alegebra

a 210 ft. long rope is cut into 3 pieces. the first piece of rope is 3 times as long as the second rope. the 3rd piece of rope is 2 times as long as the second piece of rope. What is the lenght of the longest piece of rope?

  1. 👍 0
  2. 👎 0
  3. 👁 200
  1. Let x = 2nd Rope, then 3x = first and 2x = third.

    x + 3x + 2x = 210

    Solve for x.

    1. 👍 0
    2. 👎 0
  2. 35

    1. 👍 0
    2. 👎 0
  3. A 180 ft long board is cut into 3 pieces. The second piece of board is twice as long as the first. The third piece of board is six times as long as the first.

    What is the length of the first piece of the board?

    1. 👍 0
    2. 👎 0
  4. 105ft.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    A 28​-inch board is to be cut into three pieces so that the second piece is twicetwice as long as the first piece and the third piece is 44 times as long as the first piece. If x represents the length of the first​ piece, find

  2. Math

    A 14 inch board is to be cut into 3 pieces so that the second piece is twice as long as the first piece and the third piece is 4 times as long as the first piece. If x represents the length of the first piece find the lengths of

  3. Math

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

  4. 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

  1. algebra

    A rope is cut into three and one-third is used. Then one-fourth of the remaining rope is cut off and used. The piece left is 6 meters long. How many meters long was the rope originally?

  2. Physics

    Hi I really need this question answer as a check: a helicopter holding a 70 kilogram package suspended from a rope 5.0 meters long accelerates upward at a rate of 5.2 m/s^2. a. Determine tension on the rope. b. When the upward

  3. algebra

    a 38 inch piece of steels is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is three inches more than four times the length of the first piece. find the lengths of pieces.

  4. Algebra 1

    A 10 meter rope is cut into two pieces so that one piece is equal to 5 meters longer than 4 times the shorter piece find the lengths to both sides

  1. Math

    Lisa went to the hardware store and bought 12 pieces rope. Each rope was 3 - 4 of a meter long. If the rope cost $3.50 a meter, how much did she spend? if i could get some help with this thatd be great :)

  2. math

    Yuri has a rope 12 meters long. He cuts into pieces that are 2 meters long. What fraction of the rope is one piece?

  3. math asap

    if a 40 m rope is cut into two pieces in the ratio 3 : 5, how long is each piece? i tried: x=one piece 3/5 = x/40 x= 3*40/5 x=120/5 x=24 is that right?

  4. math

    A spool of rope contains 73 yards of rope. How many​ 4-foot pieces of rope can be cut from the​ spool? How much rope is left​ over? There are nothing pieces of​ 4-foot rope that can be cut from the spool. ​(Type a

You can view more similar questions or ask a new question.