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Rina8888 [55]
3 years ago
11

the band knows 45. song. it play 12 songs in the first set, 15 song in the second set, and 11 songs in the last set. if no songs

were repeated, how many songs does the band know that it didn't play​
Mathematics
2 answers:
olga_2 [115]3 years ago
8 0
Your answer would be 7 songs
Dennis_Churaev [7]3 years ago
4 0

Answer:

7 songs

Step-by-step explanation:

12+15+11 is 38

45-38 is 7.

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Makovka662 [10]

Answer: The possible digits are 2,5 and 8

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From the equation in the question, we are looking for a digit to put in the gap after 100 to make sure that when we solve the question, x will be a whole number.

Therefore, since it's a single digit required, the possible digits will be from 0 to 9.

Now, from divisibilty tests, for a number from 2 digits upwards to be divisible by 3, the sum of its digits has to be divisible by 3.

Going back to the question, let's divide each term by 3 to get ;

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Now for x to be a whole number, the value on the right hand side must be a whole number.

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Following the same addition pattern for digits 3,4,5,6,7,8and 9, we'll get sum of 4,5,6,7,8,9 and 10 respectively.

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