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miv72 [106K]
3 years ago
8

Write an expression that evaluates to true if the int associated with number_of_prizes is divisible (with no remainder) by the i

nt associated with number_of_participants. assume that the latter is not zero.
Mathematics
1 answer:
hodyreva [135]3 years ago
4 0

We need to find the expression for " number_of_prizes is divisible number_of_participants". Also there should not remain any remainder left. On in order words, we can say the reaminder we get after division is 0.

Let us assume number of Prizes are = p and

Number of participants = n.

If we divide number of Prizes by number of participants and there will be not remainder then there would be some quotient remaining and that quotent would be a whole number.

Let us assume that quotent is taken by q.

So, we can setup an expression now.

Let us rephrase the statement .

" Number of Prizes ÷ Number of participants  = quotient".

p ÷ n = q.

In fraction form we can write

p/n =q   ; n ≠ 0.


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First posible triangle:
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leg₁=12                ( 12²=144)
leg₂=5                  (5²=25)

13³=144 + 25


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Second triangle:
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Answer: cannot be side lenghts of a triangle.

third triangle:
hypotenuse=13    (13²=169)
leg₁=12                ( 12²=144)
leg₂=11                  (11²=121)

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fourth triangle:
hypotenuse=13   (13²=169)
leg₁=6                ( 6²=36)
leg₂=4                  (4²=16)

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Answer: cannot be side lenghts of a triangle.
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