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Question 1
Ashley and Liam both have playlists on their music apps.

The number of playlists on Ashley’s app can be represented by a.
The number of playlists on Liam’s app is 4 times the number of playlists on Ashley’s app.
The total number of playlists on both their apps combined is at least 45.
Which inequality can be used to determine the number of playlists in Ashley's app?

(1 point)
Responses

5a≥45
5 A is greater than or equal to 45

5a≤45
5 A is less than or equal to 45

5a>45
5 A is greater than 45

5a<45
5a<45
Question 2
(1 point)
Ashley's app has
greater than
at most
exactly
at least
least than
9 playlists.
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1 answer

Let's break down the information given in Question 1 to derive the correct inequality.

  1. Let \( a \) represent the number of playlists on Ashley's app.
  2. The number of playlists on Liam’s app is 4 times Ashley’s, which is \( 4a \).
  3. The total number of playlists on both apps combined is at least 45, which gives us the inequality: \[ a + 4a \geq 45 \] Simplifying this: \[ 5a \geq 45 \]

So, the correct inequality to determine the number of playlists in Ashley's app is: 5a ≥ 45

Now, for Question 2: If Ashley's app has at least 9 playlists, that means \( a \geq 9 \).

If you are looking for the appropriate phrase to fill in the blank, it would be: Ashley’s app has at least 9 playlists.

If you need further clarification or assistance, let me know!