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Anon25 [30]
3 years ago
6

5.76

Mathematics
1 answer:
Leto [7]3 years ago
8 0

Answer:

the correct order of these from greatest to least is. 228, 35, 5.76

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A boat covers 25 km upstream and 44 km downstream in t hours. Also, it covers 15 km upstream and 22 km downstream in 5 hours. Fi
aniked [119]

9514 1404 393

Answer:

  boat speed: (7t -95)/(6t² -110t +500)

  stream speed: (37t -345)/(6t² -110t +500)

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance/speed

The boat speed (b) is added to the stream speed (s) going downstream. The stream speed is subtracted going upstream. The given relations tell us ...

  25/(b-s) +44/(b+s) = t

  15/(b-s) +22/(b+s) = 5

This gives us 2 equations in 3 unknowns, so we can only provide a solution in terms of one of the unknowns. Since we are asked for the speeds, they will be provided in terms of t.

Subtracting the first equation from 2 times the second gives ...

  2(15/(b-s) +22/(b+s)) -(25/(b-s) +44/(b+s)) = 2(5) -(t)

  5/(b-s) = 10 -t

  5/(10 -t) = b -s

Substituting for b-s in the second equation gives ...

  15/(5/(10-t)) +22/(b+s) = 5

  30 -3t +22/(b+s) = 5

  22/(b+s) = 3t -25

  22/(3t -25) = b+s

Adding the equations for the sum and difference of speeds, we get ...

  (b-s) +(b+s) = 5/(10-t) +22/(3t -25)

  2b = (5(3t -25) +22(10 -t))/((10-t)(3t-25)) = (95 -7t)/((10-t)(3t-25))

  b = (7t -95)/(6t² -110t +500)

Subtracting the equations for sum and difference of speeds, we get ...

  (b+s) -(b-s) = 22/(3t -25) -5/(10 -t)

  2s = (22(10-t) -5(3t -25))/((10-t)(3t-25))

 s = (37t -345)/(6t² -110t +500)

__

The speed of the boat in still water is (7t -95)/(6t² -110t +500) km/h.

The speed of the stream is (37t -345)/(6t² -110t +500) km/h.

__

Note that these solutions only make sense for values of t between 25/3 and 345/37, approximately 8.33 < t < 9.32. For t=9 hours, the boat speed is 8 km/h and the stream speed is 3 km/h.

7 0
3 years ago
Read 2 more answers
X = 3y +9 <br>2x – 3y = 9<br>help plz​
Dominik [7]

Answer:

Their are caculators online search the type of math it is then put caculator for example exponents caculator

Step-by-step explanation:

6 0
3 years ago
If f(x) = 8x + 9, each time x increases by 1 unit, f(x) increases by<br> units.
alexira [117]
7 Units.

8(1)+9= 17
8(2)+9=25
8(3)+9=33

33-25=7. 25-17=7
3 0
3 years ago
The factory used to produce 126 articles a day. As a result of retooling, production increased to 189 articles a day. What was t
NARA [144]

Answer: The answer is 50%.


Step-by-step explanation:  Given that the factory produces 126 articles in a day. After retooling, the production of the articles increased and they started producing 189 articles in a day. We need to calculate the percent increase in labour productivity.

We have,

Percent Increase in labour productivity will be equal to the percent increase in the number of articles.

Increase in the number of articles after retooling = 189 - 126 = 63.

Therefore, percent increase in the number of articles is given by

p=\dfrac{63}{126}\times 100\%=\dfrac{100}{2}\%=50\%.

Thus, the labour productivity increased by 50%.

8 0
3 years ago
I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT
Ulleksa [173]

A triangle is rotated around N to give the primed version.


A. Same shape and size -- TRUE.  Rotation doesn't change shape or size.

B. Corresponding points are equidistant to N.  That's TRUE, each point is rotated around N to get its corresponding point, which will be the same distance from N.

C. DN=D'N.  TRUE, just an example of corresponding points.

D. Corresponding side lengths unequal, FALSE.  Rotation doesn't change lengths.



7 0
3 years ago
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