SOLUTION: A rope is square root of 250 units long. The rope is cut into two pieces, so that the lengths of the pieces are in the ratio 2:3. What is the length fo the longer piece expressed i

Algebra.Com
Question 83891: A rope is square root of 250 units long. The rope is cut into two pieces, so that the lengths of the pieces are in the ratio 2:3. What is the length fo the longer piece expressed in simplest radical form? Thanks alot.
Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
Longer Piece = 3x
Shorter Piece = 2x
3x + 2x = sqrt(250)
5x = 5*sqrt(10)
x = sqrt(10)
Longer Piece = 3*sqrt(10)

RELATED QUESTIONS

A rope is √(250) units long. The rope is cut into two pieces, so that the lengths... (answered by josmiceli)
A rope is square root 50 units long. The rope is cut into two pieces, so that the lengths (answered by rothauserc)
A rope is square root 250. Rope is cut In two pieces, so that the length of pieces are in (answered by Alan3354)
A rope is square root 250. Rope is cut In two pieces, so that the length of pieces are in (answered by MathLover1)
A piece of rope 60 meters long is cut into two pieces so that the longest piece is twice... (answered by pwac)
A. Antonia has a green rope and a blue rope. Her green rope is 4 feet in length. She cut... (answered by josgarithmetic)
rope is square root 250 units long. it is cut into 2 pieces so the lengths are in ratio... (answered by vleith)
From a rope 50m long,two pieces each 20m long are cut off. What length of the rope is... (answered by ewatrrr)
From a rope 11m long, two pieces of lengths 2*3/5m and 3*3/10m are cut off What is the... (answered by Alan3354)