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Archy [21]
2 years ago
9

Why is the product of two rational numbers always rational? select from the drop-down menus to correctly complete the proof?

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
6 0

Getting the product of two rationals is like multiplying two fractions, which will have another fraction of this alike form as the result because integers are sealed under multiplication. All rational number can be signified as q/r, with q and r are both integers. Another explanation is the product of two rational numbers is q/r * s/t, with q, r, s, and t are integers. Nonetheless, this is just (qs)/(rt), and qs and rt are both results of integers and hence integers themselves. The product of two rational numbers can be characterized as the quotient of two integers and is itself rational. Therefore, multiplying two rational numbers yields another rational number.

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Kelly rolls two number cubes 50 times. After each roll, she records whether the number on
lukranit [14]

Answer:

480

Step-by-step explanation:

first add the numbers in the table together and put the total as a denominator in a fraction then the amount of times 2 odd numbers appeared as the numerator then put another fraction with 2,000 as the denominator and divide 2,000 by the total then multiply the numerator by that answer to get the correct answer

5 0
2 years ago
Read 2 more answers
A cashier has a total of 30 bills consisting of ones, fives and twenties. the number of twenties is 5 less than the number of on
Varvara68 [4.7K]

Let us say that:

a = ones

b = fives

c = twenties

 

So that the total money is:

1 * a + 5 * b + 20 * c = 229

=> a + 5b + 20c = 229                                       --> eqtn 1

 

We are also given that:

c = a – 5                                                                --> eqtn 2

a + b + c = 30                                                      --> eqtn 3

 

Rewriting eqtn 3 in terms of b:

b = 30 – a – c

Plugging in eqtn 2 into this:

b = 30 – a – (a – 5)

b = 35 – 2a                                                           --> eqtn 4

 

Plugging in eqtn 2 and 4 into eqtn 1:

a + 5(35 – 2a) + 20(a – 5) = 229

a + 175 – 10a + 20a – 100 = 229

11a = 154

a = 14

 

So,

b = 35 – 2a = 7

c = a – 5 = 9

 

Therefore there are 14 ones, 7 fives, and 9 twenties.

7 0
3 years ago
Tara has 3 over 4 cup of ice cream. How many 1 over 5 -cup servings are in 3 over 4 cup of ice cream?
qwelly [4]

Answer:

0.15 cup servings

Step-by-step explanation:

sorry if its wrong idk

8 0
3 years ago
Jack is selling wristbands and headbands to earn money for camp. He earns $2 for each wristband and $3 for each headband. He wan
Oksi-84 [34.3K]
Your answer will most likely be a.
5 0
2 years ago
Read 2 more answers
Caleb spent 34.95 on 5 pounds of coffee. how much was the coffee per pound?
horsena [70]
It would be $6.99. All you have to do is divide the total (34.95) by pounds of coffee (5). 34.95 / 5 will give you 6.99! You can check this by doing 6.99 * 5, which would again give you 34.95. Contact me if you need any more help. :^)
4 0
3 years ago
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