Mathematics

A drinking straw of length 21 cm is cut into 3 pieces

the length of the first piece is x cm

the second piece is 3cm shorter than the 1st piece

the third piece is twice as long as first piece

(a) state in terms of x the length of the pieces (i think i figured that one out...1st piece= 21cm-xcm, 2nd piece= xcm-3cm and the 3rd piece= xcm X 2cm i don't know if its right)

(b) write an expression in terms of x to represent the sum of the lengths of 3 pieces.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. You're on the right track.

    I'd state it this way.

    x + x - 3 + 3x = 21

    5x = 24

    x = 24/5 = 4.8 cm

    ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    4.8 + 1.8 + 14.4 = 21

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    👤
    Ms. Sue
  2. Hmmm. I'd have said (since the 3rd piece is twice as long as the first):

    x + x-3 + 2x = 21
    4x = 24
    x = 6

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. Ooops -- thanks, Steve for the correction!

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    👤
    Ms. Sue
  4. Hi there, you both, did not answer on the part (b)write an expression in terms of x to represent the sum of the lengths of 3 pieces.

    x + (x - 3) + 2x

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. probability

    A factory produces copper wires. A blue mark is placed on a very long length of copper. The wire is then cut into pieces. The lengths of different pieces are independent, and the length of each piece is distributed according to

  2. algebra

    A 40 inch board is cut into two pieces so that the shorter piece is two-thirds of the length of the longer piece. What are the lengths of the two cut pieces?

  3. Math

    The lengths of three wires were 30m, 36 m and 84m. Pieces of wire of equal length were cut from the three wires. Calculate the least number of pieces obtained.

  4. Calculus

    A wire 60 cm long is to be cut into two pieces. One of the pieces will be bent into the shape of a square and the other into the shape of an equilateral triangle, as shown in the diagram below: a diagram showing a 60 cm wire cut

  1. Math

    A rope of length 9 3/4 is cut into 6 pieces of equal length. Find the length of each piece.

  2. math

    a string of length 9/10 is cut into 6 equal pieces. What is the length of 2 of the pieces

  3. math

    A length of string that is 22 feet long is being cut into pieces that are 1/3 foot long. How many pieces will there be? 22x3=66 pieces

  4. math

    63 inch pipe is cut in to two pieces. one piece is two times the length of the other. what is the length of the two pieces.

  1. Math

    Tom has three pieces of rope with lengths of 140 cm, 168 cm and 210 cm. He wishes to cut the three pieces of rope into smaller pieces of equal length with no remainders. a) what is the greatest possible length of each of the

  2. math

    jill has 8 yards of cloth. she wants to cut it into pieces that are 1/4 yard long. How many pieces can she cut from the length of cloth

  3. Algebra

    A coaxial cable 10 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of cable.

  4. mathematics

    A piece of string of length 5m long is cut into n pieces in such a way that the lengths of the pieces are an arithmetic sequence. If the lengths of the longest and the shortest pieces are 1m and 25cm respectively, calculate n.

View more similar questions or ask a new question.