please help me?!!


a motorboat takes 5 hours to travel 150 Miles going Upstream. the return trip takes 3 hours going Downstream .what is the rate of the boat in still water and what is the rate of the current ?​

 Please Help Me?!!a Motorboat Takes 5 Hours To Travel 150 Miles Going Upstream. The Return Trip Takes

Answers

Answer 1

Answer:

The the rate of the motorboat in still water is 40 km/h;  the rate of the current is  10 km/h.

Step-by-step explanation:

Let  u  be the rate of the motorboat in still water (in kilometers per hour),

let  v  be the rate of the current.

Then the rate of the motorboat going downstream is  u+v  km/h,

while its rate going upstream is  u-v  km/h.

From the other side, the rate of the motorboat going downstream is  150/3=50km/h = 30 km/h.

Thus you have these two equations

   u + v = 50    (1)   (for the rate downstream),   and

   u - v = 30    (2)   (for the rate upstream).

To solve the system, add equations (1) and (2). You will get

   2u = 50 + 30 = 80;   hence,

    u           = 80/2 = 40 km/h.

Then from the equation (1),  v = 50 - u = 50 - 40 = 10 km/h.

ANSWER.  The the rate of the motorboat in still water is 40 km/h;  the rate of the current is  10 km/h.


Related Questions

Find x given Circle P.
PLEASE HELP !!!

Answers

Answer:

360 - 60 = 300

x = 300

Step-by-step explanation:

Answer is x=300 thank me later

I can do your homework for you

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Answer:

thanks for the free points

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can u answer these ones

Step-by-step explanation:

please help and show work if you can​

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Answer:

7.  x = 5

8. x = 2, y = 6

9. x = 21, y = 39

Step-by-step explanation:

For a parallelogram, the lengths across intersection are equal.

7. For a parallelogram, the lengths across intersection are equal.

So that,

3x = 4x - 5

4x - 3x = 5

 x = 5

8. For a parallelogram, the lengths across intersection are equal.

So that,

2x = 4

x = [tex]\frac{4}{2}[/tex]

x = 2

and

y - 1 = 2y -7

7 - 1 = 2y - y

y = 6

x = 2, y = 6

9. For a parallelogram, opposite angles have equal value.

Thus,

3x = (4x - 21)

3x = 4x - 21

x = 21

and

3y = (y + 78)

3y = y + 78

3y - y = 78

2y = 78

y = [tex]\frac{78}{2}[/tex]

  = 39

y = 39

x = 21, y = 39

Mr. Martin and his son, Luke, decide to walk a 12
kilometer trail. Mr. Martin takes a 1-hour head start and
walks at a pace of 3 km/hr. Explain how fast Luke should
walk to reach the end of the trail in 3 hours, the same time
as Mr. Martin.

Answers

Answer:

4km/h

Step-by-step explanation:

we have the dad walking 3 km per hour but he had a headstart menaing he has 4 hours to do it, 3 times 4 is 12. now we have the son doing 12 kilometers in 3 hours so we divide 12 by 3 meaning he has to be going at a pace of 4 km per hour.

Answer:

It will take Mr. Martin 4 hours to walk the trail, and Luke should walk faster than Mr. Martin. Using the equation 12 = (3)(x), Luke should walk 4 km/hr to finish the trail in 3 hours.

Step-by-step explanation:

This is the sample on Edge.

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/afternoon/night!!!

Please help me with these....or one and explain how to put into calculator please.....

Answers

Answer:

1. x= -20

2. x= 6.33

Step-by-step explanation:

Question 1:

10=7

x=x+6

(Cross multiply)

10(x+6)=7x

10x+60=7x

10x-7x=-60

3x=-60

x=-60/3= -20

Question 2:

6=4

8=x-1

(Cross multiply)

6(x-1)=4×8

6x-6=32

6x=32+6

6x=38

x= 6.33

hope it helps! please mark me brainliest

thank you! have a good day ahead

I need help please

4d + 8

Answers

Answer:

4  ( + 2 )

Step-by-step explanation:

Answer:

i am going to assume 4d+8=0 so 4d=-8 and  d=-2

Step-by-step explanation:

If the area of a square table is 392 sq.ft. what is the length of each side?

Answers

Answer:

multiply 392 by 4 that should be your answer

Step-by-step explanation:

1. What is the slope of a line that is perpendicular to the x-axis ​

Answers

Answer:

The slope of a line that is perpendicular to the x-axis ​is undefined.

Step-by-step explanation:

We know that the x-axis is a horizontal line.

We also know a line that is perpendicular to the x-axis ​is basically a vertical line.As the slope of a perpendicular line is undefined because no matter what the value of y is, the x-value remains the same.

Therefore, the slope of a line that is perpendicular to the x-axis ​is undefined.

For example, the slope between (1, 2) and (1, 4) is:

Using the slope formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 = [4 - 2] / [1 - 1]

                  = 2 / 0

                  = ∞

What is the area of the figure below?

Answers

Answer:

3 x 3 = 9 + 3 x 3 = 9 which would be 18, then add 7 and 3 which would be 10 then multiply it by 5 which would be 50 then divided by 2 and you would get 25 add 25 two times which would be 50 once you do, you add the 18 which would be 68 in square.

Step-by-step explanation:

The sales tax for an item was $36.90 and it cost $410 before tax. Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

36.90/410 = 0.09

0.09 X 100 = 9%

UMS Grade 7 Math CUA- Unit 4 / 6 of 10
A garment is on sale for 35% off the regular price. If the regular price is $48.80, then what is the sale price?
O A $16.27
O B. $17.08
OC. $31.72
O D. $32.53
PLEASE HURRY IM DOING THE TESTTT NOWWWW

Answers

B because 48.80*0.35=17.08

Please help me find the value of x the answer must be exact

Answers

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

[tex]leg=x\\hypotenuse=x\sqrt{2}[/tex]

Therefore, the value of x is 11.

You can double-check using the sine ratio:

[tex]sineX=\frac{opposite}{hypotenuse}[/tex]

Insert the values:

[tex]sin45=\frac{x}{11\sqrt{2} }[/tex]

Insert the equation into a calculator:

[tex]x=11[/tex]

:Done

*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.

5j-5= 5
----
j5 true or false

Answers

The answer is true j5

15 pointsss

The wholesale price of a dress at Macy's is $250 before they markup the product by 3/4. Sally, a customer, purchases the dress using a coupon giving her 1/5 off of the dress. How much does she pay after markup and discount is applied?

A. $200
B. $87.50
C. $250
D. $350

Answers

The answer to this question is option B

Pls help and show workings pls
It due ASAP
please

Answers

Answer:

C. ASA

Step-by-step explanation:

2 sides & 2 angles are equal as given.

Other 2 angles are equal on basis of vertical angles

Please help, thank you! What is the difference between the probabilities of 4/4 and 100%?
(no choices)

Answers

Answer:

There is no difference

Step-by-step explanation:

because they are both equal to a 100% chance of that makes sense

hope that helps:)

Tyesha has x feet of wood for a project. She has lengths of wood that are 7 1/2 feet, 5.25 feet, and 6 3/4 feet long. What is the total length of wood she has for this project?

Answers

i’m guessing to just add up all of those numbers and fractions or whatever they are and get the answer and if that don’t work then i don’t know

someone pls help me 10 points

Answers

y = 2x is the equation

What is the distance between the points? Round to the nearest tenth if necessary

Answers

Answer:

5

Step-by-step explanation:

Pythagorean Theorem States: [tex]x^{2} +b^{2} = c^{2}[/tex]

[tex]3^{2} + 4^{2} = c^{2}[/tex]

9+16=25

[tex]\sqrt{25}[/tex]=5

Simplify (4/5)^-2. Show your work!
PLEASE HELP ASAP! 40 POINTS!

Answers

Answer: (16/25)

Step-by-step explanation: That's -(4/5) x -(4/5) = (16/25). It's that answer because a negative times a negative equals a positive. The exponent in the problem is telling you to multiply -4/5 times itself 2 times.

please help i’ll mark brainliest

A group of friends hires a bus for a day for
$480, agreeing to share the cost equally. At
the last minute, two more people decide to go
on the trip, and as a result each person pays
$8 less.
How many people go on the trip and how much
does each person pay?

Answers

Step-by-step explanation:

i think 52 people was there cause 8×60=480 and you said that in the last minute two more people decide to go so i added two more and 52 people was the result

Answer:
67.50
Explanation:
First you add 8+8=16
Then 480+16=540
So you divide 540 ÷8=
So each of them pays 67.50$

PLEASE HELP!!!! will give brainliest!!!!

Answers

Answer: A Good luck :)

To factor a[tex]x^{2}[/tex]+bx+c, you have to group it as (a[tex]x^{2}[/tex]+ux)+(vx+c) so that uv=ac and u+v=b. Both addition and multiplication are commutative, so how do you determine which value is assigned to u and which to v? Or are they interchangeable?

Answers

Answer: They are interchangeable

For example, let's expand out (x+3)*(2x+1). Use of the FOIL rule should get to you 2x^2 + 7x + 3.

Now imaging that you handed 2x^2 + 7x + 3 to a friend to be factored. They do not know the factorization yet.

They would see that a = 2, b = 7, c = 3.

The friend needs to find two numbers u,v such that they multiply to a*c = 2*3 = 6 and add to b = 7

Through trial and error (I recommend making a table of values), your friend would get

u*v = 1*6 = 6u+v = 1+6 = 7

But as you mentioned, your friend could easily swap the order of addition and multiplication to say

u*v = 6*1 = 6u+v = 6+1 = 7

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

If we go with the first option, then the factor by grouping looks like this

2x^2 + 7x + 3

2x^2 + 1x + 6x + 3 ... break up 7x into 1x+6x

(2x^2+1x) + (6x+3) .... group up the terms into pairs

x(2x+1) + 3(2x+1) .... factor each grouping

(x+3)(2x+1) ..... factor out the overall GCF

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

Or we could have the factor by grouping looks like this

2x^2 + 7x + 3

2x^2 + 6x + 1x + 3 ... break up 7x as 6x+1x

(2x^2+6x) + (1x+3)

2x(x+3) + 1(x+3)

(2x+1)(x+3)

(x+3)(2x+1)

We end up with the same factorization.

The marked price of a watch is Rs.2700. If the percentage of discount given on marked price is twice of the percentage of VAT and the value of the watch after adding VAT is Rs.2376.Find the rate of VAT

Answers

Answer:

24%

Step-by-step explanation:

Step one:

given data

The marked price of a watch is Rs.2700

The value of the watch after adding VAT is Rs.2376

let us find the discount

= 2700-2376

=324

then the percentage discount is

=324/2700*100

=0.12*100

=12%

The VAT is twice the discount, the VAT is 12*2= 24%

Jose has 3/5 kilograms of peppermints and 2/3 kilograms of of candy canes how much candy dose he have

Answers

The answers is 2.793 kilograms

1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7

First solve for x.

Answers

Answer:

2x + 7= 4x + 17

x=−5

Paul cut a rectangular piece of paper. He then cut off a semi-circular piece from each end, as shown below. What is the area of the remaining paper? Use 3.14 for

Answers

Step-by-step explanation:

Area of remaining paper

= Area of rectangle - 2 * Area of semicircle

= Area of rectange - Area of circle

= (4in * 8in) - (π * 2in * 2in)

= 32in² - 4πin²

= 19.44in². (A)

Suppose that 8 machines can complete a certain task in 9 days. if there are 18 machines, how many days would it take for them to finish the same task?

Answers

Answer:

It would require 4 days.

If there are 18 machines. Then the number of days would it take for them to finish the same task will be 4 days.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

Time is inversely proportional to the number of the machines.

T ∝ 1/M

If the proportionality is removed, then a constant k is introduced.

Suppose that 8 machines can complete a certain task in 9 days.

Then the amount of the total work that is k will be

k = 8 x 9

k = 72

If there are 18 machines.

Then the number of days would it take for them to finish the same task will be

T = 72 / 18

T = 4 days

The number of days would it take for them to finish the same task will be 4 days.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

What is the equation of the ellipse with major vertices at (-6, 0) and (6, 0) and minor vertices at (0, 3) and (0, -3)?

Answers

Answer:

b

Step-by-step explanation:

Convert -2x+6y=-24 to slop intercept form​

Answers

Answer:

y= 1/3x - 4

Step-by-step explanation:

hope this helps

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