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Inessa05 [86]
2 years ago
14

At union station, you notice that three subway lines just arrived at the same time. How long must you wait until all three lines

arrive at Union Station at the same time again?

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
8 0

Answer:

You must wait 60 minutes for all three lines to arrive at Union Station at the same time again.

Step-by-step explanation:

The complete question in the attached figure

Step 1

Find the least common multiple (LCM) of the three numbers

List the prime factors of each number

10=(2)(5)\\12=(2^2)(3)\\15=(3)(5)

Multiply each factor the greatest number of times it occurs in any of the numbers to find out the LCM

The LCM is equal to

(2^2)(3)(5)=60

therefore

You must wait 60 minutes for all three lines to arrive at Union Station at the same time again.

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the points A (1, 5), B (5, 5) and C (5, 1) are 3 corners of a square ABCD. what are the coordinates of D, the 4th corner
bogdanovich [222]

Answer:

(1,1)

This is the answer

3 0
2 years ago
When equation represents the function f(x)=(1.6)x after it has been translated 5 units up 9 units to the right?
wel
For this question my answer would be

g(x)=(1.6)x-9+5

Hope this Helps
5 0
2 years ago
Read 2 more answers
Suppose that a new company has five employees: Zamora, Agraharam, Smith, Chou, and Macintyre. Each employee will assume one of s
Sliva [168]

Answer:

Step-by-step explanation:

Before constructing bipartite graph, we need to have the responsibilities of each person sorted out first. I listed it in dash form for easy reading

Zamora

- planning,

- sales, marketing

- industry relations

Agraharam:

- planning

- development

Smith

- publicity,

- sales,

- industry relations

Chou

- planning,

- sales,

- industry relations

Macintyre

- planning,

- publicity,

- sales,

- industry relations

After we are done with that, we can start constructing the bipartite graph by making two column or two rows of group, one is for the person and the other is for responsibilities.

Later, we start match up each person to the responsibilities that assigned to them.

I attached the bipartite graph for this question as well.

3 0
2 years ago
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Ishmael bought a brand new bag of green, yellow, and red marbles. There are 40 marbles in the bag. 1/4 of the marbles are yellow
VikaD [51]

Answer:

there are 10 red marbles, 10 yellow marbles and 10 green marbles.

Step-by-step explanation:

think 1/4. the 4 is the same as 40 so if there is 1 that would be 10. so the rest of the colors are all 10 marbles:)

3 0
2 years ago
Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.
ExtremeBDS [4]

Answer:

Following are the true statements

2. The factors common to 20a and 15ab are 1, 5, and a.

3. The factors common to 20a and 24b are 1, 2, and 4.

5. The GCF of the expression is 1

Step-by-step explanation:

Expression is  20a + 15ab + 24b

Now lets have a look at each of the options provided!

1. The factors common to 20a and 15ab are 1, 5, a, and b.

False

As you can see there is no b in 20a term only 1,5,a are common hence it is false.

2. The factors common to 20a and 15ab are 1, 5, and a.

True

The terms 20a and 15ab are divisible by 1,5,a hence it is true.

3. The factors common to 20a and 24b are 1, 2, and 4.

True

The terms 20a and 24b are divisible by 1,2,4 hence it is true

4. The GCF of the expression is ab.

False

20a + 15ab + 24b

As you can see ab is not common in all of the terms hence it cannot be greatest common factor

5. The GCF of the expression is 1

True

Factor of 20 are: 2,2,5,1

Factor of 15 are: 3,5,1

Factor of 24 are: 2,2,2,3,1

As you can see the only common factor among all the terms is 1 hence GCF is 1.

5 0
2 years ago
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