in her kayak bunny can travel 70 miles downstream with the current in 5 hours. the return trip against the current takes 7 hours. find the speed of the kayak in Stillwater and the speed of the current​

Answers

Answer 1

9514 1404 393

Answer:

kayak: 12 mphcurrent: 2 mph

Step-by-step explanation:

Bunny's rate downstream is ...

  (70 mi)/(5 h) = 14 mi/h = k + c

Bunny's rate upstream is ...

  (70 mi)/(7 h) = 10 mi/h = k -c

The kayak speed is the average of these:

  (14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2

  (24 mi/h)/2 = 2k/2

  12 mi/h = k

Then the current speed is ...

  c = k -10 = 12 -10 = 2 . . . . mi/h

The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.

_____

Additional comment

World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.


Related Questions

simplify 14x(7xy^14)(-9x^-7 y^-3)

Answers

Answer:

-882y^11/x^5

Step-by-step explanation:

Order these numbers from least to greatest:
|-17|
|-18|
-18
|19|
20

Answers

Answer: -18, l-17l, l-18l, l19l, 20

Step-by-step explanation: You can just think of the ones in absolute value brackets as positive.

(a) Points and are shown on the number line. Part A Find the distances between points and and between points and . Show your work or explain your answers. Refer to the number lint in your explanation. Enter your answers and your work or explanation in the box provided.

Answers

Step-by-step explanation:

Im donating points thank you

Answer:

do you have a graph? we can't do it unless you have one.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation of the piecewise function represented in the graph to its corresponding piece of the domain.

Answers

Answer:

one is 3-x

two is 1

three is x

four is 5-x

hope it helps :)

Answer:

1: 3-x

2: 1

3: x

4: 5-x

Step-by-step explanation:

Hope this helped

PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED

Answers

Answer: 13

Step-by-step explanation: Hope this help :D

1. Given: f(x)= x* - 6x² + 7x-6
(a) Using correct limit notation, describe the end behavior of f(x).

Answers

NNANANDNXJJWJSnJnmakakakajwjjsjsjajs

Please help with this I don’t know how to work with slopes

Answers

Answer:

1/2x

Step-by-step explanation:

Slope is

Rise over run  In a fraction the rise is the numerator and the run is the denominator

From getting one point to another

You rise 1 and run 2

Which is the equivalent of 1/2

Answer:

Step-by-step explanation:

(-1, -4) (1, -3)

(-3 + 4)/(1 + 1) = 1/2

Help me with this question. Thx!

Answers

what the person said above me ( a function)


I need questions 1 , 2 ,3 answered please :)

Answers

9514 1404 393

Answer:

54°both are 73°x = 12

Step-by-step explanation:

Some useful relations are ...

  A triangle inscribed in a semicircle is a right triangle.

  Acute angles in a right triangle are complementary.

  An inscribed angle is half the measure of the arc it intercepts.

  The sum of arcs around a circle is 360°; 180° around a semicircle.

__

1. Arc DF is twice the marked inscribed angle, so is 126°. Arc FE is supplementary to that, so is ...

  arc FE = 180° -126°

  arc FE = 54°

Alternate solution: arc FE is twice angle D, which is the complement of 63°.

  2(90° -63°) = 2(27°) = 54° = arc FE

__

2. Arc GJ = 360°-68° -31° -115° = 146°

  angle GHJ = angle GIJ = 146°/2 = 73°

__

3. arc UT = 2(90° -43°) = 94°

  9x -14 = 94

  9x = 108 . . . . . add 14

  x = 12 . . . . . . . . divide by 9

eight times the reciprocal of a number equals 4 times the reciprocal of 2. find the number

Answers

Answer:

The number is 4

Step-by-step explanation:

Let the number  = 'x'

Reciprocal of 'x' = 1/x

Reciprocal of 2 = 1/2

8 times the reciprocal of 'x' = [tex]8*\frac{1}{x}\\[/tex]

[tex]8*\frac{1}{x}= 4* \frac{1}{2}\\\\8*\frac{1}{x}= 2\\[/tex]

Now multiply both sides by x

[tex]8*\frac{1}{x}*x = 2*x\\\\8 = 2x[/tex]

Now divide both sides by 2

[tex]\frac{8}{2}=\frac{2x}{2}\\\\4 = x[/tex]

x = 4

Someone help me with this please I will mark Brainliest if correct.

Answers

Answer:

Add the formula do the math!

I will give you the answer later!

P.s maybe after you tell me if you figured it out!

Step-by-step explanation:

Have a great week!

Hope i helped! <3

Tell me if so!

Your welcome!

Byes! :)

-Sincerely, Brainliest!

5. Casey's bank account offers him 2% interest every year, given by the equation
g(x)= 1.02. If Casey deposits $5,625 in his bank account, which equation
represents the amount of money that will be in his account after 2 years?

Answers

Answer:

Casey will have 5852.25 in his bank account after 2 years.

Step-by-Step Explaination:

2%=0.02

0.02*5625=112.5

112.5+5625=5737.5

0.02*5737.5=114.75

114.75+5737.5=5852.25

Find the indicated side of the
right triangle
60°
7
30°
х
X=
= [?] )

Answers

The value of x is 14 units.

Trigonometry values

When handling and dealing with difficulties involving the measurement of length and angles of a right-angled triangle, trigonometric values of ratios such as sine, cos, tan, cosec, cot, and secant come in handy. The trigonometric function is widely used to solve trigonometric issues at 0°, 30°, 45°, 60°, and 90°.

How to determine value of x?

We know for angle of 30° the base is 7 and perpendicular is x

then

sin30° = 7/x

      [tex]\frac{1}{2} =\frac{7}{x}[/tex]

       x = 7

hence, the value of x = 14 units

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please help i have been stuck on this for 3 hours

Answers

Answer:

The one you selected is the correct one

Answer:

(5/7) x 56 = 40 is correct

Step-by-step explanation:

How have you been stuck on this for 3 hours

Question:

Simplify. √(36)²

Answers

Answer:

36

Step-by-step explanation:

sqrt(36)^2

36

I hope this helps

Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs the same amount, how much is 5 pounds of gummy candy?

Answers

Answer:

$7.5

Step-by-step explanation:

Cost of 5 pounds of gummy

=$(4.5/3)(5)

=$7.5

your answer is 7.5 gummy bears

What's the measure of X

Answers

the triangles are both ratios of each other so the angles are the same

180-25-85= 70°

the answer is A 70°

Volume by multiplying area of base times height

Answers

Answer:v= x a h add then multiply

Step-by-step explanation:

Find f(3.5) if f(x) = (4x - 2)/10

Answers

Answer:

when f=3.5, f(x) = 1.2

Step-by-step explanation:

[4(3.5) -2] / 10 = 12/10 = 1.2

Can someone help me pls

Answers

Answer:

I’m not sure what the question is asking, the picture is blurry, Nassiya.

Step-by-step explanation:

Find the values of the variable In The figure

Answers

Answer:

A. 18

Step-by-step explanation:

Sum of the measures of all the angles of a quadrilateral is 360°

Therefore,

[tex]2m \degree + 8m \degree + 6m \degree + 4m \degree = 360 \degree \\ 20m \degree = 360 \degree \\ 20m = 360 \\ m = \frac{360}{20} \\ m = 18[/tex]

the unit rate 18 meters in 15 minutes

Answers

Answer:

1.2 meters per minute

Step-by-step explanation:

18÷15/15÷15

1.2 meters/1 minute

1.2 meters/minute

Brainliest for correct answer

Answers

the answer is D i’m sure

find the surface area of puzzlecube 5.7 ​

Answers

Answer:

9units squared

Step-by-step explanation:

A standard rubix cube is 3 by 3 and therefor 3 x 3 is 9

5. How many ways can 12 swimmers finish in first, second, and third place? Combination or permutations

Answers

Answer:

36

Step-by-step explanation:

Each swimmer has a chance to get 1st,2nd, or 3rd place so im guessing it's 12x3 which is 36

Use the diagram to complete the statements.
The measure of minor arc EF i
The measure of angle DAB is
35.5
.5
71
109

Answers

Answer:

EF is 109

DAB is 54.5

Step-by-step explanation:

Applying the central angle theorem, the correct statement would be:

Measure of minor arc EF = 109°Measure of angle DAB = 54.5°

What is the Central Angle Theorems?

The central angle theorem states that:

Measure of intercepted arc = 1/2(measure of inscribed angle)Measure of central angle = measure of intercepted arc

Thus:

Measure of minor arc EF = m∠ECF = 109°

m∠DAB = 1/2(109°) [m∠ECF = m∠BAD = 109°]

m∠DAB = 54.5°

Therefore, applying the central angle theorem, the correct statement would be:

Measure of minor arc EF = 109°Measure of angle DAB = 54.5°

Learn more about central angle theorem on:

https://brainly.com/question/5436956

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34). If one ticket is purchased, what is the probability of winning the jackpot? Testir​

Answers

This can be found by finding 44 chosen 5 at a time times 1/32.
That would be
44! / (44-5)!(5!) * 32 =
1 chance in 34,752,256

The probability of winning the jackpot is 1/32728332.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).

Total number of white balls = 43

Number of combinations of selecting 5 from 43 = 43C₅  

                                                                                = 43! / (5! × 38!)

                                                                                = 962598

Total number of gold balls = 34

Number of combinations of selecting 1 from 34 = 34C₁

                                                                               = 34

Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332

There is only 1 way for which the player wins the jackpot.

Probability of winning the jackpot = 1/32728332

Hence the required probability is 1/32728332.

Learn more about Combinations here :

https://brainly.com/question/13027684

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what is the range of the following data set?​

Answers

Answer:  The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

1. Write an integer that can
represent 200 years ago?


Answers

200 ??

200 is an integer

or 20

or 2

Which graph represents this system? y=5x+3 3 y=zx-1​

Answers

Answer:

where's the two graphs

Step-by-step explanation:

where are the two graphs that we need to choose from??

Answer:

[tex]y = 5x + 3[/tex]

[tex]3y = zx - 1[/tex]

Step-by-step explanation:

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