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Grace [21]
4 years ago
10

Use multiplying by 1 to find an expression equivalent to 3/14 with a denominator of 14 y.

Mathematics
1 answer:
Soloha48 [4]4 years ago
6 0
As a matter of simplification, same/same = 1.

now, "same" could be anything whatsoever, you name it, a whole polynomial, a whole anything whatsoever.

\bf \cfrac{\sqrt{2}}{\sqrt{2}}=\cfrac{\sqrt{3}}{\sqrt{3}}=\cfrac{100000000}{100000000}=\cfrac{eggs}{eggs}=\cfrac{miles}{miles}=\cfrac{\frac{\quad \sqrt{3}}{\sqrt[5]{17}}\quad }{\frac{\sqrt{3}}{\sqrt[5]{17}}}=\cfrac{whatever}{whatever}=1

now, that said, let us use 1 in this case then ... hmmmm we simply need a "y" in the denominator, so we simply multiply the denominator AND numerator by "y", y/y  = 1 btw.

\bf \cfrac{3}{14}\cdot \cfrac{y}{y}\implies \cfrac{3y}{14y}
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a silkworm winds its cocoon out of one long silk fiber. to make silk thread, 3 to 10 of these silk fibers are unwound from their
Scorpion4ik [409]

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Possible lengths of the silk fibre 'x' are 100, 75, 60, 50 and 30 yards respectively.

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Let the length of the silk fiber = x yards.

Let the number of silk fibres = a.

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So, we get the equation,

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3 0
3 years ago
Find two consecutive numbers whose squares differ by 33
stich3 [128]

Answer:

Two consecutive numbers whose squares differ by 33 are 16 and 17

Step-by-step explanation:

lets assume first number be x

since numbers are consecutive , so other number will be x + 1

From given information in question

(x + 1)² - x² = 33

⇒ (x² + 1² + 2x)  - x² = 33       [   since (a+b)² = a² + b² + 2ab ]

⇒ x² + 1² + 2x - x² = 33

⇒ 2x + 1 = 33

⇒ 2x = 33 - 1

⇒ x = 32/2 = 16

so one number is x = 16 and other number is x + 1 = 16 + 1 = 17

lets recheck our solution

17² - 16² = 289 - 256 = 33 , And since difference is 33 , two required consecutive numbers are 16 and 17.


3 0
4 years ago
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