1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
maksim [4K]
3 years ago
6

A person travels 8 miles down a stream. In the same time they can travel 6 miles upstream. If the current of the river is 2 mph

what is the rate of the still boat?
Mathematics
1 answer:
e-lub [12.9K]3 years ago
5 0

Answer: the speed of the still boat is 14 mph

Step-by-step explanation:

Let x represent the speed of the still boat.

A person travels 8 miles down a stream. Assuming he travels with the current and if the current of the river is 2 mph, it means that the total speed is (x + 2) mph

Time = distance/time

Time spent in travelling with the current is

8/(x + 2)

In the same time they can travel 6 miles upstream. Assuming he travels against the current, it means that the total speed is (x - 2) mph

Time = distance/time

Time spent in travelling against the current is

6/(x - 2) .since the time is the same, then

8/(x + 2) = 6/(x - 2)

Cross multiplying, it becomes

8(x - 2) = 6(x + 2)

8x - 16 = 6x + 12

8x - 6x = 12 + 16

2x = 28

x = 28/2

x = 14

You might be interested in
Tito bought a rare album for $68.00 and later sold it for $76.00. What is the percent of increase, rounded to the nearest tenth?
gogolik [260]
70-80=10
hope this help the 
68 rounded to the nearest tenth equals 70
and 76 rounded to the nearest tenth equals 80
so if you subtract 80-70=10 Tito increased the percent up to 10 dollars 
8 0
3 years ago
Read 2 more answers
Which of the following sets of ordered pairs represents a function?
Mila [183]

{(-1,3),(-1,4),(-1,5),(-1,6)} is the set from the given question which is a set of ordered pairs representing a function.

<h3>What is ordered pair?</h3>

An ordered pair (a, b) in mathematics is a group of two things. The pair's order of objects matters because the ordered pair (a, b) differs from the ordered pair (b, a) unless a = b. (By contrast, an unordered pair of a and b equals an unordered pair of b and a.)

Ordered pairs are also known as 2-tuples, or sequences (or, in computer science, occasionally, lists) of length 2. Sometimes referred to as 2-dimensional vectors, ordered pairs of scalars. Technically speaking, this is a misuse of the term because an ordered pair need not be a component of a vector space. An ordered pair's entries may be other ordered pairs, allowing for the recursive definition of ordered n-tuples (ordered lists of n objects).

Learn more about ordered pairs

brainly.com/question/11139505

#SPJ13

3 0
1 year ago
When is the mean most useful in describing a set of data?
melamori03 [73]
The range is wide is the correct answer
4 0
3 years ago
Read 2 more answers
The sum of two numbers is 150 the ratio of the same number is 3:2 find the bigger number
Paladinen [302]
3x-\ bigger\ number\\&#10;2x-\ smaller\ number\\\\&#10;3x+2x=150\\\\&#10;5x=150\ \ \ | divide\ by\ 5\\\\&#10;x=30\\\\&#10;3x=3*30=90\\\\ Bigger\ number\ is\ 90.
5 0
3 years ago
The following scatter plot demonstrates which type of correlation?
Nady [450]

Therw are no outliers. Outliers is a point that is out of the range of the correlation.

The group of points is going down making it a negative.

The points are not spread out. They are clustered together enough to determine it is a correlation.

It is a negative correlation.

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the inverse of f={(1,3),(4,2),(5,1)}​
    6·1 answer
  • A math test is worth 100 points and has 38 problems. each problem is worth either 5 points or 2 points. how many problems of eac
    9·2 answers
  • Austin's truck has a mass of 2000 kg when traveling at 22.0 m/s, it brakes to a stop in 4.0 s. show that the magnitude of the br
    10·2 answers
  • if a Balloon is filled with 282 cubic inches of a gas at a pressure of 14 pounds per square jnch, using inversely proportional f
    13·1 answer
  • -2( -4x - 2 ) - 5x + 5 = -12
    6·1 answer
  • The probability of choosing a green marble from a bag is 3/5.
    15·1 answer
  • The dolphin dives 20 feet below the surface of the ocean. What is the dolphins elevation in feet?
    11·1 answer
  • Determine the domain of this graph
    13·1 answer
  • Collection of domestic animals is a set. However, a collection of big domestic animal is not a set. How do you justify this stat
    7·1 answer
  • I’m sorry i need at least twenty letters so pleas tell me <br><br> What is<br><br> 13.1×3.70
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!