Ruth cuts a piece of string into 3 parts there lengths are ratio 2: 3: 5. the longest part is 35 centimeters. how long is the shortest part

14 cm

Step-by-step explanation:

If three parts have the ratio between their lengths 2:3:5, then the shortest part has the length of 2x cm, the middle part - 3x cm and the longest part - 5x cm.

Since the longest part is 35 cm, then

5x=35,

x=7 cm.

So, the shortest part is 14 cm long.

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional