Aro diagrams his river rafting trip, estimating the time it will take him to paddle upstream against the current, and then back downstream with the current. His campsite destination is 5.2 miles upstream. Determine how fast Aro can paddle and how fast the river water is moving. Round to the nearest hundredth as needed.
Upstream:
Downstream:
Let x be the speed of Aro’s paddling and let y be the speed of the river.
Upstream: 1.04 = x – y
Downstream: 2.08 = x + y
Aro can paddle at a speed of
miles per hour.
The river’s speed is
miles per hour.

Answers

Answer 1

Answer:1.) 1.56

             2.)0.52

Step-by-step explanation:

Answer 2

Answer:

That person's answer is right. 1.56      0.52

Step-by-step explanation:


Related Questions

Given that for all values of x,
f(x) = 3x + p
g(x) = px + 4
and fg(x) = 6x + 9
where p and q are constants.
Work out the values of p and q.

Answers

Question, where is q in the equations? Do you mean x?

The value of p is 2.

The value of q is 14

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Two functions:

f(x) = 3x + p

g(x) = px + 4

Now,

f(g(x)) = 6x + 9

This means,

3(g(x)) + p = 6x + q

Substituting g(x) = px + 4.

3(px + 4) + p = 6x + q

3px + 12 + p = 6x + q

3px + (p - q) = 6x - 12

This means,

3p = 6

p = 2

p - q = -12

2 - q = -12

q = 2 + 12

q = 14

Thus,

p is 2 and q is 14.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

Simplify the ratio. 13−42−(−1) =

Answers

Answer:

-28

Step-by-step explanation:

3g = 15
Help with this one

Answers

Step-by-step explanation:

g=15

3

g=5

hope U mean this.

Answer:

g = 5

Step-by-step explanation:

First, find a number in common between 15 and 3, which is 5. If you divide 15 by 3 you'd know that g is 5.

A swim team has 31 swimmers. The total practice time for the team is 22,320 hours each season How many hours per season does each swimmer practice?​

Answers

Answer:

720

Step-by-step explanation:

22,320 divided by 31 is 720

Answer:

3 hours a day

Step-by-step explanation:

22,320-31-31-31-31-31-31-31-31-31-31-31 and way more

Which is one characteristic of hurricanes?

occur mostly inland
create widespread damage
last for a short amount of time
gain strength after passing over land

Answers

Answer:

b

Step-by-step explanation:

Answer: B. Create widespread damage.

Step-by-step explanation: On Edge!!!!!!!!!!!

PLS IF YOU KNOW THE ANSWER HELP ME OUT TY

Answers

And answer could be (0,-1)

Answer:

(6,0)

Step-by-step explanation:

When y=0

and x=6

6-6(0)=6

6-0=6

Eqn is true

Simplify:
a) 3y - y
b) 69 + 4 - 9 +5

Answers

Answer:

a) 2y

b) 69

Step-by-step explanation:

Select the correct answer.
What is the sum of -6 4/5 and 6 4/5
A 12 4/5
B 29/5
C 0
D -12 4/5

Answers

C I hope this is right

video game
The price of
was reduced
from $50 to $40. By what percentage was
the
Оо game
reduced?
CS Scanned with CamScanner

Answers

Answer:

Step-by-step explanation:

50-40= 20%

50*20%= 10

50-10=40

can you put the negitive first then the positive please this is 22 points

Answers

B.c f.j e.h d.a i.g

Answer:

The answer should be ( D, J)

Step-by-step explanation:

I think this is right. this is from my understanding of the problem

What is an equation of the line that passes through the point (-5,2) and is parallel
to the line 4x - 5y = 5?

Answers

Answer:

Step-by-step explanation:

first change the equation so it just equals y

-5y = 5 -4x

y = 4/5x -1

since this new equation has to be parallel to the previous line, the slopes are the same

y = 4/5x + b

now we have to make sure the new equation passes through (-5,2) so we plug in -5 for x and 2 for y

2 = 4/5(-5) + b

2 = -4 + b

b = 6

so the final equation is

y = 4/5x +6

The equation of the line that passes through the point (-5,2) and is parallel  to the line 4x - 5y = 5 is 5y - 4x = 30

The equation of a line in point-slope form is expressed as:

[tex]y-y_0=m(x-x_0)[/tex]

m is the slope of the line

(x0, y0) is any point on the line

Given the equation 4x - 5y = 5.

Rewrite in standard form:

-5y = -4x + 5

y = 4/5 x - 1

The slope of the line passing through the given equation is 4/5

Substitute the slope and the point into the equation:

[tex]y-2=4/5(x+5)\\5(y-2)=4(x+5)\\5y-10=4x+20\\5y-4x=20+10\\5y-4x=30[/tex]

Hence the equation of the line that passes through the point (-5,2) and is parallel  to the line 4x - 5y = 5 is 5y - 4x = 30

Learn more here: https://brainly.com/question/17684243

Please help. The picture below explains the problem.

Answers

Answer:

If the line is gonna be perpendicular then the slope going to be the inverse opposite. therefore the slope of our new line will be 1/4

Now to find the y intercept follow these steps:

y=mx+b

y=1/4x+b

3=1/4(4)+b

3=1+b

b=2

Now that we have the y intercept (b) and the slope (m) we can make our equation.

y=1/4x+2

Step-by-step explanation:

A sprinkler system uses 800 gallons of water in 5 days. How many gallons will the system use in a week?

Answers

Yes 1,120 gallons per week (7 days)
Just divide 800 by 5 and see that the sprinkler system uses 160 gallons a day. Multiply 160 by 7 for the amount used a week and you will find that the answer is 1,120 gallons of water.

What is the slope of the line that passes through the points (4,-9) and (8, -3)?

Answers

Answer:

3/2

Step-by-step explanation:

To find the slope of a line you can use the equation y2-y1/x2-x1

So, -3+9/8-4

6/4=3/2

Step-by-step explanation:

m= y²-y¹/x²-x¹

=(-3)-(-9)/8-4

=6/4

=3/2 or1.5

solve for y:
6=2(y+2)

Answers

Use distributive property
6 = 2y + 4
2y = 2
Y = 1
6= 2(y+2)
6= 2y+4
-4 -4
——————
2 = 2y
—- ——
2. 2
Y = 1

Determine the input UNITS of ITEM and the output UNITS of ITEM for the statement

below:

It is a lovely time of year on the Serengeti Desert. Every time Simba washes his clothes,

he has to use 1 capful of detergent for each load of wash.

Answers

Answer:

For statement 1 :

INPUT UNIT OF ITEM : Time of the year on Serengeti Desert

OUTPUT UNIT OF ITEM : Simba washes his clothes

For statement 2

INPUT UNIT OF ITEM : 1 capful of detergent

OUTPUT UNIT OF ITEM : each load of wash

Step-by-step explanation:

For statement 1 :

INPUT UNIT OF ITEM : Time of the year on Serengeti Desert

OUTPUT UNIT OF ITEM : Simba washes his clothes

For statement 2

INPUT UNIT OF ITEM : 1 capful of detergent

OUTPUT UNIT OF ITEM : each load of wash

From answers provided above the basis for the answers is that an input unit of item will have to result to a reaction which is an output unit of item hence the answers above

4/10 times (7/8+9/4) 5/7​

Answers

Answer: simplified down to 25/28 or 0.89 / / 0.9 rounded up

Name the property of equality that the statement illustrates.


If AB = CD and CD = 5, then AB = 5.

i need help asap thank you !

Answers

Answer:

I think it's symmetric. I could be wrong, but its been 2 weeks since you posted this so if you have the correct answer can you tell me it please! :)

Step-by-step explanation:

PLS HELP ME! I GOT THE ANSWER I JUST NEED TO SHOW THE WORK.

Solve for X.

Answer: 6

Answers

Answer:  x = 6

=================================================

Work Shown:

According to the remote interior angle theorem, we can add the interior angles to get the exterior angle that is not adjacent to the interior angles.

So we'll add interior angles D = 6x+8 and E = 5x+8, and that sum leads to 82.

Let's solve for x

(6x+8)+(5x+8) = 82

11x+16 = 82

11x = 82-16 ....... subtracting 16 from both sides

11x = 66

x = 66/11 ...... dividing both sides by 11

x = 6

-----------------

A slightly longer method involves letting y be the missing interior angle of triangle DEC.

Then we can say D+E+C = (6x+8)+(5x+8)+y = 180. This is because the interior angles of any triangle always add to 180.

Furthermore, we also know y+82 = 180, since the angles y and 82 are a linear pair. Solving for y leads to y = 180-82 = 98

Plug this back into the first equation and solve for x

(6x+8)+(5x+8)+y = 180

(6x+8)+(5x+8)+98 = 180

(6x+8)+(5x+8)= 180-98

(6x+8)+(5x+8) = 82 .... note how this equation shows up again

The steps to solving are shown in the previous section.

The sum of three consecutive numbers is 99. What is the smallest of the three?

Answers

Answer:

The smallest of the three is 32

Step-by-step explanation:

you can divide 99 by three and get the middle number of the three numbers

Answer:

32

Step-by-step explanation:

32+33+34=99

5x + y = – 3.
What is the slope

Answers

Answer:

The slope here is - 5

Step-by-step explanation:

If you write the equation in this way

y= -5x -3 you can see the angular coefficient (Wich determinate the slope) -5

Answer:

the slope is -5

Step-by-step explanation:

I really hope this helped you and that you have an amazing productive day. Have a good Sunday!!!!

Please answer with two answers!

Answers

Answer:

C. Roanoke, Alexandria, Norfolk

Step-by-step explanation:

Lets expand all of the numbers

Alexandria 136,000

Norfolk 229,000

Roanoke 91,500

Using these number we can easily see that the order is "Roanoke, Alexandria, Norfolk"

I don't understand when you say "Please answer with two answers!" because only one answer is correct

The answer is C. And there’s only 1 answer that’s correct

Which set of measurements could possibly fit the given cone diagram?

Answers

The third option would be the answer since you would substitute each for Pythagorean theorem then solve. So it’s the third option! Good Luck!

The first angle in a triangle is three times at the seconed angle.The seconed angle is two times that of the third angle. Finde the ratio of the angils


pleases help im soo stuck its middle school

Answers

6x:2x:x
Is your ratio.

Checking math:
6(2):2(2):2=
12:4:2

:)

simplify the expression using properties of operation -8(1 +x) + 7x

Answers

Answer:

- x - 8

Step-by-step explanation:

Step 1:

- 8 ( 1 + x ) + 7x        Equation

Step 2:

- 8 - 8x + 7x        Multiply

Step 3:

- 8 - x        Combine Like Terms

Answer:

- x - 8

Hope This Helps :)

if you have 30 N force going left and a 10 N force going right, what is the force

Answers

Answer:

20 N

Step-by-step explanation:

Since, both the forces are acting in opposite directions.

Therefore,

[tex]Net \: Force = 30 \: N - 10 \: N \\ \\ = 20 \: N [/tex]

Answer:

20N

Step-by-step explanation:If you take the direction that the 30N force is acting in as positive, then since the 10N force acts in the opposite direction, the Net (resultant) force on the object is 20N. If the numbers were flipped, it would be -20N.

At the kennel, the ratio of cats to dogs is 4:5. There are 27 animals in all.
1. What is the value of each small rectangle?
2. How many dogs are at the kennel?
3. How many cats are at the kennel?

Please answer this ASAP!!! I will make you Brainliest!

Answers

Answer:

I don't know how to answer the first question

There are 15 dogs in the kennel

There are 12 cats in the kennel

Explanation:

If there is a 4 to 5 ratio then

12 cats to 15 dogs is linear

Find the quotient.
2x-3/x / 7/x^2

Answers

Answer:

x^3/7

Step-by-step explanation:

A package of 3 pairs of insulated gloves costs ​$25.77. What is the unit price of the pairs of gloves​? The unit prices is $ per pair of gloves

Answers

The unit price is $8.59 per pair of gloves because 25.77/3 = 8.59

The lengths of the sides of a triangle are 3, 3, . Can the triangle be a right triangle?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

i just made a 100 on odw

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