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sattari [20]
3 years ago
6

Write 3.242424... as a mixed number.

Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

3\frac{8}{33}

Step-by-step explanation:

3.242424.....

This number can be written as 3  + 0.242424....

We convert the decimal part into fraction

Let x= 0.242424......

Multiply both sides by 100

100x = 24.2424....

     x=     0.2424.....

------------------------------------- (subtract  it)

99x = 24

Divide both sides by 99

So x= 24/ 99

simplify the fraction

\frac{24}{99} =\frac{8}{33}

3.242424... can be written as 3  + 0.242424....

Replace the fraction for decimal

So final answer is 3\frac{8}{33}


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The answer is B because the first number in those points don’t repeat but all the other ones have the first number repeating
8 0
3 years ago
Which function below is the inverse of f(x)= 7x-1/2
Keith_Richards [23]

Answer: f^{-1}(x)=\frac{x}{7}+\frac{1}{14}

Step-by-step explanation:

If we have y=7x-1/2, the inverse is where we solve for x instead of y.

We can isolate x to get 7x=y+1/2, then divide by 7 to get x=y/7+1/14.

Therefore, f^{-1}(x)=\frac{x}{7}+\frac{1}{14}.

Hope that helped,

-sirswagger21

8 0
3 years ago
2. Which of the following equations are perpendicular to 2y = -3x + 1 I. II. III. y=-x-1 - 2x + 3y = -5 2x + 3y = 2 (A) I only (
Novay_Z [31]

The equation in given as ;

2y = -3x + 1

This can be written as ;

y= -3/2 x + 1/2

This means the equation has a gradient of -3/2

Let this slope , be , ---------m1

For perperdicular lines , the product of their slopes = -1 .This means if the other line has a gradient of m2 then : m1 * m2 = -1

So from the answers :

i) y= 2/3 x - 1 the slope is 2/3

m2 = 2/3

m1 * m2 = -1 -------check the if this is true by using the two values of gradient as;

-3/2 * 2/3 = - 1 ------ This is true-----equation i

II.

-2x + 3y = -5

3y = 2x -5

y= 2/3 x -5/3 -----m2 here is 2/3

m1*m2 = -1

-3/2 * 2/3 = -1 -----this is true , so ----equation ii

iii)

2x + 3y = 2

3y = -2x + 2

y= -2/3 x + 2/3 -----m2 = -2/3

m1*m2 = -1

-3/2 * -2/3 = 1 -----this is not true,,,equation iii is not perpendicular to our equation.

so, equation i and ii are perpendicular to our equation .

Answer : B i and ii only

4 0
1 year ago
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Kisachek [45]

Answer:xxwy

Step-by-step explanation:

By by 2

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3 years ago
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