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kolezko [41]
3 years ago
11

Three-fourths of the tickets had been sold, and there were 420 tickets left. How many tickets were printed?

Mathematics
2 answers:
Reil [10]3 years ago
8 0

Answer:

Step-by-step explanation:

420 = 1/4 so 4/4 is 4 420s

420 x 4 = 1680

Mandarinka [93]3 years ago
5 0

Answer:

There are 1680 tickets

Step-by-step explanation:

If 3/4 of the tickets are sold

1 - 3/4 of the tickets are unsold

4/4 -3/4 = 1/4

There are 1/4 of the tickets left

There are 420 tickets left

1/4 of the tickets = 420

Multiply each side by 4

4*1/4 tickets = 4*420

tickets = 1680

There are 1680 tickets

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How many positive integers less than or equal to 100 have a prime factor that is greater than 4?
Aleks [24]

Answer:

97, 89, 83, 73, 71, 67, 61, 59, 53, 47,94,43,86, 41, 82, 37,74, 31,62,93, 29,58,87, 23,46,69, 92, 19, 38,57,76,95, 17,34,51,68,85, 13,26,39,52,65,78,91, 11,22,33,44,55,66,77,88,99, 7,14,21,28,35,42,49,56,63,70,77,84,91,98,

5,10,15,20,25,30,40,45,50,60,75

Step-by-step explanation:

We have to find the  positive integers less than or equal to 100 have a prime factor that is greater than 4

First let us find out the prime factors greater than 4 and less than 100

They are

5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.

Let us start from the highest.

Greatest is 97, next 89, 83, 73, 71, 67, 61, 59, 53, 47,94, 43,86, 41, 82, 37,74, 31,62,93, 29,58,87, 23,46,69, 92, 19, 38,57,76,95, 17,34,51,68,85, 13,26,39,52,65,78,91, 11,22,33,44,55,66,77,88,99, 7,14,21,28,35,42,49,56,63,70,77,84,91,98, 5,10,15,20....100

i.e. we consider each prime number and write its multiples also below 100

Now let us remove the repititions.

The answer would be

97, 89, 83, 73, 71, 67, 61, 59, 53, 47,94,43,86, 41, 82, 37,74, 31,62,93, 29,58,87, 23,46,69, 92, 19, 38,57,76,95, 17,34,51,68,85, 13,26,39,52,65,78,91, 11,22,33,44,55,66,77,88,99, 7,14,21,28,35,42,49,56,63,70,77,84,91,98,

5,10,15,20,25,30,40,45,50,60,75

3 0
3 years ago
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