The variable y is directly proportional to the variable x if y= 32 when x= 20 what is the value of x when y= 40

x = 25

Step-by-step explanation:

A directly proportional relationship satisfies a proportion or two equal ratios. You can create a ratio between x and y coordinates written as y/x.

So when y = 32 and x= 20, the ratio is 32/20. If y = 40, what is x? This is the ratio 40/x. Set them equal in a proportion. Then cross multiply to solve for x.

32(x) = 20(40)

32x = 800

x = 25

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

56

step-by-step explanation: