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gulaghasi [49]
3 years ago
8

A family buys 4 airline tickets and travel insurance that costs $18 per ticket. The total cost is $680. Let x represent the pric

e of one ticket. Write an equation to represent this situation. What is the price of one ticket?
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0

Answer:

x=$165.50

Step-by-step explanation

4x+18=$680

680-18=$662

662/4=$165.50

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Odd numbers are of the form:

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So first we need to know how many odd numbers there are between 100 and 200...

100<2n-1<200  add 1 to all terms

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50.5<n<100.5, since n must be an integer

51≤n≤100 so there are 100-51+1=50 odd numbers

Notice that 2n-1 forms an arithmetic sequence from 101 to 199 in this instance.

The sum of any arithmetic sequence is the average of the first and last terms times the number of terms, mathematically:

s=(a+b)(n/2), where a and b are the first and last terms and n is the number of terms, we saw earlier that there are 50 terms and that a=101 and b=199 so:

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s=7500

So the sum of all odd numbers between 100 and 200 is 7500.
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