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jenyasd209 [6]
1 year ago
9

A Mallard duck flies 5 6 of a mile in 1 60 of a hour. Compute the unit rate by setting up a complex fraction and simplifying.

Mathematics
2 answers:
seropon [69]1 year ago
8 0
Important:  Please express fractions properly:  use the " / " symbol to represent division.  Your question should read:

"<span>A Mallard duck flies 5/6 of a mile in 1/60 of a hour.  Find the rate (speed) at which it flies."

To do this, divide the distance flown by the elapsed time:
                                    5
5/6   mile                  -----
-----------------   =  -------6------------- miles / hr
1/60   hour </span>
                                        1
                                       -----
                                         60

to divide 5/6 by 1/60,  write    5/6 and multiply that by the reciprocal of 1/60. 

In other words,   write    5/6, invert (1/60) and then multiply.

This comes out to                    (5)(60)
                                                ----------  mph
                                                  (6)(1)

Do not multiply here.  Instead, reduce 60/6 to 10/1.

Can you now write out the final answer, in mph?  (miles per hour)

Andreyy891 year ago
3 0

Answer:

50 mph

Step-by-step explanation:

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Anthony is informed that there is a 10% chance that he will be hired by the prestigious Acme corporation. He believes that, give
Korolek [52]

Answer:

8% probability that Anthony will soon be playing on the Acme golf team

Step-by-step explanation:

We have these following probabilities:

10% probability that he is hired by the corporation.

If he is hired by the corporation, an 80% probability that he will earn a spot on the golf team.

Given this information we can estimate that the likelihood that Anthony will soon be playing on the Acme golf team to be:

80% of 10%

So

P = 0.8*0.1 = 0.08

8% probability that Anthony will soon be playing on the Acme golf team

4 0
1 year ago
Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)
tigry1 [53]

Answer:

M(x,y) = (1,3) belongs to the line y = 2\cdot x +1. Please see attachment below to know the graph of the line.

Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

y=k\cdot x + b

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

k - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that b = 1, x = 1 and y = 3, then we clear slope and solve the resulting expression:

k = \frac{y-b}{x}

k = \frac{3-1}{1}

k = 2

Then, we conclude that point M(x,y) = (1,3) belongs to the line y = 2\cdot x +1, whose graph is presented below.

3 0
1 year ago
A mouse traveled a total distance of 3/24 of a mile in a maze over the past three hours the mouse travel the same distance each
alexgriva [62]

Answer:

Total distance mouse traveled in 3 hours = \frac{3}{24} of a mile

The mouse traveled the same distance in each hour. So in order to find the distance covered in 1 hour we have to divide the distance covered in 3 hours by 3. This will give us the distance that the mouse traveled in one hour.

So, the distance traveled in one hour will be = \frac{3}{24} \div 3 = \frac{3}{24} \times \frac{1}{3} =\frac{1}{24} of a mile

The error which Matt made was that he divided only the denominator of the expression by 3, this probably was a calculation error.

Correct conclusion will be: Mouse travel 1/24 of a mile each hour

8 0
2 years ago
Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below. Darius’s scores:
Bumek [7]

Answer:

Darius is correct if only the median score is considered.

Step-by-step explanation:

Darius scores are; 96, 54,120, 87, 123

arrange the scores in increasing order;

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mean = (54+87+96+120+123)/5 =480/5 =96

median =96

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mean=(92,94,96,98,110)/5 =490/5=98

median score=96

⇒if the median score only is considered; then it is a tie because the score is 96 in both players.

8 0
2 years ago
Read 2 more answers
A woman's weekly salary is increased from $350 to $380. The percent of increase is most nearly
Kay [80]

Find the amount of the difference and then divide it by the original amount:


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30 / 350 = 0.0857 = 8.6% increase.  Round the answer as needed.



3 0
2 years ago
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