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Nuetrik [128]
4 years ago
6

In collage there are 14 times as many students as professors. if together the students and professors number 37,500 how many stu

dents are there in the college?
Mathematics
1 answer:
Eduardwww [97]4 years ago
8 0
X = No. of professors

x + 14x = 37,500
(No. of professors + 14 times the no. of professors = total)

Add.

15x = 37,500

Isolate x by eliminating 15.

15x/15 = 37,500/15

x = 2,500

There are 2,500 professors in the college.
37,500 - 2,500

(Total - no. of professors = no. of students)

= 35,000

There are 35,000 students in the college.

♧
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-1/8(x-4)=-4<br> how do i show my work
UkoKoshka [18]

Answer: the answer is x=36

Step-by-step explanation:

Simplify  \frac{1}{8}(x-4)

8

1

​

(x−4)  to  \frac{x-4}{8}

8

x−4

​

.

-\frac{x-4}{8}=-4

−

8

x−4

​

=−4

2 Multiply both sides by 88.

-x+4=-4\times 8

−x+4=−4×8

3 Simplify  4\times 84×8  to  3232.

-x+4=-32

−x+4=−32

4 Regroup terms.

4-x=-32

4−x=−32

5 Subtract 44 from both sides.

-x=-32-4

−x=−32−4

6 Simplify  -32-4−32−4  to  -36−36.

-x=-36

−x=−36

7 Multiply both sides by -1−1.

x=36

x=36

6 0
3 years ago
A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally. How long will each k
Harman [31]

Answer:

Each knight will guard <u>288 minutes</u> in one day.

Step-by-step explanation:

Given:

A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally.

Now, to find the minutes will each night spend on guard duty in one day.

As, in 1 hour there are 60 minutes.

Thus, in 24 hour there are 60 × 24 = 1440 minutes.

Total minutes for guarding = 1440 minutes.

So, there are knights ordered for guarding are = 5.

And each day's guard duty equally.

Now, to get the minutes will each night spend on guard duty in one day we divide the total minutes for guarding by number of knights that is 5:

1440\div5

=288\ minutes.

Therefore, each knight will guard 288 minutes in one day.

4 0
3 years ago
GETS BRAINLIEST AND 11 PTS!
cricket20 [7]
Add the total of both groups and divide by the total number in each group

 Group X = 535 / 18 = 29.72 mean

group Y = 500 / 18 = 27.78 mean

Group X has the higher mean


6 0
4 years ago
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Please help (50) points
Artemon [7]
The answer is b. y = -5x +11
8 0
3 years ago
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Help me pls! :( I’ll mark you brainlist <br> No links <br> Links= report
Alex73 [517]

<em>Answer:</em>

x = 2

y = 2

z = 2

<em>Step-by-step explanation:</em>

2 is the only info we are given for this problem. All of the sides look equal So I would put 2 for all of the options.

6 0
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