Four tour buses depart the terminal on the same day. The itinerary of the first bus takes 6 days, for the second bus it takes 8 days, for the third bus it takes 10 days, and the fourth bus takes 15 days. Assuming that another tour begins the same day that the bus returns to the terminal, how many days will it take until all four buses return to the terminal on the same day?

Answers

Answer 1

Using the least common factor, it is found that it will take 120 days until all four buses return to the terminal on the same day.

Considering their itineraries, the number of days it will take until all four buses return to the terminal on the same day is the lcm of 6, 8, 10 and 15.

To find their least common factor, we factor each number by prime numbers, hence:

6 - 8 - 10 - 15|2

3 - 4 - 5 - 15|2

3 - 2 - 5 - 15|2

3 - 1 - 5 - 15|3

1 - 1 - 5 - 5|5

1 - 1 - 1 - 1

Hence, lcm(6, 8, 10, 15) = 2³ x 3 x 5 = 8 x 15 = 120.

It will take 120 days until all four buses return to the terminal on the same day.

To learn more about the least common factor, you can take a look at https://brainly.com/question/24873870


Related Questions

9x2+8x(5x-4) simplify

Answers

Answer:

40x --14

Step-by-step explanation:

Multiply 9 and 2 to get 18

Use distribute property

Multiply 8 by 5x -15

Subtract 32 from 18 = -14

Find m

K
M
L
∠KML.

Answers

Answer:

m∠KML = 35°

Step-by-step explanation:

This is an isosceles triangle because 2 of the sides are equal so we know the 2 unknown angles are equal. The 3 angles of any triangle always add up to 180° so since we know 1 angle is 110° then the 2 unknown angles must add up to 70° (because 180° minus the known 110° leaves us with 70°). Since we know the 2 unknown sides are equal 70° ÷ 2 = 35°. So, m∠KML = 35°

6x + ____ = 10 Please find the blank.

Answers

Answer:

6x +4=10

I think this is answer

2. How many different hands of 3 cards hands be chosen from a deck of 52 cards?

Answers

Answer:

There are 132,600 ways are there.

Explained:

We note that there 52 ways to choose the first card, 51 ways to choose the second card, and 50 ways to choose the third card, for a total of 52*51*50=132,600 ways

3. A rectangular deck has an area of 24 square yards. The length of the deck is shown in the figure. What is the width of the deck in yards? Enter your answer in the box.

Answers

Answer:

can you please send the picture as well because for this

(The length of the deck is shown in the figure.=??)

figure is needed ..

Tell me the figure but rectangular deck has area 24 use rectangle formula b(h)= area or lwh=area
But we already know the Area
lwh=24
But I don't see the length of the deck that shown in the figure

Sorry you don't have enough information

Ernesto bought a 20-pound bag of dog food for his Great Dane, Tank. After 7 days, all the dog food was gone.
How much dog food did Tank eat each day?

Answers

Answer:

About 2.9 pounds per day.

Step-by-step explanation:

20÷7=2.85714...

rounded- 2.9

So Tank, the Great Dane, ate about 2.9 pounds per day.

Answer:

Step-by-step explanation:

2 6/7

The slope of a line passing through (3,y) and (6,-7) is -4. Solve for y.

Answers

Answer:

6 (i think :/)

Step-by-step explanation:

PLEASE HELP!!!!! I WILL REWARD

Answers

Answer:

the fourth bubble or  d

Step-by-step explanation:

x has to equal to or less than 6

ANSWER:....x ≤ 6......

What is the inverse operation of subtract 6?
O A. multiply by 6
O B. add 6
O C. subtract 6
O D. divide by 6

Answers

Inverse operation means the opposite and the opposite of subtract is add so your answer would be B. Add 6
the answer would be b

WILL GIVE BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

The answer is -2 so it’s the second one :)

The tree in Manuel’s backyard is 6.8 m high. How high is it in centimeters?

Answers

That is 680 centimeters

Approximately what portion of the beaker is filled?
A.3/4
B. 1/2
C. 5/9

Answers

i would say the answer is 3/4 :)

Answer:

The answer which I think is 3_4

During a Lynx basketball game, the ratio of baskets made to baskets attempted was 2 to 3. The Lynx made 88 baskets. How many baskets did they attempt?

Answers

He attempt 100 basket

What is the length of XY?

Answers

Answer:

  XY = 11.25

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

  XY/5 = 18/8

  XY = 5(9/4) = 45/4

  XY = 11.25

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )

Answers

A' = (-3,3)
B' = (3,3)
C' = (-3,0)


What is the equation for the parabola with a focus F(13/11,0)?

Answers

Answer:

B.ON THE EDGE

Step-by-step explanation:

At a video arcade, the action video games this week cost $25, which is 125% of last week's price. What was its price last week?

A. $20

B. $15

C. $40

D. $25

Answers

Answer:

A

Step-by-step explanation:

125% of 25 is the same as 5/4 of 25.

Divide by 5 and you get 5. 1/4 is 5, so 100% or 4/4 is 20

Answer:

it's a

Step-by-step explanation:

trust

Allison sells cosmetics door-to-door. She is paid a monthly commission which is 10% of her first $900 in sales and 15% of the rest of her sales. Last month she sold $8,000 worth of cosmetics. How
much commission did she earn last month?

Answers

Answer:

$1155

Step-by-step explanation:

10% of the first $900 is $90.

The rest of her sales is 8000 - 900 = 7100. 7100 * .15 = 1065.

Add them together to get $1155.

what word phrase can you use to represent the algebraic expression 6x+6

Answers

Answer:

the word phrase use to represent 6x+ 6 is sum 6x and 6

Step-by-step explanation:

first you sum 6x and 6

A water tank is filled at a constant rate. After 36 minutes, there are 648 gallons of water in the tank. How many gallons of water flowed into the tank each minute? Use the model.

Answers

Answer:

I'm not sure about this, sorry!

Step-by-step explanation:

[tex]648 \div 36 = 18[/tex]

18 gallons of water flowed into the tank each minute.

Answer: the answer is 18 gallons

Step-by-step explanation: all you have to do is divide 648 by 36 and you should recieve an answer of 18

is (33,10), (35,8), and (36,10) a function

Answers

Answer: yes it’s a function because the x values aren’t repeating

Solve and check answer 3(4-5x)=3(4x+3)

Answers

Hey there!

3(4 - 5x) = 3(4x + 3)

3(4) + 3(-5x) = 3(4x) + 3(3)

12 - 15x = 12x + 9

-15x + 12 = 12x + 9

SUBTRACT 12x to BOTH SIDES

-15x + 12 - 12x = 12x + 9 - 12

SIMPLIFY IT!

-27x + 12 = 9

SUBTRACT 12 to BOTH SIDES

-27x + 12 - 12 = 9 - 12

CANCEL out: 12 - 12 because it gives you 0

KEEP: 9 - 12 because it helps solve for the x-value

NEW EQUATION: -27x = 9 - 12

SIMPLIFY IT!

-27x = -3

DIVIDE -27 to BOTH SIDES

-27x/-27 = -3/-27

CANCEL -27/-27 because that gives you 1

KEEP: -3/-27 because it helps solve for the x -value

NEW EQUATION: x = -3/-27

SIMPLIFY IT/REDUCE the FRACTION!

x = 1/9

Therefore, your answer is: x = 1/9

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Help me pleaseeeee?????

Answers

Answer:

The data covers 58 to 86 = 28 for the total distance

Each quartile will occupy a difference of 28/4 = 7

58 - 65 = first quartile (or lower quartile)

65 - 72 = second quartile

72 - 79 = third quartile

79 - 86 = fourth quartile (or upper quartile)

Notice that the first quartile ends at 65 and the second quartile starts at 65

If you divide a straight line accordingly there must not be an empty space between the first and second quartile to be all inclusive

The median is the middle point or 58 + 14 = 72

14 points lie in the range of 58 to 72 and

14 points lie in the range of 72 to 86

correct?`````````````````````````````

Answers

Answer:

Yes

Step-by-step explanation:

yesssssassasaaasa!!!

help plssssssssssssssssss

Answers

Answer:

Diagonal and horizontal lines

Step-by-step explanation:

To answer this question it is first important to know what a function is. A function is a relationship that has a singular y value for each x-value. This means that x-values will never repeat.

Linear functions are functions that increase in a constant way. Meaning that the slope of the line is constant and there is a common difference between the points. Because the change is constant, there is no change in direction. Thus, the function will be one straight line.

This line can obviously be diagonal because a diagonal line has unique x and y values. However, the line can also be horizontal. Horizontal lines many have repeating y-values but because the x-values don't repeat it is still a function. This reason is also why vertical lines are the only straight line to not be a liner function. In vertical lines, the x-values repeat. So, it does not work as a function.

if the telephone was invented in 1876 how old was it in 1991 how long had it been around

Answers

Answer:

115 Years Old

Step-by-step explanation:

1991-1876 = 115

1991 - 1876 = 115 Years Old.

Your family has a total of 60 t-shirts and you decide to give some away. If 4 of the t-shirts are being worn right now, and there are 25 t-shirts left in the family's closets, how many t-shirts did your family give away?

Answers

You gave away 35 shirts. 60-25=35.

31

If you had 60 t-shirts and wore 4 and had 25 you do 25+4=29 then you do 60-29 that =31 so you will have sold 31 t-shirts

What is the measure of angle DCE? Use numbers only.

Answers

Answer:

156 degrees

Step-by-step explanation

First we need to figure out what X is. To do that we set up the equation 7x+3=8x because vertical angles are congruent. After solving that we get x=3. We plug 3 back into each equation and we get that angle ACE equals 24. Since angle ACE and angle DCE are supplementary we know that they will equal 180 so we subtract 24 from 180 and get 156 as the final answer.

Hope this helps!

Divide £121 in the ratio 2:9.

Answers

is this one of your answer choice?

please help me with the question please ☹️

Answers

Answer:

the last one

Step-by-step explanation:

because those are oppiste poles

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