Answer:
the third one
Step-by-step explanation:
bc like there are 2 boxes of 1 and 5 boxes of 1/6 so thats already 2 and 5/6 which applies to all of them. then there is 1 box of 1 and 2 boxes of 1/3 so thats 1 and 1/3 which applies to all of them also but when you make them have the same denominator you get 2 and 5/6 + 1 and 4/6 which deletes the second one. When you add you should get the same denominator so that deletes the first one so then you simplify that and the fraction should still be equal to the unsimplified fraction so you should get 4 and 1/2 if that makes sense
3m+21=6m
=>21=6m-3m
=>21=3m
=>7=m
Therefore option A is the answer
Using the Fundamental Counting Theorem, we have that:
4. 1,757,600 different license plates can be there.
5. 676,000,000 different driver's license numbers can be formed.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
For the letters there are 26 outcomes and for the digits there are 10 outcomes, hence the parameters for item 4 are given as follows:
Hence the number of license plates is given by:
N = 26 x 26 x 10 x 10 x 26 = 1,757,600.
For item 5, the parameters are:
Hence the number of license numbers is:
26 x 26 x 10 x 10 x 10 x 10 x 10 x 10 = 676,000,000
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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Answer:
Answer: A
Step-by-step explanation:
From the table given, the data sets are such that set A is a linear function while data set B is follows an exponential function. Given that the range of data set A over the same domain is smaller that the range of data set B over the same domain. Hence we conclude that the set A is linear and the values increase at a slower rate than set B.
Answer:
11 units
Step-by-step explanation:
According to ruler postulate, if there are two points A with coordinate a
and point B with coordinate b, \
then distance ab is given by subtracting coordinate in any order i.e it can be (a-b) or (b-a) and then take the absolute value value of it.
mathematically it can be represented as
AB = |a-b| or |b-a|
_________________________________________
in the given problem points are -9 and 2
thus distance
distance between –9 and 2 = |-9 -2| = |-11| = 11
absolute value of -11 is 11
alternatively, distance can be calculated as
distance between –9 and 2 = |2 -(-9) | = |2 + 9 | = |-11| = 11
