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Brilliant_brown [7]
3 years ago
7

How many three-digit numbers are divisible by 2,3 or 5?

Mathematics
1 answer:
MatroZZZ [7]3 years ago
8 0

Answer:

764 numbers

Step-by-step explanation:

Number of multiples of 2: is 2x50–2x499 which is 450 numbers.

Number of multiples of 3: 3x34–3x333 is 300 numbers

Multiples of 5: 5x20–5x199 is 180 numbers

Multiples of 2x3 or 6: 6x17–6x62 or 46 numbers.

Multiples of 3x5 or 15: 15x7–15x66 or 60

numbers.

Multiples of 2x5 or 10: 10x10–10x99 or 90 numbers.

Multiples of 2x3x5 or 30: 30x4–30x33 or 30 numbers.

450+300+180–46–60–90+30=

764 numbers.

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Step-by-step explanation:

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1.  You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.  

 

2.  For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:

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