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2 years ago

What is .54 repeating as a fraction

Mathematics

2 answers:

mestny [16]2 years ago

8 0

0.54 repeating as a fraction is 54/99.

When a number that is not 0.99999...(etc) repeats, you need to add a digit 9 as to the denominator for every digit on top. For example, 0.2 repeating is 2/9, 0.21 repeating is 21/99, 213 repeating is 213/999, and so on.

You can always test this with a calculator to make sure.

tankabanditka [31]2 years ago

7 0

$0.54 \\100 x=54.54 \\-x=-0.54\\ -----\\ 99x=54 \ \ /:99 \\\\x=\frac{54}{99 }\\\\x=\frac{6}{11}$

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Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)

DanielleElmas [232]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

Write the equation of a line perpendicular to y=-12x+2 going

through (0, -1)

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First, let's take a look at our provided information:-

A line $\text{y=-12x+2}$
A point (0, -1)
The line $\text{y=-12x+2}$ is perpendicular to the line that goes through (0, -1)

If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

So we take the slope of the given line, which is -12, change its sign from minus to plus:-

$\Large\textit{12}$

And now, We flip the number over:-

$\Large\text{$\displaystyle\frac{1}{12}$}$

Now that we've found the slope of the line, let's find its equation.

The first step is to write it in point-slope form as follows:-

$\longmapsto\sf{y-y_1=m(x-x_1)}$

Replace letters with numbers,

$\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}$

On simplification,

$\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}$

On further simplification,

$\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}$

Subtracting 1 on both sides,

$\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}$

$\Uparrow\texttt{Our equation in slope-intercept form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

5 0

2 years ago

Evaluate 0.035x1.02 leaving the answer in standard form

topjm [15]

Step-by-step explanation:

35 × 10^-3 × 102 × 10 ^-2

35×102 ×10^-3-2

3570× 10^-5

3.57×10^-2

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3 years ago

There are 24 pizzas. each person gets 1/3 of a pizza. how many people can be fed from the 24 pizzas?

ValentinkaMS [17]

Hello there.

There are 24 pizzas. each person gets 1/3 of a pizza. how many people can be fed from the 24 pizzas?

Answer: There are 3 thirds in a whole.
Therefore 3 people could be fed by 1 pizza.
Since there are 24 , multiply 3 by 24.
3 x 24 = 72.
The number of people that could be fed from the 24 pizzas is 72.

Hope This Helps You!
Good Luck Studying ^-^

6 0

2 years ago

PLEASE HELP HURRYYY URGENTTT

DENIUS [597]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

he graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is

Reika [66]

Answer:

The answer is 2

Step-by-step explanation:

Rate of change of function is given by :

$\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}$

For function y = 6,

rate of change =

$=\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}\\=\frac{6-6}{x_{2}-x_{1}}\\=0$

because the function is independent of x.

For function y = 2·x + 7,

rate of change =

$=\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}\\=\frac{2\cdot x_{2}+7-2\cdot x_{1}-7}{x_{2}-x_{1}}\\=\frac{2\cdot x_{2}-2\cdot x_{1}}{x_{2}-x_{1}}\\=\frac{2\cdot (x_{2}-x_{1})}{x_{2}-x_{1}}\\=2$

So, the rate of change of 2 is greater than rate of change of function 1 by 2 - 0 = 2.

8 0

3 years ago