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2 years ago

a number set consists of {4，5，6，7}。How many 2-digit combinations of numbers from the data set can be divided by 3？

Mathematics

1 answer:

kifflom [539]2 years ago

4 0

Answer:

Step-by-step explanation:

This trick works with 3:

If the sum of the digits of a number is divisble by 3 then the number is divisble by 3.

44 is not divisble by 3 because 4+4=8 is not divisble by 3.

45 is divisble by 3 because 4+5=9 is divisble by 3.

46 is not divisble by 3 because 4+6=10 is not divisble by 3.

47 is not divisble by 3 because 4+7=11 is not divisble by 3.

54 is divisble by 3 because 5+4=9 is divisble by 3.

55 is not divisble by 3 because 5+5=10 is not divisble by 3.

56 is not divisble by 3 because 5+6=11 is not divisble by 3.

57 is divisble by 3 because 5+7=12 is divisble by 3.

64, 65,67 are not divisble by 3 because their digits' sums are 10,11, and 13 respectively. 66 is a winner because 6+6=12 is divisble by 3.

Finally 7...

74,76,77 are not divisble by 3 because their digits' sums are 11,13, and 14 respectively. 75 is divisble by 3 because 7+5=12 is divisble by 3.

The victors are

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<em>here's</em><em> your</em><em> solution</em>

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Read 2 more answers

Solve. 3x2 − 6x = 24 A) x = 2, x = 4 B) x = 3, x = 4 C) x = −2, x = 4 D) x = −4, x = 3

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<span> 3x^2 − 6x = 24
</span>3x^2 − 6x - 24 = 0
3(x^2 - 2x - 8) = 0
3(x - 4)(x + 2) = 0
x - 4 = 0; x = 4
x + 2 =0; x = -2

answer
<span>C) x = −2, x = 4</span>

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