Ashley and Liam both have playlists on their music apps.

Question

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
9 playlists.
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greater than
less than
at most
at least
exactly

Answer 1

Let's break down the information given in the problem to form the inequality.

1. Let \( a \) be the number of playlists on Ashley's app.
2. The number of playlists on Liam's app is \( 4a \).
3. The combined total of playlists is at least 45.

We can express the total number of playlists as follows: \[ a + 4a \geq 45 \] This simplifies to: \[ 5a \geq 45 \]

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

For Question 2, since Ashley’s app has 9 playlists, we can state that it has at least 9 playlists, but given the context of what you've asked, if you're looking for how many playlists would fit the condition of Question 1, we would also say that she has at least that number according to the inequality.

So if phrasing it in context, you would say: "Ashley's app has at least 9 playlists."