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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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Jacqueline had $.84 cents her brother gave her another $.61 cents write the amount of money Jacqueline now has as a decimal expl
gladu [14]
It is 0.23 because 84-61 is 23 and 23 Divided by 100 is 0.23
8 0
3 years ago
The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.
maks197457 [2]

Step-by-step explanation:

The first possibility

2(width) + 2(length) = perimeter

2(3x-3) + 2(length) = 10x+6

6x - 6 + 2(length) = 10x+6

2(length) = 4x + 12

length = 2x + 6

The second possibility.

rondhesha chodado in The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

So you have the perimeter, P, can be found by doing u+u+v+v.

Simplifying gives:

P=2u+2v.

You are given the width is (3x-3).  Choose this to be u or v but not both.

Perimeter is given a (10x+6).

Let's plug this in:

(10x+6)=2(3x-3)+2v

We are solving for v.

First step: Distribute where you can:

10x+6=6x-6+2v

Now we want to isolate v.

So we will need to subtract (6v-6) on both sides:

 (10x+6)=2v

- (6x -6)

----------------------

4x+12  =2v

The right hand side contains a factor of 2.

The left hand side does too since 4x+12 can be factored as 2(2x+6).

2(2x+6)=2v

This implies v is 2x+6.

Let's check our work.

We have two sides with measurement 2x+6:  (2x+6)+(2x+6)=4x+12

We have two sides with measurement 3x-3:   (3x-3)+(3x-3)=  6x-6

Let's add those sums to find the perimeter:                             10x+6

That is the intended 

3 0
3 years ago
3 + 4 = ?<br> וא<br> 2/3+2/4
Elina [12.6K]

Answer:

1. 7

2. 17/12 can be a mixed number

8 0
3 years ago
Landon is building new bookshelves for his bookstores new mystery section. Each shelf can hold 34 books. There are 1,265 mystery
nignag [31]
1,265 divided by 34 is 37.20
You can't put a fraction of a book on a shelf so each shelf will have ABOUT 37 books

Make sure you include ABOUT in your answer
4 0
3 years ago
18. Young millennials, adults aged 18 to 34, are viewed as the future of the restaurant industry. During 2011, this group consum
vovikov84 [41]

Answer:

H_0: \bar x =192\\H_a: \bar x \neq 192

Step-by-step explanation:

Given that Young millennials, adults aged 18 to 34, are viewed as the future of the restaurant industry. During 2011, this group consumed a mean of 192 restaurant meals per person (NPD Group website, November 7, 2012).

It is claimed that due to poor economy this average might have been subjected to a change.

To test this claim we have to conduct a hypothesis test.

The hypotheses would be with null there is no change against alternate that there is differnce.

H_0: \bar x =192\\H_a: \bar x \neq 192

(Two tailed test)

4 0
3 years ago
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