If a varies directly as the cube root of b and if a=3 and b=64.find the formula connecting the variables hence find b when a=15/4

b = 125

Step-by-step explanation:

Given a varies directly as then the equation relating them is

a = k ← k is the constant of variation

To find k use the condition a = 3 , b = 64 , then

3 = k = 4k ( divide both sides by 4 )

= k

a = ← equation of variation

When a = , then

= ( multiply both sides by 4 to clear the fractions )

15 = 3 ( divide both sides by 3 )

5 = , then

b = 5³ = 125

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

36/60

36/2=18

60/2=30

18/30

18/3=6

30/3=10

6/10

6/2=3

10/2=5

your final answer would be 3/5 of an

hope this !