Two people paddle a canoe in a river flowing at a rate of 3 miles per hour, then they returned traveling upstream. The entire trip was 96 miles and the trip upstream took twice as long as the trip downstream. How fast did they row in still water? How many hours was the complete trip?

Answers

Answer 1

Answer:

72

Step-by-step explanation:

Answer 2

Answer:

speed in still water = 9 mph

total time = 12 hours

Step-by-step explanation:

speed = distance/time

distance = speed * time

Traveling downstream:

speed of river = 3 mph

speed of canoe in still water = v

speed of canoe going downstream = v + 3

distance = 96/2 = 48

time = t

distance = speed * time

48 = (v + 3)(t)

Traveling upstream:

speed of river = 3 mph

speed of canoe in still water = v

speed of canoe going downstream = v - 3

distance = 96/2 = 48

time = 2t

distance = speed * time

48 - d = (v - 3)(2t)

48 = (v + 3)(t)

48 = (v - 3)(2t)

vt + 3t = 48

2vt - 6t = 48

     -2vt - 6t = -96

(+)   2vt - 6t = 48

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

           -12t = -48

t = 4

vt + 3t = 48

4v + 3(4) = 48

4v + 12 = 48

4v = 36

v = 9

speed in still water = v = 9 mph

total time = t + 2t = 3t = 3(4) = 12 hours


Related Questions

HELP MATCHING EACH PROPORTION WITH ITS SOLUTION

Answers

no puedo ver el problema

ABC is a triangle.
A
B.
Diagram NOT
accurately drawn
6 cm
7 cm
60°
C С
Work out the length of the side AB.
Give your answer correct to 3 significant figures.
(3 marks)
O AB=
cm
i okk

Answers

Answer:

A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium. Please select the best answer from the choices provided A B C D

Answer the question to get marked as brainliest!!!

Answers

Answer:

53 degrees

Step-by-step explanation:

If r is 25 and s is 102, and if there are 180 degrees in a triangle, then you can just add to get 53.

Answer:

53

Step-by-step explanation:

Hello There!

So in this problem they give us two angles of a triangle and want us to find the missing angle

Remember the sum of all of the angles in a triangle is 180

So to find the missing angle we subtract the given angles from 180

180-25-102=53

so we can conclude that the answer is 53

HELP!!!!!!At approximately what value of x do the two lines meet? (Round your answer to the nearest whole number)

Answers

Answer:

x ≈ 3

Step-by-step explanation:

The 2 lines appear to intersect at (2.5, 2 ) with x = 2.5 , that is

x ≈ 3 ( rounded to the nearest whole number )

A'B'C is a translation of ABC. what is the length?​

Answers

Answer:

6 units

Step-by-step explanation:

A translation is a rigid body motion, meaning that it is a type of transformation that doesn't change the length of any sides, or it is the same as the original image. Since A'C' corresponds to AC, it must be 6 units as AC is 6 units.

Answer: 6 units

Step-by-step explanation:

During a sale a shop allows 20% discount off the marked price of clothing. What will a costomer pay for a dress with marked price of $30?

Answers

Answer:

Customer will pay $24 for a dress.

Step-by-step explanation:

Marked price of clothing in a shop = $30

Discount on the clothing = 20% off the marked price

Selling price of the clothing = Original price - discount

                                              = $30 - (20% of $30)

                                              = $30 - [tex](\frac{20}{100}\times 30)[/tex]

                                              = $30 - $6

                                              = $24

Therefore, customer will pay $24 for a dress.

If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x minus 2, y + 2), what will be the coordinates of A prime?

On a coordinate plane, triangle A B C has points (negative 2, negative 2), (negative 2, negative 4), (2, negative 4).
(–4, 0)
(0, 4)
(0, 0)
(–2, 2)

Answers

Answer:

A i think

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Find the volume of the cylinder

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Surface Areas and Volumes.

We know that , Volume of the cylinder = πr^2h

here, r = 5 units and h = 6 units,

hence we substitute it,

==> Volume = 3.14*(5)^2*(6)

==> Volume = 3.14*25*6

==> Volume = 471 units^3

Hence the volume of cylinder is 471 cubic units.

2/7 into percents ??

Answers

Answer:

28.57142857 %

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by  100 .

28.57142857 %

Answer:

[tex]28.571429\%[/tex]

Step-by-step explanation:

1) To convert the fraction to a decimal, divide the numerator by the denominator.

[tex]2 \div 7[/tex]

2) Use long division.

[tex]0.285714[/tex]

3) To convert to a percent, multiply the decimal by 100.

[tex]0.285714 \times 100 = 28 .571429[/tex]

4) Add the percent sing.

[tex]28.571429\%[/tex]

Therefor, the answer is 28.571429%.

y= 5x-9

domain = {1, 3, 7}

whats the range?

Answers

Answer:

Y= 5 - 9

Domain: {1,3,7}

Range: 6

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range, In this case the data range is 7- 1 = 6. So the range is 6.

I have answered have a good day.

find the HCF and LCM of 150 and 225

Answers

Answer:

The LCM of 150 and 225 is 450.

Steps to find LCM

Find the prime factorization of 150

150 = 2 × 3 × 5 × 5

Find the prime factorization of 225

225 = 3 × 3 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 5 × 5

LCM = 450

Look at the methods to find the HCF (150, 225)

HCF of 150 and 225 by Prime Factorization

HCF of 150 and 225 by Listing the Common Factors

Method 1: Find HCF of 150 and 225 by Prime Factorization

Represent 8 and 14 as a product of its prime factors.

Prime factorization of 150 is 2 × 3 × 5 × 5

Prime factorization of 225 is 3 × 3 × 5 × 5

The common factor in the prime factorization of 150 and 225 are 3, 5, and 5.

HCF is the product of the factors that are common to each of the given numbers.

So, HCF of 150 and 225 is 3 × 5 × 5 = 75

Method 2: Find HCF of 150 and 225 by Listing the Common Factors

The factors of 150 and 225 are shown below.

Step-by-step explanation:

Hope it is helpful.....

Kenny has $500 in a savings account. The interest rate is 4%, compounded annually.
To the nearest cent, how much will he have in 1 year?

Answers

Answer:

After one year Kenny will have $520.

Step-by-step explanation:

Answer:

$520

Step-by-step explanation:

500(0.04) = kenny's annual interest rate return= 20

500+20= total dollars kenny has in a year

As Tish and Tan were traveling to their next cross country meet, they followed their progress along on a map. The map showed a scale of one inch equaling 60 miles. Their route's total length on the map is 2 ½ inches long. How far will they be traveling to the meet? Show all work and justify your answer.

Answers

Answer:

They need to travel 150 miles to meet

Step-by-step explanation:

As per map scale

one unit of map = 1 inch

1 inch of map unit = 60 miles

The total route length is 2.5 inches on map

The actual length of the route [tex]= 2.5 *60 = 150[/tex] miles

They need to travel 150 miles to meet

if u have 6 pack of juice and its is 3.60 what will it be?

Answers

18.30 you multiply it but 6 and 3.60 and you will get that answer as eighteen and thirty cents

Answer:

$21.60 will be the total if each juice is $3.60

$.60 per juice if the whole pack is $3.60

Step-by-step explanation:

Nathan will add -7 to -5 then multiply the sum by -2.

Which product should he find?



4


24


-4


-24

Answers

Answer:

its positive 24

Step-by-step explanation:

-7+(-5)= -12

-12×(-2)= 24

He should get 24

You get -12 when you add -7 and -5
And then you get 24 when you multiply -2 by -12

Hope this helps :)

Write an exponential regression equation for the data, rounding all values to the nearest thousandth.

Please help I will mark brainliest

Answers

f(x)= 39.59(1.09)




Hope this helps!!

Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices Q(-1,3), R(5,2), S(1, - 2), and
T(-5, -1)
Find the coordinates of the intersection.​

Answers

Answer:0,0.5

Step-by-step explanation:

The coordinates of the intersection of the diagonals of the parallelogram will be (0, 0.50).

What is the equation of a line passing through two points?

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The coordinates of the parallelogram are given below.

Q(-1,3), R(5,2), S(1, - 2), and T(-5, -1)

The equation of the QS diagonal line is given as,

(y - 3) = [(3 + 2) / (- 1 - 1)](x + 1)

y - 3 = - 2.5 x  - 2.5

y = - 2.5 x + 0.5       ...1

The equation of the RT diagonal line is given as,

(y - 2) = [(2 + 1) / (5 + 5)](x - 5)

y - 2 = 0.3 x  - 1.5

y = 0.3 x + 0.50       ...2

From equations 1 and 2, then we have

0.3 x + 0.50 = - 2.5 x + 0.50

x = 0

Then the value of y is calculated as,

y = 0.3 (0) + 0.50

y = 0.50

The coordinates of the intersection of the diagonals of the parallelogram will be (0, 0.50).

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

#SPJ2

What is the solution to the equation below?


14x=12

Answers

Answer:

Step-by-step explanation:

hello :

14x=12

x=12/14

x=6/7

Which ones are the answers?

Answers

Answer:

A. 0.92t

F. t-0.08t

Step-by-step explanation:

let t be the original acreage

8% decreased from the original acreage = 0.08t

so new acreage = t- 0.08t = 0.92t

or

New acreage = old acreage (1 - discount)

= t ( 1 - 0.08)

= t - 0.08t

Tell whether the table represents a linear or an exponential function. Then write the function.
х
-3
-2
- 1
0
1
y
64
48
32
16
0
The table represents a(n)
function.
13
y =

Answers

The table represents a linear function. The table is decreasing at a constant rate.

WILL MARK BRAINLIEST!
which quadratic function best fits this data?

x y
1 350
2 539
3 678
4 875
5 690
6 502

A. y=−56.80x2+437.91x−65.5
B. y=−56.80x2+437.91x+65.5
C. y=56.80x2−437.91x+65.5
D. y=−56.80x2−437.91x+65.5

Answers

Answer: A

Step-by-step explanation: Took the test |

                                                                     \/

The quadratic equation that best fits this data would be A.

[tex]y=-56.80x^2+437.91x-65.5[/tex]

What is a solution for a quadratic equation?

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0

This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

The given data is follows as;

x y

1 350

2 539

3 678

4 875

5 690

6 502

The quadratic equation that best fits this data

A. [tex]y=-56.80x^2+437.91x-65.5[/tex]

Learn more about solutions of a quadratic equation here:

https://brainly.com/question/15582302

#SPJ2

A sequence starts 0, 5, . . .

Give a rule the sequence could follow and the next 3 terms for that rule.

Answers

Answer:

The rule is : +5

Step-by-step explanation:

0, 5, 10 ,15 ,20

I need help plis
thanks

Answers

Answer:

y = -3x - 1

Step-by-step explanation:

Let he equation of the line is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Slope 'm' of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the line passing through (-2, 5) and (2, -7) will be,

m = [tex]\frac{-7-5}{2+2}[/tex]

m = -3

Equation of the line will be,

y = -3x + b

Since, this line passes through (-2, 5),

5 = -3(-2) + b

5 = 6 + b

b = 5 - 6

b = -1

Therefore, equation of the line will be,

y = -3x - 1

12. Which trig function has no zeros?
A. sine
B. cosine
C. tangent
D. none

Answers

I think it’s letter D. none
cosecant, secant, and cotangent do not have real zeros. Therefore out of these options none would be the answer

Find the simple interest on Rs. 5000 for three years at the rate of 10% per
annum.

Answers

Watch the picture for an explanation

Answer:

$1,500

Step-by-step explanation:

I= Prt

I = 5000(0.1)(3)

I = 1500

Write an equation in slope-intercept form of the
line with slope -1/3 that contains the point (-3,-5).

Answers

The equation would be y = -1/3x -6

Ashley earns money at a constant rate. Ashley earns $15 in 2.5 hours. We want to know how much money, m, Ashely will earn after t hours. Write the linear equation in two variables that represent the amount of money she earned in any given time interval.

pls don't answer if you don't know so ppl don't spend their answers on that if they don't have plus

Answers

Answer:

Step-by-step explanation:

$15/2.5hr=$6 so if earnings are y and hours worked is x then

y=6x

At the rodeo, the Broncos riding event takes place in a large dirt ring witch has a diameter of 12 meters. What is the ring's area?

Answers

Answer:

approx. 113.1

Step-by-step explanation:

Area formula: A= pi* (r^2)

12/2 = 6, so r=6

A= pi * (6^2)

A= pi * (36)

A = approx. 113.1

PLEASE HELPP! geometric probabilities​

Answers

The answer to this is 5/20

PLEASE HELP BRO ILL MARK BRAINLEST
What operation would you do to balance this equation.
In other words, what would you put in the clouds.
a-4 = 10
a
add 4 to both sides
subtract 4 to both sides
multiply 4 to both sides
divide 4 to both sides

Answers

Answer:

add 4 to both sides

Step-by-step explanation:

a-4+4=10+4

a=14

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