A tugboat goes 72 miles upstream in 9 hours. The return trip downstream takes 4 hours. Find the speed of the tugboat without a current and find the speed of the current.

Answers

Answer 1

Step-by-step explanation:

72÷9= 8, so the boat was only doing 8mph going upstream (against the current) the return trip downstream only took 4 hours. 72÷18=4 meaning the boat was traveling at 18mph downstream (no current) there is a 10mph difference between upstream and downstream therefore the current had to be running at 10 mph. so the speed of the tug boat is 8mph without a current and the current is running at 10mph.


Related Questions

16 teams of hockey are playing. each team plays two matches against another team. how many matches are played

Answers

Answer:

240

Step-by-step explanation:

Simplify (23)-2
- -13
2
ОО
O 64
DONE

Answers

9514 1404 393

Answer:

  (b)  (correct choice is marked)

Step-by-step explanation:

The expression can be evaluated according to the Order of Operations and the rules of exponents.

  (2^3)^-2 = 8^-2 = 1/8^2 = 1/64

__

The applicable rule of exponents is ...

  a^-b = 1/a^b

Answer:

The correct answer choice is option b. 1/64

Step-by-step explanation:

(2^3)^-2

= 2^3(^-2)

= 2^-6

= 1/2^6

= 1/64

2. rx + h = -k
solve for x?

Answers

Answer:

x=(-k-h)/r

Step-by-step explanation:

rx+h=-k

subtract h from both sides.

rx=-k-h

divide both sides by r.

x=(-k-h)/r

25,812-4.2d=31.311-5.5d

Answers

Answer:

d=−19831.299231

Step-by-step explanation:

Your grandfather placed $5,000 in a trust fund for you. In 12 years, the fund will be
worth $10,000. What is the rate of return on the trust fund?

Answers

Answer:

fv/pv=(1+r)^n

10,000/5000=(1+r%)^12

2=(1+r%)^12

r= 5.95

Step-by-step explanation:

fv/pv=(1 + r)^n

10000/5000=(1 + r%)^12

2=(1 + r%)^12

r=5.95

I keep getting it wrong help

Answers

the answer is c, the x intercept is where the line touches the x axis

Lucy has read 500 pages of her summer reading assesment, and Angie has read 460 pages. Lucy has reads 10 per week for the remainder of the summer, and Angie reads 20 pages per week for the remainder of the summer. Write and solve an equation to show how many weeks it will take before the girls have read the same amount of pages.​

Answers

Answer:

It would take four more weeks before the two read the same number of pages.

Step-by-step explanation:

Let [tex]x[/tex] denote the number of extra weeks required before the two read the same number of pages.

Express the number of pages each would read between now and [tex]x[/tex] weeks into the future:

Lucy reads [tex]10[/tex] pages per week. Thus, she would have read [tex]10\, x[/tex] additional pages after [tex]x[/tex] more weeks.

Angie reads [tex]20[/tex] pages per week. She would've read [tex]20\, x[/tex] additional pages after [tex]x[/tex] more weeks.

It is also given that Lucy has already read [tex]500[/tex] pages. After reading [tex]10\, x[/tex] pages in the upcoming [tex]x[/tex] weeks, Lucy would have read a total of [tex](500 + 10\, x)[/tex] pages.

Likewise, after reading [tex]20\, x[/tex] pages in the upcoming [tex]x[/tex] weeks, Angie would have read a total of [tex](460 + 20\, x)[/tex] pages.

It is assumed that the two would have read the same number of pages after these [tex]x[/tex] more weeks. In other words:

[tex]500 + 10\, x = 460 + 20\, x[/tex].

Solve this equation for [tex]x[/tex]:

[tex]x = 4[/tex].

In other words, Lucy and Angie would have read the same number of pages after four more weeks.

A polynomial of degree at least 3 where one or more of the roots are fractions

Answers

#1 p(x)=(x-3)*(x-5)*(x-1)=x3-9x2+23x-15

You try the next one...a fractional root would look like (x-3/2)

Using the Factor Theorem, it is found that an example of a polynomial of degree at least 3 where one or more of the roots are fractions is given by:

[tex]f(x) = x^3 - \frac{7}{2}x^2 + \frac{1}{2}x - 1[/tex]

Factor Theorem: The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem:

A polynomial of degree 3 will be built, hence it will have 3 roots.A leading coefficient of a = 1 is supposed.Two non-fractional roots, which are x = 1 and x = 2, hence [tex]x_1 = 1, x_2 = 2[/tex].The fractional root is [tex]x_3 = \frac{1}{2}[/tex].

Hence:

[tex]f(x) = (x - x_1)(x - x_2)(x - x_3)[/tex]

[tex]f(x) = (x - 1)(x - 2)\left(x - \frac{1}{2}\right)[/tex]

[tex]f(x) = (x^2 - 3x + 2)\left(x - \frac{1}{2}\right)[/tex]

[tex]f(x) = x^3 - \frac{7}{2}x^2 + \frac{1}{2}x - 1[/tex]

To learn more about the Factor Theorem, you can take a look at https://brainly.com/question/24380382

How to give a fraction of an hour

Answers

Answer:

An hour is 60/1

Step-by-step explanation:

Use the given figure (triangular)to find the length of x. x+14 28 ​

Answers

Step-by-step explanation:

Answer. Finding the missing side of a right triangle is a pretty simple matter if two sides are known. One of the more famous mathematical formulas is a2+b2=c2 a 2 + b 2 = c 2 , which is known as the Pythagorean Theorem.

5/3=x/6 can you find out what x is pls

Answers

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

5/3 = x/6

= 5×6/3 = x

= 30/3 = x

= 10 = x

= x = 10

Hope it helps!

Brainliest pls!

Follow me! ♧

Answer:

x=10

Step-by-step explanation:

3*2=6 and using giant one its 5*2 which is 10

10/6

The graph shows the amount of money paid when purchasing bags of candy at the zoo:


What is the constant of proportionality of the image shown below?

A. 1/2
B. 3/4
C. 1
D. 2

Answers

Answer:

D

Step-by-step explanation:

The proportions is 2

hope this helps

Each unit in the graph above is one block. How far would you have to walk from the harbor to the magic shop and then return to the harbor?
Question 3 options:


A)
5 blocks


B)
9 blocks


C)
3 blocks


D)
6 blocks

Answers

Answer: 6 blocks

Explanation: I counted the distance between the harbor and magic shop.

Arnold finished reading 2/3 part of the assigned book for his book report. Greg, on the other hand, has read 3/4 part of the assigned book/novel. Which boy has read more pages?

Answers

Answer:Greg has read more pages because 3/4 is bigger then 2/3

Step-by-step explanation:

5. What number is in the ones place of a product of 10 and
another number? Explain.

Answers

0 because the 1 is in the tens place and the 0 is in the ones place It’s always going to be on the right if it isn’t a decimal

A product of 10 has a number in one's position, and another figure will be 0.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The one number is 10.

And let the other number of two digits will be xy.

Then the product of 10 and another number will be

10 × xy = xy0

The number at ones place when the product of 10 and another number will be 0.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Solve for x. x/3 < -6

-

Answers

Answer:

x < -18

Step-by-step explanation:

x/3 < -6

3 × x/3 < 3 × (-6)

x < 3 × (-6)

x < -3 × 6

x = -18

What is the distance between the points (1,-6) and (5,-3)?

Answers

Answer: 5 is the answer

Use the distance formula to determine the distance between two points.

Answer:

[tex]\displaystyle d = 5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (1, -6)

Point (5, -3)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(5 - 1)^2 + (-3 + 6)^2}[/tex][Order of Operations] Evaluate:                                                                      [tex]\displaystyle d = \sqrt{25}[/tex]Simplify:                                                                                                             [tex]\displaystyle d = 5[/tex]

Evaluate. 4^3⋅(100÷25)−5^0

Answers

Given

[tex]4 {}^{3} .(100 \div 25) - 5 {}^{0} [/tex]

Solution

[tex] {4}^{3} \times (100 \div 25) - {5}^{0} \\ \\ = 64 \times 4 - 1 \\ \\ = 256 - 1 \\ \\ = 255[/tex]

[tex] \fbox \red{Hope This Helps }[/tex]

Answer:

255

Step-by-step explanation:

1) Simplify 100 ÷ 25 to 4.

4³ × 4 - 5⁰

2) Use Rule of Zero: x⁰=1

4³ × 4 - 1

3) Use Product Rule

4⁴ - 1

4) Simplify 4⁴ to 256

256 - 1

5) Simplify

255

Find the intercepts of the following equation
7x^2+y=7

Answers

Cuz s. Shush’s d d Shaun’s s fussiness s

What is the equation of a line that passes trough (6,-1) and is parallel to the line that has a slope of -2/3?

Answers

Answer:

y=-2/3x+3

Step-by-step explanation:

First, identify the slope you need for your equation. The keyword here is "parallel" so the slope you need is the same as the given slope (-2/3).

Next, use the ordered pair (6,-1); it's on the line that you need to find the equation for. Using slope-intercept form (y=mx+b), plug the -1 in for y, plug the 6 in for x, and plug in your slope of -2/3 for m. Solve for b, your y-intercept. You should get 3.

You have your slope and y-intercept now. Create your equation:

y=-2/3x+3.

Mr. Singer's choir is going to New York City for a choir competition. He wants them to look their best, so he buys new music folders for all of the members. Each music folder costs $7.99. If Mr. Singer buys 23 music folders, how much does he spend?

Answers

Answer: 183.77

Step-by-step explanation:

23*7.99 =183.77

Devan stand s926 meters

Answers

Answer:

I believe your missing part of the question.

help plz help

send photo


plz​

Answers

Answer:

See below

Step-by-step explanation:

9 a)

8 + 3/4 = 8.75 cm

b)

10 + 5 + 3 = 18 kg

c)

1 + 1/5 = 1.2 l

10 a)

65 - 1 = 64 cm

b)

100 + 100 * 2.5/4 = 162.5 ml

c)

20 + 4.2 = 24.2° C

Solve for w.

–1.01 = 1.4(w + 2) − 2.41

I SWEAR TO GOD PLEASE SOME ANSWER

Answers

Answer:

w= -1

Step-by-step explanation:

-1.01 = 1.4(w + 2) - 2.41

add 2.41 to both sides

1.4 = 1.4(w + 2)

divide by 1.4 on both sides

1=w+2

subtract 2 on both sides

-1 =w

Genevieve spent $56.25 to fill her 15-gallon tank. How much did she pay per gallon?

A. $3.25
B. $3.50
C. $3.75
D. $4.00

Answers

The answer is $3.75 because you would divide $56.25 by 15

Liam's mom was getting ready to make dinner and
found she was out of potatoes for her famous
smashed potatoes. Liam volunteered to go to the
store and get potatoes for his mom. He spent $11.52
for 12 pounds of potatoes. How much did he spend
per pound?

Answers

Answer:

$0.96

Step-by-step explanation:

Take your cost and divide it by your amount.

$11.52/12 = 0.96

Mary and Jeff both have jobs at a baseball stadium selling bags of peanuts. They each get paid $12 per game
and $1.75 for each bag of peanuts they sell. (A-CED.1)

a.) How many bags of peanuts does Jeff need to sell to earn $54?

b.) How much will Mary earn if she sells 70 bags of peanuts at a game?

Please please help me please please I will give you brainless

Answers

a) 1.75p + 12 = 54
1.75p = 42
p = 24 bags

b) 1.75(70) + 12 = b
122.5 + 12 = b
b = $134.50

is arccos equal tu sec ?​

Answers

yes it is equal to tu sec.

Two numbers that will multiply to -45 and also add to 4

Answers

Answer:

your numbers are -5 and 9, since 9 * -5 = -45 but 9 + (-5) = 9 - 5 = 4

Answer:

The numbers are 9 and -5

Step-by-step explanation:

9×-5= -45

9-5 = 4

Vivi steps off a 10-foot-high diving board and goes 7 3/8 feet below the surface of the swimming pool, then back up to the surface. How far does she travel altogether

Answers

Answer:

Your answer is 24 3/4 if you want it decimal wise it would be 24.75

Step-by-step explanation:

Well, let's set up our equation first. 10 (she jumped down 10 feet) + 2(7 3/8) (we are multiplying this by 2 because she first went under the surface then went back up to the surface)

Since distance is never negative you won't add any negative symbols, you'll simply add. First 2(7 3/8) = 59/4 or 14 3/4 | Next we add 10 to it 14+10 = 24 3/4

Your answer is 24 3/4 if you want it decimal wise it would be 24.75

Other Questions
k. What do you know about Reduce, reuse and recycle. Explain excerpt from "Solitude" by Henry David ThoreauThis is a delicious evening, when the whole body is one sense, and imbibes delight through every pore. I go and come with a strange liberty in Nature, a part of herself. As I walk along the stony shore of the pond in my shirt sleeves, though it is cool as well as cloudy and windy, and I see nothing special to attract me, all the elements are unusually congenial to me. The bullfrogs trump to usher in the night, and the note of the whippoorwill is borne on the rippling wind from over the water. Sympathy with the fluttering alder and poplar leaves almost takes away my breath; yet, like the lake, my serenity is rippled but not ruffled. These small waves raised by the evening wind are as remote from storm as the smooth reflecting surface. Though it is now dark, the wind still blows and roars in the wood, the waves still dash, and some creatures lull the rest with their notes. The repose is never complete. The wildest animals do not repose, but seek their prey now; the fox, and skunk, and rabbit, now roam the fields and woods without fear. They are Nature's watchmen, links which connect the days of animated life. . . .Some of my pleasantest hours were during the long rain storms in the spring or fall, which confined me to the house for the afternoon as well as the forenoon, soothed by their ceaseless roar and pelting; when an early twilight ushered in a long evening in which many thoughts had time to take root and unfold themselves. . . . Men frequently say to me, "I should think you would feel lonesome down there, and want to be nearer to folks, rainy and snowy days and nights especially." I am tempted to reply to such,This whole earth which we inhabit is but a point in space. How far apart, think you, dwell the two most distant inhabitants of yonder star, the breadth of whose disk cannot be appreciated by our instruments? Why should I feel lonely? Is not our planet in the Milky Way? This which you put seems to me not to be the most important question. What sort of space is that which separates a man from his fellows and makes him solitary? I have found that no exertion of the legs can bring two minds much nearer to one another.Which sentence best expresses the author's viewpoint about being alone in "Solitude"? A.Being alone can be extremely pleasant.B.Being alone inevitably means feeling lonely.C.Only certain types of people can stand being alone.D.One is never truly alone. 10x-1/3y=15solve for y Cortney had 5 pieces of candy Cortney ate 1 piece how many pieces does Cortney have left? HURRY UP I NEED HELPWhat is the slope of the line that passes through the points (3, 1) and (1, 5)? 1/2 2/3 3/2 I don't know. Anitha and Jyothi shared some money. Anitha had $4x and Jyothi had $(2x + 8).Both of them had $56 altogether. Find the value of x and hence find out how muchdid Jyothi get? Answer each questions. 1) Read the sentences below and sort out the ideas and opinions. In the spaces provided type F (fact) or O (opinion) to identify each. A) A mile contains 1,760 yards. B) That isn't the right answer. C) Yes, it is. Sarah is always right! D) No, she's not! Tommy is smarter than she is. E) Let's look in the math book. F) Where's the math table? Question 2: Give 4 opinions about school. Question 3:Give 4 opinions about your favorite place to eat. Mexican food. ( Will Mark Brainliest). Leon bridges and Bessie Coleman essay and their journey ESSAY Help. For this assignment, you will fill in the blank with the proper verb conjugation. The verb highlighted in yellow is the one you will be using in your sentence. Submit the answer with the sentence and the verb. 1. Yo ___________(hablar) con mi madre. 2. Miguel y Juan ________ (sacar) buenas notas. 3. T _______ (estudiar) mucho. 4. Nosotros _________(escuchar) la msica. 5. Ustedes _________ (dibujar) en la clase de arte. 6. Ella siempre ________(participar) en la clase. 7. Usted _________ (entregar) la tarea (homework). 8. Vosotros ________ (tocar) la guitarra. 9. Paloma y yo ___________ (mirar) la television. 10. Juana y t __________ (necesitar) una calculadora para la clase de matemticas. Select the statements that are true of the Spanish exploration and conquests in America.(you can choose multiple)They often searched for legends.They were very kind to the Natives.They sought a new route to Asia.They made many political allies.They claimed very little land except along the coast.They brought Spain great wealth.They attracted a great deal of interest in Spain.They were looking for wealth. Cmo se comparan nuestros Juegos Olmpicos modernos con los Juegos Olmpicos de la Antigua Grecia? Please complete the following questions. It is important that you use complete sentences and present the questions and answers when you submit your work.Critical Thinking Questions1. Describe a recent modern story you heard, read, or saw. Explain how that story taught you an important idea about life, family, or society. Be sure to talk about where/how you heard/read about the story in your description.2. Describe a simulation game youve played recently or have heard about (you may even propose a simulation game idea yourself). Explain why that game fits the definition of a simulation.3. In an age of books, films, and television, why are games important?Think of a game you enjoy. For that game, describe some of its objectives, rules, operation, obstacles, and outcomes.4. What is the main difference between a video game and other types of games (board games, card games, tag, etc.)? What are the similarities? hello!en qu ao se descubri america? Someone plz help me :( What does Jim buy for Della? Which of the following expressions is equivalent to 2578?A 2578B 5278C 5287D 2587 Answer for brainily fast Strength and conditioning exercises increases ____________. Question 5 options:Muscle Strengthheart rateflexibility Pleas Help!!! I keep getting scammed!!!Evaluate the expression for the given values of the variables.(n + 5)2 for n = 7When n = 7, the expression is equal to... Someone please HELP!!! Ill make it brainliest