A jewelry store sells charm sets that each contain three heart charms and c character charms. After buying several of these sets as gifts from the store, Mrs. Thompson had a total of 20 charms. Which expression represents the number of charm sets Mrs. Thompson bought?

The expression to find the number of charm sets Mrs.Thomson bought is written as 20 ÷ (3+c).

Step-by-step explanation:

It is given that, the jewelry store sells two types of charms which includes the heart charm and the character charm.

Therefore, the number of both heart & character charms in a set = (3+c) charms.

After buying several of these sets from the jewelry store,

To find the number of charm sets she bought :

The expression can be formed as the total number of charms Mrs.Thomson had divided by the total number of charms in one charm set.

⇒ 20 = the total number of charms Mrs.Thomson had.

⇒ (3+c) = the number of charms in a charm set.

The expression to find the number of charm sets Mrs.Thomson bought is written as 20 ÷ (3+c).

For example, if the no.of character charm in the set is c = 1. Then the total number of charms in a set ⇒ (3+c) = 3+1 = 4.

The number of charm sets she bought can be calculated using the above expression.

⇒ 20 ÷ 4

⇒ 5 charm sets.

If c=1, then Mrs.Thomson bought 5 charms sets and she will have 20 charms with her.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

ratio is 2 : 9

the answer is three

13.5 : 3