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ipn [44]
3 years ago
8

If the numbers x+3,2x+1and x-7are in AP then find x​

Mathematics
2 answers:
tester [92]3 years ago
7 0

Answer:

x = -3.

Step-by-step explanation:

As it is an Arithmetic Progression the differences between successive terms are common, so:

2x + 1 - (x + 3) = x - 7 - (2x + 1)

2x - x + 1 - 3 = x - 2x - 7 - 1

x - 2 = -x - 8

2x = -8 + 2 = -6

x = -3.

o-na [289]3 years ago
5 0

Answer:

  -3

Step-by-step explanation:

If these numbers are part of an arithmetic progression, their differences are the same:

  (x -7) -(2x +1) = (2x +1) -(x +3)

  -x -8 = x -2

  -6 = 2x

  -3 = x

___

The numbers in the sequence are 0, -5, -10.

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Sodium - 24 has a hourly decay rate of 5%
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Answer:

The amount of sodium- 24 remain after 90 hours of decay is 8.90 gram

Step-by-step explanation:

Given as :

The amount of sodium-24 = 900 gram

The decay rate of sodium is 5 %

The time period for its decay  = 90 hours

Final value of sodium -24 = initial value \times  (1 - \frac{Rate}{100})^{Time}

Or, Final value of sodium -24 = 900 gram \times  (1 - \frac{5}{100})^{90}

Or, Final value of sodium -24 = 900 g × (0.95)^{90}

Or,  Final value of sodium -24 = 900 g × (9.88)^{-3}

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Hence The amount of sodium- 24 remain after 90 hours of decay is 8.90 gram    Answer

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3 years ago
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I went to Half Priced Books and purchased 15 books. I paid $2 each for some and $3 each for the rest of the books. How many $2 b
horsena [70]

Answer:

Thus the number of books at $2 is 9 books.

Step-by-step explanation:

The number of the book purchased = 15 books

Total amount spend to buy the books = $34

The prices of books are $2 and $3.

Let the number of books purchased at price  $2 = x

Let the number of books purchased at price  $3 = y

Now we have to find the number of books that is bought at $2.

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x + y = 15

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3 years ago
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meriva

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