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tankabanditka [31]
3 years ago
7

which of the following group of numbers are all prime numbers a.2,5,15,19 b.7,17,29,49 c.3,11,23,31 d.2,3,5,9,

Mathematics
2 answers:
antoniya [11.8K]3 years ago
6 0
Prime numbers are those that cannot be divided by another number (other than themselves and 1). In other words, prime numbers have factors of themselves and 1.

For example, 3 is a prime number because its only factors are 3 and 1.

6 is not a prime number because it can be factored to 3*2.

Therefore, the correct answer is c. 3,11,23,31
prisoha [69]3 years ago
6 0
Prime numbers can only be divided by 1 and itself.

First group:- It contains 15, and 15 can be divided by 3 and 5 to get a whole number.

Second group:- 49 can be divided by 7 to receive 7. So this is wrong.

Third group:-  This group can be considered all prime numbers, so this is correct.

Fourth group:- Incorrect. Because 9/3 = 3

Answer:-   c. 3,11,23,31 are all prime numbers. 
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Part A: Consider the equation x + 7 = 16. Which number from the set {5, 7, 9, 11} makes the equation true?
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Part A: Substitute/plug in each number into the equation to see which number will make the equation true.

x + 7 = 16      Plug in 5 into "x"

5 + 7 = 16

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x + 7 = 16     Plug in 7 into "x"

7 + 7 = 16

14 = 16     7 doesn't make the equation true because it equals 14 not 16

x + 7 = 16     Plug in 9 into "x"

9 + 7 = 16

16 = 16             9 makes the equation true because it equals 16

Part B: Plug in 9 into "x" in the inequality to see if it still makes it true.

x + 7 < 16     [x plus 7 is less than 16]

9 + 7 < 16

16 < 16     [16 is less than 16]  The same number would not make the inequality true because 16 can't be less than itself.

To figure out which numbers satisfy the inequality, plug it into the inequality:

x + 7 < 16      Plug in 5 into "x"

5 + 7 < 16

12 < 16      5 does satisfy the inequality because 12 is less than 16

x + 7 < 16     Plug in 7 into "x"

14 < 16     7 does satisfy the inequality because 14 is less than 16

x + 7 < 16     Plug in 11 into "x"

11 + 7 < 16

18 < 16     11 doesn't satisfy the inequality because 18 isn't less than 16

3 0
3 years ago
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