Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate
2 answers:
Answer:
This is not an answer, just my though process:
Step-by-step explanation:
The fastest method would use all white squares:
96 white squares would take 13.7 days to complete and cost $115.20.
The cheapest method would use all blue squares:
96 blue squares would take 24 days to complete and cost $76.80.
As we can see, time is not the limiting step, the maximum of 96 squares is limiting.
An inequality equation should use the limiting step for it to be useful. Therefore, a, is most likely the answer.
A more concise answer would be:
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Answer:
a) There are 11,881,336 of these words in total.
b) There are 7,893,600 of these words with no repeated letters.
c) 896,376 of these words start with an a or end with a z or both
Step-by-step explanation:
Our words have the following format:
L1 - L2 - L3 - L4 - L5
In which L1 is the first letter, L2 the second letter, etc...
There are 26 letters in the English alphabet.
(a) How many of these words are there total?
Each of L1, L2, L3, L4 and L5 have 26 possible options.
So there are of these words total
(b) How many of these words contain no repeated letters?
The first letter can be any of them, so L1 = 26.
At the second letter, the first one cannot be repeated, so L2 = L1 - 1 = 25.
At the third letter, nor the first nor the second one can be repeated, so L3 = L1 - 2 = 24
This logic applies until L5
So we have
26-25-24-23-22
In total there are
of these words with no repeated letters.
(c) How many of these words start with an a or end with a z or both (repeated letters are allowed)?
is the number of words that start with an a and do not end with z. So we have
1 - 26 - 26 - 26 - 25
The first letter can only be a, and the last one cannot be z. So:
is the number of words that start with any letter other than a and end with z. So we have
25 - 26 - 26 - 25 - 1
The first letter can be any of them, other than a, and the last can only be z. So:
is the number of words that both start with a and end with z. So:
1 - 26 - 26 - 26 - 1
The first letter can only be a, and the last can only be z. The other three letters could be anything. So:
896,376 of these words start with an a or end with a z or both