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

Answer:

$\frac{2}{d} = \frac{5}{c}$

Option d is correct

Step-by-step explanation:

Given that:

$2d = 5c$

Option d.

$\frac{2}{5} = \frac{c}{d}$

By cross multiply we have;

$2d = 5c$  which is true.

Option b.

$\frac{5}{2} = \frac{d}{c}$

By cross multiply we have;

$5c =2d$  which is true.

Option c.

$\frac{2}{c} = \frac{5}{d}$

By cross multiply we have;

$5d =5c$  which is true.

Option d.

$\frac{2}{d} = \frac{5}{c}$

By cross multiply we have;

2c = 5d

which is not true.

Therefore, all of the following are true except $\frac{2}{d} = \frac{5}{c}$