The Lazy River has a current of 5 miles per hour. A motorboat can travel 20 miles
down the river in and back in 3 hours. What is the speed of the boat in still water?
Please show your work and use table to relate time, speed, distance.

Answers

Answer 1

Answer:

5 mph

Step-by-step explanation:

Answer 2

Answer:

15 mph = rate of boat in still water

Step-by-step explanation:

D = RT

Let R = rate of boat in still water

Rate down stream = R + 5

Time down stream = 20/(R + 5)

Rate upstream = R - 5

Time upstream = 20/(R - 5)

Total time = 20/(R + 5) + 20/(R - 5) = 3

                    20(R - 5) + 20(R + 5) = 3(R + 5)(R - 5)

                     20R - 100 + 20R + 100 = 3R^2 - 75

                                  3R^2 + 40R - 75 = 0

                                  (3R + 5)(R - 15) = 0

                                      R = -5/3  or  15

Rate cannot be negative, so R = 15 mph = rate of boat in still water  

           


Related Questions

Geomtry question pls help !!!

If the length of segment RQ is 8,what is the length of segment PQ?

A-5
B-2
C-4
D-3​

Answers

Answer:

C, 4.

Step-by-step explanation:

Im not sure how to explain it, i just know that it's C! :))

Help pls! I don't really know if there should be a < or no!

Answers

Answer:

yes

Step-by-step explanation:

Use △GHJ, where A, B, and C are midpoints of the sides.



When AB = 3x+8 and GJ = 2x+24, what is AB?

Answers

The answer for the question is

The bakery shop purchased 7 2/10 pounds of sugar and 7 5/10 pounds of flour. How much sugar and flour did they purchase in all?​

Answers

Answer:

Sugar = 1-2/5 pounds, Flour = 3-1/2 pounds

Together = 5-9/10 pounds

Step-by-step explanation:

sugar = 7(2/10)

flour = 7(5/10)

sugar + flour = 7(2/10) + 7(5/10)

sugar = 14/10 or 1-2/5 pounds

flour = 35/10 or 3-1/2 pounds

The Miller family likes to petal along the north River. 1. They paddled the same distance each day throughout the course of three days, traveling a total of 14 miles. How many miles do they travel each day?

Two. If the millers went half their daily distance each day, but extend their trip to twice as many days, how far would they travel?

Answers

Answer:

The Millers paddled 4,666 miles each day.  If they reduced their daily distance by half, extending their trip to twice as many days, the distance traveled by the Millers would have been the same.

Step-by-step explanation:

Given that the Miller family likes to paddle along the river, and they paddled the same distance each day throughout the course of three days, traveling a total of 14 miles, to determine how many miles did they travel each day the following calculation must be performed :

14/3 = X

4.666 = X

Thus, the Millers paddled 4,666 miles each day.

In turn, if the Millers went half their daily distance each day, but extend their trip to twice as many days, to determine how far would they travel, the following calculation must be performed:

4.666 / 2 x 6 = X

2.333 x 6 = 13.9999

Thus, the distance traveled by the Millers would have been the same.

helppp with my geometry PLSS HELP

Answers

Answer:

15) 30°

16) 49.46°

Step-by-step explanation:

15) sin ? = 12/24

sin ? = 0.5

? = 30°

16) cos ? = 13/20

cos ? = 0.65

? = 49.46°

solve the system algebraically (using elimation or substitution method)
4x + 5y = 2
x + 2y = -1

Answers

Answer:

Equation form: x=3, y=-2

Point Form: (3,-2)

Step-by-step explanation:

plot-6 what is the sum of-6 and 9​

Answers

Answer:

3

Step-by-step explanation:

I believe the answer is 3 because:

- 6 + 9 = 3

minus and plus are equal to minus therefore we minused it and there is no minus sign with 3 because we always use the sign which is with the greater number.

— hope this helped :)!

Help please and explain

Answers

Answer:

Volume of a cone = 50 in³

Step-by-step explanation:

diameter = 5 in

radius = 2.5 in

height = 8 in

Volume of cone = [tex]\frac{\pi r^2h}{3}[/tex]

V = (3 × 2.5 × 2.5 × 8)/3

V = 150/3

V = 50 in³

Dayshawn started a new job and is being paid $15.25 for every hour he works. Which table represents a schedule for his pay?

Answers

The answer is 3 schedule

Please HELP !!
FIND X

Answers

1) x = 15

2) x = 34.1760149812

3) x = 2.25

4) x = 1.6666666

Find the volume of the tank with a radius of 2 m and height of 5 m​

Answers

Answer:

20.943951023932 m^3

Step-by-step explanation:

v=1/3pi(r)^2h

v=1/3pi(2)^2(5)

v=20.943951023932 m^3

Answer:

62.8

Step-by-step explanation:

2 × 2 × 3.14 × 5 = 62.8

Area = ???????????????

Answers

Answer:

x^2+10x+21

Step-by-step explanation:

Blue box: x*x=x^2

Green box: x*3=3x

Purple box: 7*x=7x

Orange box: 7*3=21

x^2+(3x+7x)+21

Combine like term

A: x^2+10x+21

6 months ago, Juan used his credit card for a transaction of 128 dollars. The bank charges a rate of interest
of 50% per month compounded monthly
How much does Juan owe to the bank today?

Answers

The compound interest implies that Juan owes $163.52 today

How to determine the amount Juan owes?

The given variables can be represented as:

Loan amount P = $128Rate of interest, R = 50%Time to pay back the loan, t = 6 months i.e. 0.5 year

The amount from a compound interest can be calculated using:

A = P(1 + r/n)^nt

Also from the question, we have

n = 12

This is so because the loan is compounded 12 times in a year as a result of being compounded monthly

So, we have

A = P(1 + r/n)^nt

A = 128 * (1 + (50%/12))^(0.5*12)

Evaluate

A = 163.52

Hence, the amount owed is $163.52

Read more about compound interest at:

brainly.com/question/2455673

#SPJ1

Help me but i am gonna know the answer cause i know it

Answers

Answer:

D. 12

Step-by-step explanation:

93/3 = 31

155/5 = 31

248/8 = 31

In every case, you see that the number of pages is 31 times the number of hours.

For 372 pages, the number of hours is 372/31 = 12

Check: 372/12 = 31

Answer: D. 12

Use this list to find the range: 53, 66, 68, 68, 75, 75, 75, 79, 82

(This is from Edginuity btw)

Answers

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Range =Largest - smallest

82 - 53=

29

ASAP I need help 10 points

Answers

Answer:

$80.66 and $48

Step-by-step explanation:

1.

Find the total cost of your outfit. 49+25=$74

Find 9% of 74 by doing 0.09x74, which is 6.66. This means that the sales tax is $6.66. 74+6.66=$80.66.

2.

Find 25% of 64 by doing 0.25x64=16. 64-16=$48.

Find the missing angle measure in each triangle 29, 88, x || Hurry :)

Answers

Answer:

63

Step-by-step explanation

180-29-88=63

P(A)=0.45, P(A∩B)=0.15 and P(B\A)=0.25 what is the value of P(A\B)

0.45
0.25
0.35
None of the above

Answers

Answer:

0.35? That is correct?

factor a number,variable, or expression out of the trinomial shown below 6x2-12x+9

Answers

Answer:

3(2x2-4x+3)

Step-by-step explanation:

factor out 3

find the volume of a cone with a height of 6 m and a base radius of 4 m.

Answers

V = 74.8933701m3 Hope this helps

Anna, Debbie, Kim and Nadia want to share 5 brownies, so they each get the same amount. How much will each get?

Answers

Answer:

1.25

Step-by-step explanation:

5/4=1.25

It would come out to be 1.25

0 3. The pentagon ABCDE is graphed on a coordinate plane with vertices A(0, 0), B(3,5),
pentagon's area?
25 sq. units
15 sq. units
40 sq. units

Answers

Answer:

Option A

Step-by-step explanation:

The complete question is

The pentagon ABCDE is graphed on a coordinate plane with vertices A(0, 0), B(3, 5), C(3, 8), D(8, 5), and E(8, 0). What is the pentagon's perimeter?

Solution -

We will find the length of all the sides of pentagon and then add them  

Length of AB = Sqrt ((3-0)^2+(5-0)^2) = Square root of 9+25 = 5.83

Length of BC = Sqrt ((3-3)^2+(8-5)^2) = Square root of 9 = 3

Length of CD = Sqrt ((8-3)^2+(5-8)^2) = Square root of 5^2+-3^2

= 5.83

Length of DE = Sqrt ((8-8)^2+(0-5)^2) = Square root of 25 = 5

Length of EA = Sqrt ((8-0)^2+(0-0)^2) = Square root of 64= 8

Perimeter=8+5+5.83+5.83+3= 27.66 units  =27.66 units

Option A

Answer:

40 sq. units

Step-by-step explanation:

Jeremy spent $33 on 3 CDs. At This rate. how much would 6 CDs cost ?​

Answers

It would cost $66.

33/3=11.
It costs $11 per CD.
6*11=66.
It would be $66 for 6 CDs.

Answer:

It would cost Jeremy $66 for 6 CDs

Step-by-step explanation:

3 CDs for $33

3(2)=6

$33(2)=$66

find the perimeter of the figure below.

PLEASE GIVE A EXPLANATION

Answers

Answer:

Perimeter of the figure = 198.54 feet

Step-by-step explanation:

Given figure comprises a rectangle and two semicircles.

Perimeters of two semicircle = 2πr

Here 'r' = Radius of the circle

Perimeter of two semicircles at the sides of the rectangle = [tex]2\pi (\frac{25}{2})[/tex]

= 25π feet

= 78.54 feet

Length of side AB = Length of side CD = 60 feet

Perimeter of the given figure = 2(60) + 78.54

                                                = 198.54 feet

Which of the following situation illustrates combination​

Answers

There’s nothing there but can I get brainliest please I need it to get to virtuso

Hi if you can help, it would be great! Just tell me the answer choice (a,b,c,d) and your reasoning!

Answers

Answer:

the answer is C

Step-by-step explanation:

∠2=∠4 corresponding

∠7=∠4 vertically opposite

Answer:

C. ∠2 and ∠7

Explanation:

∠2 = ∠4 through corresponding angles theorem

∠7 = ∠4 through the vertical angles theorem

reduce 105 in the ratio 3:5​

Answers

9514 1404 393

Answer:

  39.375 : 65.625

Step-by-step explanation:

The meaning of "reduce" in this context is unclear. We assume you want to divide the quantity 105 into parts that have a ratio of 3 : 5. Then the smaller part will be 3/(3+5) = 3/8 of the total; the larger part will be 5/8 of the total.

  3/8 × 105 = 39 3/8

  5/8 × 105 = 65 5/8

The divided quantities are ...

  39.375 : 65.625

Linear function last one

Answers

Answer:

y=1/2x

Step-by-step explanation:

y=-x would go the other way so cross that one

y=2x would go up really quickly so cross that one

y=0.001x would be more like a horizontal line so cross that one

y = 1/2 is correct  

PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ? 100 POINTS !! EXPLAIN.

Answers

Answer:

the correct answer would be B

Answer:

B

Step-by-step explanation:

I just did this problem

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