Tickets to the museum cost $18 for adults and $12 for children. A group of 20 people went to the museum, and the tickets cost $324. The system of equations models this situation, where x is the number of adults and y is the number of children.x-y=20
18x+12y=324

How many adults and how many children were in the group?

A.
8 adults and 12 children

B.
10 adults and 10 children

C.
12 adults and 8 children

D.
14 adults and 6 children

Answers

Answer 1

Answer: As far as i can see, there is something wrong with one of the equationsthat are given in the question. It is mentioned in the question that atotal of 20 people went to the museum. That means that among those 20people there were children as well as adults. So the equation that ismentioned in the question given below is wrong.
x - y = 20
The correct equation would be x + y = 20
The second equation given in the question is absolutely correct.
18x + 12y = 324
Diving both sides by 6 we get
3x + 2y = 54
Now let us get back to the first equation
x + y = 20
x = 20 - y
Putting the value of x in the second equation we get
3x + 2y = 54
3(20 - y) + 2y = 54
60 - 3y + 2y = 54
60 - y = 54
-y = 54 - 60
-y = -6
y = 6
Then we get that the number of children going to the museum is 6
So
The number of adults = 20 - 6
= 14
So the total number of adults going to the museum is 14 and the number of children going to the museum is 6. The correct option in the question is option "D".

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Answers

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If marching bands vary from 21 to 49 players,which number of players can be arranged in the greatest number of rectangles?

Answers

It would be 48 players because if you can arrange players in
2 by 24
3 by 16
4 by 12
6 by 8

Hope this helps!!

Answer: 48 or 36 players

Step-by-step explanation:

This is because the number that has the largest of pairs of factors is 48 or 36.

1x48

2x24

3x16

4x12

6x8

1x36

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Find the measure of the third angle of a triangle if the measures of the other two angles are given.109.7 and 47.1

Answers

The measure of the third angle of a triangle is 23.2° .

How to find the third angle of the triangle in the question?

We know that sum of the interior angles of a triangle is always 180° .

The two angles given is 109.7° and 47.1°.

Let the third angle be x°.

⇒ x + 109.7° + 47.1° = 180°

⇒ x + 156.8 = 180°

∴ x = 23.2°.

Therefore the measure of the third angle is 23.2°.

To learn more about properties of triangle, refer -

brainly.com/question/13428505

#SPJ2

Add 109.7 and 47.1 together then subtract it from 180 getting you 23.2

Kara buys 24 bagels. Ten are whole wheat. What fraction of the bagels are wheat? Write in simplest form.

Answers

since 10 is whole wheat, the fraction is 10/24
in the simplest form 5/12

First the default fracton: 24 over 10 bagels.
So 24 over ten simplified (made into smallest form) 12 over 5.

Your answer is 12
__

5

5/6 as a decimal and terminating

Answers

5/6 = 0.833333 .... (non-terminating)

How would you solve this problem?

Answers

The first and most important series of steps in pursuing an answer to this particular problem is:

1). Obtain a clear printed copy of the problem.

2). Spread the copy in front of you.

3). Look at the entire copy and center it in your field of view.

4). (the climax of these preliminaries): READ the problem, as many times as neccessary to understand what information it gives, and what exactly it asks.

Obviously, we're not equipped to do any of this for you.

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Last one guys I promised thank you you all for the help!