The speed of the current in a creek is 2 mph. A person can kayak 9 mi upstream in the same time that it takes him to kayak 13 mi downstream. What is the speed of the
person's kayak in still water?

Answers

Answer 1

Let s be the speed of the person's kayak in still water.

Given, speed of current = 2 mph

Upstream distance = 9 miles

Speed of the person upstream = s-2

Time traveled upstream = 9/s-2

Downstream distance = 13 miles

Speed of the person downstream = s+2

Time traveled downstream = 13/s+2

Given,

9/s-2 = 13/s+2

Cross-multiplying,

9*(s+2) = 13*(s-2)

9s + 18 = 13s - 26

Grouping like terms together,

13s-9s = 26+18

4s = 44

s = 11 mph

Speed of person's kayak in still water = 11 mph


Related Questions

if a man spend 1/5 on food a
nd 1/3 on car and his left with #286.how much is his income​

Answers

Answer:

Step-by-step explanation:

Let income=X

Given he spend 1/5of his income on food.=X/5

He spend 1/3 of his income on car=X/3

Left with=286

So

x-(X/5+X/3)=286

x-8x/15=286

7x/15=286

X=286×15/7

X=612.85

His income is 612.85.

Based on a sample survey, a grocery store employee states that 5 out of 14 shoppers buy wheat cereal. If there are 1,400 shoppers in one day, how many do NOT buy wheat cereal?

Answers

Answer:

9,000 shoppers

Step-by-step explanation:

14,000÷14=1,000 1,000×5=5,000 14,000-5,000=9,000

Please help and explain

Answers

Answer:

c

Step-by-step explanation:

when the baby is 2 months it will prolly weigh 370

Identify the expression which represents the calculation “subtract 3 from 15, then divided by 6

Answers

Answer:

[tex]\frac{15-3}{6}[/tex]

Step-by-step explanation:

You would start by writing the expression for “subtract 3 from 15", which would be [tex]\frac{15-3}{6}[/tex], then you would add on "then divided by 6", which would make it

Answer:

Step-by-step explanation:

15-3/6

15-3 over 6

12/6

2

I will give brainliest :)

Last weekend Joe bought a magazine for $6 and some
notebooks for $3 each. You spent a total of $18. If the
equation 3x + 6 = 18 represents this situation, what does
the x variable represent?


•the coast of magazines
•the number of magazines
•the number of notebooks
•the cost of notebooks

Answers

Answer:

The number of notebooks

What is the slope and y-intercept of the equation 3(y-2) + 6(x+1) - 2 = 0?

Answers

Answer:y

y=−2x+2/3

SLOPE:-2

Y-INTERCEPT:2/3

Step-by-step explanation:

There are 207 students in 9 classes at east middle school at this rate how many students are in 6 classes

Answers

Answer:

138 students

Step-by-step explanation:

207/9 = 23

23*6=138

Answer:

138 students

Step-by-step explanation:

find slope please help I’ll mark brainliest

Answers

slope=0
explanation: its a straight line and therefore means no slope

Find all whole numbers m such that m and 5m+1 are prime numbers.

Answers

Answer:

2 only

Step-by-step explanation:

Only even PRIME number is 2.

Why do we need EVEN PRIME numbers?

Say we do 11*5 we get 55 but when we add one we get 56

Meaning: An odd number multiplied by an odd number plus an odd number equals EVEN number which isn't PRIME. 2 being the ONLY even prime is therefore the only number we can choose.

The length of a car is 18 ft and the width is 7ft.
If a model of a car is 9 in long, how wide is it?

Answers

Answer:

3.5 inches

Step-by-step explanation:

9 = 18 divided by 2

7divided by 2 = 3.5

Answer:

is 27  for the width and for how long is 9+9=18

Step-by-step explanation:

Plz help due tomorrow plz hurry

Answers

Answer:

(4,-3)

Step-by-step explanation:

Answer to this question is c

Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal. Liam ate StartFraction 4 over 9 EndFraction cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
2 and one-half
3
3 and one-half
5

Answers

3 and two half I hope you get a good answer

Answer:

3

Step-by-step explanation:

Simplify the fraction 36/8

Answers

Answer:

4 4/8

Step-by-step explanation:

36 can go into 8, 4 times. With 4 left over so the answer is 4 4/8.

Answer:

[tex]4\frac{1}{2}[/tex]

Step-by-step explanation:

The product of 3a2 – 5a + 2 and (-4x) when x = 0 is :

Answers

Answer:

the answer should be this

At midnight the temperature was ➖ 5 degrees Celsius. At noon, the temperature was 19 degrees Celsius. Which expression represents the change in temperature?

Answers

Answer:

cold and hot Is the answer

On a 1 mile track, Runner A has made 6 laps in the time it took runner B to make 2 laps. If Runner A is running 8 mph faster than Runner B, how fast is each of them running?

Answers

9514 1404 393

Answer:

A: 12 mphB: 4 mph

Step-by-step explanation:

The ratio of speeds is ...

  A speed : B speed = 6 : 2

The difference is 6-2 = 4 ratio units, which corresponds to a difference of 8 mph. Then each ratio unit stands for 8/4 = 2 mph.

The ratio of speeds is then ...

  A speed : B speed = 6 : 2 = 12 mph : 4 mph

Runner A is running 12 mph; runner B is running 4 mph.

Nikki gathered data about the length of time she spent listening to the radio and the number of commercials she heard. She organized the data in a scatter plot, where x represents the minutes spent listening and y represents the number of commercials. Then she used the graphing tool to find the equation of the line of best fit:

y = 0.338x − 1.387.

Based on the line of best fit, for approximately how many minutes will Nikki need to listen to the radio to hear 20 commercials?

A. 10
B. 55
C. 63
D. 72

Answers

Answer:

C. 63

Step-by-step explanation:

A local hamburger shop sold a combined total of 721 hamburgers and cheeseburgers on Thursday. There were 71 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?

Answers

Answer:771-71/2= 350 hamburgers and 350 +71 cheeseburgers

Step-by-step explanation:

Assume there are 11 voting districts in the county.  Polly Tician is running for office. She figures she must win at least 7 of the districts to win the election.  If she has an equal chance of 60% to win any one district, what are her chances of winning the election?

Answers

Answer:

53.3%

Step-by-step explanation:

Here we will use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

In this case, n = 11, r ≥ 7, p = 0.6, and q = 0.4.

P = ₁₁C₇ (0.6)⁷ (0.4)⁴ + ₁₁C₈ (0.6)⁸ (0.4)³ + ₁₁C₉ (0.6)⁹ (0.4)² + ₁₁C₁₀ (0.6)¹⁰ (0.4)¹ + ₁₁C₁₁ (0.6)¹¹ (0.4)⁰

P = 0.236 + 0.177 + 0.089 + 0.027 + 0.004

P = 0.533

can you help me with it please​

Answers

Answer:

[tex] \frac{20}{29}[/tex]

Step-by-step explanation:

Equation of unit circle is:

[tex] x^2 + y^2 = 1[/tex]

Plug [tex] y = \frac{-21}{29}[/tex] in above equation.

[tex] x^2 + \bigg( \frac{-21}{29}\bigg)^2 = 1\\\\

x^2 + \frac{441}{841} = 1\\\\

x^2 = 1-\frac{441}{841}\\\\

x^2 = \frac{841-441}{841}\\\\

x^2 = \frac{400}{841}\\\\

x =\pm\sqrt{ \frac{400}{841}}\\\\

x =\pm\frac{20}{29}\\\\

[/tex]

Since, point P is in the fourth quadrant.

Therefore, x - coordinate should be positive.

[tex] \huge \red {\boxed {\therefore x =\frac{20}{29}}} \\\\

[/tex]

can someone help me with this and can someone tell me what operation it is

Answers

Answer:

12.78

Step-by-step explanation:

63.65 divided by 5 = 12.7

Answer:

Equation:63.65÷5=12.73

A)$12.73

Step-by-step explanation:

Division is this symbol ÷

Your problem directly states to divide the amount in money by the amount of children

Does -3 and -2 make a right triangle

Answers

Answer:

There is no such thing as negative distances. In order to do Pythagoras theorem you need to know which one is the hypotenuse

Answer: no



Explain: you can’t make a right triangle with negative numbers. Plz mark brainlest

) Use a generating function for modeling the number of different election outcomes in an election for class president if 25 students are voting among four candidates. Which coefficient do we want

Answers

Answer:

The answer is "[tex]x^{25}[/tex]"

Step-by-step explanation:

In four candidates, student participants are voting.  

For design the range of votes, it must employ a dividend growth.

Total students = 25  

Total choices to vote = 4

The role generation is: [tex]G(x) = (1 + x+x^2 + ....+ x^{25})^4[/tex]  

In order to obtain the various results, they need to analyze the term coefficient [tex]x^{25}[/tex].

HELPP
This week, 300 tickets were sold to the school play. This is 120 percent of the number of tickets sold last week. How many tickets were sold last week for the school play?

Answers

Answer:

120/100

Step-by-step explanation:

I just know it, trust me


1. Find the value of k.
A. 17
B. 73
C. 118
D. 107

Answers

A i’m pretty sure 62-45

Answer:

Its B

Step-by-step explanation:

you have to add 45 and 62 to get 107 and then subtract 107 from 180

Hope this helps

pls mark brainliest

which expression is equivalent to 4x^2+(5x-7x^2)-4-(3x+5)

Answers

Answer:

[tex]-3x^{2} + 2x - 9[/tex]  

I hope this helps!

Jimmy, Johny and Jolly went to the market to buy some presents for Secret Santa celebration at school. Three of them together spent $560. If Johny spent twice as much Jolly did and Jimmy spent $30 less than Johny did, how much did each of them spend?

Answers

Answer:

Step-by-step explanation:

I think they both spend 300$

HURRY PLEASE HELP!!!!!!

the answer choices are
A. 55
B. 40
C. 60

Answers

Answer:

A. 55

Step-by-step explanation:

hope this helps have a good day :)

Sue and Kim loved their skittles! Before throwing the bag away, Kim noticed that there were 160 calories for 40 grams of Skittles. Using the ratio table below.help Kim determine the number of calories for 80 grams of Slides​

Answers

Answer:

320 calories

Step-by-step explanation:

Ratios.

let's say calories= c

grams = g

160c:40g

?      :80g

So if you look at the grams, you see an increase by *2.

so the get: ?

you need to multiply 160 by 2.

what is the slope of the linear table below?

Answers

Answer:

A. 2/3

Step-by-step explanation:

Plot the points, so you visualize rise/run.

When you start at the point (-3,8) it rises 2 then moves 3 to the right to get to the point (0,10). Then it rises 2 and moves 3 to the right to the point (3,12).

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