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VARVARA [1.3K]
2 years ago
8

The student to faculty ratio at a small college is 17:3 the total number of students and faculty is 740. How many faculty member

s are there at the college?
Mathematics
1 answer:
larisa86 [58]2 years ago
3 0

Answer:

111

Step-by-step explanation:

It is given that the student to faculty ratio at a small college is 17:3.

Let number of students and faculty members are 17x and 3x respectively.

It is given that total number of students and faculty is 740.

17x+3x=740

20x=740

Divide both sides by 20.

x=37

Number of student =17\times 37=629

Number of faculty members =3\times 37=111

Therefore, there are 111 faculty members at the college.

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Answer:

100

Step-by-step explanation:

The function takes in an X value and produces a Y value.

The Y value equals 24 times the X value plus 4 more.

This means that:

Y = 24X + 4

When the X value equals 4, the Y value will be:

Y = 24(4) + 4

Y = 96 + 4

Y = 100

When the X value is 4, the Y value is 100.

7 1
2 years ago
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Lesson 1-1: The periodic comet named Johnson has been seen at every return since its discovery in 1949, as shown in the table be
stiks02 [169]

Answer:

Step-by-step explanation:

Occurrence                 Year seen          Difference

1                                      1949                       -  

2                                     1956               1956 - 1949 = 7

3                                     1963               1963 - 1956 = 7

4                                     1970                1970 - 1963 = 7

Difference between each successive term of year seen = 7 years

Therefore, there is a common difference of 7 years between each successive term.

Function defining the year seen will be a linear function and will increase in the same pattern. (multiple of 7 years)

2017 - 1970 = 47 (It's not the multiple of 7)

2018 - 1970 = 48 (It's not the multiple of 7)

2019 - 1970 = 49 (multiple of 7)

2020 - 1970 = 50 (It's not the multiple of 7)

Therefore, comet will be seen next in 2019.

Option (C) will be the answer.

If a person is born in 2005

Then difference between 2005 and 1949 = 56 years

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2 years ago
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madreJ [45]
So we are given a system:
3x-2y+3z=0\\
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Substitute x = 2 we get the system:
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Multiply the first equation by -5 and the second by 2 we get the system:
10y-15z=30\\
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Adding the two equations we get :
-25z=0\text{ then}z=0.
We find the value of y by using any of the other equations like this:
-2y=-6\\y=3.
Final solution:
z=0,y=3
8 0
2 years ago
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Answer:

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Answer:

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Stepford has the highest standard deviation; this means it is the most variable, or least consistent.

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