a rope is radical 150 untis 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 of the longer piece expressed iin the simplest form?
2007-04-21 07:36:56 · 4 answers · asked by nisha10mabry 3 in Science & Mathematics ➔ Mathematics
Ratio is 2 : 3
150 = length of rope
2 + 3 = 5
2/5 = shorter piece of rope
3/5 = longer piece of rope
2/5(150) = 300/5 = 60
3/5(150) = 450/5 = 90
The shorter piece of rope is 60 units
The longer piece of rope is 90 units
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2007-04-21 07:54:22 · answer #1 · answered by SAMUEL D 7 · 0⤊ 0⤋
a rope is cut into 2 pieces and the ratio of 2:3. that means the rope can be sectioned off into 5 parts.
150/5=30
2 parts x 30 = 60 un.
3 parts x 30 = 90 un.
simplest form for the longer piece would be:
90/150
9/15
3/5
2007-04-21 14:42:18 · answer #2 · answered by Pluie 2 · 0⤊ 0⤋
If the pieces are in a 2:3 ratio, then they can be divided into 5 equal parts (2 for the small one and 3 for the big one). All you have to do is divide 150 by 5 to get the length of one of those small equal parts. Then, for the longer piece, multiply this value by 3. You can do the math yourself.
2007-04-21 14:41:47 · answer #3 · answered by Sci Fi Insomniac 6 · 0⤊ 0⤋
x/2=y/3
3x=2y
x+y=sqrt(150)
Answer:
y=3 sqrt(6)
hint:
150=2* 3 *25
2007-04-21 14:46:20 · answer #4 · answered by iyiogrenci 6 · 0⤊ 0⤋