Answer:
r = 14
Step-by-step explanation:
Use distributive property:
4r + 2r - 16 = 12 + 4r
Combine like terms:
6r - 16 = 12 + 4r
Isolate the variable:
6r = 28 + 4r
2r = 28
r = 14
That point does not satisfy either inequality.
You can tell it does not satisfy the first portion, due to it being under the shaded line. Secondly, the dotted line goes through it, but that fact that it is dotted makes it not included.
This question belongs to greatest common factor.
49 = 7*7
56 = 7*8
So Greatest common factor = 7
Hence Susan can arrange 7 mugs on one shelf.
For 49 blue mugs, Susan can arrange 7 mugs in 7 shelves.
For 56 red mugs, Susan can arrange 7 mugs on 8 shelves.
Hence, 7 shelves are needed for BLUE mugs and 8 shelves are needed for RED mugs.
Answer:

Step-by-step explanation:
