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stira [4]
3 years ago
15

During the first two hours of a 4-h trip, the force of the wind causes a sailboat to travel 68 km. During the next two hours, th

e wind speed changes. The boat sails 3 km in the next hour and 25 km in the last hour. What was the boat's AVERAGE speed?
Mathematics
1 answer:
mezya [45]3 years ago
5 0

Answer:

24 km/hr

Step-by-step explanation:

Speed is the rate of distance traveled in a defined time. Average speed is to take calculate the total distance travel at different speeds dividing by the total time taken.

Total Time = 4 hours

Total Distance = 68 km + 3 km + 25 km = 96 km

Average Speed = Total Distance / Total Time taken= 96 km / 4 hours

Average Speed = 24 km per hour

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Substitute w = 1 and w = 3 to determine if the two expressions are equivalent.
Margaret [11]

Answer:

The true statements are A and D

Step-by-step explanation:

4 (3(3) + 4) is 52, while 16(3) + 12 is 60

that would not be equivalent in w = 3 but it would in w = 1

6 0
2 years ago
Read 2 more answers
ITO
Setler [38]

Using the speed - distance relationship, the time left before the appointed time is 27 minutes.

<u>Recall</u><u> </u><u>:</u>

  • Distance = speed × time

  • Let time = t

<u>At</u><u> </u><u>10mph</u><u> </u><u>:</u>

  • Distance = 10 × (t + 3) = 10t + 30 - - - (1)

<u>At</u><u> </u><u>12</u><u> </u><u>mph</u><u> </u><u>:</u>

  • Distance = 12 × (t - 2) = 12t - 24 - - - - (2)

<em>Equate</em><em> </em><em>(</em><em>1</em><em>)</em><em> </em><em>and</em><em> </em><em>(</em><em>2</em><em>)</em><em> </em><em>:</em>

10t + 30 = 12t - 24

<em>Collect</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em>

10t - 12t = - 24 - 30

-2t = - 54

<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>-</em><em> </em><em>2</em>

t = 54 / 2

t = 27

Hence, the time left before the appointed time is 27 minutes.

Learn more : brainly.com/question/25669152

8 0
2 years ago
Read 2 more answers
The data obtained from a random sample of track athletes showed that as the foot size of the athlete decreased, the average runn
Rufina [12.5K]

Answer:

The correct option is;

(3) The sample of track athletes show that there is a correlation between foot size and running speed

Step-by-step explanation:

The statements are analysed as follows;

(1) Smaller foot sizes cause track athletes to run slower.

The above statement is a conclusion and it infers more information than is contained in the question statement because there are other factors such as taller athletes run faster than average sized athletes

(2) The sample of track athletes shows a causal relationship between

foot size and running speed.

The above statement is similar to the one above as it is a milder conclusion and it infers more information than is contained in the question statement

(3) The sample of track athletes shows a correlation between foot size

and running speed.

The  above statement is correct as is directly supported by the data as it is a statement made based directly the data

(4) There is no correlation between foot size and running speed in

track athletes.

The above statement is not supported by the available data.

3 0
3 years ago
Use distributive property to write an expression that is equivalent to 6(u+12)
nirvana33 [79]

Answer:

6u + 72

Step-by-step explanation:

6(u + 12)

Distribute 6 to u and 12

6(u) + 6(12)

6u + 72

6 0
3 years ago
Distance between (-7,-6) and (-2,-16)
Archy [21]

Exact form:

2\sqrt\ 13

Decimal form:

7.21110255 or 7.21

5 0
2 years ago
Read 2 more answers
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