Three times the sum of a number and 4 is the same as 18 more than the number. what is the number

Mathematics

1 answer:

____ [38]3 years ago

7 0

Answer:

three times the sum of a number and 4, if n were to represent the unknown number, is:

3(n + 4)

18 more than a number is:

n + 18

If these two are the same, then they are equal to each other, then:

3(n + 4) = n + 18

*Do the distributive property on the left*

3n + 12 = n + 18

*Combine like terms*

2n = 6

*Divide both sides by 2*

n = 3

The number is 3.

You might be interested in

In the local frisbee league, teams have 7 members and each of the 4 teams takes turns hosting tournaments. At each tournament, e

mars1129 [50]

There are 4 teams in total and each team has 7 members. One of the team will be the host team.

Tournament committee will be made from 3 members from the host team and 2 members from each of the three remaining teams. Selecting the members for tournament committee is a combinations problem. We have to select 3 members out 7 for host team and 2 members out of 7 from each of the remaining 3 teams.

So total number of possible 9 member tournament committees will be equal to:

$7C3 \times 7C2 \times 7C2 \times 7C2\\ \\ = 324135$

This is the case when a host team is fixed. Since any team can be the host team, there are 4 possible ways to select a host team. So the total number of possible 9 member tournament committee will be:

$9 \times 324135\\ \\ =2917215$