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pshichka [43]
3 years ago
11

If a boat goes down stream 72 milesind upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still wat

er respectively are
Mathematics
1 answer:
andre [41]3 years ago
3 0

Answer:

Speed of boat in still water = 11 miles per hour.

Step-by-step explanation:

Speed = distance / time

or

Distance= Speed * time

Let s be speed of the boat upstream and r be the speed of the river.

Then

Upstream speed=  s- r = 60/6= 10 miles per hour

Downstream speed= s+r= 72/6= 12 miles per hour

Therefore

s-r= 10--------- equation A

s+r= 12--------- equation B

Adding equation A and Eq. b

s-r= 10--------- equation A

<u>s+r= 12--------- equation B     </u>

<u>2s    = 22                             </u>

<u />

or

s= 22/2= 11 miles per hour.

Speed of boat in still water = 11 miles per hour.

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A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at
valina [46]

Answer:

P(Same)=\frac{61}{190}

Step-by-step explanation:

Given

Red = 5

White = 6

Black = 9

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

Total = 5 + 6 + 9

Total = 20

This is calculated as:

P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)

So, we have:

P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1}  + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1}  + \frac{9}{20} * \frac{9- 1}{20- 1}

P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19}  + \frac{9}{20} * \frac{8}{19}

P(Same)=\frac{20}{380} + \frac{30}{380}  + \frac{72}{380}

P(Same)=\frac{20+30+72}{380}

P(Same)=\frac{122}{380}

P(Same)=\frac{61}{190}

4 0
3 years ago
Jack biked to his friend house at a speed of 10 mph. When he was returning home it was raining. So he biked much slower - at 6 m
AVprozaik [17]

Answer:

  7.5

Step-by-step explanation:

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

  time = distance/speed

If distance is "1 round trip", then the time going is ...

  going = 0.5/(10 mi/h) . . . . for 1/2 round trip

and the time coming is ...

  coming = 0.5/(6 mi/h)

Then the average speed for the full round trip is ...

  speed = distance/time

  average speed = 1/(going + coming) = 1/(0.5/10 +0.5/6) mi/h

  = 1/((3+5)/60) mi/h

  = 60/8 mi/h = 7.5 mi/h

Jack's average speed for the round trip was 7.5 mph.

7 0
3 years ago
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Marta_Voda [28]

Answer:

where is the question

Step-by-step explanation:

5 0
3 years ago
if a parabola has its vertex at (3,-5) and one of its x-intercepts at x=9, what is the other x-intercept?
Flauer [41]
The other x intercept is
3 0
3 years ago
Select the true statement. A. Neither function is even. B. Only function f is even. C. Only function g is even. D. Both function
astraxan [27]

Answer:

The answer is "Option C".

Step-by-step explanation:

The graph of the even function will have both ends pointed in the same direction, while the graph of the odd function will have both ends pointed inside the reverse way. Furthermore, as the y-axis approaches, and also regular expression graph becomes symmetric. The graph of an unusual function, on either hand, is symmetric around the origin and also has rotational symmetry around the origin. They could see that the graph of function g meets a function requirement by looking at it. That graph of function f, but on the other hand, is not symmetric about its y-axis, implying that function f is not even. As both a result, g is a function that is even.

5 0
3 years ago
Read 2 more answers
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