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

The second angle of a triangle is twice as large as the first. The measure of
the third angle is 20 degrees greater than the first. How large are the angles?

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The angels are 60, 40 and 80. Plz give brainliest!

Help me please .......no link What is the slope of the line given by the equation below?
y = 12x - 23

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Solve for x and y: x= 5 – 2y 4y = 15 - 2x 0 x = 5, y = 0​

Answers

Answer:

i think there is no solution

Ms McNaughton solved the equation below:
8x = 64
8x − 8 = 64 − 8
x = 56
Did she solve the equation correctly or incorrectly? (1 points) If the solution is correct, explain the steps she took to find the solution. If the solution is incorrect, show the correct steps to solve the equation. (4 points)

Answers

Answer:

she solved it incorrectly

Step-by-step explanation:

8x=64

8x÷8=64÷8

x=8

Answer:

no she did not

8x=64

÷8 ÷8

x=8

Step-by-step explanation:

simple

A gas can holds 10 liters of gas. How many cans could we fill with 35 liters of gas?cans

Answers

Answer:

7/10

Step-by-step explanation:

We need to divide the 7 liters by the 10 liters that each can holds.

Please help i'll give brainliest

For a television commercial 20 cars will be parked bumper to bumper to form a line. Which of the following would be the approximate length of the line of cars?
1/2 mile
1/8 mile
800 feet
300 feet

Answers

Answer:

300'

Step-by-step explanation:

Answer:

1/8 mile

Step-by-step explanation:

Because if you do the math the avarge car is 4.7 feet multiply that by 20 and there is your answer

Sales Fadil sells televisions. He earns a fixed amount for each television and an additional $25 if
the buyer gets an extended warranty. If Fadil sells 17 televisions with extended warranties, he
earns $1,785. How much is the fixed amount Fadil earns for each television?

Answers

Answer:

$80

Step-by-step explanation:

hi can you please help me with my work​

Answers

It would be the one under you have chosen because the solution to the problem is x<16. So we know that “x” has to be less than 16. So the arrow should be pointing left.


Have an awesome day and I hoped that helped <3


The population of a city is 40,000 and the annual growth rate is 1.6%. Write an equation to model the population y after x years.

Answers

Y=40,000(1.016)^x

Explanation:

years= x

Predicted population= y

Initial population= 40000

you can find the population y after x years with the help of this function

For example:

If we want to know the population after 5 years, put x=5 and find y

 

Y after 5 years= 40000(1.016)^5

                      =43304


Find the measure of the angle indicated. Assume that lines which appear tangent are tangent.

will give 20 points :)

Answers

Answer:

D. 69°

Step-by-step explanation:

I think you divide 222° by 2, which equals 111, then subtract that from 180°, which equals 69°.

A box plot is shown below:

A box and whisker plot is shown using a number line from 20 to 45 with primary markings and labels at 20, 25, 30, 35, 40, 45. In between two primary markings are 4 secondary markings. The box extends from 25 to 39 on the number line. A line in the box is at 33. The whiskers end at 20 and 44. The title of the art is Visitors at the Exhibition, and below the line is written Number of Visitors.

What is the median and Q3 of the data set represented on the plot?

Median = 30; Q3 = 44
Median = 36; Q3 = 44
Median = 30; Q3 = 39
Median = 36; Q3 = 39

Answers

Answer:

c

Step-by-step explanation:

Help please explain how you got the answer

Answers

Answer: V≈900 ft³

Step-by-step explanation:

Formula

V=πr²h

Given

r=5 ft

h=12 ft

Solve

V=πr²h

V=π(5)²(12)

V=π(25)(12)

V=300π

V≈300(3)

V≈900 ft³

Hope this helps!! :)

Please let me know if you have any questions

A portfolio is efficient if which of the following is true?

Answers

Answer:

In economics, a portfolio is a term for a specific set of stocks, bonds, shares, and other securities owned by an investor. In general, the investor seeks to compile and diversify a portfolio of securities that offers maximum profitability and at the same time is diverse, in order to minimize possible risks. In general, these types of portfolios are considered efficient, as they do not leave the investment risk tied to a single factor. However, these two goals often go against each other, so the composition of the portfolio means a certain compromise.

If the volume of a solid cone is 440cm3 and
its perpendicular height is 14cm. Determine
its base diameter to the nearest whole
number
O a. 5.5cm
b. 12cm
С. 6cm
d. 11cm​

Answers

Answer:

11

Step-by-step explanation:

1/3 nr^2h = volume of a cone

1/3 x 22/7 x 14 x r^2 = 440

r^2 = 440 x 3 x 7/22 x 1/14

r^2 = 30

r = 30

r = 5

The base diameter to the nearest whole number is 11cm

The volume of a cone

The formula for calculating the volume of a cone is expressed as:

V =1/3πr²h

Given the folllowing parameters

V = 440cm^3

h = 14cm

Substitute the given parameters

440 = 1/3(22/7) * 14r²

440 = 44/3 * r²

10 = r²/3

r² = 30

r = 5.5cm

d = 11cm

Hence the base diameter to the nearest whole number is 11cm

LEarn more on volume of cone here; https://brainly.com/question/1082469

how do you solve
7x - 4y = 10 ?
just seeing how to sole this equation

Answers

Answer:

this is a simultanious equation and u need one more equation to do it

Step-by-step explanation:

there are many answers if u dont have the second equation.

You can just substitute a number in x then find y

eg.

x= 12/7 , y =0.5

Answer:

1. 7 x - 4 y = 10. 7x−4y=10. Add 4y to both sides. Add 4y to both sides.

2. 7x=10+4y. 7x=10+4y. The equation is in standard form. The equation is in standard form.

3. 7x=4y+10. 7x=4y+10. Divide both sides by 7. Divide both sides by 7.

4. \frac{7x}{7}=\frac{4y+10}{7} 77x​=74y+10​ Dividing by 7 undoes the multiplication by 7.

a square on a coordinate plane has vertices at (4,-5) and (4,2). what is the perimeter of the square?​

Answers

Answer:

28

Step-by-step explanation:

2-(-5)=7--one side

square (all sides are the same)

4 sides in total

7x4=28

Which function represents the exponential function f(x) = 3x after a vertical stretch by a factor of 8 and a reflection across the x-axis?
A. g(x) = 3−8x
B. g(x) = −38x
C. g(x) = 8 • 3−x
D. g(x) = −8 • 3x

Answers

The answer should be letter A I believe correct me if I’m wrong.

If the farmer has 276 feet of fencing, what are the dimensions of the region which enclose the maximal area?

Answers

Answer:

41 ft wide and 61.5 ft long

Step-by-step explanation:

5. The Neutrality Acts allowed the U.S. to loan money to other countries at
War.
A. True
B.False

Answers

False is the answer to your question

Which number is equivalent to (6^2)^0

Answers

Answer:

B

Step-by-step explanation:

Anything to the 0 power is 1

find the side lengths ! help pls

Answers

(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:

180 - (70 + 70) = 180 - 140 = 40

40° is your answer.

m∠X = 40°

(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:

180/3 = 60

60° is your answer.

m∠V = 60°

~

Evaluate tan(sin-1(-5/13)). Enter your answer as a fraction using the slash bar.

I will mark brainliest! Thank you!!

Answers

Hope you get it right
Sorry if it doesn’t help

Are the fractions 9/6 and 6/4 equivalent?
SOLUTION:



IF YOU GIVE ME AN ANSWER GARBAGE I WILL REPORT YOU



THANK, ;)

Answers

No they are not because 9/6 cannot be reduced to 6/4

Answer: 9/6 and 6/4 are equivalent

Step-by-step explanation:

If you simply 9/6, you get 1 3/6

Simplify 6/4, you get 1 2/4

3/6 and 2/4 both equal 1/2, so 9/6 and 6/4 both equal 1 1/2. Therefore, they are equivalent.

Hope this helped ;D

2x + 9
8x + 1
Solve for x

Answers

Answer:

2x +9+8x+1=180

This on picture answer.

A bookcase is 8 feet high, 1 foot deep, and 2 feet wide. How much space (in volume) does the bookcase take up?​

Answers

Answer:

The volume of the bookcase is 16 cubic feet.

Step-by-step explanation:

Hey there!

We are given three values (in feet) and asked to find the volume of a bookcase:

8 feet high1 foot deep2 feet wide

We want to find the volume. In order to do this, we need to define:

the formula for finding the volume of a rectangular prismwhat values our data fits with

Therefore, the formula for volume is: [tex]v = l \times w \times h[/tex]

[tex]v[/tex] - volume[tex]l[/tex] - length[tex]w[/tex] - width[tex]h[/tex] - height

Finally, we need to assign each number value to either the length, the width, or the height.

Wide is a synonym for width, so our width is 2 feet.

Deep is another way of saying the space inside of the bookshelf, which would be the length (1 foot).

High would refer to how tall something is, so the height is 8 feet.

Now, let's plug in our values and solve for [tex]v[/tex].

[tex]v = l \times w \times h[/tex][tex]v = 1 \times 2 \times 8[/tex][tex]v = (1 \times 2) \times 8[/tex][tex]v = 2 \times 8[/tex][tex]v = \text{16 cubic feet}[/tex]

It's important to note that since we are finding volume, our measurement of feet becomes cubic feet.

Therefore, the volume of the bookcase is 16 cubic feet.

Question
What is the net signed area between f(x) = 2x + 3 and the x-axis over the interval (-4,2]? Do not include any units in
your answer
Provide your answer below:

Answers

Answer:

Step-by-step explanation:

2 units squared.

Explanation:

You can go about this in two ways: Algebra and Integrals.

Algebra

y = 2x-6 is linear, thus if we take the value over the x interval [2,4] we can use geometry to calculate the area.

graph{2x-6 [-2.27, 7.73, -2.18, 2.82]}

You can see two triangles in the graph (you could also find this algebraically). Thus, you can calculate the area.

=

2

(

1

2

b

h

)

=

2

(

1

2

1

2

)

=

2

square units

Integrals

An integral gives the area under the curve. Remember though that if a function goes below the X axis, the integral is negative Thus you have to do two separate integrals based on the X intercept.

finding the X intercept (that is where y = 0)

2

x

6

=

0

x

=

3

when

y

=

0

When

x

<

3

, then y is negative. Thus, we have to find the negative integral from 2 to 3 and the positive integral from 3 to 4

=

3

2

2

x

6

d

x

+

4

3

2

x

6

d

x

=

[

x

2

6

x

]

3

2

+

[

x

2

6

x

]

4

3

=

[

9

18

4

+

12

]

+

[

16

24

9

+

18

]

=

[

1

]

+

[

1

]

=

2

units squared. And Tada, that is the same as the other answer!

Using integrals, it is found that the area of the function is of 6 squared units.

The area of a function f(x) over an interval [a,b] is given by:

[tex]A = \int_{a}^{b} f(x) dx[/tex]

In this problem:

Interval (-4, 2), thus [tex]a = -4, b = 2[/tex].Function [tex]f(x) = 2x + 3[/tex], thus:

[tex]A = \int_{-4}^{2} 2x + 3 dx[/tex]

[tex]A = x^2 + 3x|_{x = -4}^{x = 2}[/tex]

[tex]A = 2^2 + 3(2) - [(-4)^2 + 3(-4)][/tex]

[tex]A = 4 + 6 - 4[/tex]

[tex]A = 6[/tex]

The area is of 6 squared units.

A similar problem is given at https://brainly.com/question/20733870

Could someone verify this answer if you don’t know the answer don’t say anything I don’t want to download the answer if you can’t tell me don’t say anything the question says find the area of the compound figure

Answers

Answer:

288

Step-by-step explanation:

8 x 3 x 3 x 6 = 288

Answer:40
The rectangle can be sectioned into two, with one of the areas being 3x8=24 and the other 3x6=18, add those together 24+18= 40cm

3. Solve - 3/5t = 15
O t = 25
O t = -25
O t = 15
O t = -15

PLEASE HURRY ILL GIVE 10 POINTS AND BRAINLYEST

Answers

Answer:

t= - 15

Step-by-step explanation:

(-3/5)t = 15

Multiply both sides by 5:

-3t=75

Divid both sides by -3:

t=-15

Find two rational numbers between -1,36 and -1,35​

Answers

Step-by-step explanation:

-1,355= -1355/1000

-1,352= -1352/1000

The perimeter of a triangle is 61 in. The shortest side is 8 in. less than the longest side. The middle side is 19 in. less than the combined lengths of the shortest and longest sides. Find the lengths of the three sides.

Answers

Answer:

since the lengths are consecutive odd numbers and the perimeter of the triangle is 51cms. Let x be the unknown length.

so 3x=51 ; x=17 . now the sides can be 15cms, 17cms, 19cms.

check Add them up it is 51cms  which is the perimeter and the consecutive odd numbers

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