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Maslowich
3 years ago
15

Write 2.75 as a mixed number and as an improper fraction. Write your answers in simplest form.

Mathematics
2 answers:
xxMikexx [17]3 years ago
8 0
Mixed number: 2 3/4
improper fraction: 11/4
ikadub [295]3 years ago
8 0

Answer:

\displaystyle\frac{11}{4} is the required improper fraction.

2\displaystyle\frac{3}{4} is the required mixed fraction.

Step-by-step explanation:

We have to write 2.75 in the form of an improper fraction and a mixed fraction.

First we write 2.75 in fractional form.

2.75 = \displaystyle\frac{275}{100}

We reduce this fraction to the lowest form.

2.75 =\displaystyle\frac{275}{100} = \displaystyle\frac{275\div 25}{100\div 25} = \displaystyle\frac{11}{4}

\displaystyle\frac{11}{4} is the required improper fraction.

Now, we will convert this improper fraction into mixed fraction.

\displaystyle\frac{11}{4} = \displaystyle\frac{8+3}{4} = 2\displaystyle\frac{3}{4}

2\displaystyle\frac{3}{4} is the required mixed fraction.

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an ellipse has a center at the origin , a vertex along the major axis at (13,0), and a focus at (12,0). What is the equation of
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The answer to your question is below

Step-by-step explanation:

Data

Center = (0, 0)

Vertex = (13, 0)

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Process

From the data we know that it is a horizontal ellipse.

1.- Calculate "a", the distance from the center to the vertex.

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2.- Calculate "c", the distance from the center to the focus

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3.- Calculate b

Use the Pythagorean theorem to find it

                  a² = b² + c²

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-Substitution

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-Simplification

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4.- Find the equation of the ellipse

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