Which number line represents the solution of 4x−9≥−21?(1 point)
Responses
The number line that represents the solution of 4x - 9 >= -21 is number line B, where x is greater than or equal to -3.
An online music club has a one-time registration fee of $20 and charges $0.50 for each song download. If Ella has $50.00 to join the club and buy songs, which inequality gives the maximum number of songs, s, she can buy?(1 point)
Responses
s≥30s is greater than or equal to 30
s≤30s is less than or equal to 30
s≥60s is greater than or equal to 60
s≤60
s ≤ (50 - 20) / 0.50
s ≤ 30
Therefore, the correct inequality that gives the maximum number of songs Ella can buy is s ≤ 30.
Mark and Anson each have a video game collection.
The number of video games in Mark collection can be represented by x.
The number of video games in Anson collection is 5 times the number in Mark collection.
The total number of video games is no more than 72.
What is the solution set for x, the number of video games in Mark’s collection?
(1 point)
Responses
x≤12x is less than or equal to 12
x≤−12x is less than or equal to negative 12
x≥15x is greater than or equal to 15
x≥−1
The number of video games in Anson's collection is 5 times the number in Mark's collection, so Anson has 5x video games.
The total number of video games is no more than 72, so we can write the inequality:
x + 5x ≤ 72
Combining like terms, we get:
6x ≤ 72
Dividing both sides by 6, we get:
x ≤ 12
Therefore, the correct solution set for x, the number of video games in Mark's collection, is x ≤ 12.