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.
To get x intercept：
let y=0，x➖12=0，x=12
so x intercept point （12，0）
To get y intercept：
let x=0，3y➖12=0，y=4
so y intercept point （0，4）
Answer:
r = -5
Step-by-step explanation:
common ratio (r) is found be dividing one term by its preceding term:
r = 275 ÷ -55 = -5
or, r = -55 ÷ 11 = -5
Therefore, r = -5
Answer:
(a) Neither
(a) Perpemdicular
Step-by-step explanation:
Required
Determine the relationship between given lines
(a)
and
An equation written in form: 
has the slope:
So, in both equations:
For both lines to be parallel
This is false in this case, because:
For both lines to be perpendicular
This is false in this case, because:
(b)
and
Write equations in form:
Divide by 5
Divide by 2
In both equations:
For both lines to be parallel
This is false in this case, because:
For both lines to be perpendicular
This is true in this case, because:
Cancel out 2 and 5
Answer:
4 3/16 miles a day
Step-by-step explanation:
16 3/4 miles in 4 days
Divide 16 3/4 by 4
16 3/4 = 67/4
4 = 4/1
To divide you multiply by the reciprocal(flip of the numerator and denominator)
67/4 ÷ 4 = 67/4 x 1/4 = 67/16
67/16 = 4 3/16
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-Chetan K
