Respuesta :
The number of song files Jackson can download: x
The number of video files Jackson can download: y
x song files occupy a space of 3.5MB per file, times x files = 3.5x MB
y media files occupy a space of 7MB per file, times y files = 7yMB
(3.5x + 7y) MB must be at most 50 MB, since there is 50 MB left,
this can be represented by the inequality: [tex]i) \ \ 3.5x+7y \leq 50[/tex]
Jackson wants to download at least 10 media files, so y must be at least 10
this means that [tex]ii) \ \ \ y \geq 10[/tex]
Answer: [tex]i) \ \ 3.5x+7y \leq 50\\\\ii) \ \ \ y \geq 10[/tex]
The number of video files Jackson can download: y
x song files occupy a space of 3.5MB per file, times x files = 3.5x MB
y media files occupy a space of 7MB per file, times y files = 7yMB
(3.5x + 7y) MB must be at most 50 MB, since there is 50 MB left,
this can be represented by the inequality: [tex]i) \ \ 3.5x+7y \leq 50[/tex]
Jackson wants to download at least 10 media files, so y must be at least 10
this means that [tex]ii) \ \ \ y \geq 10[/tex]
Answer: [tex]i) \ \ 3.5x+7y \leq 50\\\\ii) \ \ \ y \geq 10[/tex]
Answer:
[tex]3.5x+7y\leq 50[/tex]
[tex]x+y\geq 10[/tex]
Step-by-step explanation:
Given : Jackson has 50 megabytes (MB) of space left on his smartphone. He can download songs that each use 3.5 MB or videos that each use 7 MB. He wants to download at least 10 new media files.
To find : The pair of inequalities specifies the number of song files, x, and the number of video files, y, that Jackson can download.
Solution :
The number of song files Jackson can download is x
The number of video files Jackson can download is y
→ x song files occupy a space of 3.5 MB per file,
So, number of space occupy by songs files = 3.5x MB
→ y media files occupy a space of 7 MB per file,
So, number of space occupy by video files = 7y MB
→ The total amount of MB used is [tex]3.5x+7y[/tex]
Jackson has 50 megabytes (MB) of space left on his smartphone.
The total amount must be less than or equal to 50 MB,
which can be represented as [tex]3.5x+7y\leq 50[/tex]
Jackson wants to download at least 10 media files,
which means [tex]x+y\geq 10[/tex]
Therefore, The two inequality form is
[tex]3.5x+7y\leq 50[/tex]
[tex]x+y\geq 10[/tex]
