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mamaluj [8]
2 years ago
6

Divide the fractions and simplify the answer 60 / 2 2/3

Mathematics
2 answers:
balu736 [363]2 years ago
6 0
2 2/3 as a decimal is 2.66666667. 60 divided by 2.66666667 is 22.5.
As a fraction, the answer will be 22 5/10

Please mark my answer as the brainliest answer, I'd really appreciate it, thanks!
ElenaW [278]2 years ago
3 0
Hey there, make 60 a fraction, 60=60/1, 2 2/3 as an improper fraction is 8/3. Now, we have 60/1÷8/3, change the ÷ sign into a × sign. Flip 8/3 into 3/8, now we have 60/1×3/8. 60×3=180 and 1×8=8. Now, we have a fraction of 180/8. Then, we simplify 180/8. The GCF of 180 and 8 is 4 so we divide by 4, 180÷4=45 and 8÷4=2, So, 180/8 simplified is 45/2, 45 is bigger than 2 so we make 45/2 as a mixed number, 45/2 as a mixed number is 22 1/2. Therefore, 60 ÷ 2 2/3 = 22 1/2
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Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *
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Answer:

The answer to your question is   \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1          

Step-by-step explanation:

Data

Foci  (-2, 2)  (4, 2)

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Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

                  2c = 6

                    c = 6/2

                    c = 3

3.- Determine a

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                    a = 10/2

                    a = 5

4.- Determine b using the Pythagorean theorem

                   a² = b² + c²

-Solve for b

                   b² = a² - c²

                   b² = 5² - 3²

                   b² = 25 - 9

                   b² = 16

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5.- Find the center (1, 2)  From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

                      \frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1

                       \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1                

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Step-by-step explanation:

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