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Elan Coil [88]
1 year ago
6

2. Write the mixed number -5(4/9) as a fraction in three different ways. Thenwrite the mixed number as a decimal.

Mathematics
1 answer:
emmasim [6.3K]1 year ago
3 0

<em>Fraction #1</em>

-5\frac{4}{9}

<em>Fraction #2</em>

-\frac{49}{9}

<em>Fraction #3</em>

-4\frac{13}{9}

<em>Fraction #4</em>

-3\frac{22}{9}

<em>Decimal:</em>

-5\frac{4}{9}\approx5.4444

Answer:

-5\frac{4}{9}

<em />

-\frac{49}{9}

<em />

-4\frac{13}{9}

<em>Decimal: 5.4444</em>

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1
svetoff [14.1K]

Answer:

1/2 ornament in an hour

Step-by-step explanation:

Given

Orna\ ments = 2

Time = 4

Required

Determine the ornaments per hour

This question implies that we calculate the unit rate.

Unit\ Rate = \frac{Orna\ ments}{Time}

Substitute values for Time and number of ornaments

Unit\ Rate = \frac{2}{4}

Unit\ Rate = \frac{1}{2}

<em>This implies that Constance can decorate 1/2 ornaments in an hour</em>

3 0
2 years ago
Jon weighs 148 lbs and hopes to gain 2 lbs a week. Matt weighs 193lbs and hopes to lose 1 lb a week. How many weeks until they w
kap26 [50]
It would take 15 weeks and they would meet at 178lbs.
6 0
3 years ago
The average number of accidents is 3 per month, what is the probability of 1 accident?
tatuchka [14]
<h2>Hello!</h2>

The answer is: 33.33%

<h2>Why?</h2>

Since we have the average number of accidents that occurs in 1 month, and it's equal to 3, we can calculate the probability of 1 accident occurs by dividing it into the average number of accidents, using the following formula:

Probability=\frac{FavorableOutcomes}{Outcomes}*100

Where,

Favorable outcomes are the occurrence of the event, for this case, it's equal to 1.

Outcomes are the possible occurrence of the event, for this case, it's equal to 3.

So, by substituting we have:

Probability=\frac{1}{3}*100

Probability=0.3333*100=33.33

So, the probability will be equal to 33.33%

Have a nice day!

7 0
3 years ago
Please help! I’ll give brainliest!:)
bearhunter [10]

Answer:

1467

Step-by-step explanation:

i know this because taking a negative number and a positive is like adding and then you subtract 144 and you get 1467

8 0
2 years ago
a port and a radar station are 2 mi apart on a straight shore running east and west. a ship leaves the port at noon traveling no
Rom4ik [11]

Answer:

The rate of change of the tracking angle is 0.05599 rad/sec

Step-by-step explanation:

Here the ship is traveling at 15 mi/hr north east and

Port to Radar station = 2 miles

Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles

Therefore the ship, port and radar makes a triangle with sides

2, 7.5 and x

The value of x is gotten from cosine rule as follows

x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04

x = 6.25 miles

By sine rule we have

\frac{sin A}{a} = \frac{sin B}{b}

Therefore,

\frac{sin 45}{6.25} = \frac{sin \alpha }{7.5}

α = Angle between radar and ship α

∴ α = 58.052

Where we put

\frac{sin 45}{6.25} = \frac{sin \alpha }{x} to get

\frac{x}{6.25} = \frac{sin \alpha }{sin 45} and differentiate to get

\frac{\frac{dx}{dt} }{6.25} = cos\alpha\frac{\frac{d\alpha }{dt}  }{sin 45}

\frac{15sin45 }{6.25cos\alpha } =\frac{d\alpha }{dt}  }= 3.208 degrees/second = 0.05599 rad/sec.

6 0
3 years ago
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