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4vir4ik [10]
3 years ago
8

Convert 0.533333... to a fraction. (only the 3 is repeating) Please show the work!!

Mathematics
1 answer:
amm18123 years ago
6 0
<span>Let x = 0.5333333333 ...

So 100x = 53.3333333333 ...
and 10x = 5.3333333333 ...
---------------------------------
90x = 53 – 5 = 48.

So x = 48/90 = 8/15 after reduction to lowest terms (by factor of 6)
0.3333... = ⅓. and that 0.5 = ½.

So 0.533333... = 0.5 + 0.0333333...0.5 + 0.3333.../10 = 1/2 + (1/3)/10 = 1/2 + 1/30 = 16/30 = 8/15</span>
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Ella grew 3 over 4 of an inch last year. Ben grew 2 over 3 of an inch last year. How much more did Ella grow than Ben last year?
IrinaK [193]

Answer:

Ella grew \frac{1}{12} of an inch more

Step-by-step explanation:

For this problem, you want to subtract Ben's growth from Ella's.

This expression would be \frac{3}{4}-\frac{2}{3}.

To work these out, they must have the same denominator (which should be the lowest common multiple or LCM).

In this case, the LCM is 12, so you want to multiply each side so the denominator is 12. This means the first fraction should be multiplied by \frac{3}{3} and the second by \frac{4}{4}.

This makes the expression \frac{9}{12}-\frac{8}{12}, which equals \frac{1}{12}.

**This content involves adding and subtracting fractions, which you may want to revise. I'm always happy to help!

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3 years ago
Which unit would you use to measure the height of a birds
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3 years ago
Michael works 30 hours per week and makes $15.00 per hour. How much does he make in a 4-week month?
Wewaii [24]

Answer:

$1,800

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4 0
2 years ago
Questions, are all in picture, please solve
Andrews [41]

The function represents a <em>cosine</em> graph with axis at y = - 1, period of 6, and amplitude of 2.5.

<h3>How to analyze sinusoidal functions</h3>

In this question we have a <em>sinusoidal</em> function, of which we are supposed to find the following variables based on given picture:

  1. Equation of the axis - Horizontal that represents the mean of the bounds of the function.
  2. Period - Horizontal distance needed between two maxima or two minima.
  3. Amplitude - Mean of the difference of the bounds of the function.
  4. Type of sinusoidal function - The function represents either a sine or a cosine if and only if trigonometric function is continuous and bounded between - 1 and 1.

Then, we have the following results:

  1. Equation of the axis: y = - 1
  2. Period: 6
  3. Amplitude: 2.5
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    cos θ = sin (θ + π/2)

To learn more on sinusoidal functions: brainly.com/question/12060967

#SPJ1

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