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Ostrovityanka [42]
3 years ago
15

Abbey spent 1 5/6 hours mowing the lawn, 3/4 hour trimming the hedge, and 2 2/3 hours weeding the garden. How many hours in all

did Abbey spend doing yard work?
Mathematics
1 answer:
WARRIOR [948]3 years ago
3 0

Answer:

The answer to your question is: 4 7/12 hours  

Step-by-step explanation:

Data

1 5/6 mowing the lawn

3/4 trimming the hedge

2 2/3 weeding the garden

Process

Convert mixed fractions to improper fractions

          1 5/6 = (6 + 5 ) / 6 = 11 / 6

           2 2/3 = (6 + 2) / 3 = 8 / 3

Sum the fractions

         11/6 + 8/3 + 3/4 =  ( 22 + 24 + 9) / 12

                                   = 55 / 12          

                                  = 4 7/12 hours                                  

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tatuchka [14]

The equation of the asymptote is y = 3x - 5. The correct answer is option C

<h3>What is Asymptote of an Hyperbola ?</h3>

The distance from a point and the distance to a line in hyperbola is known as asymptote. The general equation is x^{2}/ a^{2} - y^{2}/b^{2}    = 1

From the given equation of hyperbola, which is

\frac{(x - 2)^{2}}{4}  - \frac{(y - 1)^{2} }{36} = 1

The center (h , k) of the hyperbola = C(2, 1)

a = 2

b = 6

Where C = \sqrt{a^{2} + b^{2}  }

C = \sqrt{4 + 36}

C = \sqrt{40}

C = 2\sqrt{10}

The equation of the asymptote will be y - K = +/-(b/a)(x - h)

That is,

y - 1 = +/-(6/2)(x - 2)

y - 1 = +/-3(x - 2)

y - 1 = +/-3x - 6

y = +/-3x - 6 + 1

y = +/- 3x - 5

Therefore, the equation of the asymptote is y = 3x - 5.

Learn more about Asymptote here: brainly.com/question/4138300

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3 0
1 year ago
On Monday, Dalaya had $15. On Tuesday, she bought a t-shirt for $12. On Wednesday, she found $5.50 on the street. On Friday, she
charle [14.2K]

Answer:

15-12+5.5+3-8

 

Step-by-step explanation:

15-12=3

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3 0
3 years ago
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Answer:

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7 0
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Answer:

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Radius: 2km (divide diameter by two)

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Step-by-step explanation:

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