A boat travels 10 miles per hour upstream and 16 miles per hour downstream. How fast is the​ current?

Answers

Answer 1

Answer: The speed of the current is 3 miles per hour.

Step-by-step explanation:

Let x = speed of boat , y= speed of current.

Given:

x-y=10         (Upstream)       ...(i)

x+y= 16   (Downstream)       ...(ii)

Adding (i) and (ii), we get

2x=26

⇒ x= 13

Put x=13 in (i), we get

13-y=10

⇒ y=13-10

⇒ y=3

Hence, the speed of the current is 3 miles per hour.


Related Questions

PLZ HELP ASAP I WILL GIVE BRAINLIEST
The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below the question.

Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

A. 82/3.28

B. 4/3.28

C. 4/0.68

D. 82/0.68

Answers

Answer:

B.

Step-by-step explanation:

Answer:

B.

StartFraction 4 over 3.28 EndFraction

Step-by-step explanation:

What is the solution to the system of equations graphed below?

Answers

it would be letter B.(3,-4)

In each of the following graphs, the two given polygons are similar. Write precisely a single dilation (coordinates of center and coefficient) by which the image (labeled with primed letters) was obtained. Will Give Brainiest!!!!!

Answers

Answer:

Center: (0,0)   coefficient: [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The side of the smaller polygon is 1/3 the size of the larger one, and that is why the coefficient is 1/3.

Polygon MNPQ was dilated by a scale factor of 1/3 and center of dilation (0, 0) to create M'N'P'Q'.

What is dilation?

Dilation is the increase or decrease in the size of a figure by a scale factor of k, thereby creating an image.

From the diagram:

Scale factor = N'P' / NP = 2/6 = 1/3

Center = (0, 0)

Polygon MNPQ was dilated by a scale factor of 1/3 and center of dilation (0, 0) to create M'N'P'Q'.

Find out more on dilation at: https://brainly.com/question/10253650

33 POINTS! Right answer gets brainliest

Find the area of the shape below.

Answers

Answer: 112.5 m^2

Step-by-step explanation:

Area of rectangle = lw

l = 7.5

w = 15

7.5 * 15 = 112.5

Answer:

112.5 Meters

Step-by-step explanation:

The Area is length x width.

7 1/2 meters x 15 meters is equal to 112.5 meters to therefore the Area of that rectangle is 112.5 meters.

A store manager earns
$
24.00
per hour. If the manager works
8
hours one day and donates
1
10
of the day’s earnings to charity, how much of the earnings are left?


Answers

Answer:

165.6=x

Step-by-step explanation:

(24.00*8)0.90=x

184.00*0.90=x

165.6=x

2.7. 8=24.

24/8= 3

3/10= 0.3

3 -0.3 =$2.7

A teacher bought pencils for $14.99, but she knows the store bought them for $8.50. What is the percent markup to the nearest whole?

Answers

Answer:

20

Step-by-step explanation:

23 would be the answer but its rounding to the nearest whole

factorise 36x³y-225xy³​

Answers

hihere is ur answer:

9xy(2x+5y)(2x-5y)

hope it’s good!!

What is the completely factored form of xy3 – x3y?

Answers

Answer: x y (y - x) (x + y)

-x y (x - y) (x + y)

x (y^3 - x^2 y)

Real roots:

x = 0

y = 0

Roots:

y = -x

y = x

hope this helps

Step-by-step explanation:

Answer

A

Step-by-step explanation:

If it costs $80,000 to put on an event and the total revenue is $250,000, what is the profit as a percentage of revenue? (Round to the nearest percent.)

Answers

It would cost 273,711 dollars.

You have a 10% coupon for your favorite restaurant. You order $75 worth of food and drinks. What will your bill be (before tax) after the 10% discount?

Answers

Answer: $67.50

Step-by-step explanation:

5.Regarding the equations below. What is the value of x?

5x + 2y = 4
x – 3y = –23

Answers

Answer:

x=−2

y=7

Step-by-step explanation:

5x+2y=4

x−3y=−23

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

5x+2y=4,x−3y=−23

To make 5x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 5.

5x+2y=4,5x+5(−3)y=5(−23)

Simplify.

5x+2y=4,5x−15y=−115

Subtract 5x−15y=−115 from 5x+2y=4 by subtracting like terms on each side of the equal sign.

5x−5x+2y+15y=4+115

Add 5x to −5x. Terms 5x and −5x cancel out, leaving an equation with only one variable that can be solved.

2y+15y=4+115

Add 2y to 15y.

17y=4+115

Add 4 to 115.

17y=119

Divide both sides by 17.

y=7

Substitute 7 for y in x−3y=−23. Because the resulting equation contains only one variable, you can solve for x directly.

x−3×7=−23

Multiply −3 times 7.

x−21=−23

Add 21 to both sides of the equation.

x=−2

The system is now solved.

x=−2,y=7

Graph if needed:

Jane goes to an amusement park with her friends. The admission fee to the amusement park is $8 and each ride costs $2. If Kelly has only $32 to spend how many rides can she go on?​

Answers

Answer:

She can ride 12 rides i think if not let me know!

Step-by-step explanation:

32 - 8 then 24 divided by 2

Melinda is trying to balance her checkbook. The latest statement from the bank reports that the balance in her account is $763.53. However, the balance in Melinda's checkbook is $985.21. Round each number to the nearest hundred and choose the best estimate of the difference between these two dollar amounts.

Answers

Answer:

$200

Step-by-step explanation:

I just took away the tens and ones from the 2 numbers, so you have 900 and 700, subtract both of those and you get 200, BAM! hope this helped it's my first time doin thiS :)

solve for a, geometry work

Answers

Answer:

a = 45 degrees

Step-by-step explanation:

Since both angles are a, they are equal to each other

Also, we know that the right angle means it measures 90 degrees

So, (180-90)/2 = a

a = 45 degrees

Sum of interior angles in a triangle =180
a+a+90=180
2a+90=180
2a=180-90
2a=90
a=90/2
a=45

find the domain and range of f(x)= -2x²+3​

Answers

Answer is in pictures and work as well

Answer:

you need to know what domain and range mean... so remember domain is the input.... range is the output..    :)

Step-by-step explanation:

the input .. "x"  in this case.. can be any number .. so the domain is all real numbers.

the output.. or range.. is limited.. b/c the square on the  'x" will always make that number positive.. and then it's multiplied by the negative 2.... so that term will always be negative.  : |  hmmmm so when is that squred term the smallest it can be?  hmmm  when it's zero... soooo this function will .. at it's greatest point be 3 and go down from there...

the range is from -∞  to 3  

see? :)

1. what is the equation of a line that has an x-intercept of 2 and a y-intercept of 8

Answers

Answer:

B

Step-by-step explanation:

x- intercept = 2  .So, Coordinate(2 , 0)

y-intercept = 8 . So, Coordinate (0, 8)

[tex]Slope = \frac{8-0}{0-2}\\\\=\frac{8}{-2}\\\\=-4[/tex]

Slope y-intercept form: y = mx + b  {Here, b is y-intercept}

y = -4x + 8

WRITE AN EQUATION RHAT DESCRIBES THE PATTERN SHOWN IN THE TABLE!! Please help!!! HURRY PLEASE TYSM

Answers

Answer:

he depends on the 12th week because he ran more miles

Step-by-step explanation:

8<10<13<17

What is the place value of the 1 in 352.01?

Answers

Answer:

hundredths

Step-by-step explanation:

the 0 is tenths and the 1 is hundredths

Hi, I have a question: Is 1.2 and 1.20 the same?

Answers

Answer:

yes

Step-by-step explanation:

0 is just a place holder

Answer: yes

Step-by-step explanation:

Trailing zeros with no numbers of value after them are just place holders.

1. Akari has a sink that is shaped like a half-sphere. The sink has a volume of
8000
*n in. One day, her sink clogged. She has to use one of two
3
cylindrical cups to scoop the water out of the sink. The sink is completely full,
when Akari begins scooping. Hint: you may need to find the volume for both.
(a) Cup A has a diameter of 4 in, and a height of 8 in. Find the Volume of Cup A.
(b) Determine how many cups of water must Akari scoop out of the sink with Cup A to
empty it? Round the number of scoops to the nearest whole number, and make
certain to show your work.
(c) Cup B has a diameter of 8 in, and a height of 8 in. Find the volume of Cup B.
(d) How many cups of water must she scoop out of the sink with Cup B to empty it?
Round the number of scoops to the nearest whole number, and make certain to
show your work

Answers

Answer:

the fisrst cup has a volume of 100.53

Step-by-step explanation:

Write an equation in slope-intercept form for the line with slope 3/5 and y-intercept -9

Answers

Y=3/5x -9 I’m pretty sure it’s this

The cost of 8 kg of butter is $ 904. what will be the cost of 14 kg of butter

Answers

Answer:

$1582

Step-by-step explanation:

cost of each kg 904/8=113

cost of 14 kg 113x14=1582

the cost of 14 kg of butter is $1582

Please help

What is the unknown value for u:3 = 2:6

Answers

Answer: i think it should be 1:3=2:6

Step-by-step explanation:

Answer:

U=1

Step-by-step explanation:

Look at this shape Which image shows a rotation? A B. C С​

Answers

Answer:

A

Step-by-step explanation:

Answer:

C paikutin mo

Step-by-step explanation:

Ewan ko la lang


What is the exact volume of the sphere?

A)56.37 ft

D)274.6257 ft

C)366.167 ft

D)1464.67 ft

I need help with this.

Answers

Answer:

c

Step-by-step explanation:

i took the test

3w-1 divided by 3 minus 2w+1 divided by 3 =1

Answers

Answer:

w = 5

Step-by-step explanation:

(3w - 1) ÷ 3 - (2w + 1) ÷ 3 = 1

(Graph, just switch w to x)

Answer:

higkygbjoknmmnnnbv

HELP ITS DUE IN 15 mins!!!!! and i need help:(

Answers

Answer: Fred's Slope

Step-by-step explanation:

Comparing the slope were are looking at the numerator or y of the slope to find which one takes you the highest compared to the others.

Start with Sam who has a slope of 2/11 or rise 2 run 11 which is pretty flat so sam is out

Fred and Anne both have a slope that is a whole number so we're lloking for the bigger number which would be Fred

Anne's slope is 4.75

sams slope is 2/11

and fred’s is 5

The area of a parallelogram is 16 cm. One side Height is 4 cm. What is the length? options are:- 5 cm none of these 4cm 8cm

Answers

Answer: 4cm

Step-by-step explanation:

The area of a parallelogram is calculated by multiplying the height by the length:

Area = Height * length

Assume the length is x, substituting values would make the formula:

16 = 4 * x

4x = 16

x = 16/4

x = 4 cm

lauren took 12 hours to read a 360 boo.at this rate how long will it take her to read a 400 page book

Answers

Answer:

13.33 hours

Step-by-step explanation:

[tex]\frac{12}{360} =\frac{x}{400} \\\\360x=4800\\x= 13.33[/tex]

Given that 2 x − 2 y = 23 Find x when y = 9 Give your answer as an improper fraction in its simplest form

Answers

Answer:

41/2

Step-by-step explanation:

2x - 2(9) = 23

2x - 18 = 23

    +18   +18

2x = 41

/2    /2

x = 41/2

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