Given:
The arithmetic sequence is −15, −33, −51, −69.
To find:
The nth term of the arithmetic sequence.
Solution:
We have,
−15, −33, −51, −69
Here,
First term: a = -15
Common difference is



Now, nth term of an arithmetic sequence is

Substitute a=-15 and d=-18.



Therefore, the nth term of the given arithmetic sequence is
.
Answer:
25
Step-by-step explanation:
Since each of the six possible outcomes is equally likely, you can expect to get each of the outcomes 150/6 = 25 times.
if this is wrong, let me know so I can fix it
hope this helps:)
C = # of carpenter hrs , b = # of blacksmith hrs
c + b = 30...c = 30 - b
20c + 25b = 690
20(30 - b) + 25b = 690
600 - 20b + 25b = 690
-20b + 25b = 690 - 600
5b = 90
b = 90/5
b = 18 <== hrs worked as blacksmith
c + b = 30
c + 18 = 30
c = 30 - 18
c = 12 <== hrs worked as carpenter
The question asks which x-value gives the same y-value for both equations, so if you need the ys to be equal, you can set both equations equal to each other, giving you 6x-16=3x-10. Now, solve for x. 6x-16=3x-10, subtract 3x and add 16, 3x=6, divide 3, x=2. Your answer is x=2.
The inequality that can be used to determine x is 
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<h3>How to generate the inequality</h3>
<u>Given data</u>
Rental company charge per day = $31.91
Rental company charge per mile driven = $0.07
Hudson plans to drive 100 miles
Hudson has at most $70
solution
let x represent he maximum number of days Hudson can afford to rent while staying on budget. cost of number of days is:
$31.91 * x= 31.91x
As Hudson plans to ride 100 miles; cost is:
100 * 0.07 = $7
therefore number of days plus 100 miles ride is:
31.91x + 7
with a limit of less than or equal to the budget we have:

The inequality above could be used to determine x
Read more on inequality here: brainly.com/question/11613554
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