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

Select the correct answer.

The surface area of a cube is 600 square inches. What is the area of one of its faces?

A 6 square inches

B. 36 square inches

C. 75 square inches

D. 100 square inches​

Answers

Answer:

D=100 square inches

Step-by-step explanation:

Area of a square=side^2

Area of a cube=6xside^2

let the side be a

6a^2=600

a^2=600/6

a^2=100

Answer:

im on it its d

Step-by-step explanation:

LMC given numbers 60 and 80​

Answers

Question:LCM of 60 and 80

240 is answer

LCM : least common factor
The least common multiple is 240.

true or false ------- y-intercept is where a point crosses the x-axis

Answers

Answer:

false

Step-by-step explanation:

that would be x-intercept

The y -intercept is the point where the graph crosses the y -axis. So, the statement is true. ANSWER:
True

If 3x + 7 = 5 for some value of x, then what does the expression 6x +17 equal for the same value of x?

Answers

Answer:

13

Step-by-step explanation:

First, double the first equation.

If 3x+7=5, then 6x+14=10

Since they are asking for 6x+17, the answer is 10+3=13

Hope I helped!

13 hope this helps!!!!

Can someone help me plz

Answers

Answer:

i think the answer is 7

The answer should be 7

8 less than the length L

Answers

Answer:

L-8=?

Step-by-step explanation:

Which transformations map the strip patterns onto itself?

Answers

I think it’s b, a horizontal translation and a 180 degree rotation

Answer: D.

A horizontal translation and a glide reflection.

how many eights are there in three and a quater​

Answers

6 .. hope that answers ur question :)

I don't know how to solve this.Please help!
3^x=2

Answers

So 3^X= 2 is an exponential equation. The inverse of an exponential in ln. so take ln of both sides to solve.

Another way is to change the exponential into a log equation
So that would be log with base 3 to the power of 2 equals x.

Use a calculator, spreadsheet, or another tool to solve for the unknown sides of the given right triangle. The length of the hypotenuse is 12. a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B. Round your answers to four decimal places.

Answers

Answer:

27

Step-by-step explanation:

2 TIMES 3

The length of the side a and b is 2.0837 and 11.8176 respectively.

Length of side a and b to be determine, hypotenuse is 12 and a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B.

What is trigonometry?

Trigonometry is branch of mathematics that helps in elevation and angle problems.

Let assume that one angle of triangle is right angle.
So in right angles triangle,
hypotenuse = 12
cos10 =  length of b /12
length of b = 12 cos10
length of b = 11.8176

Now,
sin 10 =length of a/ 12
length of a = 12 sin10
length of a = 2.0837

Thus, the length of the side a and b is 2.0837 and 11.8176 respectively.

Learn more about trigonometry here:
https://brainly.com/question/26719838

#SPJ2

5 + x + 3 + 2x = -2(4x - 15) show the work

Answers

Answer:2

Step-by-step explanation:

sorry if it seems messy

help me answer this question please​

Answers

Answer:

f'(2) = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Calculus

The definition of a derivative is "the slope of the tangent line".

Derivatives of constants are 0.

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 4x + 2

Step 2: Find 1st Derivative

Basic Power Rule:                    f'(x) = 2·3x²⁻¹ - 1·4x¹⁻¹Simplify:                                    f'(x) = 6x - 4

Step 3: Find tangent slope

Define:                    f'(x) = 6x - 4, x = 2Substitute:              f'(2) = 6(2) - 4Multiply:                  f'(2) = 12 - 4Subtract:                 f'(2) = 8

Step 4: Identify

f'(2) = 8 tells us that at x = 2, the slope of the tangent line is 8.

Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?

Answers

Answer:

No, it isn't.

Step-by-step explanation:

We have [tex]V=IR^{2}[/tex] and let [tex]H[/tex] be the subset of [tex]V[/tex] of all points on the line

[tex]4x+3y=12[/tex]

We need to find if [tex]H[/tex] is a subspace of the vector space [tex]V[/tex].

In [tex]IR^{2}[/tex] all the possibilities for own subspace of the vector space [tex]IR^{2}[/tex] are :

[tex]IR^{2}[/tex] itself.The vector [tex]0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right][/tex]All lines in [tex]IR^{2}[/tex] that passes through the origin  (  [tex]0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right][/tex]  )

We know that [tex]H[/tex] is the subset of [tex]IR^{2}[/tex] of all points on the line [tex]4x+3y=12[/tex]

If we look at the equation, the point [tex]\left[\begin{array}{c}0&0\end{array}\right][/tex] doesn't verify it because :

[tex]4x+3y=12\\4(0)+3(0)=12\\0=12[/tex]

Which is an absurd. Therefore, [tex]H[/tex] doesn't contain the origin (and [tex]H[/tex] is a line in [tex]IR^{2}[/tex]). Finally, it can't be a vector space of [tex]V=IR^{2}[/tex]

Find the product. Enter your final answer as a simplified fraction.
-1/8•7•2/5=

Answers

Answer:

-7/20  

Step-by-step explanation:

Answer:

-1/140

Step-by-step explanation:

-1/8*7*2/5

-7/8*2/5

-7/20

A company that makes​ hair-care products had 6,000 people try a new shampoo. Of the 6,000 ​people, 48 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answers

Answer:

I would say 2880 sorry if am wrong

Step-by-step explanation:

6000*48=288,000 then divide by 100 because percent means 100. 288,000/100= 2,880. hope this helps can I get brainlist and add effort before you come to look for anwer.

What is the nth term rule of the linear sequence below?
-9, -5, -1,3,7,...

Answers

Answer:

Step-by-step explanation:

Given sequence

-9, -5, -1,3,7,...

Is A.P(,airthmetic progression)

So

nth term of an A.P =a+(n-1)d

Where a=first term (-9)

D=difference=(-5)-(-9)=4

So nth term=-9+(n-1)4

=4n-13

Answer is 4n-13

You burn 4 Cal/min walking and 10 Cal/min running. You walk 10 to 20 min each day and run 30 to 45 min each day. You never spend more than an hour running and walking together. How much time should you spend on each activity to maximize the number of Calories you burn? Will you have exercised enough to burn off a 500-Calorie meal? A. 50 minutes running, 10 minutes walking; yes. B. 45 minutes running, 15 minutes walking; yes. C. 40 minutes running, 20 minutes walking; no. D. 30 minutes running, 30 minutes walking; no.

Answers

Answer:

I don’t know how to do the explanation but the answer is 15 min waking and 45 running. I got it right on the test

Step-by-step explanation:

What is the following product?
(5-12-4/5)(512-43
PLEASE HELP ):

Answers

Answer:

-3658.2

Step-by-step explanation:

help, I’ll give brainliest and thanks

Answers

Answer:

1/2

Step-by-step explanation:

Rise over Run... 2/4

Find the value of n.
9 x -1 x n = 9 x -3

Answers

n=3 would be the answer

Answer:

n=3

Step-by-step explanation:

9 x -1 x n = 9 x -3

-9n=-27

9n=27

n=27/9

n=3

So value of n is 3

Multiply 8674 x 678 is what

Answers

Answer:

5880972

hope it helps..

how do u find the third side

Answers

Answer:

Square root of 49

The missing side is 7

Step-by-step explanation:

With the Pythagorean theorem.

25^2= 625

24^2= 576

Square root of 49=7

The missing side is 7

Graph the greatest integer, f(x) = [x]

Answers

Answer:

Step-by-step explanation:

A downtown parking garage charges individuals to park a car according to the following rate schedule: $1.00 for the first hour, then $2 for each subsequent hour until the daily maximum charge of $9.00 is reached. These charges are represented in the graph below.

which of the following is true?

Answers

Answer:

In the graph, a white dot means that the value does not belong to the set, while the colored dot means that the value does belong.

Let's analyze each statement (from top to bottom)

1)The x-axis represents the number of hours, and the y-axis the charge.

Then let's find x = 2.

You can see that there is a colored dot at y = $3, and a white dot at y = $5.

Then the price for exactly two hours is $3, not $5.

Then this first statement is wrong.

2) You can assume that 20 minutes is in between x = 0 and x =1, then from that point, you can see that the equivalent value of y is $1. Then the individuals who park only for 20 minutes will be charged with $1,

This statement is wrong.

3) 1 hour and 15 minutes is in between 1 and 2 hours.

And as you can see, for 1 < x ≤ 2, the price is $3. Then this statement is correct.

4) Here we have x > 4.

In the graph you can see that all values of x > 4 are mapped into the black part of the graph, which is equivalent to the maximum charge of $9.

Then this statement is correct.

What would the set notation for the domain and range of the function, (-3, 6), (-2, -3), and (-1, 6)

Answers

Answer:

Domain: {-3, -2, -1}

Range: {-3, 6}

General Formulas and Concepts:

Domain is the set of x-values that can be inputted into function f(x). Range is the set of y-values that are outputted by function f(x).

Step-by-step explanation:

Step 1: Define

(-3, 6)

(-2, -3)

(-1, 6)

Step 2: Identify x-values

x = -3, -2, -1

Step 3: Identify y-values

y = -3, 6, 6

Is (2, 2) a solution of the inequality y < 3x - 5?

Answers

Answer: it’s not a solution or C

Step-by-step explanation:

the given point is (2,2) there is a x value and a y value

so 2 < 3(2)-5 *we know 3*2 is 6 and 6-5 is 1*

2 does NOT equal to 1

Answer:

Third option, It is not a solution.

Step-by-step explanation:

Which equation has the solution x=3

Answers

Answer:

6-x=3  4-x=1 96 divided by x = 32

Step-by-step explanation:

Hope this helped! If it did, please mark me as brainilest and give a shot at my 100 points homework/puzzle. Here is the link: https://brainly.com/question/19021808 Thanks!

-4-5(2x -4) = 76
-6
9
-4
7

Answers

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

-4 -10x +20 = 76 . . . . . eliminate parentheses

-10x = 60 . . . . . . . . . . . subtract 16

x = -6 . . . . . . . . . . . . . . divide by -10

a company has recently been hiring new employees. today the company has 26% more employees than it did a year ago. if there are currently 69300 employees, how many employees did the company have a year ago

Answers

They had 55,000 employees a year ago.

Answer:

Did you just assume my gender?

Mark me brainliest please :)

Love ya!

Step-by-step explanation:

Please answer this question.... You enter a room. 2 dogs, 4 horses, 1 giraffe, and a duck are lying on the bed. 3 chickens are flying over a chair. How many legs are on the ground?​

Answers

Answer:

36 legs

Step-by-step explanation:

Including the chair and yourself

6. You and the legs of the chair.
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