A salmon is swimming in a river that is flowing downstream at a speed of 2 miles per hour. The slamon can swim 12 miles upstream in the same amount of time it would take 24 miles downstream. What is the speed of the salmon in still water?

Answers

Answer 1

Answer:

The speed of the salmon in still water is 6 mi/h

Step-by-step explanation:

When an object moves with a speed So (So measured in still water) in a river with speed Sr:

If the object moves along the current (downstream), then the actual speed of the object will be:

S = So + Sr

If the object moves upstream, then the velocity will be:

S = So - Sr

In this case we know the speed of the river downstream is 2 mi/h

Sr = 2mi/h

And we know that the salmon can swim 12 miles upstream in the same time (T) that it can swim 24 miles downstream.

Here you need to remember the relation:

Distance = Time*Speed.

Then we know that:

24 mi = (So + 2mi/h)*T

12 mi = (So - 2mi/h)*T

Now we can take the quotient of these two equations to get:

(24mi/12mi) = ( (So + 2mi/h)*T)/((So - 2mi/h)*T)

2 = (So + 2mi/h)/(So - 2mi/h)

Let's multiply both sides by the denominator of the right part:

2*(So - 2mi/h) = (So + 2mi/h)

2*So - 4mi/h = So + 2mi/h

Now we need to isolate So, the speed of the salmon in still water:

2*So - So = 2mi/h + 4mi/h

So = 6mi/h

The speed of the salmon in still water is 6 mi/h


Related Questions

s
Daily Distance Larry Biked (Km)

3 5 12 2 1
8 5 8 6 3
11 8 6 4 10
10 9 6 6 6
5 2 1 2 3
What was the most common Distance Larry Bike

Answers

Answer:

rrhithyyyyyyyytru to hb uh-I don't know what to say to

Step-by-step explanation:

they are u guys are u guys are doing well and your family are u guys are doing well and your family are doing well ☺️☺️☺️ I'm not going home now and u want me out and u doing well and staying home with me to school and get a few more kimbot I don't know if I

ryan rides his bicycle 5 miles in 3/4 hour. how many miles can he ride at the same rate in 1 hour? (in fractions)​

Answers

Answer:

20/3

Step-by-step explanation:

If Ryan rides his bike 5 miles in 3/4 of an hour, then he rides 5/3 miles in 1/4 of a hour (divide both by 3). To get to a full hour from 1/4, you need to multiply it by 4. You must do the same for 5/3. 5/3*4 is equal to 20/3.

I'm a brainy plus member that shows it doesn't expire until 3/2022, but when I take a picture and click on answer it won't give the answer to me. It is blurry. Please let me know what is wrong.

Answers

Answer:

Can I see it actually?

Step-by-step explanation:

For the right triangles below, find the exact values of the side lengths b and a. If necessary, write your responses in simplified radical form. 300 Х X 5 ? 459 5 4= 45° 60 3 ​

Answers

Answer:

who knows

Step-by-step explanation:

The Reeds are moving across the country. Mr. Reed leaves 4.5 hours before Mrs. Reed. If he averages 40mph and she averages 60mph, how many hours will it take Mrs. Reed to catch up to Mr. Reed?

Answers

Mr. Reed DATA:

rate = 40 mph ; time = x 4.5 hrs ; distance = 40x miles

-----

Mrs. Reed DATA:

rate = 60 mph ; time = x hrs ; distance = 60x - 210 miles

------

Equation:

40x = 60x -210

-20x = -210

x = 10.5 hrs

x-3.5 = 7 hrs (Mr. Reed's time)

5. Find the value of x in the figure shown. 68 * 68 a. 20 b. 22 c. 45 d. 80​

Answers

Answer:

yes

Step-by-step explanation:

yes of course.

Which of the following is NOT an example of a right angle?
Ο Α.The corner of a door

O B.The corner of a book

C.The point of a pencil

D.The corner of a piece of notebook paper

Answers

Answer:

The point of a pencil

Step-by-step explanation:

all other three mesure 90 the point of pencil is not square shape in order for it to be right angle its gotta be square shape hope this helps! may i be marked brainliest?

A museum has an aquarium in the shape of a right rectangular prism that is 22.9 meters long. 7.5 meters wide, and 4.6 meters high. What is the volume, rounded to the nearest cubic meter, of the aquarium? EXPLAIN.

A. 280
B. 623
C. 790
D. 1288

( If you put an improper answer I will report :) )

Answers

Answer
1013cm

Explanation
The decimal is a 5 so that is rounded up to give the nearest meter hence the answer to the question is
1013
c
m
3
.

Can someone help me pls

Answers

Answer: if I help you can you plz put me as a brainly the answer is 15

Step-by-step explanation:

Step-by-step explanation:

hope this help! have a great day

What is the range of the function on the graph?

Answers

Range is the output values which are the y values.

The dot is at y = 2 and the line moves upward to the right off the graph. This means the line will continue to infinity.

The range would be 2 to infinity.

(2, infinity)

Find the derivative of f(x) = -12x2 + 9x at x = 6.
a) -112.5
b)-135
c)90
d)108

Answers

hi

f(x) = -12x²+9x

So

f'(x) =  -24x +9

if  x = 6   then  f'(6) = -24 (6) +9 = -135

PLEASE HELp ME U GET ALOT OF POINTS 97points
circumference and Area of circles
7. Demi measured the wheels on her brother's wagon. The diameter of each
wheel is 15 inches. To the nearest inch, how far will the wagon travel each
time the wheels make a complete turn?

8.The radius of circle A is 6 ft. The diameter of circle B is 6 ft. To the nearest
foot, how much greater is the circumference of circle A as compared to the circumference of circle B?
9. The larger circle in the design at the right has a radius of 40 in.
What is the area of the shaded part of the design?
30 in.
10. Max knows that the circumference of a circular pool is 12 ft.
He estimates that the diameter of the pool is between 3 ft and 4 ft. Is this reasonable? Explain.

Answers

Answer:

#7

C = πd = 3.14*15 in = 47 in (rounded)

#8

C₁ = 2πr = 2*3..14*6 ft = 37.68 ftC₂ = πd = 3.14*6 ft = 18.84 ft

The difference:

C₁ - C₂ = 37.68 - 18.84 = 19 ft (rounded)

#9

No picture attached

#10

C = 12 ftd = C/πd = 12/3.14 = 3.82 ft3 ft < 3.82 ft < 4 ft

Max is right

You moved 7 units left, 8 units up, and ended at point W
Where did you begin?
OA) (1.8)
OB) (9.1)
OC) (81)
OD) (9.8)
Please help me I’m tired

Answers

Answer:

C. (8,1)

Step-by-step explanation:

16. Find the slope and y-intercept of y - y° = m(x – x°) where x° and y°
are constants.​

Answers

Step-by-step explanation:

Slope = m

y - y° = m(x - x°)

m(x - x°) = y - y°

m = (y - y°)/(x - x°)

y intercept x = 0

... and I don't know :")

A function y(t) satisfies the differential equation dy dt = y4 − 10y3 + 24y2. (a) What are the constant solutions of the equation? (Enter your answers as a comma-separated list.) y = (b) For what values of y is y increasing? (Enter your answer in interval notation.) y (c) For what values of y is y decreasing? (Enter your answer in interval notation.) y

Answers

Answer:

[tex](a)\ y =0\ or\ y=4\ or\ y=6[/tex]

[tex](b) \ (-\infty,4)\ u\ (6,\infty)[/tex]

[tex](c)\ (4,6)[/tex]

Step-by-step explanation:

Given

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

Solving (a): The constants

This implies that:

[tex]\frac{dy}{dt} = 0[/tex]

So, we have:

[tex]y^4 - 10y^3 + 24y^2 = 0[/tex]

Factorize:

[tex]y^2(y^2 - 10y + 24) = 0[/tex]

Expand and Factorize the expression in bracket

[tex]y^2(y^2 - 6y - 4y + 24) = 0[/tex]

[tex]y^2(y(y - 6) - 4(y - 6)) = 0[/tex]

[tex]y^2(y - 4)(y - 6) = 0[/tex]

Split

[tex]y^2 =0\ or\ y-4=0\ or\ y-6=0[/tex]

Solve for y

[tex]y =0\ or\ y=4\ or\ y=6[/tex]

The above represents the constants

Solving (b): Increasing values

Here

[tex]\frac{dy}{dx} > 0[/tex]

Follow the same process in (a) but replace all = with >

i.e.

[tex]y^2(y - 4)(y - 6) > 0[/tex]

[tex]y >0\ or\ y>4\ or\ y>6[/tex]

Test the values of each inequality

For [tex]y > 6[/tex]; say [tex]y = 7[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 7^4 - 10*7^3 + 24*7^2[/tex]

[tex]\frac{dy}{dt} = 147[/tex]

[tex]147 > 0[/tex]

This is true for [tex]\frac{dy}{dx} > 0[/tex];  This implies that: [tex](6, \infty)[/tex]

For [tex]y > 4[/tex] Say [tex]y = 5[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 5^4 - 10*5^3 + 24*5^2[/tex]

[tex]\frac{dy}{dt} = -25[/tex]

This is false:

Say [tex]y = 3[/tex] i.e. [tex]y < 4[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 3^4 - 10*3^3 + 24*3^2[/tex]

[tex]\frac{dy}{dt} = 27[/tex]

[tex]27 > 0[/tex]

This is true for [tex]\frac{dy}{dx} > 0[/tex]. This implies that: [tex](0,4)[/tex]

For [tex]y > 0[/tex]

[tex]y > 0[/tex] implies that: [tex]y < 4[/tex]

For [tex]y < 0[/tex] say [tex]y = -1[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = (-1)^4 - 10*(-1)^3 + 24*(-1)^2[/tex]

[tex]\frac{dy}{dt} = 35[/tex]

This is true for [tex]\frac{dy}{dx} > 0[/tex]. This implies that [tex](-\infty, 0)[/tex]

We have: [tex](-\infty,0), (0,4)\ and\ (6,\infty)[/tex]

[tex](-\infty,0)\ and\ (0,4)[/tex] can be combined to give: [tex](-\infty,4)[/tex]

So, the interval is: [tex](-\infty,4)\ u\ (6,\infty)[/tex]

Solving (c): Decreasing values

Here

[tex]\frac{dy}{dx} < 0[/tex]

i.e.

[tex]y^2(y - 4)(y - 6) < 0[/tex]

[tex]y <0\ or\ y<4\ or\ y<6[/tex]

Test the values of each inequality

For [tex]y < 6[/tex]; say [tex]y = 5[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 5^4 - 10*5^3 + 24*5^2[/tex]

[tex]\frac{dy}{dt} = -25[/tex]

This is true for [tex]\frac{dy}{dx} < 0[/tex];  This implies that: [tex](\infty,6)[/tex]

For [tex]y < 4[/tex]; say [tex]y = 3[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 3^4 - 10*3^3 + 24*3^2[/tex]

[tex]\frac{dy}{dt} = 27[/tex]

This is false

Say [tex]y = 5[/tex] i.e.  [tex]y > 4[/tex]

This is the same as: [tex]y < 6[/tex]

So, we have the interval to be: [tex](4,\infty)[/tex]

For [tex]y < 0[/tex] say [tex]y = -1[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = (-1)^4 - 10*(-1)^3 + 24*(-1)^2[/tex]

[tex]\frac{dy}{dt} = 35[/tex]

This is false

Say [tex]y = 2[/tex] i.e [tex]y > 0[/tex]

[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]

[tex]\frac{dy}{dt} = 2^4 - 10*2^3 + 24*2^2[/tex]

[tex]\frac{dy}{dt} = 32[/tex]

This is also false

So, the intervals are: [tex](4,\infty)[/tex] and [tex](\infty,6)[/tex].

This can be merged as: [tex](4,6)[/tex]

Hence, the interval for [tex]\frac{dy}{dt} < 0[/tex] is [tex](4,6)[/tex]

How many degrees has (triangle)ABC been rotated counterclockwise about the origin?

Answers

Answer:

180°

Step-by-step explanation:

180

The total number of degrees in which has the triangle ABC been rotated counterclockwise about the origin is 180 degrees.

What is the rotation of the figure?

The transformation of a figure around a point, either clockwise or counterclockwise, is called rotation. A figure's coordinate point changes when it rotates.

About the origin, the triangle ABC has been rotated. The new triangle A'B'C' is created as a result. In the graph below,

The vertex B' points have the same but negative coordinates,

The vertex of B of the original figure points on the same line.

The coordinate point of B is (5,8).

The coordinate points of B' is (-8,-5).

The same will goes for the A and C points of the triangle

Thus the change in coordinate point after the rotation is,

coordinates of B = (5,8)

coordinates of B' = (-5, -8)

The same will follow with A and C

This is the rotation rule of 180 degrees counterclockwise.

Therefore, The triangle ABC has been rotated 180 degrees counterclockwise in all with respect to the origin.

Learn more about the rotation of figures here;

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Pls help me solve this

Answers

the answer is B, because you multiply 2x2x2x2x2x3x3/(-3)x(-3)x4x4

Please help meeeeeee

Answers

The solution is (4, 125). This means that the cost of being in soccer and band for four months is the same, $125. It's where the costs of those two clubs intersect.

Step-by-step explanation:

The solution to a system of linear equations is the point where the two functions intersect. You can see from the graph that the two lines intersect at the point (4, 125)

−8≤2/5(k−2) negative 8 is greater than/equal to 2/ fifths (k minus 2)

Answers

Answer:60

Step-by-step explanation:

The answer to your question is 60

Multiply. Express your answer in simplest form.

11 × 4

47
44
47
44

Answers

Answer:

44

Step-by-step explanation:

because 11x4 is 44...

the answer is 44

11 x 4 = 44
11 x 5 = 55

it always adds up by 1.

For whole numbers between 1 and 1001, inclusive, let m be the sum of odd numbers and n be the sum of even numbers. What is the value of m−n?

Answers

Answer:

m - n = 501

Step-by-step explanation:

Remark

The first thing you have to do is find the number of odd and even numbers. This is where you have to be careful because there is a danger of being out by one.

equation

l = a + (n - 1)*d

Solution even

l = 1000

a = 2

d = 2

1000 = 2 + (n - 1)*2

998/2 = (n - 1) * 2 / 2

499 =  n - 1

n = 500

Solution odd

l = 1001

a = 1

d = 2

1001 = 1 + (n - 1)*2

1000 =  (n - 1)*2

1000/2 =  (n - 1)2/2

500 =  n - 1

501 = n

Sum Even of even numbers from 1 to 1001

Givens

a = 2

n = 500

l = 1000

Equation

Sum = (a + l ) * n / 2

Solution

Sum = (2 + 1000)*500/2

Sum = 1002 * 250

Sum = 250500

Sum of Odd numbers from 1 to 1001

a = 1

l = 1001

n = 501

Equation

sum = (a + l)*n/2

sum = (1 + 1001) * 501

sum = (1002)*501 / 2

Sum =  251001

Answer

m - n = 251001 - 250500 = 501

MUST HELP!!!! (+50 POINTS +BRANILEST +5 STARS +THANKS ON PROFILE)

Answers

Answer:

Personification is your answer.

Hope it helps!!!

Select all statement that are true for the figure bellow plz

Answers

Answer:

oh I can't really see the image

I need help PLEASE!!!

Answers

9514 1404 393

Answer:

  y = -4/3x +23/2

Step-by-step explanation:

The tangent of interest is perpendicular to the radius at the given point on the circle. To find the perpendicular, it helps to know the slope of the radius segment. To find that, we need the center of the circle.

The center of the circle can be found by completing the square for each variable.

  (x^2 -2x) +(y^2 +4y) = 20

  (x^2 -2x +1) +(y^2 +4y +4) = 20 +1 +4

  (x -1)^2 +(y +2)^2 = 25

Comparing this equation to the standard form equation for a circle, we can find the center.

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . . circle of radius r centered at (h, k)

The center of circle P is (1, -2).

__

The slope m' of the line segment between (1, -2) and (5, 1) is given by ...

  m' = (y2 -y1)/(x2 -x1)

  m' = (1 -(-2))/(5 -1) = 3/4

The slope m of the perpendicular line is the opposite reciprocal of this, so is ...

  m = -1/m' = -1/(3/4) = -4/3

The y-intercept of the desired line can be found from ...

  b = y -mx . . . . . . . for m=-4/3 and (x, y) = (5, 1)

  b = 1 -(-4/3)(5) = 23/3

Then the equation of tangent line AB is ...

  y = mx +b

  y = -4/3x +23/3

u - 6.46 = 4.42

u = _

Answers

Answer:

u = 10.88

Step-by-step explanation:

u - 6.46 = 4.42

u - 6.46 + 6.46 = 4.42 + 6.46

u = 10.88

The number 4,250 is ten times smaller than what number?

Answers

Answer:

42,500

Step-by-step explanation:

The number which is ten times greater than 4250 is 42, 500.

What is algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The number 4,250 is ten times smaller than what number.

let the number be x.

So, x/10 = 4250

Now, make x as subject formula

x = 4250(10)

x= 42500

Learn more about Algebra here:

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Choose the THREE expressions that represent quadratic functions.

Answers

Answer:

3 / 5 and 6 options

Step-by-step explanation:

A quadratic function has the form

an² + bn + c ( a ≠ 0 )

From the given table

n² + 1 ← is in this form ( 3rd option )

n(n + 4)

= n² + 4n ← is in this form ( 5th option )

n(n + 6) + 2

= n² + 6n + 2 ← is in this form ( 6th option )

please help i'll give brainliest

Answers

Answer:

-01/0/0.8/1.2/1.6

Step-by-step explanation:

David invests $7000 in two different accounts. The first account paid 2 %, the second account paid 5
% in interest. At the end of the first year he had earned $182 in interest. How much was in each
account?

Answers

Answer:

3,990

Step-by-step explanation:

Shaquira's monthly income is $2,500. Her monthly budget is represented by the circle graph. Monthly Budget Utilities 18% Entertainment 9% Rent 51% Gasoline 7% Food 15% Which part of Shaquira's budget is equal to $175? ​

Answers

Answer:

Gasoline 7%

Step-by-step explanation:

2500 * 0,07 = 175

Number * 0, percent = answer

Gasoline is the part of Shaquira's budget which is $175.

What is Percentage?

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

As per the given data:

Shaquira's monthly income = $2,500

Monthly Budget Utilities = 18% of income

Entertainment = 9% of income

Rent = 51% of income

Gasoline = 7% of income

Food = 15% of income

To find which part is $175 let's calculate all parts:

Monthly Budget Utilities = (18/100) × 2,500 = $450

Entertainment = 9% × 2,500 = $225

Rent = 51% × 2,500 = $1275

Gasoline = 7% × 2,500 = $175

Food = 15% × 2,500 = $375

Hence, gasoline is the part of Shaquira's budget which is $175.

To learn more on Percentage, click:

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