1. Lucy has a jewelry business. To make a certain necklace, she spends $3.38 on materials and $5.57 on labor. She then sells the
2 answers:
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Answer:
80 < 93 < 121 < 127
Step-by-step explanation:
For a geometric series,
Formula to be used,
Sum of t terms of a geometric series =
Here t = number of terms
a = first term
r = common ratio
1).
First term of this series 'a' = 3
Common ratio 'r' = 2
Number of terms 't' = 5
Therefore, sum of 5 terms of the series =
= 93
2).
First term 'a' = 1
Common ratio 'r' = 2
Number of terms 't' = 7
Sum of 7 terms of this series =
= 127
3).
First term 'a' = 1
Common ratio 'r' = 3
Number of terms 't' = 5
Therefore, sum of 5 terms =
= 121
4).
First term 'a' = 2
Common ratio 'r' = 3
Number of terms 't' = 4
Therefore, sum of 4 terms of the series =
= 80
80 < 93 < 121 < 127 will be the answer.
For this case we have the following expression:
Since the denominator is equal, then we can add the numerator.
We have then:
Adding similar terms we have:
Rewriting we have:
Doing common factor in the numerator we have:
Factoring the denominator we have:
Canceling similar terms we have:
Answer:
The simplest form of the expression has 7 in the numerator and m+4 in the denominator.
Since the denominator is equal, then we can add the numerator.
We have then:
Adding similar terms we have:
Rewriting we have:
Doing common factor in the numerator we have:
Factoring the denominator we have:
Canceling similar terms we have:
Answer:
The simplest form of the expression has 7 in the numerator and m+4 in the denominator.