It takes 3 hours for a boat to travel upstream against the current and 1.8 hours to travel the same distance downstream with the current. What is the speed of the boat in still water if the speed of the current is 3 mph?

Answers

Answer 1

Answer:

Step-by-step explanation:

There are a couple of things to know before we set up the table for this problem. First, we need to remember that if the boat is traveling against the current, that the current is going to slow the boat down; likewise, going with the current will speed the boat up. Second, we need to realize that if the boat's distance against the current is the same as the distance with the current, then the distances in the equations will be set equal to one another.

Set up the table with U (against the current) and D (with the current) on the outside and fill in what we are given:

                      d           =           r            x            t

U    

D

This is the table. Now we will fill it in:

                     d           =           r              x            t

U                                         r - 3             x            3

D                                         r + 3             x           1.8

The formula for the distance equation is at the top of the table as d = rt. We already decided that the distances that the boat traveled upstream and downstream were the same so we will set those d values equal to each other, but we first need to get the d value for each row. If distance = rate times time, then for the first row:

d = (r - 3)3 and

d = 3r - 9. For the second row:

d = (r + 3)1.8 and

d = 1.8r + 5.4. Setting them equal to each other:

3r - 9 = 1.8r + 5.4 and

1.2r = 14.4 so

r = 12 mph


Related Questions

The box-and-whisker plot shown displays the number of hours 20 student athletes spend exercising during the week.

Which number best describes the range of the data in the box-and-whisker plot?
A. 25
B. 15
C. 10

Answers

15 because 20-5 is 15

The number that best describes the range of the data in the box-and-whisker plot is 15.

What is the range?

A box plot is used to study the distribution and level of a set of scores the scores are distributed into 4 groups. Each group has a value of 25%. The box plot consists of two lines and a box. the two lines are known as whiskers. the whiskers represents the minimum and maximum values.

Range = maximum value - maximum value  

20 - 5  = 15

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The planet Neptune orbits the Sun. Its orbital radius is 30.1 30.130, point, 1 astronomical units ( AU ) (AU)left parenthesis, start text, A, U, end text, right parenthesis. Assuming Neptune's orbit is circular, what is the distance it travels in a single orbit around the Sun? Give your answer in terms of π

Answers

adius is 30.1 astronomical units (AU). assuming neptunes orbit is circular, ... The distance it travels in a single orbit around the sun is ... Its orbital radius is 30.130.130, point, 1 astronomical units (\text{AU})(AU)left parenthesis, start text, A, U, end text, right parenthesis.

Answer:

60.20 pi

Step-by-step explanation:

to find curicumfrance with raidus all u have to do is multiply 30.1 ( the radius ) by 2 to get the curicumfrance

30.1*2 = 60.20

then u would multifply 60.20 by 3.14 ( pi) but in this case we can just put the pi

so the answer is 60.20 pi

-Hope this helps

plz mark brainlyest, rate and thank me

hi! i’ll give brainliest please help

Answers

Answer:

third option mechanical weathering

Step-by-step explanation:

in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .

Select the correct answer from each drop-down menu.
Tyler packed 8 shirts for a trip. Six of the shirts are short-sleeved.
He randomly selects a shirt from his suitcase, replaces the shirt, and then selects another.

The two times Tyler selects a shirt from the suitcase are( dependent, independent) events
The probability that he selects a short-sleeved shirt both times is (3/4, 9/14, 9/16, 15/28)

I think the first one is independent but I’m not sure on the second.

Answers

Answer:

The two times Tyler selects a shirt from the suitcase are independent events

The probability that he selects a short-sleeved shirt both times is 9/16.

Step-by-step explanation:

We know whether this event is independent or dependent if the first outcome affects the second outcome. With the information given, we know this event is independent because Tyler replaced the shirt when he chose a second time, meaning the total amount of shirts didn't change.

To find the probability, we use the multiplication rule:

[tex]\frac{6}{8}[/tex] ← the amount of short-sleeved shirts Tyler has

[tex]\frac{6}{8}[/tex] × [tex]\frac{6}{8}[/tex] = [tex]\frac{36}{64}[/tex] = [tex]\frac{9}{16}[/tex]

- 2022 Edmentum

The two times Tyler selects a shirt from the suitcase are independent events, the probability that he selects a short-sleeved shirt both times is 9/16, the correct option is C.

What is Probability?

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

The number of short sleeved shirts are 6

Total number of shirts is 8

The event is independent as the second event is not dependent on the first event as the shirt is being replaced by another shirt.

The probability that he picks a short sleeved shirt is (6/8)

The probability that he picks a short sleeved shirt both times is

= (6/8) *(6/8)

= (9 /16)

To know more about Probability

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Am I right?


(No link pls <3)

Answers

Answer:

yes, your right!

Step-by-step explanation:

yes you're right and this you done by using Pythagoras theorem!

Which phrase represents the algebraic expression for r + 12?
A. The difference of a number and twelve.
B. The product of a number and twelve.
C. The quotient of a number and twelve.
D. The sum of a number and twelve.

Answers

The answer to your question is D

Answer: D) The sum of a number and twelve

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

Explanation:

r = an unknown number

r+12 = sum of the unknown number and 12

The term "sum" refers specifically to the result of an addition problem.

As another example, saying 2+3 = 5 has a sum of 5.

An umbrella manufacturer has 1584 umbrellas to pack for shipment one case will hold 38 umbrellas how many cases will the company need to ship all of their umbrellas

Answers

Answer: 42

Step-by-step explanation:

Given

An Umbrella manufacturer has [tex]1584\ \text{Umbrellas}[/tex]

One case will hold [tex]38[/tex] Umbrellas

Number of cases required to hold all the Umbrellas are

[tex]\Rightarrow n=\dfrac{1584}{38}\\\\\Rightarrow n=41.68\approx 42[/tex]

Thus, 42 packs are required to hold all the Umbrellas

Find the surface area of the rectangular prism
2km
4km
6km

Answers

Answer:

88km is your answer

Step-by-step explanation:

brainlest pls

Find the line of inclination of the line if its slope is -√3​

Answers

Answer:

120° or 300°

Step-by-step explanation:

Given,

Slope (m) = -√3

Inclination (α) = ?

Now,

We know,

m = tanα

or, -√3 = tanα

or, tan(120° or 300°)  = tanα

∴ α = 120° or 300°

∴ Inclination is 120° or 300°

What is the volume of the figure?

Answers

9514 1404 393

Answer:

  C.  205.3 units²

Step-by-step explanation:

The volume of the figure is the sum of the volumes of ...

  1/2 sphere of radius 2

  cylinder of radius 2 and length 12

  cone of radius 2 and length 9

The formulas for the volumes of a sphere, cylinder, and cone are ...

  V = 4/3πr³ . . . sphere

  V = πr²h . . . . cylinder

  V = 1/3πr²h . . . cone

Then the sum of the volumes is ...

  1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'

     where h is the cylinder height and h' is the cone height

  = πr²(2/3r + h + 1/3h')

  = π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507

The volume of the figure is about 205.3 units³.

Dos calles tienen las siguientes longitudes 2 2/5 y 1 3/4 de kilometro cual es la longitud total de ambas

Answers

Answer:

La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]

Step-by-step explanation:

Dos calles tienen las siguientes longitudes: [tex]2\frac{2}{5}[/tex] y [tex]1\frac{3}{4}[/tex] de kilometro. Para calcular la longitud total de ambas calles debes sumar ambas longitudes:

[tex]2\frac{2}{5}+1\frac{3}{4}[/tex]

Para sumar fracciones mixtas, en primer lugar sumas la parte entera:

2+1= 3

Luego se deben sumar las fracciones. Para ello, es necesario encontrar el común denominador. En este caso el común denominador entre 5 y 4 es 20.

Ahora debemos amplificar las fracciones al común denominador. Esto es, se divide por el denominador de cada fracción y el resultado se multiplica por el numerador de la fracción:

[tex]\frac{2}{5}+\frac{3}{4}=\frac{8+15}{20} =\frac{23}{20}[/tex]

Entonces el resultado de la suma es:

[tex]3\frac{23}{20}[/tex]

La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]

On a number line, the distance between x and 8 is 2 units.

Which equation can be used to determine the possible values for x?


​2−|x|=8​

​|8−x|=2​

​​|2−x|=8​

​8−|x|=2

Answers

Answer:

|8−x|=2

Step-by-step explanation:

because you have to subtract them together to see how far apart they are

7 1/2 divided by 3/4 =

Answers

Answer:

10

Step-by-step explanation:

[tex]7 \frac{1}{2} \div \frac{3}{4} \\ [/tex]

[tex] \frac{15}{2} \div \frac{3}{4} \\ [/tex]

[tex] \frac{15}{2} \times \frac{4}{3} \\ [/tex]

[tex] \frac{60}{6} = 10 \\ [/tex]

for a smoothie Isaac needs 3 quarts of strawberry puree which is sold in bottles of 1 pint and bottles of 1 cup he already had 1.75 quarts of puree if he wants to buy exactly three bottles in total how many of each bottle should he buy pleasee help its really important ​

Answers

Answer:

There are 2 bottle of 1 pint and 1 bottle of 1 cup.

Step-by-step explanation:

Okay, so first let's look at the conversion factors of these units:

   1 quart=2 pints & 1 quart= 4 cups.

Alright well, we already have 1.75 out of 3 quarts of the strawberry puree so all

we need left is 1.25 quarts left. So since 1 pint= .5 quarts and 1 cup=.25 quarts

we need to buy 2 pints and 1 cup to give us our three quarts.

 Hence, there are 2 bottle of 1 pint and 1 bottle of 1 cup.

Hope this answer helps you :)

Have a great day

Mark brainliest

7900 in standard form

Answers

Answer:

7.9 X 10^3

standard form means it has to between 1 and 10

HELP HELP HELP FIRST RIGHT ANSWER GETS BRAINLIEST​

Answers

infinite, have a nice day and i how it helps!

Answer:

No solution

Step-by-step explanation:

2x - y = 8

2x - y = 6

They are the same unknown variable, if they equate different things, there is a problem.

bcs 2x-y - (2x - y) = 2x - 2x - y + y = 0

but 8-6 ≠ 0

Thus this is unsolvable.

Find two numbers that multiply to be -18 and add up to be -7

Answers

It’s (-9,2) or (-2,9)

Brian and his friend Tom had a lemonade stand. They spent $40 on supplies. They sold $160 of lemonade in 5 hours. If the boys split the money left over evenly, how much money did Brian make each hour?

Answers

Answer:

40

Step-by-step explanation:

160-40=80/2=40

Answer:

$12/ hour

Step-by-step explanation:

revenue: 160

profit: 160 - 40 = 120

Brian's profit: 120/2 = 60

Hourly profit: 60/5 = 12

PLEASE MARK BRAINLIEST THANK YOU

what is the value of x,if x=3²​

Answers

Answer:

x=9

Step-by-step explanation:

x = 3^2

x = 3*3

x=9

the answer to ur question is x=9

Pythagorean Theorem Digital Escape,I need help with the Answer Immediately!!!!!!!!

Answers

Answer:

HCFD

Step-by-step explanation:

a² + b² = c² => a² = c² - b² => a = √(c² - b²)

=> the height of the window = √[(the given length of the latter)² - (the distance from the latter to the base of the building, 3.5 meters)²]

A) √(5.5² - 3.5²) ≈ 4.24 => H

B) √(8.8² - 3.5²) ≈ 8.07 => C

C) √(9.3² - 3.5²) ≈ 8.62 => F

D) √(7.9² - 3.5²) ≈ 7.08 => D

Someone please help me out!

Answers

Answer:

It is 3

Step-by-step explanation:

Max = how high it will go at most

Min. = how low it will go at most

It’s C. 3
Explanation: Maximum is the highest the line goes and the minimum is the lowest the line goes.

25% of all the cakes a baker makes are fruit cakes. The baker made 5 fruit cakes. What is the total number of cakes the baker made?

Answers

Answer:

so here 25%=5

25×2=50, 5×2=10

50%=10

50%+50%=10+10

100%=20

baker makes total 20 cakes

list power power set of a:{1,2}​

Answers

Answer:

Number of elements in set = n(B) = 3 . Therefore, Number of elements in power set = 2^n(B) = 2^3 = 8 . Hope helped!

Step-by-step explanation:

Can someone help me with this pls, is super important

Answers

x = 50 degrees
y = 50 degrees

Explanation:

x + 130 = 180 (Angles between parallel lines)
x = 50

y = x = 50 (Corresponding angles)

What is the equation of the line that passes through the point (−7,4) and has a slope of 0?

Answers

Answer:

Step-by-step explanation:

equation of a line

y=mx+b

y=0*x+b

y=0+b

y-0=b

since the line passes through the point (-7,4) it satisfies the equation

4-0=b

4=b

substituting the value of b in

y-0=b

y-0=4 is the required equation.

Which transformation will always map a parallelogram onto itself?
OA
a 90° rotation about its center
B.
a reflection across one of its diagonals
Ос.
a 180° rotation about its center
OD.
a reflection across a line jolning the midpoints of opposite sides

Answers

Answer:  C) a 180 degree rotation about its center

Explanation:

Draw out a rectangle and make sure it's not a square. So you could have it be longer than it is tall. Imagine rotating that rectangle 180 degrees. The before and after (preimage and image) will be identical. The same applies if we slanted the sides of this rectangle. This shows that any parallelogram has rotational symmetry.

Side note: any rectangle is a parallelogram, but not the other way around.

can someone help me solve this question? asap​

Answers

Answer:

i.x=1      (x,y)=(1,3)

y=3

ii.x=2      (x,y)=(2,4)

y=4

iii.x=3      (x,y)=(3,5)

y=5

iv.x=4       (x,y)=(4,6)

y=6

v.x=5        (x,y)=(5,7)

y=7

Step-by-step explanation:

the maddens drove 120 miles in 4 hours, at this rate how long will it take them to drive 480 miles.

Answers

Answer:

16 hours

Step-by-step explanation:

120/4 = 30 miles per hour

480/30 = 16 hours

What is the value of x in the diagram?
у
X
X-20

Answers

Answer:

y= 35⁰

x = 55⁰

Step-by-step explanation:

total angle of triangle is 180⁰

therefore we can equate:

x + (x-20) + 90 = 180

2x + 70 = 180

x = 55⁰

total of x and y is equal to 90⁰ since it is a right angle;

x + y = 90

x = 55⁰

55⁰ + y = 90

y = 35⁰

PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH

Answers

Answer:

The graph on the right. y= 5, 6, 7, 8

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