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

list the factors of 5i^2+12i−32 i need help fast

Answers

Answer:

Step-by-step explanation:

5i² + 12i - 32i  = 5i² - 20i

                      = 5i² - (5*4*i)

                      = 5i(i - 4)

help!!!i need it quick

Answers

Answer:

A linear function is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

An exponential equation is written as:

y = A*(r)^x

Where A is the initial quantity and r is the rate of growth.

If a and A are both positives, the similar characteristic of both types of functions is that as x increases, then the value of y will also increase. Then both functions are increasing functions.

They are different in how they increase, while a linear function increases at a constant rate, an exponential function increases slow at the beginning and really fast as x increases, as you can see in the image below where we compare the two types of functions, the green one is the linear function, and the blue one is the exponential function.

Which temperature is greater, -20F or -60F

Answers

Answer:

-20

Step-by-step explanation:

Answer:

It's -20F :)

Step-by-step explanation:

hsbshehehebvdhshhakakkanabsbxh

Write the equation of the line in fully simplified slope intercept form”

Answers

Answer:

I think y=-5 , x = 3

Answer:

y = 5/3x - 5

Step-by-step explanation:

Slope = rise / run

The distance between two points is 5 up and 3 right. Hence, 5/3x is the slope.

-5 is where the line crosses the y axis, making it the y-intercept.

Orlando wants to buy a new TV. The price was $985. When he goes to the store a second time, he found that price was marked down by 35%. What is the new price of the TV?​

Answers

The TV is now $640.25 after the mark down. First you have to find 35% of $985 which is 344.75 then subtract that from 985 and you get 640.25.

At janices age she is not only 5 times older than ross, but she is 28 years older than ross. How old is janice?

Answers

Answer:

35 years old

Step-by-step explanation:

Let Janice's age = j.

Let Ross's age = r.

j = 5r

j = r + 28

Set the equations equal to each other.

5r = r + 28

4r = 28

r = 7

j = 5r

j = 5(7)

j = 35

Answer: 35 years old

Please help!! This is urgent!!

Answers

-8/5 is the correct answer
8\5 is the answer hope it helps

Find the slope

(3, 8) and (2, 10)

Answers

Answer:

m = -2

Step-by-step explanation:

Let (x1 , y1 ) = ( 3 , 8) and (x2 , y2 ) = ( 2 , 10)

Now

slope (m)

= y2 - 1 / x2 - x1

= 10 - 8 / 2-3

= - 2

hope it helps :)

Answer:

m = -2

Step-by-step explanation:

9. Find the value of x.

(look at the picture)

Answers

Answer:

use the fact that triangles only have room for 180 degrees inside, so all the angles must add up to 180, no more, no less. You can also jsut insert the options for x values until you find the right one(shouldnt take too long).

Step-by-step explanation:

A system of inequalities can have no solution?
a)true
b)false

Answers

Answer:

True

Step-by-step explanation:

help due soon and really need the grade

Answers

I would go out on a limb and say it’s A

Help pls show brainly

Answers

Answer:

10

Step-by-step explanation:

125 divided by 12.5

Answer: 10 dresses

Step-by-step explanation:

125/12.5=10

For every dress she needs 12 1/2 yards of fabric so what multiple of 12.5 is equal to or less than 125 and thats 10

An anchor is released from a boat and begins sinking. Its
velocity after it hits the water can be expressed as –10 feet
per second. Where is the anchor with respect to the surface
9 seconds after it hits the water?

Answers

you multiply -10 and nine and you get -90 hope this helps.

Step-by-step explanation:

Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice.
How many cups of carrot juice are used for each cup of apple juice?

Answers

Answer:

1/2 cup of carrot juice for each cup of apple juice.

Step-by-step explanation:

The ratio of carrot juice to apple juice is 3:6

Also written as 1:2

1/2 cup of carrot juice per 1 cup of apple juice

There are twelve doughnuts in a dozen. How many doughnuts are there in ten dozen?

Answers

I’m think it’s 120 since
One dozen =12
You would multiply it by 10
10x12=120

Which expressions are polynomials? Select each correct answer. x2−x√+2 2 + s 4x³ + y​

Answers

Answer:

Answers are

Y

2+s

4x^3+y

Step-by-step explanation:

please help this is due soon

Answers

the answer is 60degree..hope it helps u

0.2(10-5c)=5c-16


answer correctly or reported

Answers

Answer:

c=3

Step-by-step explanation:

0.2(10-5c)=5c-16

2 - 1c = 5c - 16

2 = 6c - 16

18 = 6c

3 = c

Identify and describe the error in the incorrect counselor's work.

Answers

Answer:

?????????

Step-by-step explanation:

?????????

3(x+5) - 3 = 2(3x + 1) - 3
how many solutions does this equation have?

Answers

Answer:

Step-by-step explanation:

1 solution: x=13/3

Round 2.77247497243 to the nearest millionth.

Answers

Answer:   2.7725

Step-by-step explanation:

Answer:

2.7725

Step-by-step explanation:

Which statement describes a unit rate?
A.Alex eats 3 apples.
B.Kyle runs 3 miles over 2 days.
C. Zack reads 3 pages of his book per minute. D.Michael adds 3 cups of sugar for every 2 cups of flour​

Answers

Answer:

c. 3 pages per minute

.......

Solve the following equation:
1/3(y - 2) -5/6 (y + 1) =3/ 4(0 - 3) - 2

Answers

Answer:

11/5

Step-by-step explanation:

If you need help with more problems like this you can use m a t h w a y. (remove the spaces)  :)


David is saving up money to buy a new car. He had $1,350 saved up 4 months ago, and now has $2,150. He adds the same amount of money each month

Answers

Answer:

David is saving up money to buy a new car. He had $1,350 saved up 4 months ago, and now has $2,150. He adds the same amount of money each month

Step-by-step explanation:

I'm not clear on your actual question, but I'm guessing you want to know how much money he has saved each of the last four months.

2150 - 1350 = $800 saved over the past four months

$800 / 4 months = $200 saved per month

What value of x makes this equation true? 2/3x - 5 = 1/6x + 3 ​

Answers

Answer:

D(16)

Step-by-step explanation:

2/3x-5=1/6x+3

Multiply on both sides by 6

4x-30=x+18

Change its sign and move the variable to the left hand side

4x-x-30=18

4x-30=x+18

4x-x=18+30

3x=18+30

Add the numbers

3x=48

Divide both sides

x=16

A swimming pool is shaped like a cylinder with a radius of 15 feet and a height of 6 feet

Answers

Answer:

4239 cubic feet

Step-by-step explanation:

V=[tex]\pi[/tex][tex]r^{2} *h[/tex]

V=3.14*225*6

V=3.14*1350

V=4239

I NEED HELP IM BEGGING WILL MARK BRAINLEST
JUST ANSWERS NO WORK NEEDED

Answers

Answer:

a = 5 c =11

Step-by-step explanation:

Answer:

sqrt[(80^2) + (20^2)] = (bottom base of the entire rectangle)

= 20(sqrt(17)) units or about 82.46211 units

find angle at bottom corner

arctan(20/80) = about 14.04624 degrees

cos(14.04624) = 20(sqrt17) / (80+a)

solve for a: --> a = 5 units

use pythag for side c

(20^2) + (5^2) = c^2

c is about 20.6155 units or 5(sqrt17)

Step-by-step example:

STEP BY STEP PLEASE
If the perimeter of square 3 is 36 units and the perimeter of square 2 is 48 units, what is the area of square 1?

Answers

We can find the side length of square 3 by dividing by 4, which is 9.

Then, we find the side length of square 2 by dividing it by 4, which is 12.

To find the AREA of square 1, we do a^2+b^2=c^2. This is basically adding up area of square 1 and square 2 to get square 3.

a^2+b^2=c^2
9^2+12^2=c^2
81+144=225

So the area is 225 units.

Answer:

225

Step-by-step explanation:

length of side in square 3 = 36/4

=9

length of side in square 2 = 48/ 4

= 12

using pythagorus theorem you can find side of square 1

take the triangle between 3 and 2

9^2 + 12^2 = length of side 1^2

81 + 144 = l^2

225 = l^2

l = 15

therefore length of side 1 is 15

area of square 1 = 15^15

area = 225 square units

hope this helped

ask if you didn't understand something or you think i am wrong:)

The population of a city is 250,000 and the annual growth rate is 2.2% Write an equation to model the population y after x years.

Answers

Answer:

bueno, es 3.70 así que espero que ayude um buena suerte ~ nena ~

Step-by-step explanation:

math pls help and thanks​

Answers

Answer:

Is red 3.33 triangle

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