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
galina1969 [7]
3 years ago
6

a boat traveled 160 miles downstream and back. the trip downstream took 8 hours. the trip back took 40 hours. find the speed of

the boat in still water and the speed if the current
Mathematics
1 answer:
Nana76 [90]3 years ago
4 0

Let speed of the boat in still water = x miles per hour

Let speed of the current = y miles per hour


When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)


now plug the given values in formula speed=distance/time

we get equation:

(x+y)=160/8

or x+y=20...(i)


When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)

now plug the given values in formula speed=distance/time

we get equation:

(x-y)=160/40

or x-y=4

or x=4+y...(ii)


plug value of x into (i)

4+y+y=20

4+2y=20

2y=16

y=8


plug value of y into (ii)

x=4+8=12


Hence final answer is given by:

Speed of the boat in still water = 12 miles per hour

Speed of the current = 8 miles per hour


You might be interested in
Write the following expression using the fewest possible terms.<br><br> (−2x − 13) + (19 + 5x)
MakcuM [25]

The rewritten form of the given expression using the fewest terms is; 3x + 6.

<h3>What is the rewritten form of.the expression using the least possible terms?</h3>

It follows from the task content that the given expression is to be rewritten using the fewest terms.

Since the given expression is;

( −2x − 13 ) + ( 19 + 5x )

By getting rid of the parentheses; we have;

-2x - 13 + 19 + 5x

By collecting like terms; we have;

-2x + 5x - 13 + 19

3x + 6

Therefore, the required rewritten form of the given expression is; 3x + 6.

Read more on rewritten form of expressions;

brainly.com/question/28757930

#SPJ1

8 0
1 year ago
Evaluate 9 ÷ 3[(18 − 6) − 22].<br><br> 0.188<br> 0.375<br> 24<br> 48
Natasha2012 [34]

Answer:

Step-by-step explanation:

0.375

6 0
3 years ago
Read 2 more answers
Use graphing to find the solutions to the system of equations.
Galina-37 [17]
In order to utilize the graph, first you have to distinguish which graph accurately pertains to the two functions.

This can be done by rewriting the equations in the form y = mx + b which can be graphed with ease; where m is the slope and b is the y intercept.

-x^2 + y = 1
y = x^2 + 1

So this will be a basic y = x^2 parabola where the center intercepts on the y axis at (0, 1)

-x + y = 2
y = x +2

So this will be a basic y = x linear where the y intercept is on the y axis at (0, 2)

The choice which depicts these two graphs correctly is the first choice. The method to find the solutions to the system of equations by using the graph is by determining the x coordinate of the points where the two graphed equations intersect.
3 0
3 years ago
I have no clue what I'm doing
sergejj [24]
Try to get all the x'es to the right side
5 0
3 years ago
Statistics Question. Use the Desmos graphing calculator to find the least-squares regression line for the dataset in the table:
Soloha48 [4]

Given:

The table of values.

To find:

The least-squares regression line for the data set in the table by using the desmos graphing calculator.

Solution:

The general form of least-squares regression line is:

\hat{y}=mx+b           ...(i)

Where, m is the slope and b is the y-intercept.

By using the desmos graphing calculator, we get

m\approx 2.55,b\approx -6.435

Substitute these values in (i).

\hat{y}=(2.55)x+(-6.435)

\hat{y}=2.55x-6.435

Therefore, the correct option is A.

8 0
2 years ago
Other questions:
  • Help me I'm kinda stuck xD
    14·1 answer
  • Twenty-four is to 36 as 42 is to what number
    12·2 answers
  • SOLVE. (4a-5)÷(6a²+30a)+(a-1)÷(6a²+30a)
    5·1 answer
  • The length of a rectangle is 11 in. longer than its width. The perimeter of the rectangle is 86 in.
    13·1 answer
  • Research conducted by a daily U.S. newspaper has shown that about one seventh of the people in the world are left handed. Which
    5·1 answer
  • Distributive 7x^2(-x*2-5x)
    9·1 answer
  • Hi i kinda stuck on this question. <br>Help please. <br>Workings Please​
    11·1 answer
  • The average of 7 numbers is 45.If the last two numbers are 27 and 43 what is the average of the first five
    12·1 answer
  • How to make 18.2% in to decimal​
    10·2 answers
  • What is x if <br><img src="https://tex.z-dn.net/?f=xxx%20%2B%203358%20%3D%20461267" id="TexFormula1" title="xxx + 3358 = 461267"
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!