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Fed [463]
3 years ago
8

Convert 5.764764764... to a rational expression in the form of a/b where b ≠ 0.

Mathematics
1 answer:
Vladimir [108]3 years ago
7 0
5.764764764....=5.(764)-in\ European\ mathematics\\\\5.764764764....=5.\overline{764}-in\ US\ mathematics\\\\subtitute:\\\\x=5.(764)\ \ \ \ |multiply\ both\ sides\ by\ 1000\\\\1000x=5764.(764)\\\\
let's\ make\ a\ difference\ 1000x-x\ therefore\ we\ have\ the\ equation:\\\\1000x-x=5764.(764)-5.(764)\\\\999x=5759\ \ \ \ \ |divide\ both\ sides\ by\ 999\\\\\boxed{x=\frac{5759}{999}}

So...\ we\ have\ answer:\\\\\boxed{5.764764764...=\frac{5759}{999}}
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Kimberly downloaded 246 pictures from her cell phone to her computer. These pictures took up 738 megabytes of space on her compu
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Answer:

tons of megabytes

Step-by-step explanation:

6 0
3 years ago
Graph the function defined by the parametric equations x = 2t3 – 3t and y = -2t2 – 1 over the parameter
den301095 [7]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator does this nicely.

4 0
2 years ago
Two friends Vicky and Micky start a business together. They decided to share their capitals depending up on the variable expendi
elixir [45]

Answer:

a- x = 5/3, or x = -7/2

b- 675

c - 5·x + 2

Step-by-step explanation:

The polynomial representing the capital of the two partners = 6·x² + 11·x - 35

a. The total share is the capital of the two partners together = 6·x² + 11·x - 35

∴ When their total share is equal to 0, we have;

6·x² + 11·x - 35 = 0

Factorizing the above equation with a graphing calculator gives;

(3·x - 5)·(2·x + 7)

Therefore;

x = 5/3, or x = -7/2

b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;

When x = 10

6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675

The total expenditure of Vicky and Micky when x = 10 is 675

c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2

7 0
2 years ago
Clara created a coordinate grid of her city. The bowling alley is located at (10, 12) and the skating rink is located at (-6, -4
yulyashka [42]

First we need to know the coordinates of the movie theater, we can do this applying the midpoint formula:

\begin{gathered} P(BA,SR)=(\frac{10-6}{2},\frac{12-4}{2})\text{ = (}\frac{4}{2},\frac{8}{2}) \\ \Rightarrow P(BA,SR)=(2,4) \end{gathered}

We have that the movie theater is located at (2,4). Now we use this coordinates to find the location of Clara's house using again the midpoint formula:

\begin{gathered} P(MT,SR)=(\frac{-6+2}{2},\frac{4-4}{2})=(-\frac{4}{2},0) \\ \Rightarrow P(MT,SR)=(-2,0) \end{gathered}

Therefore, Clara's house is located at (-2,0)

6 0
1 year ago
I do not understand this Can you please help.
Marrrta [24]

Answer: 1.7 is the answer hope this helps.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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