Question

If 2d = 5c, then all of the following are true except _____.

a. 2/5=c/d
b. 5/2=d/c
c. 2/c=5/d
d. 2/d=5/c

Answer 1

D is the only one not true

Answer 2

`(2)/(d) = (5)/(c)`

Option d is correct

Explanation:

Given that:

`2d = 5c`

Option d.

`(2)/(5) = (c)/(d)`

By cross multiply we have;

`2d = 5c` which is true.

Option b.

`(5)/(2) = (d)/(c)`

By cross multiply we have;

`5c =2d` which is true.

Option c.

`(2)/(c) = (5)/(d)`

By cross multiply we have;

`5d =5c` which is true.

Option d.

`(2)/(d) = (5)/(c)`

By cross multiply we have;

2c = 5d

which is not true.

Therefore, all of the following are true except
`(2)/(d) = (5)/(c)`