The Quotient of two Rational Numbers is a Rational Number if and only if Numerator and Denominator are Multiples.
From Algebra, we know that a Rational Number is a Real Number of the form:
, , (1)
Where:
The Quotient can be an Integer or not. In the first case, all Quotients have their equivalent Rational Numbers.
Now, if we divide a Rational Number by another Rational Number, then we have the following expression:
If is a Rational Number, then it must also an Integer and if is an Integer, then and must be Multiples of each other.
The Quotient of two Rational Numbers is a Rational Number if and only if Numerator and Denominator are Multiples.
Please see this question related to Rational Numbers: brainly.com/question/24398433
Answer:
Yes,
Step-by-step explananation
The quotient of two rational numbers is always rational, and the reason for this lies in the fact that the product of two integers is always an rational number.
Answer:
If six people all shake hands with each other, how many hand shakes were made in total?
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I assume that no two people shake hands if they've already shaken them earlier, irrespective of who initiated it.
In that case Guest 1 will shake hands with 5 others (Guest 2 to 6)
Guest 2 will shake hands with 4 others (Remember she's already shaken hands with Guest 1).
Guest 3 will shake hands with 3 others (having already shaken hands with Guest 1 and 2)
and so on.....
We end up with 5+4+3+2+1 handshakes or 15 handshakes in all!
Step-by-step explanation:
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Answer:
15 handshakes
Step-by-step explanation:
the 1st person shakes hands with 5 people
the 2nd person shakes hands with 4 people
the 3rd person shakes hands with 3 people
the 4th person shakes hands with 2 people
the 5th person shakes hands with 1 person
the 6th person shakes hands with no one
5+4+3+2+1=15
Answer:
The correct answer is B.
Step-by-step explanation:
Miguel paid 70% of the original price for the bicycle. The original price was calculated as approximately $175 by dividing the price Miguel paid ($122.50) by 70% (the remaining percentage after the 30% discount).
Miguel paid $122.50 for a bicycle which was discounted by 30%. So, the $122.50 represents the 70% of the original price (because 100% - 30% = 70%). To find out what 100% (the original price) is, we need to perform a calculation where we divide the price paid by Miguel ($122.50) by 70% (in decimal format, that's 0.70).
The formula would structure as below:
Original Price = Price Paid / Percentage of Original Price Paid
Substituting in the values provided, the equation would be:
Original Price = $122.50 / 0.70
Following through with this calculation, we find that the original price of the bicycle was approximately $175. Therefore, Miguel paid 70% of the original price, as that's the remaining percentage after the 30% discount.
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4y + 3 = 19
04
05
05.5
064
Answer:s
Step-by-step explanation: