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Sedaia [141]
3 years ago
9

Why is the sum of two rational numbers always rational? Select from the drop-down menus to correctly complete the proof.

Mathematics
2 answers:
baherus [9]3 years ago
8 0

when adding you always get a rational number because you never go outside the bounds of reality XD

ValentinkaMS [17]3 years ago
3 0

Answer:

Step-by-step explanation:

The complete question is:

Why is the product of two rational numbers always rational? Select from the  Bold words to correctly complete the proof.

Let ab and cd represent two rational numbers. This means a, b, c, and d are (Integers or irrational numbers), and (b is not 0, d is not 0 or b and d are 0). The product of the numbers is acbd, where bd is not 0. Because integers are closed under (addition or multiplication), ​acbd ​ is the ratio of two integers, making it a rational number.

The correct paragraph would be:

Let \frac{a}{b} and \frac{c}{d} represent two rational numbers. This means a, b, c, and d are integers<u><em> </em></u><u><em>(because rational numbers are formed by integers, we could say that they are the ratio between two integers)</em></u>, and b is not 0 and d is not 0 <em><u>(b and d can't be zeros, because they are denominator, and a rational number with zero denominator is undefined or undetermined, infinite would say)</u></em>. The product of the numbers is \frac{a}{b} \times \frac{c}{d}, where bd is not 0. Because integers are closed under multiplication <em><u>(the product of two rational numbers actually is defined as the close up of two integers multiplication, numerators with numerators and denominator with denominator, and always the denominator product cannot be zero),</u></em> ​acbd ​ is the ratio of two integers, making it a rational number.

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A truck that can carry no more than 6500 lb is being used to transport refrigerators and upright pianos. Each refrigerator weigh
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Answer:

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An equation that works: 300(10)+425(8)=

Step-by-step explanation:

If each refrigerator is 300 pounds and we need to see if 11 would fit on the truck, multiply 300 times 11 which equals 3,300. Next repeat the same step but for the pianos… 425 times 9 which equals 3,825 now you add. You should get 7,125, meaning this ratio is way to large for the truck to carry.

Since this does not work we should try take away one of each. So let’s say the new rati is 10 refrigerators to 8 pianos. We would repeat the same steps from above. 10x300=3,000       8x425=3,400

If we add these, we get 6,400 so the final expression would be 300(10)+425(8)=6,400 which would be the closest the the most you can transport on the truck.

Sorry if this was not the answer you were looking for, I may have misinterpreted the question.

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