1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ohaa [14]
3 years ago
7

A large community college has professors and lecturers. The total number of faculty is 228. The school reported that they have 5

professors for every 14 lecturers. how many of each type of each employee does the community college employ? ​
Mathematics
1 answer:
Ivan3 years ago
7 0

The large community college has 76 professors and 212 lecturers

<u>Solution:</u>

Given that,

Total number of faculty = 228

Let, the number of professors be p, then the number of lecturers will be 228 – p

They have 5 professors for every 14 lecturers.

Then, ratio of professors to lecturers is 5 : 14

Expressing the ratio as fractions, we get,

\rightarrow \frac{\text {number of professors}}{\text {number of lecturers}}=\frac{5}{14}

Plug in the values of number of professors and lecturers

\rightarrow \frac{p}{288-p}=\frac{5}{14}

\begin{array}{l}{\rightarrow 14 \times p=(288-p) \times 5} \\\\ {\rightarrow 14 p=1440-5 p} \\\\ {\rightarrow 14 p+5 p=1440} \\\\ {\rightarrow 19 p=1440} \\\\ {\rightarrow p=75.789 \approx 76}\end{array}

So, community has 76 professors, then, it will have 288 – 76 = 212 lecturers.

You might be interested in
In the reaction 2K + Cl2 → 2KCI, the species
jonny [76]

Answer:B

Step-by-step explanation:

7 0
3 years ago
What 5 numbers that round down to 600
8090 [49]
*It depends what place value needs to be rounded down, but without any specific place values, here are my answers*

<em>600.1</em>

<em>601</em>

<em>600.44</em>

<em>602.1</em>

<em>644.4</em>
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

-Hope this helps :)


6 0
3 years ago
HELP I NEED HELP ASAP
AfilCa [17]
Answer :
x = -1 and y = -4

Solution :

4 0
3 years ago
Read 2 more answers
There are 55 apples in each row. There are 5000 rows. How many apples in all?
koban [17]

Answer:

you would take the amount of apples per row and multiply it by the amount of rows, so in this case it would be 55x5000 which is 275000

there's 275000 apples in all

8 0
3 years ago
Aimee and Ben are purchasing a condominium and are financing $415,500. The mortgage is a 20-year 3/1 ARM at 2.75% with a cap str
Sonbull [250]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

 <span>Bart and April are purchasing a house with a 15-year, 2/1 ARM for $315,000 at 5.85% with a 2/8 cap structure. What will the difference in payments be from year 2 to year 3? 

$333.68 </span>
4 0
3 years ago
Other questions:
  • A boat can travel 66 miles on 11 gallons of gasoline how far can it travel on 41 gallons?
    9·1 answer
  • A closed rectangular box has volume 48cm3. What are the lengths of the edges giving the minimum surface area?
    11·1 answer
  • How to prove its congruent
    11·1 answer
  • Please help me this due soon
    11·1 answer
  • Liability insurance pays for losses not related to traffic accidents. True or False
    11·1 answer
  • There are 25 desks in a classroom. The number of rows is five less than twice the number of desks in each row. Find the number o
    13·1 answer
  • If a truck averages 12 miles to the gallon, how many pounds of carbon dioxide are emitted into the atmosphere when the truck tra
    6·1 answer
  • Which distances is least to greatest 1/8, 3/16 and 3/4 or 3/4, 1/8 and 3/16
    10·2 answers
  • L Pretest Unit 2
    8·1 answer
  • If f(x) = 2x squared - 5x + 7 what is the value of f(-3)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!