Two ferries just departed from their docks at the same time. Ferry A departs every 1.2 hours. Ferry B departs every 1.8 hours. How long will it be until both ferries depart from their docks at the same time again?

Answers

Answer 1

Answer: It will take 36 minutes(0.6 hour) until both ferries depart from their docks at the same time again.

Step-by-step explanation:

Given : Ferry A departs every 1.2 hours.

Ferry B departs every 1.8 hours.

To find : Time taken by both ferries until they depart from their docks at the same time again.

= LCM (1.2, 1.8) hours   [LCM= Least common multiple]

= LCM (1.2(60 minutes), 1.8(60 minutes))    [Since 1 hour = 60 minutes]

= LCM (72 minutes, 108 minutes)

72 = 2 x 2 x 2 x 3 x 3  , 108 = 3 x 3 x 3 x 2 x 2

LCM (72,108) =2 x 2 x 3 x 3 =36

So, it will take 36 minutes until both ferries depart from their docks at the same time again.

In hour = [tex]\dfrac{36}{60}\text{ hour}=0.6\text{ hour}[/tex]


Related Questions

Does the graph represent a
proportional or non-proportional
relationship?

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Answer:

i think its non-proportional

Hope you guys have a good Christmas!!!

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Answer:

hope I will and you do to

Good capitalization. I am impressed.

Please help tia!!!!!!

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Answer:

i believe the answer for #2 is F but i could be wrong

Answer:

F

Step-by-step explanation:

My sister asks you guys for help once more!
What is the value of 7/10 - 3/6?

Answers

Answer:

Part 1: 10, Part 2: 6

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

7/10 - 3/6

42/60 - 30/60 = 12/60

12/60 = 6/30 = 1/5

please simplify

-2c + 7 + 2c

Answers

Answer:

7

Step-by-step explanation:

Let's simplify step-by-step.

−2c+7+2c

Combine Like Terms:

=−2c+7+2c

=(−2c+2c)+(7)

=7

could someone explain? i will have brainliest! thanks

Answers

Answer:

a. 44

Step-by-step explanation:

using inverse cosine we can find the angle since we have the length of the hypotenuse and adacent  

cos^-1 (13/18) = 43.76

Nick bought jeans for $34.95 and a shirt for $24.95. The cashier said the total cost including 8.5% sales tax was $68.40. Below are the steps the cashier completed: Step 1: 34.95 + 24.95 = 59.90 Step 2: 59.90 + 8.50 = 68.40 Are the cashier's steps correct? If not, explain the error and then state in complete sentences how to calculate sales tax and total cost correctly. Make sure you give the correct total. (Round the final answer to the nearest hundredth

Answers

Answer:

The cashier is wrong

[tex]Amount = 64.99[/tex]

Step-by-step explanation:

Given

[tex]Jeans=34.95[/tex]

[tex]Shirt = 24.95[/tex]

[tex]Sales\ Tax = 8.5\%[/tex]

Solving (a): Is the Cashier's step correct?

The cashier is wrong at step 2 because instead of calculating the sales tax, the cashier add the sales tax percentage to the total cost.

Solving (b):

First, calculate the total cost by adding the cost of jeans and shirt respectively:

[tex]Total = 34.95 + 24.95[/tex]

[tex]Total = 59.90[/tex]

Next, multiply the sales tax percentage to the total cost to get the sales tax amount.

[tex]Sales\ Tax = 8.50\% * 59.90[/tex]

[tex]Sales\ Tax = 5.0915[/tex]

Add the sales tax to the total, this gives the total payable amount.

[tex]Amount = 59.90 + 5.0915[/tex]

[tex]Amount = 64.9915[/tex]

[tex]Amount = 64.99[/tex] approximated

need help w algebra pls asap. i’ll mark brainlist!!

Answers

Answer:

The mistake is that they left the i^2 as it is instead of making it -1 because i is the square root of -1. You fix this by replacing i^2 by -1 and you will get (4-7i)/5

Step-by-step explanation:

Which graph shows the solution to this system of inequalities? y -3x - 2
y < x + 1

Answers

Answer:

C.

Step-by-step explanation:

You're welcome

Which is not Figurative

Answers

the figure of the figure would be figuring out the figurative

Nathan has a 16 ounce energy drink. He drinks 9 ounces. Enter the percentage of ounces Nathan has left of his energy drink. Round your answer to the nearest hundredth

Answers

Answer:

56%

Step-by-step explanation:

Let me know if you need an explanation! Hope this helped :)

Answer:

43.75%

Step-by-step explanation:

step 1

16-9=7

7ounce remains

step2

7 of 16 ounce remains

convert into percentge

7/16×100=43.75%

PLEASE HELP!!!!!


Write the equation in slope-intercept form.
4y + 12x = 16

Answers

Answer:

Y = -3x + 4

Step-by-step explanation:

The given equation in slope-intercept form is y = -3x + 4.

Given that, the equation in slope-intercept form is 4y + 12x = 16.

What is the slope intercept form?

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Here, 4y + 12x = 16

⇒ 4y = -12x + 16

⇒ y = -3x + 4

The slope of an equation is -3.

Therefore, the given equation in slope-intercept form is y = -3x + 4.

To learn more about the slope intercept form visit:

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Solve for x. 4(4x-8)^2+16=25

Answers

Let's solve your equation step-by-step.

4(4x−8)2+16=25

Step 1: Simplify both sides of the equation.

64x2−256x+272=25

Step 2: Subtract 25 from both sides.

64x2−256x+272−25=25−25

64x2−256x+247=0

Step 3: Factor left side of equation.

(8x−13)(8x−19)=0

Step 4: Set factors equal to 0.

8x−13=0 or 8x−19=0

x=13/8 or x=19/8

I have no clue what it is so please help me

Answers

Answer:

B I think

Step-by-step explanation:

John is making a recipe that call for 1/4 cup of flour for every 1/2 cup of water. How much water will he need if he uses 1 1/2 cups of flour?

Answers

he will need 3 cups of water because 1/4 goes into 1 1/2 six times then you multiply the 1/2 for water by that number

Match the number to the quadrant they are on in the complex plane.
4 + 41

-7 +3i

9 - 181

-1 - 31

Answers

Answer:  44

               4

               13

Step-by-step explanation:

A migrating bird flies 378 miles in 14 hours. How many miles does it fly in 3 ​hours?

Answers

Answer:

81 miles

Step-by-step explanation:

378/14=27

The unit rate is 27 miles per hour

27*3 = 81

what is the opposite of the integer -23​

Answers

i think it’s gonna be 23

Answer:

23

Step-by-step explanation:

The opposite of a number is the opposite sign of it. So, the opposite of a negative number is a positive number:

Opposite of -23 is 23

A dolphin was swimming 3 feet below sea level. The number line shows the
location of the dolphin. It then dove down 6 feet. Describe how to use the
number line to find the new location of the dolphin,

Answers

Answer:

-9

Step-by-step explanation:

you have to go left wards 6 times from -3

The correct answer is option C which is on the number line move 6 units left and stop at -9 the dolphin will now be at 9 feet below sea level.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

It is given that a dolphin was swimming 3 feet below sea level. The number line shows the location of the dolphin. It then dove down 6 feet.

In the graph, we can see that from -3 point the 6 units left will be -9 point. Therefore the correct answer is option C which is on the number line move 6 units left and stop at -9 the dolphin will now be at 9 feet below sea level.

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160 is what % of 40
plz explain

Answers

Answer:

150%

Step-by-step explanation:

this is because you can make a part to whole ratio where you have x/100 (which would symbolize the percent) and 160/40 (which would symbolize the part) then, multiply 160 by 100 to get 16000 and then divide by 40 to fulfill the x. Hope this helps!

A car travels 198 miles in 3 hours. Assuming that the distance varies directly with the time, how far will the car travel in 5 hours

Answers

Answer:

330 miles

Step-by-step explanation:

198/3 = 66; this shows how fast the car is going per hour

66 * 5 = 330; this is how far the car goes in 5 hours

Find the value of n: 4/5* n/6=4/5 /n/6

Answers

The value of n is ±6.

What is Multiplication?

Multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

The expression is given as,

4/5 × n/6 = 4/5/n/6

Now, Solve the equation as,

4/5 × n/6 = 4/5/n/6

4/5 × n/6 = 4/5 × 6/n

n/6 = 6/n

After cross multiplication,

n² = 36

Taking square root,

n = √36

n = ±6

Hence, The value of n is ±6.

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The Davis family traveled to Silver Lake in five hours. Their return trip took StartFraction 7 Over 8 EndFraction of the time it took to travel to the lake. How long did the return trip take?

Answers

Answer: Im pretty sure the answer is 4 and 3/8

Step-by-step explanation:

hope this helps!

Answer:

4 and 3/8

Step-by-step explanation:

Plz brainliest

List the first five multiples of each number.
5
7
12
16

Answers

Answer:

For the number 5 the multiples are 5, 10, 15, 20, 25

For the number 7 the multiples are 7 ,14 ,21 ,28 ,35

For the number 12 the multiples are 12 ,24 ,36 ,48 ,60

Last for the the number 16 the multiples are 16, 32, 48, 64, 80

Step-by-step explanation:

HAVE A GOOD DAY!

Answer:

Step-by-step explanation:

5- 5,10,15,20,25.

7- 14, 21, 28,  35

12- 24, 36, 48, 60, 72

16- 32,48,64, 60

I hope this helps:)

What is the written form of 245,698?
O
A. wo hundred forty-five and six ninety-eight
B. two hundred thousand six hundred
OC. wo hundred forty-five thousand six hundred ninety-eight
oD. wo million forty-five thousand six hundred ninety-eight why is there nothing here

Answers

Answer:

C

it is c it is c, can't really explain it further

Answer:The Answer is c

Step-by-step explanation:

two hundred =2

forty=4

five=5

six hundred=6

ninety=9

eight=8

245,698

Plz help im on a timer ​

Answers

Answer: In point-slope form it's y-2=2/3(x-1)

Since you're on a timer I didn't put a explanation if you want a explanation I can put it into this answers comment.


5 people will equally split 861 acres of land. How much land will each person get?
Write your answer as a decimal.

Answers

Answer:200.25

Step-by-step explanation:

What will happen to the slope of line P if the line is shifted so that the y-intercept increases and the x-intercept remains the same?


The slope will change from positive to negative


The slope will increase


The slope will change from negative to positive


The slope will decrease

Answers

Answer:

Step-by-step explanation:

⊕ The slope will increase

Solve Each Equation PLS SHOW WORK

9. |8m + 7| - 5 = 60

Answers

Answer:

Step-by-step explanation:

assuming '|' is ()

(8m + 7) - 5 = 60

8m + 7 = 60 + 5 = 65

8m = 65 - 7 = 58

m = 58/8 = 7.25

estimate of 372 divided by 4

Answers

That gives you 93. But round down to 90
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