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Marina86 [1]
3 years ago
14

2/3 + (-5/6) - (-1/2)

Mathematics
1 answer:
mart [117]3 years ago
8 0

The answer would be 0.03
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Complete the table by converting each decimal to a fraction.
AlekseyPX

if you've read those links already, you'd know what we're doing here.

we'll move the repeating part to the left-side of the dot, by multiplying by "1" and as many zeros as needed, or 10 at some power pretty much.

on 0.13 we need 100 to get 13.13.... and on 0.1234, we need 10000 to get 1234.1234....


\bf 0.\overline{13}~\hspace{10em}x=0.\overline{13}
\\\\[-0.35em]
~\dotfill\\\\
\begin{array}{|lll|ll}
\cline{1-3}
&&\\
100\cdot 0.\overline{13}& = & 13.\overline{13}\\
100\cdot x&& 13 + 0.\overline{13}\\
100x&&13+x
\\&&\\
\cline{1-3}
\end{array}\implies \begin{array}{llll}
100x=13+x\implies 99x=13
\\\\
x=\cfrac{13}{99}
\end{array}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
0.\overline{1234}~\hspace{10em}x=0.\overline{1234}
\\\\[-0.35em]
~\dotfill


\bf \begin{array}{|ccc|ll}
\cline{1-3}
&&\\
10000\cdot 0.\overline{1234}&=&1234.\overline{1234}\\
10000\cdot x&=&1234+0.\overline{1234}\\
10000x&=&1234+x
\\&&\\
\cline{1-3}
\end{array}\implies \begin{array}{llll}
10000x=1234+x
\\\\
9999x=1234\implies x=\cfrac{1234}{9999}
\end{array}

7 0
3 years ago
Read 2 more answers
(03.07 LC)
Shtirlitz [24]
X = 8.

We know this since the line in question is vertical, so we automatically know it will be x (vertical lines can only pass through the x axis, because the y axis is already vertical).

Vertical lines will pass through only 1 x-coordinate, but they pass every point on the y-axis, since they infinitely go up and down (which, we already said, is the y-axis).



3 0
3 years ago
Read 2 more answers
A Light Rail ticket in Baltimore for a one-way trip costs $1.60. Would it have been a better deal for Mr. K to buy the day pass
pav-90 [236]

Answer:

no, three one way tickets are cheaper by 0.40 cents

Step-by-step explanation:

A Light Rail ticket in Baltimore for a one-way trip costs $1.60. Would it have been a better deal for Mr. K to buy the day pass at $5.20 if he needed to make 3 one way trips?

My explanation; 1.60+1.60= 3.20+1.60=4.80. so three one way trips will equal out to be 4.80, while a day pass is 5.20.

8 0
3 years ago
5. What is the equation in slope-intercept form for the graph of the line shown?
zhuklara [117]

Answer:

5. \: y =  - 2x - 1 \\ 6. \: y - 4 = 3(x + 2) \\ 7. \: the \: cost \: to \: rent \: the \: game \: center

3 0
3 years ago
Simplify this expression 3x^2 y^2/24x
maksim [4K]
The answer would be  (1/8) (xy ^ 2).
Equation: 
3x ^ 2 y ^ 2 / 24x

 =(3/24) (x ^ 2 y ^ 2 / x)
SO simplify it is
= (1/8) (xy ^ 2)

 
The simplified expression for this case is given by:
 
(1/8) (xy ^ 2)
4 0
3 years ago
Read 2 more answers
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