A sea lion swims in still water at the speed of 15 km/h. While hunting for fish, it swims with the current for 35 km and against the same current for 25 km. The sea lion swims with the current for the same amount of time it swims against the current. What is the speed of the current?

Answers

Answer 1

Answer:

x = 5/2 km/h

Step-by-step explanation:

Lets x be the speed of the current

The sea lion's speed with the current: 15 + x

The sea lion's speed against the current: 15 - x

Total distance in km with the current: 35

Total distance in km against the current: 25

Time with the current: 35/(15 + x)

Time against the current: 25/(15 - x)

So we do...

35/(15 + x) - 25/(15 - x) = 0

35(15 - x)/(15 + x) - 25(15 + x)/(15 - x): Having common denominators which is (15 + x)(15 - x)

525 - 35x - 375 - 25x = 0: Mutipling the (15 + x)(15 - x)to 0 getting 0

150 - 60x = 0

30(5 - 2x) = 0

x = 5/2

Answer 2

The speed of the current is 2.5 km/hr

Speed and Distances

From the given information

Lets x be the speed of the current

The sea lion's speed with the current will be 15 + xThe sea lion's speed against the current will be 15 - x

Also, we have that;

Total distance in km with the current to be 35 while the total distance in km against the current is 25

mathematically;

Time with the current = 35/(15 + x)

Time against the current =  25/(15 - x)

Equating both expression to get the value of "x

35/(15 + x) = 25/(15 - x) = 0

35/(15 + x) - 25/(15 - x) = 0

35(15 - x)/(15 + x) - 25(15 + x)/(15 - x)

Mutiplying the (15 + x)(15 - x)to have:

150 - 60x = 0

30(5 - 2x) = 0

x = 5/2

x = 2.5

Hence the speed of the current is 2.5 km/hr

Learn more on speed and distance here: https://brainly.com/question/4931057


Related Questions

HELPPP PLEASE OMGGG!!!

Answers

Answer:

Step-by-step explanation:

Has to be D Square root is always bigger.

7. -3.5, 5, 0.6,-0.2
Witch one is least to greatest

Answers

Answer:

-3.5,-0.2,0.6,5 ... is the answer

I really really need help with this! I will give brainliest! It is a 3 part question, but i really need help with it.

The graphs of y=p(x) and y=q(x) are shown. The graph of y=q(x) is a transformation of the graph of y=p(x).

a. Write a formula for the function p.

b. Describe how the graph of y=q(x) can be obtained from the graph of y=p(x).

c. Write a formula for the function q.

Answers

Answer:

Step-by-step explanation:

The function p is an absolute value equation p(x)=|x| or it could be described as the sqare root of x squared.

q(x) could be the negative of p(x) raised by two units

q(x)=-|x|+2

6x +2(5x - 6) *
Your answer

Answers

It has to be 16x-12 hope I am right

What would the economic situation of the country be if its income from overseas is more than its expenses?
A.
GNP would be higher than GDP
B.
GDP would be higher than GNP
C.
no effect on GNP or GDP
D.
GDP and GNP would be the same

Answers

Answer:

gnp would be higher than gdp

what is the value of x if 2x-41=13

Answers

Answer:

x = 27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

2x - 41 = 13

Step 2: Solve for x

[Addition Property of Equality] Add 41 on both sides:                                 2x = 54[Division Property of Equality] Divide 2 on both sides:                               x = 27

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                                                                                                2(27) - 41 = 13Multiply:                                                                                                           54 - 41 = 13Subtract:                                                                                                         13 = 13

Here we see that 13 does indeed equal 13.

∴ x = 27 is the solution to the equation.

uhhhhh why does my bottle thats called shampoo taste like soap and its fluffy it says cucumber edition i wanted to taste it but it tastes nothing like cucumber and it makes me gassy please help and explain how to stop this?????????

Answers

Answer:

Are we stopping the problem of it not tasting like cucumber or the problem that you're eating it...?

Step-by-step explanation:

Option 1: Easy Fix! Get real cucumbers and crush them into your bottle so the next time you go to eat it you will have organic, real cucumber tasting soap.

Option2: Drink it instead.

Hope I helped! :)

How many 3/8 are in 8?

Answers

Answer: 8 times

Step-by-step explanation: 3 divided by 3/8.

3 is equivalent to 3/1. And when you divide fractions, you have to multiply by the reciprocal. the reciprocal of 3/8 is 8/3

have a good day

A ball is dropped on the tiles to the right. what are the chances that it would land on a shaded tile? ​

Answers

Answer:

1/3

Step-by-step explanation:

So, we know that the ball is landing on the right side. and on the right side only 1 block is shaded, out of 3 blocks. making the answer 1/3, i hope this helped! If not, put a comment asking to clarify and i will try to help out more

PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: If I had to guess it would be the fourth one down

You go to the mall to buy a pair of shoes. The shoes are $45.00 and you have to add on 6% sales tax. How much is the total that you will pay?​

Answers

Answer:

$47.70

Step-by-step explanation:

45 increase 6% =

45 × (1 + 6%) = 45 × (1 + 0.06) = 47.7

A school fundraiser needs to raise a total of $1000. The students are selling artwork for $25 a piece. They have already raised $300 toward their goal. Write and solve an equation to represent this situation

Answers

ANSWER: 25x+300=1000

EXPLANATION: $25 is how much each artwork is worth so you multiply that by how many artworks needed to make 1000, but since you don’t know how many you need you put an x. You’ve already made $300, so you add that to 25x so you get 25x+300 and then finally because you need your outcome to be 1000 you put that as what the equation should equal to and you should get 25x+300=1000.

find the percent change from $20 to $25

Answers

Answer:

20%decrease

Step-by-step explanation:

sorry I'm bad at explaining things

A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 5 gallons per minute (gpm). In an initial study, eight runs were made. The average flow rate was 6.5 gpm and the standard deviation was 1.9 gpm. If the mean flow rate is found to meet the specification, the pump will be put into service. What is the P-value

Answers

Answer:

from the t-distribution table, at df = 7 and t = 2.23

Lies p-values [ 0.05 and 0.025 ]

Hence;

0.025 < p-value < 0.05

Step-by-step explanation:

Given that;

[tex]x^{bar}[/tex] = 6.5 gpm

μ = 5 gpm

n = eight runs = 8

standard deviation σ = 1.9 gpm

Test statistics;

t = ([tex]x^{bar}[/tex] - μ) / [tex]\frac{s}{\sqrt{n} }[/tex]

we substitute

t = (6.5 - 5) / [tex]\frac{1.9}{\sqrt{8} }[/tex]

t = 1.5 / 0.67175

t = 2.23

the degree of freedom df = n-1 = 8 - 1

df = 7

Now, from the t-distribution table, at df = 7 and t = 2.23

Lies p-values [ 0.05 and 0.025 ]

Hence;

0.025 < p-value < 0.05

which criteria are responsible for deciding whether a heterogeneous mixture Is a colloid or a suspension?
O A. whether Its composition Is uniform and transparent
O B. whether the particles remaln suspended for an extended period of time
O C. whether It can be separated into simpler substances through physical separation techniques
• D. whether the ratio of components is fixed Is

Answers

Answer:

A

Step-by-step explanation:

Hope this helped! Please let me know if I'm wrong!

The correct answer is whether it can be separated into simpler substances through physical separation techniques.

what is m CDJ?
please help me I'm super confused.​

Answers

Answer:

34 degrees.

Step-by-step explanation:

Assuming AK is a straight line and being shown angle JDK is right and 90 degrees it can be stated that 4x + (3x-8) = 90 degrees.

Drop the parentheses and get 7x - 8 = 90.

Add 8 to both sides 7x = 98.

Divide both sides by 7, x = 14.

Plug that x value into (3x-8), [3(14)-8] = 34 degrees.

Answer:

34 degrees

Step-by-step explanation:

So, because mJDK and mJDA lie on a line, they must be supplementary, and since mJDK is 90 degrees, mJDA must be too. So, you know that the combination of mADC and mCDJ must be 90 degrees. 4x+3x-8=90 simplified is 7x=98, which says that x is equal to 14. So you plug in the values for 3x-8, and voila! mCDJ is 34!

Using SOLVE, determine the number of marbles that are in a large cylindrical flask as depicted in the handout from Lesson 1. Solve by hand (or electronically) and clearly outline your individual steps. (Sketch, Organized Variables, List Egns, Vary eqns, Evaluate). Embed a photo of your work below. Click the linke, for instructions to embed. Use the following variables for your evaluate step and stay in Sl units. Diameter of Marble - 13 mm Diameter of Flask - 25 cm Height of Flask (to level of marbles) - 40 cm FYI: 10 mm -1 cm

Answers

Given :

Diameter of the flask = 25 cm

radius, r = [tex]$\frac{25}{2}$[/tex] cm

Height of the flask, h = 40 cm

We have to find out the volume of the cylinder flask

Volume [tex]$= \pi r^2h$[/tex]

           [tex]$= 3.14 \times (\frac{25}{2})^2 \times 40$[/tex]

          = [tex]$19634.95 \ cm^3$[/tex]

          = [tex]$19635 \ cm^3$[/tex]

Now calculate the volume of the marble

Given :

Diameter = 13 mm

radius, R [tex]$=\frac{13}{2} \ mm$[/tex]

Therefore, volume of the marble [tex]$=\frac{4}{3}\pi R^3$[/tex]

                                                  [tex]$=\frac{4}{3}\times 3.14 \times (\frac{13}{2})^3$[/tex]

                                                   [tex]$= 1150.35 \ mm^3$[/tex]

                                                or  [tex]$= 115.035 \ cm^3$[/tex]

Therefore, the number of the marbles [tex]$=\frac{\text{volume of flask}}{\text{volume of marble}}$[/tex]

                                                          [tex]$=\frac{19635}{115.035}$[/tex]

                                                        = 170.68

Therefore, the number of the marbles used is approximately 170.                  

I WILL MARK BRAINLIEST HELP

Answers

Answer:

Option 3 and 5

Step-by-step explanation:

The points (–5, 6) and (5, 6) are vertices of a hexagon. The line segment joining the two points forms one of the sides of the hexagon. Which statement explains the segment formed by these endpoints?

Answers

Answer:

The information about the points being vertices that make up a line to represent the side of a hexagon is irrelevant, as we are only looking for the distance of a line based on their x and y coordinates.

Look at the point's x and y coordinates:

First point:

x = -5, y = 6

Second point:

x = 5, y = 6

You'll notice that the y-coordinate for both points is the same (6 = 6). This means that the segment created by the points will be horizontal, since there is only movement on the x-axis if you trace the segment from point to point.

To find the distance between the two points, we'll only need to subtract the first point's x-coordinate from the second:

5 - (-5) = 5 + 5 = 10

The answer will be the following statement:

Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.

Step-by-step explanation:

Answer:

Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.

Step-by-step explanation:

Can someone please help me out?

Answers

Answer:wit wat?

Step-by-step explanation:

Answer:

63%

Step-by-step explanation:

You would have to set up a proportion.

so 504 of 800 = x of 100 is what you are trying to figure out.

504         x

____ = ____

800       100

To solve this logically, to get from 800 to 100 you need to divide by 8, so in order to keep with the proportion you would also have to divide 504 by 8, which results in x being 63. (Or 63%)

Shortcut: The shortcut I use when the numbers are a bit harder to work with is the cross multiply and then divide method. First you multiply the numbers that are diagonal from each other, in this case those numbers would be 504 and 100 which would result as 50,400. Then you would divide by the remaining number (800). With this method you would also arrive at x = 63. This method is just a bit quicker when it come to bigger numbers in my opinion.

Carlos drew a rectangle that
had a length of 9 inches and a
width of 4 inches.
Find the Area:
Find the Perimeter:
Find the Product.

Answers

Answer:

Area: 36 inches

Perimeter: 26 inches

Step-by-step explanation:

:)

Answer:

the area is 36 inches

the perimeter is 26 inches

the product is 132

Step-by-step explanation:

Area is length times width so.....

9×4=36

Perimeter is the distance around the shape 9+9+4+4=26

Product means to times so 80×52=132

Problem 3) A, B, and C are evenly matched tennis players. Initially A and B play a set and the winner then plays C. This continues, with the winner always playing the waiting player, until one of the players has won two sets in a row. That player is then declared the overall winner. Find the probability that A is the overall winner.

Answers

Answer:

the probability that A is the overall winner is 5/14 or 0.35714

Step-by-step explanation:

Given the data in the question;

probability that A is the overall winner P[A is the overall winner]

⇒ [tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex] [tex]P_{A}[/tex]  + ................

= [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex] + ........

P(A) = [tex]\frac{1}{2}[/tex] = [tex]P_{B}[/tex] = [tex]P_{C}[/tex]             ∴{ they are evenly matched player}

so P(A is overall winner) will be;

= ([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])⁵ + ([tex]\frac{1}{2}[/tex])⁸ + ..........+ ([tex]\frac{1}{2}[/tex])⁴ + ([tex]\frac{1}{2}[/tex])⁷ + ([tex]\frac{1}{2}[/tex])¹⁰ + .............

= ([tex]\frac{1}{2}[/tex])² [1 + ([tex]\frac{1}{2}[/tex])³ + ([tex]\frac{1}{2}[/tex])⁶ + .........] + ([tex]\frac{1}{2}[/tex])⁴[1 + ([tex]\frac{1}{2}[/tex])³ + ([tex]\frac{1}{2}[/tex])⁶ + .........]

= [ ([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])⁴ ] [ 1 / 1 - ([tex]\frac{1}{2}[/tex])³ ]

= [ ([tex]\frac{1}{4}[/tex]) + ([tex]\frac{1}{16}[/tex]) ] [ [tex]\frac{8}{7}[/tex] ]

= [tex]\frac{5}{16}[/tex] × [tex]\frac{8}{7}[/tex]

= 5/14 or 0.35714

Therefore, the probability that A is the overall winner is 5/14 or 0.35714

The probability that A is the overall winner is; 5/14

Let P be the chance that a player will win the tournament when he gets a new opportunity to play against the victor of the previous game.

Now, if the player loses, then it means that two games in a row are won by the same player, and then the tournament will be over. Thus; [tex]P_{L}[/tex] = 0

However, If the player wins first, and then loses his next game, it means that such a player will have to hope for a new opportunity. What this implies is that the player to whom he lost to will not win the next game. The probability of this happening is; [tex]P_{WLX}[/tex] = ¹/₂ ×  ¹/₂ ×  ¹/₂;

       [tex]P_{WLX}[/tex] = ¹/₈

Furthermore from that above, he will have another chance to win twice in a row which gives a probability in form of a geometric series as;

¹/₄ + (¹/₄ × ¹/₈ ) + (¹/₄ × ¹/₈² ) +  (¹/₄ × ¹/₈³ ) + ........

Now, for that series, as n approaches infinity, the sum of the series would give us;

∑ = ¹/₄(1/(1 - ¹/₈ ))

⇒ ¹/₄(⁸/₇)

⇒ ²/₇

Since player C's first game would already be against another game's winner, then it means that P is also the chance player C will win the tournament but the probability that player A will win is same as probability that player B will win which is;

[1 - (²/₇)]/2

⇒ ⁵/₇ × ¹/₂

P(A) = P(B) = ⁵/₁₄

Read more on probability at; https://brainly.com/question/24855677

A new sports equipment company, Sports EQUIP, sold 2,835 helmets in their second year

of operation. This is 225% of the number of helmets they sold in their first year. Another

sports equipment company, Sports Inc., sold 446 helmets in their second year of

operation. This is 35% of the number of helmets they sold in their first year. Which

company sold more helmets in their first year?

Answers

Answer:

sports Inc sold more helmets

Which of the following is not a desired characteristic of a ‘model?’
a. Correspondence (with real-world phenomenon being modeled).
b. Abstraction (inclusion of fewer features than the real-world phenomenon being modeled).
c. Simplification (i.e., simpler than real-world phenomenon being modeled).
d. Complexity (i.e., more complex than real-world phenomenon being modeled)

Answers

Answer:

Step-by-step explanation:

D.. Complexity (i.e., more complex than real-world phenomenon being modeled

~!!!!! LEASE HELP ME IN IN 7TH GRADE LEARNING 9TH AND 8TH !!!!!!~

Answers

Answer:

15 dollers per hour

Step-by-step explanation:

HOPE THIS HELPS!

BRAINLIST?????

Answer:

The fixed cost is 15 dollars an hour.

Step-by-step explanation:

At zero hours it is 15 dollars so y=5x+15

After each hour the price goes up by 5 dollars so it is 5 dollars an hour.

two families that live 270 mi apart plan to meet at a park located between their two homes.both leave at 9:00 am but one family averages 12 mph faster than the other family.
if the families meet at the designated spot 2 and half hours later, determine the average rate of speed for each family

Answers

Answer:

Family 1 average rate of speed was 66 miles per hour, while Family 2 average rate of speed was 54 miles per hour.

Step-by-step explanation:

Since two families that live 270 mi apart plan to meet at a park located between their two homes, and both leave at 9:00 am but one family averages 12 mph faster than the other family, if the families meet at the designated spot 2 and half hours later, to determine the average rate of speed for each family, the following calculation must be performed:

Family 1: ((270/2) + (12 x 2.5)) / 2.5

Family 1: (135 + 30) / 2.5

Family 1: 165 / 2.5

Family 1: 66 miles per hour

Family 2: (270/2) / 2.5

Family 2: 135 / 2.5

Family 2: 54 miles per hour

In this exercise we have to use the knowledge of speed to calculate the speed each family achieves, thus we find that:

Family 1 the average rate of speed for each family is 66 miles per hour.Family 2 the average rate of speed for each family is 54 miles per hour

Since two families that live 270 mi apart plan to meet at a park located between their two homes, and both leave at 9:00 am but one family averages 12 mph faster than the other family, if the families meet at the designated spot 2 and half hours later, to determine the average rate of speed for each family, the following calculation must be performed:

So looking at family 1 we found that:

[tex]F_1:\frac{ ((\frac{270}{2.5})+(12*2.5))}{2.5} \\F_1: \frac{(135 + 30)}{2.5}\\F_1: \frac{165}{2.5}\\F_1: 66 \ miles \ per \ hour[/tex]

So looking at family 2  we found that:

[tex]F_2: \frac{(\frac{270}{2})}{2.5}\\F_2: \frac{135}{2.5}\\F_2: 54 \ miles \ per \ hour[/tex]

See more about speed at brainly.com/question/7359669

Joanna earned $120 last week at her job. This is 1/4 of the amount that she earned for the month. What is the equation and the answer.

Answers

Answer:

120 x 4 = 480

Step-by-step explanation:

The equation would be 120 x 4 because it's 1/4 out of the whole sum. So 120 x 4 = 480.

A car originally priced at 58,900 is on sale at 15% off if the sales tax rate is 8.29%, what is the sale price of the can

Answers

Answer:

Your answer is 54,215( About)

Hope that this is helpful. Tap the crown button, Like & Follow me

When all the kids who tried out for the Little league were divided into teams of 16 players, there were exactly 8 teams. How many kids tried out?

Answers

Answer:

128

Step-by-step explanation:

16 x 8 = 128

Answer:

128

Step-by-step explanation:

you multiply 16 and 8 because each team has 16 and there are 8 teams so, 16×8=128

find x for this problem please!​

Answers

it should be 3 because the angles are equal from the one across from it

Answer:

3 rigth? welp hope its right

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He is arrested and put in jail without a trial.What forbidden power has Congress just used?Suspending the Writ of Habeas CorpusPassing an Ex Post Facto criminal law D. Illegally issuing a Bill of AttainderIn Griswold v. State of Connecticut, the Supreme Court ruled that married couples do have the right to use birth control. This is an example of how the ----- Amendment, introduced by James Madison, clarifies that the federal government does not have ----- power. Complete the remaining columns in the chart by calculating the missing values for each category. Round your percentages to the nearest tenth of a percent. (16 points) What is the best definition of an allusion?a reference to an outside topic, event, or persona comparison between two things that are mostly unalikea summary of an event that occurred many years agoa description of a mysterious event or situation help with algebra please 3X^2+3 and 4x^2-1 Enter your answer in simplest form in the boxes. How does energy move in relation to the medium in a transverse wave? For each of the following accounts, indicate the effect of a debit or a credit on the account and the normal balance. Debit Effect Credit Effect Normal Balancea. Accounts Payable b. Advertising Expense c. Service Revenue d. Accounts Receivable e. Retained Earnings f. Dividends What were the worst things that happened to Rifka? In the book, letters from rifka In AHIJ, ZH ZJ, JH = 10 and IJ = 14. Find the length of HI? Water pollution in Africa is caused by?and It causes...? Can someone please help me please bro. Find the value of x and the length of each side. THIS IS DUED BY 10 oclock tonight please help me out I dont really understand it What is the force that attracts metal to other metals called? 1.) magnetism 2.)gravity 3.)nuclear 4.) electricity how is finding the volume of a cone like finding the volume of a pyramid? how is it different? HELP ME PLZ!!! What type of government does Burma (Myanmar) have? A. a constitutional monarchy B. a military junta C. a presidential republic D. a parliamentary republic Please select the best answer from the choices provided A B C DThe answer is B. The Millitary Junta. I got it correct on Edge I'll mark you Brainiest and 15 points!Read the Passage.Goodbye, CodThe Atlantic cod was once the mainstay of the United States fishing industry. However, warming of the ocean along the shores of New England has caused the stock of cod to disappear almost completely. According to scientists at the Gulf of Maine Research Institute, the Gulf of Maine is heating up faster than a majority of the rest of the planet's oceans. As a result of warmer ocean waters, female cod produce fewer offspring, and these fish are less likely to survive to maturity. Even though recreational cod fishing was banned in 2014, and strict limitations were placed on the number of fish commercial fishermen could catch, these measures have not been enough to protect the cod.What is the main idea of the passage?A) Because cod use to be abundant in the Atlantic, it was once the backbone of the U.S. fishing industry.B) Female cod are producing fewer offspring in the Gulf of Maine.C)Because the Gulf of Maine is warming unusually quickly, Atlantic cod are disappearing. How are insulin and estrogen similar in their functions for an organism?A.Both store information in the organism.B.Both stimulate another organ to perform a function,C.Both support the structure of the organism.D.Both store energy for the organism.Remember to read questitables and answer choicecarefully If necessary, reathem more than once tosure you understand whatquestion is asking