Arope is sq rt. 250 units long. if cut into 2 pieces so that the lengths of the pieces are in the ratio of 3: 2 what is the length of longer piecein simplest radical form? 3: 2 =5/ do i set x/sq. rt.250=5/3? i end up with 25 sq rt. 10/3. this isn't correct.

Let 3x = the length of the first rope

       2x = the length of the second rope

This representation is based on the given that the ratio of the two ropes is 3:2.

3x + 2x = sq rt. 250

5x = sq rt. 250

x = sq rt. 250 / 5

x = sq rt. 25(10) / 5

x = 5 sq rt. 10 /5

The five would be cancelled resulting to:

x =sq rt. 10

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.