Answer:
There are 24 different trip possibilities.
Step-by-step explanation:
Here the first thing we need to find is all the individual events, such that each event (or selection) will have a given number of options.
The first event is the selection of the location.
Here the options are: Phoenix, Las Vegas, San Diego, or Los Angeles (4 options)
The second event is the selection of how you go there.
The options are flying or driving (2 options)
The third event is the selection of how many days you will stay there. The options are 3 days, 4 days, and 5 days (3 options).
The total number of different trip possibilities is equal to the product between the number of options for each event.
P = 4*2*3 = 24
There are 24 different trip possibilities.
The sum of the first five terms is 11/2
<h3>How to determine the sum?</h3>
The series is given as:
1/2, -1,2,-4…
Calculate the common ratio of the series using
r = -4/2
Evaluate
r = -2
The sum is then calculated as:

This gives

Evaluate

Evaluate

Hence, the sum of the first five terms is 11/2
Read more about series at:
brainly.com/question/11346378
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Answer:
we know
Step-by-step explanation:
Answer:
A) 4x+3y=14
B) 3x-2y=2
We multiply equation A) by (2/3)
A) (8/3) x +2y = 28/3 then we add this to equation B)
B) 3x-2y=2
5 (2/3) x = 11 (1/3)
x = 2
A) 4 * 2 + 3 y = 14
A) 3y = 6
y = 2
Step-by-step explanation: