1. 👍 0
  2. 👎 0
  3. 👁 52
asked by Maria Sanchez
  1. Ten cuts produce eleven pieces. The two end pieces will only be affected on one end while the interior pieces will be affected on both ends.
    Without the effect of the blade, the pieces would all be:
    16/11 ft = 1.455 ft.
    The two end pieces will be reduced by half of the blade width (remember: each cut is shared between the two pieces that result; hence the factor of 1/2):
    1.455 ft - 0.063 ft = 1.392 ft.
    The remaining pieces will be reduced by one blade width, a half width on either side:
    1.455 ft - 0.125 ft = 1.330 ft
    Thus, two shelves will be 0.062 ft shorter the the remaining nine. 0.062 ft = 0.744 inches. Perhaps the carpenter can make adjustments for this if he knows a little more algebra! :-)
    QED

    1. 👍 1
    2. 👎 0
    posted by Joe

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Michael's father broughthim a 16-foot board to cut into 11 equal sizes lengths for his shelves The saw blade that Michael will use to cut the board will change the length of the board by -0.125 inches for each cut. How will this

    asked by Joe on October 3, 2014
  2. physics

    michael starts at x=3 m and travels to the right at a constant 6 m/s for 2 s. he then slows down at a constant rate, coming to rest at 4 s after beginning to slow. A) what is michael's position when t=4 s.? C) What is Michael's

    asked by Brianna on November 14, 2012
  3. MATH

    michael borrowed $ 700 from his father. He promise to pay back the $700 with interesd in 9 moths. If michael pays his father 6% simple interest how much does he owe at the end of 9 moths?

    asked by ME on June 4, 2011
  4. algebra

    michael purchased a certain number of shares of one stock for a total of $1400. The second stock was selling for 6$ less per share. Michael could have brought 3 more shares of the second stock for the same amount of money. How

    asked by bobby on February 4, 2015
  5. College Algebra

    A 15 1/2 foot board is cut into pieces 3 1/4 long for a bookcase. What is the length of the piece remaining after as many shelves as possible have been cut?

    asked by Madison on June 6, 2017
  6. math

    John can cut the grass in 4 hours working by himself. When john cuts the grass with his younger brother michael, it takes 3 hours. How long would it take michael to cut the grass by himself?

    asked by Lauren on July 21, 2016
  7. Language

    Rewrite this sentence using "Following" in the beginning. Johnson's son Michael, followed his father's footsteps many years later and also set a world record. Would this be correct Ms Sue? (Following in his father's footsteps,

    asked by Rhondi on September 24, 2008
  8. psy210

    Michael is a 40 year old airline pilot who has recently begun to experience chest pains. The chest pains began when michael signed his final divorce papers,ending his 15 year marriage. He fought for joint custody of his two

    asked by patiance on March 5, 2009
  9. 8th Grade Math

    Tom was floating down the river on a raft when, 1km lower down, Michael took to the water in a rowing boat. Michael rowed downstream at his fastest pace. Then he turned around and rowed back, arriving at this starting point just

    asked by Lexi on September 30, 2008
  10. #2

    How are these stressors impacting Michael’s or Jennifer’s self-concepts and self-esteem? Each individual perceives these stressors differently. In Michael’s case, his self-concept is based on feelings and interpersonal

    asked by rose - Ms. Sue on June 6, 2008

More Similar Questions