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Gnoma [55]
3 years ago
12

5 1/3 times x=2/3 What is x?

Mathematics
2 answers:
Alla [95]3 years ago
7 0
I think the answer would be the 0.039.
Artist 52 [7]3 years ago
3 0
The answer is 3.5 repeating.
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Can 3.65909090909 be expressed as a fraction whose denominator is a power of 10? Explain.
GuDViN [60]
\bf 3.659\textit{ can also be written as }\cfrac{3659}{1000}\textit{ therefore }3.6590909\overline{09}\\\\
\textit{can be written as }\cfrac{3659.0909\overline{09}}{1000}

notice above, all we did, was isolate the "recurring part" to the right of the decimal point, so the repeating 09, ended up on the right of it.

now, let's say, "x" is a variable whose value is the recurring part, therefore then

\bf \cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \qquad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}

now, the idea behind the recurring part is that, we then, once we have it all to the right of the dot, we multiply it by some power of 10, so that it moves it "once" to the left of it, well, the recurring part is 09, is two digits, so let's multiply it by 100 then, 

\bf \begin{array}{llllllll}
100x&=&09.0909\overline{09}\\
&&9+0.0909\overline{09}\\
&&9+x
\end{array}\quad \implies 100x=9+x\implies 99x=9
\\\\\\
x=\cfrac{9}{99}\implies \boxed{x=\cfrac{1}{11}}\\\\
-------------------------------\\\\
\cfrac{3659.0909\overline{09}}{1000}\qquad \boxed{x=0.0909\overline{09}} \quad \cfrac{3659+0.0909\overline{09}}{1000}\implies \cfrac{3659+x}{1000}
\\\\\\
\cfrac{3659+\frac{1}{11}}{1000}

and you can check that in your calculator.
8 0
3 years ago
(50 POINTS) Express each sum using summation notation.
vesna_86 [32]

14: a

1

=

39

/2                              0.25               313%        16%

15:     54

4 0
2 years ago
What 3/16 turned into a decimal and 5/48 turned into a decimal
Ira Lisetskai [31]
A way to do it is like this. Numerator divided by denominator so 3 divided by 16 which is .187.

5 divided by 48 is .0146      with the six repeating
7 0
2 years ago
Read 2 more answers
Mr. Win owns a toy store. He wants to display 12 new motion toys in the store window. Each toy uses 3 batteries. If N represents
Assoli18 [71]

Answer: See explanation

Step-by-step explanation:

You didn't state the sentences but let me help out based on the information given.

Number of new motion toys = 12

Number of batteries used by each toy = 3

Since N represents the total number of batteries he need, the value of N will be:

= Number of toys × Number of batteries used by each toy

= 12 × 3

= 36

That means N equals 36.

7 0
3 years ago
Find the product for this problem <br> 1.<br> 257<br> x 50
Reptile [31]

Answer:

The answer to this is 12850

Step-by-step explanation:

<h2>Also check out our you tube channel about math called <em>Evimero Academy</em></h2>

<em />

<em />

<h3><u><em>thank you</em></u></h3>
3 0
3 years ago
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