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:
RQ = 18
Step-by-step explanation:
KR is an angle bisector and divides the opposite side into segments that are proportional to the other two sides, that is
=
, substitute values
=
( cross- multiply )
45(38 - x) = 50x ← distribute left side
1710 - 45x = 50x ( add 45x to both sides )
1710 = 95x ( divide both sides by 95 )
18 = x
That is RQ = 18
It is 3.75 for the answer
Option D is correct. The correct option for the recursive formula is 
Given the sequence 10, 14, 18...
The first term is 10, hence
a1 = 10
The previous terms will be 
From the sequence, we can see that <em>4 is being added to the previous term to get the next term</em>. Hence the nth term will be expressed as:

Get the term before the first term 
If n = 1

Hence the correct option for the recursive formula is 
Learn more here: brainly.com/question/18233843
Answer: Sample size would be 296.
Step-by-step explanation:
Since we have given that
Standard deviation = 4.8 hours
Margin of error = 0.65 hours
At 98% level of confidence, z = 2.33
So, It becomes,

Hence, sample size would be 296.