Jesse is traveling up and down a stream in a kayak. He can paddle the kayak at an average rate of 5 miles/hour, and the round-trip is a total distance of 16 miles. When cis
the speed of the current, this expression can be used to find the difference of the time it takes Jesse to travel upstream (against the current) and downstream (with the
current).

8/5-c - 8/5+c

Find the difference in simplest form.

Answers

Answer 1

Answer:

16c

Step-by-step explanation:

Answer 2

The simplest form is: [tex]\frac{16c}{25-c^2}[/tex].

Total distance = 16 miles.

So each distance = 16/2=8 miles.

Given: He can paddle the kayak at an average rate of 5 miles/hour.

And the speed of the current is = c

So the speed while going up = (5-c)

The speed while going down=(5+c).

So the time while going up = [tex]\frac{8}{5-c}[/tex]

The time while going down=[tex]\frac{8}{5+c}[/tex].

So the difference is:

[tex]\frac{8}{5-c}-\frac{8}{5+c}\\=\frac{8(5+c)}{(5-c)(5+c)}- \frac{8(5-c)}{(5-c)(5+c)}\\=\frac{8(5+c)-8(5-c)}{(5-c)(5+c)}\\=\frac{40+8c-40+8c}{(5-c)(5+c)}\\=\frac{16c}{(5-c)(5+c)}\\=\frac{16c}{25-c^2}[/tex]

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Related Questions

There are 7 socks in a bag. 2 of those socks are blue.
What is the probability of picking a blue sock randomly from the bag

Answers

Answer:

2/7 or about 28% depending on what type of answer your teacher is looking for

Conic section

For questions 10 - 11, solve each system. In your work, identify the shape of the graph of each
equation. (5 points each)
(7y2 + x2 = 64
10.
x+y = 4

Answers

Answer:

Step-by-step explanation:

7[tex]y^{2}[/tex]+[tex]x^{2}[/tex]=64x+y=4

First, we isolate the variable on the second equation so that we can have an x solution to plug in:

x=-y+4

Now, we plug this in to the first equation:

[tex]7(-y+4)^{2} +(-y+4)^{2} =64[/tex]

We can now put the 7 into the parentheses and then square root the equation:

[tex]\sqrt{(-7y+28)^{2}} +\sqrt{(-y+4)^{2}} =\sqrt{64}\\-7y+28-y+4=8\\-8y=40\\y=-40[/tex]

We then plug this in to the original equation to find x

[tex]x+-40=4\\x=-36[/tex]

This means y=-40 and x=-36. I believe that's what you were asking. Let me know if it is something else

Jana ran the first 312 miles of a 5-mile race in 13 hours. What was her average rate, in miles per hour, for this first part of the race? Explain how you solved the problem.

Answers

Answer:

speed = distance / time

Jana's speed is

  speed = (3.5 mi)/(1/3 h) = 3*3.5 mi/h = 10.5 mi/h

WILL MARK BRAINLIEST!!

Answers

Answer:

only p(x)

Step-by-step explanation:

The others have a restricter domain

Pleas help me fast!

Answers

Answer:

35

Step-by-step explanation:

17-7+5^2  Divide 28 by 4

17-7+25  5 to the power 2 is 25

10+25     add 25 and 10 and you get 35.

35

Answer:

35

Step-by-step explanation:

1/2^-2 2^-3 -4^5
What is the value of
for x = 2 and y=-4?

Answers

value of x=2 is-8 and y=-4 is -1024

what is the partial product for 1,600 and 280

Answers

Answer:

Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Jace and his children went into a bakery and he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. He bought twice as many cookies as brownies. Graphically solve a system of equations in order to determine the number of cookies, x,x, and the number of brownies, y,y, that Jace bought.

Answers

Answer:

(9, 18) (3, 6) Plz correct me if wrong

Step-by-step explanation:

Jace bought 4 cookies and 2 brownies from the bakery.

Let x represent the number of cookies and y represent the number of brownies.

Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:

0.75x + 3y = 9      (1)

Also, he bought twice as many cookies as brownies, hence:

x = 2y

x - 2y = 0     (2)

Solving equation 1 and 2 simultaneously gives x = 4, y = 2

Hence Jace bought 4 cookies and 2 brownies from the bakery.

Find out more at: https://brainly.com/question/16763389

Which of the following correctly describes the end behavior of the polynomial
function, f(x) = 2x4 - 3x2 + 2x?
A. The left end goes up and the right end goes down.
B. Both ends go down.
C. Both ends go up.
D. The left end goes down and the right end goes up.

Answers

Answer:

both ends go up

Step-by-step explanation:

a) Find the critical numbers of

f

f
(if any).

b) Find the open interval(s) on which the function is increasing/decreasing

c) Apply the First Derivative Test to identify all relative extrema

Answers

Pls help me. Show proof on why it’s that answer. Pls help me. Show proof on why it’s that answer. Pls help me. Show proof on why it’s that answer. Pls help me. Show proof on why it’s that answer.

Please explain the relationship between a hypothesis and an experiment.

Answers

Answer:

A hypothesis is "is a suggested solution for an unexplained occurrence that does not fit into current accepted scientific theory. The basic idea of a hypothesis is that there is no pre-determined outcome.". And an experiment is "is defined as to try out something new or to test a theory. An example of experiment is when you try out a new hair style. An example of experiment is when you use test tubes and chemicals in a lab to complete a project and to try to better understand chemical reactions.".

Please answer ASAP I have 15 min help

Answers

she did not follow PUMAS...

this means she added before multiplying or dividing

Answer:

32

Step-by-step explanation:

she was supposed to divide and multiply first and then add those answers

6+6+20=32

Diana completes 205 jumping jacks in 5 minutes at a constant rate. How many jumping jacks did she accomplish in 2 minutes?

Answers

Answer:

82

Step-by-step explanation:

205/5=41 jumps per minute

41*2= 82 jumping jacks

hope this helps :))

PLZ HELP ASAP!!!!!


Which statement is true regarding the graphed function

A. f(0)=g(0)
B. f(-2)=g(-2)
C. f(0)=g(-2)
D. f(-2)=g(0)

Answers

I think it’s B but I’m prolly wrong

given the function f(x)= 3^ - 2 what is the value of f (3)

Answers

I am assuming you meant to write f(x) = 3^x -2

f(3) = 3^3 - 2 <=>

f(3) = 27 - 2 <=>

f(3) = 25

Plz i NEED HELP ABOUT TO FINISH THIS CLASS! PLZ
17. Does the following system have a unique solution? Why?

Answers

The last one quick quick

Answer:

last one

Step-by-step explanation:

Which one should I choose

Answers

Answer:

100% B

Step-by-step explanation:

Answer:

The first choice: x^6y^5

Step-by-step explanation:

When you multiply exponential you add the exponents.

List the sides in order from shortest to longest. The diagram is not to scale.
66
50
64

Answers

The sides are in the order of 50, 64, 66

How would you do this as a decimal number ?

Answers

Answer:

-5.875

Step-by-step explanation:

If you have 2 pieces of spaghetti that have lengths 4 cm and 10 cm, what could be the possible length of a third piece of spaghetti to complete the triangle? cm < x < cm

Answers

Answer:

  6  <   third side    <   14

Third side must be greater than 6 and less than 14

Step-by-step explanation:

A triangle can be formed from 2 sides of any length.

The third side must be longer than the difference of the other 2 sides and

the third side must be less than the sum of the other 2 sides.

(if this question is from k12 lesson check)

Convert days to weeks by completing the number sentence. 35 days=

Answers

Answer:

5 weeks

Step-by-step explanation:

35 divided by 7 is 5

7 days: week
35 days: x weeks

7/1=35/x
1*35=35
35/7=5
x=5

5 weeks is your answer

8w < 32 can u guys please help me

Answers

Answer:

w<4

Step-by-step explanation:

divide both sides by 8. no need to flip the sign because 8 is positive

8/8w<32/8

w<4

Answer:

w>4

Step-by-step explanation:

8w<32

8w/8=w

What you do to one side, do to the other.

32/8=4

w<4

Flip the sign because we divided.

w>4 is your answer

True or False: The Commutative Property of Addition states that for all expressions a and b , ab = ba.

Answers

According to the Commutative Property of Addition, ab = ba for all expressions a and b: FALSE

What is the Commutative Property of Addition?According to the commutative property of addition, altering the order of addends has no impact on the sum. Here's an illustration: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4. The addition and multiplication arithmetic operations are covered by the commutative property. This implies that the outcome of adding or multiplying two numbers remains unchanged if the order or position of the numbers is changed. For instance, 4 + 5 equals 9, and 5 + 4 equals 9.

According to the Commutative Property of Addition, rearranging the addends has no impact on the sum.

a+b=b+a

Therefore, the statement "according to the Commutative Property of Addition, ab = ba for all expressions a and b" is FALSE

Know more about Commutative Property of Addition here:

https://brainly.com/question/778086

#SPJ1

Which one should I choose

Answers

Answer:

try x^2   X   6

Step-by-step explanation:

George went to visit his family in California. While there, he bought a book for $24.00. The city where he bought the book had an 8% sales tax. Find the amount he paid in sales tax on the book.

Answers

net amount $24.00 tax at 8% 1.92 gross amount including tax $25.92

2 balloons and 3 cakes cost $26.
4 balloons and 4 cakes cost $40.
What's the cost of 1 balloon?
What's the cost of 1 cake?

Answers

Answer:

The cost of one balloon is 4 dollars

the cost of one cake is 6 dollars

Step-by-step explanation:

The way I did it was by substituting different numbers and seeing if they equaled forty or 26.

my thought process:

1 balloon= 5

1 cake= 10

that doesnt work for 2 balloons and 3 cakes

1 balloon=5

1 cake=5

that works for 4 balloons and 4 cakes but not 2 balloons and 3 cakes

1 balloon=4

1 cake=7

I'm sorry I'm way too tired to finish this 0-0 anyways yeah that's the correct answer :)

YO NEED SOME HELP ON THIS END OF GRADE SOON!!

Answers

Answer: b

Step-by-step explanation:

Cuz is a negative get in absolute value it always comes out positive

And it says below 0-9=-9

Answer:

B

Step-by-step explanation:

__________________________________________________________

B is the answer because,

if the negative sign is not inside the "brackets," then the number will still be negative.

__________________________________________________________

But, if the negative sign is connected to the number, or inside the "brackets," then it will always be positive.

__________________________________________________________

Here are the reasons why the rest are wrong.

__________________________________________________________

A is not correct because the outcome isn't negative, even though it's correct in mathematical instances.

__________________________________________________________

C is not correct because it is plainly not correct in itself.

__________________________________________________________

D is also not correct because it is not correct in the mathematical equations, even though it has a -9 as the equal, it's still wrong.

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Marion and Stefan played a game called "Go." Marion won five times the difference between the number of games Stefan won and the number four. If Marion won fifteen games, then how many games did Stefan win?

Answers

Answer:

1 game

15/5=3

4-3=1

Hope it helps

please follow me

Using a system of equations, it is found that Stefan won 7 games.

In our system, we have that:

x is the number of games Marion won.y is the number of games Stefan won.

Marion won five times the difference between the number of games Stefan won and the number four, hence:

[tex]x = 5(y - 4)[/tex]

Marion won 15 games, hence [tex]x = 15[/tex], and:

[tex]15 = 5(y - 4)[/tex]

[tex]y - 4 = 3[/tex]

[tex]y = 7[/tex]

Stefan won 7 games.

A similar problem is given at https://brainly.com/question/19314231

what is the percent increase from 2,000 to 3,000

Answers

50% should be the present increase :)

PLEASE HELP IM GOING TO FAIL!!!

Answers

Answer:

D.

Step-by-step explanation:

the slope is going up 1 over 2 and the 1 is the y....hope this helps.

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