Randall enjoys canoeing. The time it takes for his canoe to go 3 miles upstream and back 3 miles downstream in a lake is 4 hours. The current of the lake is 1 miles per hour. Which equation can Randall use to determine the average speed of the canoe in still water?

Answers

Answer 1

The equation used to find the average speed is (a - 1)t₁ = 3, (a + 1)t₂ = 3 and t₁ + t₂ = 4.

Speed

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let t₁ represent the time upstream and t₂ the time downstream while a represent the average speed of the canoe in still water.

Hence:

t₁ + t₂ = 4   (1)

Also:

(a - 1)t₁ = 3    (2)

(a + 1)t₂ = 3     (3)

The equation used to find the average speed is (a - 1)t₁ = 3, (a + 1)t₂ = 3 and t₁ + t₂ = 4.

Find out more on speed at: https://brainly.com/question/4931057


Related Questions

Factorise the expressions and divide them as directed.​

Answers

Ok. These are the answers. Tell me if you didm't understand my writing.

What is the next number in the sequence -16, -6, 4, 14

Answers

Answer

24

Step-by-step explanation:

you are adding by 10

-16+10=-6

-6+10=4

4+10=14

14+10=24

The next number in the sequence is 24 as you add 10

A figure with 6 edges.
How many edges does this figure have?

It has
edges.

Answers

Hexagon has six edges. The figure you're trying to figure out is hexagon I guess.

The polygons are similar. but they are not necessarily drawn to scale. Find the value of x

Answers

Answer:

x=9

Step-by-step explanation:

Since the polygons are similar, the ratios of their respective sides are equal.

32/24=(x-1)/6

x-1=8

x=9

hi pls send help
-
brainlist to best answer

Answers

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Hi!

We will have to plug everything in to solve this!

So...

A. -3 * 2 > 6

-6>6 (WRONG)

B. 2 * 2 > 6

4>6 (WRONG)

C. 3 * 2 > 6

6>6 (WRONG)

D> 5 * 2 > 6

10>6 (CORECT)

Hope this helps :)

P.S. the star (*) stands for the multiplication sign!

AD is the perpendicular bisector of BC.
BD = 5x – 10 and DC = 3x + 10.
Determine the value of x.

Answers

5x-10= 3x+10

5x-3x= 10+10

2x÷2= 20÷2

x= 10

Step-by-step explanation:

as AD bisects them they will be two equal parts so

5x-10=3x+10

5x-3x=10+10

2x=20

divide both sides by 2 and

x=10

Esther works for a marketing company. She earns $12 per hour, and she gets a $50 travel allowance every month. Which linear equation could be used to find her monthly pay rate?

Answers

The equation below can be used:

12t x 50a= M (monthly pay rate)

Complete the explanation for how you could find the number of seconds in one full 24-hour day-
Then solve.

You would multiply 24 hours by _____ minutes and then multiply my answer by _____
Seconds.

There are ____ seconds in one full day

Answers

Answer:

Step-by-step explanation:

You would multiply 24 hours by 60 minutes and then multiply my answer by

60 Seconds.

There are 86400 seconds in one full day

Which of the points shown below are on the line given by the equation y = 2x?
Check all that apply

Answers

D, I think
If not I am so sorry

The map of a trail is shown below. Find the value of x.

Answers

16+23=39

180-39=151

Answer:

151

(7) Kade purchased 2 gallons of chocolate milk. Malia purchased 6 quarts of chocolate milk. How much more chocolate milk?

Answers

You would have 12 quarts of chocolate milk o think like I did was home sit in to isthimk

Giving everything. Plzz help.

Answers

The answer in this picture is B(143)

Answer:

A

Step-by-step explanation:

180 _80 =100

180_65= 115

180_72 = 108

Then :

108 + 115 + 100 = 323

Then :

360 _ 323 = 37

Then :

180 _37 = 143

X _7 =143

X =150

HELP ME PLEASE!!!!
I WILL GIVE BRAINLIST!!!!

Answers

Answer:

1/6

Step-by-step explanation:

The answer is A. 1/2
There are 3 odd numbers on the die and 6 total numbers on the die so the answer is 3/6 and when you simplify it. It becomes 1/2

assistance with trying to figure out how to solve this question.

Answers

Answer:

137.24 mm²

Step-by-step explanation:

Big square = 9x9=81

Small rectangle at bottom = 2x3=6

Quarter Circle = 1/4(3.14)(8)(8)=50.24

81+6+50.24=137.24

Question38 ASAP pleaseee

Answers

Answer:

b

Step-by-step explanation:

The respiratory system basically help us breathe.

Find the range of the data.

6, 8, 14, 4, 26, 24, 2, 4, 18, 9

Answers

24
Subtract minimum from maximum
26-2=24

You need to buy enough sand to fill a sandbox to the top. The sandbox is modeled by the right rectangular prism in the diagram. How much sand do you need to buy?

A) 69 cubic feet B) 70 cubic feet Eliminate C) 79 cubic feet D) 80 cubic feet

Answers

Answer:

D is the best choise

Step-by-step explanation:

Which statement describes the system of equations?
(5x-3y – 34
lx-2y-4
O It has infinitely many solutions.
It has no solution,
24 14
O It has one solution | 1313
1-13)
O It has one solution (8, 2).

Answers

Answer:

D. (8,2)

Step-by-step explanation:

It has one solution =)

8k + 4 - 11k + 9 show work please

Answers

-3k+13 or 3k-13 . -11+8 equals 3. 9+4 equals 13

Answer:

8+4−11+9

8+13−11

8+13−11

−3+13

^^^

Step-by-step explanation:

Sam wants to buy a watch that cost $188. This is $48 more than 4 times
he sved last month. How much dia he save last month? *

Answers

Answer:

$35

Step-by-step explanation:

188-48 gives you the 4x what he saved

140/4 gives you the total which is 35.

I need to do this class soon, please help me

Answers

Answer:

Step-by-step explanation:

18. x + 25 = 55

     x = 30

19. 2x - 5 = 95

     2x = 100

      x = 50

20. 3x - 22 = 2x + 26

     x - 22 = 26

     x = 48

21. 3x - 18 + 105 = 180

    3x + 87 = 180

    3x = 93

      x = 31

22. 19x + 17x = 180

      36x = 180

       x = 5

   27(5) = 135

23. 5x + 40 + 2x = 180

7x + 40 = 140

7x = 140

x = 20

5(20) = 100

2(20) = 40

5(20) + 40 = 100 + 40 = 140

The human resources department of an engineering company gives IQ tests to a randomly selected group of new hires every year. They claimed that the mean IQ score of new hires, , from this year is greater than or equal to the mean IQ score of new hires, , from last year. This year, 95 new hires took the test and scored an average of 112.2 points with a standard deviation of 14.0 . Last year, 70 new hires took the IQ test and they scored an average of 117.8 points with a standard deviation of 14.5 . Assume that the population standard deviation of the IQ scores from the current year and the last year can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. Is there enough evidence to reject the claim of the human resources department, at the 0.01 level of significance

Answers

Answer:

Step-by-step explanation:

Null hypothesis: [tex]\mathbf{H_o: \mu_1 \ge \mu_2}[/tex]

Alternative hypothesis: [tex]\mathbf{H_o: \mu_1< \mu_2}[/tex]

This type of test statistic is a z test statistics

                                                                             1st             2nd

Sample mean x =                                                112.2          117,8

Standard deviation σ =                                       14.0            14.5

Sample size n =                                                    95              70

Point estimate [tex]\bar x_1 - \bar x_2[/tex] =                                                      -5.60

Standard error [tex]\sigma_{x_1-x_2}= \sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2} }[/tex]

                                      [tex]= \sqrt{\dfrac{14.0^2}{95} +\dfrac{14.5^2}{70} }[/tex]                      = 2.2509

Test statistics      [tex]z=\dfrac{x_1 - x_2}{\sigma_{x_1-x_2}}[/tex]    [tex]=\dfrac{112.2- 117.8}{2.2509}[/tex]              = - 2.4878

                                       

P-value = 0.012

No, there is no enough evidence Since p-value is greater than 0.01.

classify the segment in each part below. only use the information given in the figure do not assume measures are equal unless the markings indicate they are

Answers

Answer:

i dont know i just need points for more questions sorry

Step-by-step explanation:

Caroline saves money in an arithmetic sequence: $350 the first year, another $550
the second, and so on. How much money does she save after 31 years?

Answers

Hi the answe is actually 762

Pat is walking to a restaurant 6 blocks away. Pat has walked 2 blocks in 7 minutes. How many more minutes to reach the restaurant?

Answers

Answer:

14 minutes

Step-by-step explanation:

6÷2=3

3×7-7=21

Use special right triangles.
Find the exact value of x and y.
18
30°
X = ?
y = ?

Answers

x=18 y=30 you are welcome

0.03858 *0.02 leaving your answer I’m a standard form

Answers

Answer:

0.0007716

Step-by-step explanation:

0.03858 × 0.02 = 0.0007716

58 points I need helpppp!

Answers

Answer:

14. x=30, y=15, z=165

15. x=10, y=25

Step-by-step explanation:

Answer:

1)

x= 30

y=15

z=150

2)

x= 10

y=25

Step-by-step explanation:

1)

2x+90+x=180

3x+90=180

x= 90/3=30

2y= x

2y=30

y= 30/2=15

2y+z= 180

30+z= 180

z= 150  

2)

3x= 5x-20

5x-3x=20

x=20/2=10

2y+4y+ (5x-20) = 180

6y+30= 180

y= 150/6= 25

I hope im right!!

The length of a classroom is 43 feet. What is this measurement in yards and feet?

Answers

Answer: 43 ft = 14.333333 yd/and/or/43 ft = 14 yd 1 ft

Step-by-step explanation:

To convert a foot measurement to a yard measurement, divide the length by the conversion ratio.Since one yard is equal to 3 feet, you can use this simple formula to convert:

yards = feet ÷ 3

The length in yards is equal to the feet divided by 3.

Answer:14.3333 yards equals 43 feet 1 foot is equivalent to .333 yards

Step-by-step explanation:

is going to plant y vegetable seeds in one garden and 3y+8 vegetable seeds in another. How many seeds is Frank going to​ plant?

Answers

Answer:

4y + 8 vegetable seeds

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

We know that Frank has 2 gardens, one with y vegetable seeds and another with 3y + 8 vegetable seeds. If we are trying to find the total amount of seeds planted, we must add the 2 gardens together:

Garden 1: y

Garden 2: 3y + 8

Garden 1 + Garden 2 = Total veggie seeds

y + 3y + 8 = Total veggie seeds

Total veggie seeds = 4y + 8

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