let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
True.
3 x 5 = 15
4 x 5 = 20
Therefore, 3:4 = 15:20
it is True
hope this helps
<span>The Selected correct answers are.
Circle Q is a dilation of circle P with a scale factor of 7.
Circle Q is a translation of circle P, 6 units up.</span>
Answer:
1/18?
Step-by-step explanation:
Graphs can be used to model real-world situations
- Segment 8 means: people are leaving the arena
- Segments 5 and 7 represent, intervals where there was no incoming or outgoing fans.
- Segment 6 means a few people left, when the game was going to an end.
Segment 8
From the graph (see attachment), we have the following observations
- Segment 8 is at the second half of the graph
- Segment 8 connects segment 7 and 9 (i.e. from the top, downwards)
The above points imply that:
Fans are leaving the arena at segment 8
Segments 5 and 7
From the graph, segments 5 and 7 are horizontal lines.
This means that:
No entry or exit was observed by the fans, at segments 7 and 5
Segment 6
Segment 6 connects segments 5 and 7, with a short downward line
This means that:
Few people left the arena, at segment 6
See attachment for the graph
Read more about graphs at:
brainly.com/question/4700926