Mathematics: Which statement is true? a.27/19 11/30 b.17/31 19/14 c.16/26 30/31 d.35/30 22/12 is this true 27/19 11/30

Which statement is true? a.27/19 11/30 b.17/31 19/14 - id271911301731615934, sosick90501

Ответ:

jerrygentry41471

11.03.2022

In order to check if a comparison such as this is true, you can use this logical equivalence:

$\dfrac{a}{b} \dfrac{c}{d} \iff ad bc,\quad \dfrac{a}{b} < \dfrac{c}{d} \iff ad < bc$

Anyway, it's not always necessary to make this check. We know that every proper fraction represents a number between 0 and 1, and any improper fraction represents a number greater than 1. So, every proper fraction is less than every improper fraction.

So, the first two options are surely wrong, because they ask for a proper fraction to be more than an improper fraction.

The third option compares two proper fractions, so we actually have to check:

$\dfrac{16}{26}\dfrac{30}{31} \iff 16 \cdot 31 26 \cdot 30 \iff 496 780$

which is false.

Last option:

$\dfrac{35}{30}$

Which is true.

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Ответ:

kaylabjoyner4023

22.02.2021

Mathematics

Multiply both sides of the equation by 3
2n+12=-78
move constant to the right side and change it’s sign
2n=-78-12
calculate the sum or difference
2n=-90
divide both sides of the equation by 2
n=-45

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Which statement is true? a.27/19< 11/30 b.17/31> 19/14 c.16/26> 30/31 d.35/30< 22/12 is this true 27/19< 11/30

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