Arope to length 30m is divided in the ratio 2: 3. calculate the length of the longest

longest part = 18 m

add the parts of the ratio 2 + 3 = 5

divide 30 by 5 to find the value of 1 part of the ratio

= 6 ← 1 part

2 parts = 2 × 6 = 12 m

3 parts = 3 × 6 = 18 m ← longest part

30 : (2 + 3) *3 =

6 * 3 =

18 cm (your answer)

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1