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3 years ago

What is 0.36⎯⎯⎯⎯ expressed as a fraction in simplest form?

2 answers:

8 0

Let x equal the repeating decimal.

x = 0.363636...

Since there are two repeating digits, 36, we multiply the equation above by 100 on both sides, and write it above the equation. Then we subtract the equations.

   100x = 36.363636...
-       x =    0.363636...
--------------------------------
     99x = 36

Divide both sides by 99.

x = 36/99

Divide both the numerator and denominator by 9.

x = 4/11

Answer: 0.363636... = 4/11

Keith_Richards [23]3 years ago

6 0

The answer in simplest fraction would be 9/25

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A distribution has the five-number summary shown below. What is the range

sergey [27]

Answer:71

Step-by-step explanation:

range is the difference between the highest number and the smallest number in a group of data

Highest number=85

Smallest number=14

Range=highest number-smallest number

Range=85-14

Range=71

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2 years ago

Determine the factors of 4x2 5x − 6 a(4x − 2)(x 3) b(4x − 3)(x 2) c (4x − 6)(x 1) d(4x − 1)(x 6)

Lelu [443]

4x^2 + 5x - 6 = (4x - 3) (x + 2)

You can do it by using the quadratic function to solve 4x^2 + 5x - 6 = 0; the result will be x = 3/4 and x = -2

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When you develop x - 3/4 = 0 you get 4x -3 = 0, which means that 4x - 3 is a factor. The other factor is directly x + 2.

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2 years ago

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Identify each expression with a sum of x2 + 3x +1.

Yuki888 [10]

Answer:

There are no like terms.

Step-by-step explanation:

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2 years ago

Find the equation of the tangent of x^2- xy + y^2 =7 at (-1, 2)

Citrus2011 [14]

Answer:

It is 3y = 4x + 10

Step-by-step explanation:

Let's first get the slope of the curve.

[ slope is the derivative of the equation ]

${x}^{2} - xy + {y}^{2} = 7$

introduce dy/dx :

$\frac{d}{dx} ( {x}^{2} - xy + {y}^{2} ) = \frac{d}{dx} (7) \\ \\ 2x - (y + \frac{dy}{dx} ) + 2y \frac{dy}{dx} = 0$

make dy/dx the subject:

$2x - y - \frac{dy}{dx} + 2y \frac{dy}{dx} = 0 \\ \\ 2y \frac{dy}{dx} - \frac{dy}{dx} = y - 2x \\ \\ \frac{dy}{dx} (2y - 1) = y - 2x \\ \\ \frac{dy}{dx} = \frac{y - 2x}{2y - 1}$