If there are 4 ships at a port and the first one leaves and comes back every three weeks, the second one every nine weeks, the third one every 12 weeks, and the fourth every 24 weeks when will they all be in the port at the same time/when will they be there all at the same week

Answers

Answer 1

Answer: After 72 weeks they will be in the port at the same time.

Step-by-step explanation:

Given, Total ships = 4

The first one leaves and comes back every 3 weeks, the second one every 9 weeks, the third one every 12 weeks, and the fourth every 24 weeks .

So, the number of weeks they will take to  be in  the port at the same time = L.C.M. (3, 9, 12 , 24)   (L.C.M. = least common multiple)

Since, 9= 3 x 3

12 = 2 x2 x 3

24 = 2 x 2x 2 x3

then, L.C.M. (3, 9, 12 , 24)= 2 x 2x 2 x 3 x3 =72

Hence after 72 weeks they will be in the port at the same time.


Related Questions

simplify 8/9/20 please​

Answers

0.05 is the answer next time try and put it in proper format

The value of  8/9/20 could be either 0.04 or 17.77.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

Given the fraction,8/9/20

Case 01)

(8/9)/20 = 0.888/20 = 0.044.

Case 02)

8/(9/20) = 8/0.45 = 17.77.

Hence "The value of  8/9/20 could be either 0.04 or 17.77".

For more about fractions,

https://brainly.com/question/10354322

#SPJ2

HELP ME THX I don't want to fail...

Answers

Answer:

EF = 11

JK = 32

Step-by-step explanation:

Because the average of  10 and 12 is 11, therefore that would be the answer, since EF has a slite angle, finding the average of the largest side length and the opposite side would be the best way to find it.

Because the average of 28 and 36 is 32 your answer would be 32, this is from adding both lengths on LJ, which is 12 and 24, I added them to get 36, then found the average, the average was 36,  meaning that this was your answer.

During a 60-minute period, a traffic engineer counted 54 trucks and cars that crossed a bridge. The ratio of trucks to cars that travel across the bridge is usually 2:7. The equation LaTeX: \frac{2}{7}=\frac{t}{54-t}2 7 = t 54 − t can be used to predict the number of trucks, t, the engineer should have counted. How many trucks should the engineer have counted?

Answers

Answer:

Step-by-step explanation:

Given the expression for the equation representing the prediction of number of trucks as;

2/7 = t/54-t where t is the number of trucks

To get the number of trucks t, we will have to evaluate the expression and solve for t as shown;

Given 2/7 = t/54-t

Cross multiply

2(54-t) = 7t

Open the parenthesis

2(54)-2t = 7t

108-2t = 7t

7t+2t = 108

9t = 108

Divide both sides by 9

9t/9 = 108/9

t = 21

Hence the engineers should have counted 21trucks

simplify: 3a-4b+5a+10b

Answers

Answer:

Step-by-step explanation:

8a+6b

Answer:

8a+6b

Good Luck!!!

Complete the pattern.

5, 10, 30, 60, 180, ____

Answers

Answer:225

Step-by-step explanation:

Which equation shows an example of the associative property of addition?
(4+1) + 4 = 4 + (i + 41)
(4 + 1) + 41 = 4j + (-41 + 1)
4 • (-41 + 1) = (41 – 41) + (41 - 1)
O (-41 + 1) + 0 = (-41 + 1)

Answers

Answer:

A i think

Step-by-step explanation:

It’s A,I’m sure it is or just look it up but tbh I need more points

While making desserts for a bake sale, Steve used 5/6 of a scoop of brown sugar as well as 1/6 of a scoop of white sugar. How much more brown sugar did Steve use?

Answers

Answer:

5/6 - 1/6 = 4/6 = 2/3

Step-by-step explanation:

Since both numbers' denominators are the same, all you have to do is minus normally on the top numbers. You would take the difference and put it on the same denominators. Finally simplify!

Qd=240-5P
Qs =P
Where qd is the quantity demanded, qs is the quantity supplied and p is the price. Determine the equilibrium quantity before the tax

Answers

Answer:

Equilibrium quantity before the tax  = 40 units

Step-by-step explanation:

Given:

Qd = 240 - 5P

Qs = P

Computation:

Qd = 240 - 5P

P = 48 + Qd/5

Equilibrium quantity before the tax

Qd = 240 - 5P

P = 240 - 5P

6p = 240

p = 40

Qd = 240 - 5P

Qd = 240 - 5(40)

Qd = 40

Equilibrium quantity before the tax  = 40 units

1. Dei has $10 to spend on nail polish. With
tax each bottle costs $2.49. Can Dei buy 3
bottles of nail polish?

Answers

Answer:

Yes she can

Step-by-step explanation:

Answer:

yes it would be 7 dollars

Alex is x years old. Addison is y years younger. Find their combined age in 10 years’ time.

Answers

Answer:

x+10-y

Step-by-step explanation:

i'm not 100% sure about this response, but i'd assume the answer is like this for the following reasons:

alex is x years old, and 10 years have passed, meaning 10 years are added onto his age (x+10). addison is still the same amount of years apart from him in age, so you subtract y from that (x+10-y).

-11 + 9(x + 1) = 4(1 + 3x) - 3

Answers

Answer:

x = -1

Step-by-step explanation:

-11 + 9(x+1) = 4(1+3x) - 3

9x + 9 - 11 = 12x + 4 -3

9x - 2 = 12x +1

-2 = 3x + 1

-3 = 3x

x = -1

Hope this helped

Sorry if it's wrong

:)

transpose v= u + t for t

Answers

Uv al dt or trace mcsorely

I NEED HELP ASAP PLZZZ!!!!!!!!!!!!!

Answers

Answer:

First plot a point at (0,-8)' then from there go up three and right 1 then plot the point and so on.  Go down 3 and back 1 to graph the other way

Step-by-step explanation:

-8 is the y intercept so the graph goes through (0,-8) and the slope is 3 because its ax-b and the slope is a

help me pplleeaassee?!

Answers

Answer:

1.  Quadrant IV

2.  Quadrant I

3.  Quadrant II

4.  Quadrant III

Plz mark brainliest:)

Hep:/ i am kid

Convert the following binary numbers into quinary:
11012

Answers

Answer: 42121005

Step-by-step explanation: A hexadecimal number is a number expressed in the base-16 number system, which uses 16 different symbols (0 to 9, A to F). In quinary number or base-5 number system we use 5 different symbols (0 to 4)

find the domain and range of the function represented by the graph.

Answers

The answers are B and D

You want to buy some beans. An 8-ounce package costs $2.88. A 14-ounce package costs $4.76. A 20-ounce package costs $7.40. Which package is the Best Buy?​

Answers

Answer:

20 ounce package

Step-by-step explanation:

will last forever

equation not in slope intercept form. 3y=9x-24

Answers

i think this is what your asking

BRAINLIEST ANSWER! please show steps

3r+9 < = 21
< = is less than or equal to sign btw

Answers

Answer:

the answer is 4

Step-by-step explanation: r is the variable so we are trying to find a number that would equal 21 . 3x4=12+9=21 pls mark me brainiest thanks;p

-7x-8=x-8(1-5x)
Help me please

Answers

Answer:

The answer is x = 0

Step-by-step explanation:

-7x - 8 = x - 8(1-5x)

Simplify and FOIL.

-7x - 8 = x - 8 + 40x

-7x - 8 = 41x - 8

Add 7x to both sides.

-8 = 48x - 8

Add 8 to both sides.

0 = 48x

x can only be 0 to multiply it by any other number and get 0.

x = 0

PLEASE SOMEONE HELP ASAP
1. conjugate -5+√x
2. conjugate 7-√b
-Please give an explanation!!

Answers

Answer:

1. [tex]-5-\sqrt{x}[/tex]

2. [tex]7+\sqrt{b}[/tex]

Step-by-step explanation:

The conjugate of a radical expression

[tex]a+\sqrt{b}[/tex]

is the expression

[tex]a-\sqrt{b}[/tex]

And vice-versa.

The conjugate is mostly used to rationalize radical expressions because the expression by its conjugate produces another expression without the radicals.

The question asks to find the conjugate of:

1. [tex]-5+\sqrt{x}[/tex]

The conjugate is

[tex]-5-\sqrt{x}[/tex]

2. [tex]7-\sqrt{b}[/tex]

The conjugate is

[tex]7+\sqrt{b}[/tex]

The occupancy rate of a motel is the percentage of rooms that are occupied on a particular night. The
histogram below summarizes the occupancy rates for a random sample of 100 nights for a motel.
0.35
0.30
0.25-
0.20-
0.15-
0.10-
0.05
0+
0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95
Motel Occupancy Rate
Based on the histogram, which of the following values could represent Q3?
Relative Frequency
(A) 0.24
(B) 0.63
(C) 0.67
(D) 0.71
(E) 0.75

Answers

For the given table, the third quartile is given by:

(D) 0.71.

What are the median and the quartiles of a data-set?

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set, which is the 25th percentile.The third quartile is the median of the second half of the data-set, which is the 75th percentile.

Given a cumulative frequency table, the third quartile Q3 is the value when the sum of the frequencies is of 0.75.

From the frequency table, we have that:

A rate of 0.65 is the 30th percentile.A rate of 0.7 is the 57th percentile, as 0.3 + 0.27 = 0.57.A rate of 0.75 is the 80th percentile, as 0.57 + 0.23 = 0.8.

Hence the 75th percentile is between 0.7 and 0.75, meaning that option D is correct.

More can be learned about the quartiles of a distribution at https://brainly.com/question/28168026

#SPJ1

143.596 rounded to the nearest hundredth

Answers

Answer:

143.6

Step-by-step explanation: its 143.6 because 9 rounded to the nearest number is 10 and that bumped the 5 to a six

3. Eve wants to purchase a game console that costs $165. So far, she has saved $52 and plans to
save an additional $30 per week.

Answers

Answer:

If the question is how many weeks will it take to get the remaining 113.

Step-by-step explanation:

Then the answer is almost 4 weeks. 3 and 2/3 weeks.

R(0, 9) and S(4, 5) are the endpoints of a line segment. What is the midpoint M of that line segment?

Write the coordinates as decimals or integers.

M = (
,
)

Answers

M = ( 2, 7)

Step-by-step explanation:

formula to find mindpoint is

[tex](\frac{x2 + x1}{2} \frac{y2 + y1}{2} )[/tex]

(0,9) = (x1, y1)

(4,5) = (x2,y2)

now substitute those into the formula!

[tex](\frac{4 + 0 }{2} \frac{5 + 9}{2} )[/tex]

now solve for x & y !!

[tex]x = \frac{4 + 0}{2} = \frac{4}{2 } = 2[/tex]

[tex]y = \frac{5 + 9}{2} = \frac{14}{2} = 7[/tex]

so now that we have solved for x & y put it in point form and your done !!

point for is (x,y)

and thanks why the Midpoint is (2,7)


Matthew enjoys running and often runs at a steady pace to burn calories.
At this pace he can run 1,500 feet in 30 minutes.
*What is Matthew's unit rate?
*How far would Matthew run in 7 minutes?

Answers

Answer:

28

Step-by-step explanation:

Complete the division problem by determining the number that should be placed in the box.

Division bracket with 14 on the left, 7658 inside, and 547 above it. Underneath the 7658, there is a minus 7000. Then there is a solid line with 658 under the line. There is a minus sign and an empty box followed by a solid line. Beneath the line, there is a 98 minus 98 underneath. There is a solid line and a 0 to end the problem.

Answers

Answer: 560

Step-by-step explanation:

547      

14 | 7658

   -7000

________

      658

    - 560

___________

         98

       - 98

__________

           0

hope that helps i hope it correct and helps :D

A bag contains three blue marbles, five red marbles, and four green marbles.

Part A: What is the probability of selecting a red marble?

Part B: What is the probability of selecting three red marbles without replacement?

Part C: In a short paragraph, explain in your own words your work to Step B

Answers

Answer:

Below.

Step-by-step explanation:

The total number of marbles is 12.

Part A.

Prob(Red marble) = 5/12.

Part B.

Prob(pick 3 red marbles without replacement) = 5/12 * 4/11 * 3/10 = 1/22.

Part C.

The probability of the first being red is 5/12 because there are 5 red out of a total of 12 marbles. After that there are only 4 marbles and the total is 11 ( 1 marble less). Finally on the 3rd pick there are 3 red and a total of 10. WE then multiply these 3 probabilities.

A ball falls from a window. Its height, as a function of time, is modeled by
y=-4.9x^2 + 12
Which statement best describes the function?

A. The function is nonlinear
B. The function is linear at some points and nonlinear at other points.
C. Not enough information is given to decide,
D. The function is linear

Answers

Answer: A

Step-by-step explanation:

PLEASE HELP!!!! I WILL MARK BRAINLYEST!!!!
The fractions -42/-45 and 14/15 are equivalent fractions.


True or False

Answers

True they are equivalent fractions both are divided by -3 to get 14/15
True they are both divisible by a number
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