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olchik [2.2K]
3 years ago
14

Help me pleaseeeeeeeeeeeeee

Mathematics
2 answers:
adelina 88 [10]3 years ago
5 0

Answer:

\frac{2}{27}

Step-by-step explanation:

1) Use this rule: \frac{a}{b} *\frac{c}{d} =\frac{ac}{bd }

\frac{2*1}{9*3}

2) Simplfiy 2 · 1 to 2.

\frac{2}{9*3}

3) Simplify 9 · 3 to 27.

\frac{2}{27}

larisa [96]3 years ago
3 0

Answer:

the least common denominator is. 9

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4171/5000

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Step-by-step explanation:

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2 years ago
Divid 15 into two parts such that the sum of their reciprocal is 3/10
Klio2033 [76]
From the information obtained from the question, two equations can be created:
 
Let x and z be the two numbers (parts)

\frac{1}{z}   +   \frac{1}{x}  =   \frac{3}{10} .  .  .  . (1)

z  +   x  =  15  .  .  .  . (2)

By transposing (2), make 'z' the subject of the equation
z = 15 - x  .  .  .  . (3)

By substituting (3) into equation (1) to find a value for x
\frac{1}{(15 - x)} + \frac{1}{x} = \frac{3}{10}

\frac{15}{( 15 - x ) ( x )}  =   \frac{3}{10}

3 ( - x^{2}  + 15 x )  =  150

3 x^{2}  - 45x + 150 = 0

⇒  ( x - 5 )  ( x - 10 )  = 0

∴ either ( x - 5) = 0        OR    ( x - 10 ) = 0

Thus x = 5 or x = 10

By substituting the values of x into (2) to find z

     z + (5) = 15       OR      z + (10) = 15

    ⇒      z = 10      OR                 z = 5

So, the two numbers or two parts into which fifteen is divided to yield the desired results are 5 and 10.





5 0
3 years ago
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