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Dima020 [189]
4 years ago
7

List all integers between −100 and 100 that are congruent to −1 modulo 25.

Mathematics
1 answer:
777dan777 [17]4 years ago
4 0

"-1 modulo 25" is "1 less than a precise multiple of 25". 
So what are the exact or precise multiples of 25 in the appropriate interval? 
It is -75, -50, -25, 0, 25, 50, 75, and 100. 
Now just subtract 1 from each of them.

So the answers are -76, -51, -26, -1, 24, 49, 74, and 99.

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Answer:

The correct answer is:

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i.e.

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Step-by-step explanation:

We have to find equivalent expression to :

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i.e.

-2\dfrac{1}{4} \div \dfrac{2}{3} = ?

We have to convert the the mixed fraction form -2\frac{1}{4} to simpler \frac{p}{q} fraction form.

Let us learn the concept first.

Mixed fraction is combination of a whole number and a fraction.

Expression of the form a\frac{b}{c} have the following understanding:

c is the divider

b is the remainder and

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To convert mixed fraction to fraction we can use the following:

a\dfrac{b}{c} = \dfrac{a \times c+b}{c}

\therefore -2\dfrac{1}{4} = -\dfrac{(2 \times 4+1)}{4} = -\dfrac{9}{4}

Hence

-2\dfrac{1}{4} \div \dfrac{2}{3} = -\dfrac{9}{4} \div \dfrac{2}{3}

i.e. the given expression is equivalent to :

Negative StartFraction 9 over 4 EndFraction divided by two-thirds

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