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2 years ago

Write 0.424242… as a fraction in simplest form

Mathematics

1 answer:

Maurinko [17]2 years ago

6 0

Answer:

14/33

Step-by-step explanation:

To write 0.424242 as a fraction you have to write 0.424242 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.424242 = 0.424242/1 = 4.24242/10 = 42.4242/100 = 424.242/1000 = 4242.42/10000 = 42424.2/100000 = 424242/1000000

".424242" was replaced by "(424242/1000000)".

simplified = 212121 /500000

then i went online and got the 212121 /500000 simplified and it gave me 14/33

i hope this helps :)

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sleet_krkn [62]

For this case we have the following system of equations:

$y = -4x-23\\-4x-3y = 13$

We solve by the substitution method:

We substitute the first equation in the second equation:

$-4x-3 (-4x-23) = 13$

We apply distributive property considering that $- * - = +:$

$-4x + 12x + 69 = 13\\8x + 69 = 13$

We subtract 69 from both sides of the equation:

$8x = 13-69\\8x = -56$

We divide by 8 on both sides of the equation:

$x = \frac {-56} {8}\\x = -7$

We look for the value of the variable y:

$y = -4 (-7) -23\\y = 28-23\\y = 5$

Thus, the solution of the system is $(x, y): (-7,5)$

Answer:

$(x, y): (-7,5)$

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The sum of two consecutive even numbers is 38. What is the smaller number?

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viktelen [127]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

(x-2)^3+13=-112<br> <img src="https://tex.z-dn.net/?f=%28x-2%29%5E3%2B13%3D-112" id="TexFormula1" title="(x-2)^3+13=-112" alt="(

yKpoI14uk [10]

Answer:

x = -3

Step-by-step explanation:

(x - 2)^3 + 13 = -112

Subtract 13 from both sides

(x - 2)^3 = -125

Take the cube root of both sides

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Add 2 to both sides

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3 years ago

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zmey [24]

Answer:

(- 2, 6 )

Step-by-step explanation:

Given the equations

3x + 2y = 6 → (1)

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2y - 3x = 18 ( add 3x to both sides )

2y = 18 + 3x → (2)

Substitute 2y = 18 + 3x into (1)

3x + 18 + 3x = 6

6x + 18 = 6 ( subtract 18 from both sides )

6x = - 12 ( divide both sides by 6 )

x = - 2

Substitute x = - 2 into (1) and solve for y

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