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
I will give brainiest if correct
Natalka [10]
Its C. Add 3 and 15 which gives you 18. Then move the variable (4x) to the left. Then combine like terms which are the x’s and you should get 3x. Then divide both sides by 3. (18/3 = 6)
5 0
2 years ago
Find the length of side X.
UkoKoshka [18]

Answer:

Step-by-step explanation:

1:\sqrt{3} = x : 4\sqrt{3}

7 0
3 years ago
-3 raised to the power 0=
son4ous [18]

Given:

The statement is "-3 raised to the power 0".

To find:

The value of the given expression.

Solution:

We know that a raised to the power b can be written as a^b.

Any non zero number raised to the power 0 is always 1. It means,

a^0=1, where a\neq 0.

-3 raised to the power 0 =(-3)^0

                                         =1

Therefore, the value of the given statement is 1.

3 0
2 years ago
The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
leva [86]

Let's set the measure of each angle equal to 540 degrees.

4x + 4x + 5x + 2 + 96 + 5x - 8 = 540

Combine like terms.

18x + 90 = 540

Subtract 90 from both sides.

18x = 450

Divide both sides by 18

x = 25

8 0
3 years ago
Which statement illustrates the distributive property? A.3 (4 + 5) = 3 (4) + 5 B. 3 (4 + 5) = 3 (4) + 3 (5) C.3 [(4) (5)] = 3 (4
patriot [66]

Answer:

B. 3(4+5) = 3(4) + 3(5)

Step-by-step explanation:

with distributive property, you multiply the number outside the parentheses to all of the numbers inside.

8 0
3 years ago
Other questions:
  • I need help with this anyone please help it would mean a lot : )
    15·1 answer
  • Help on precal, what are the answers?
    6·1 answer
  • The back frame of a dog house is in the shape of a triangle with an area of 6 square feet. The height of the frame is 4 feet. Wh
    14·1 answer
  • Crystal's mud mask costs $23 for a 0.45 oz jar. She found the same mud mask online for $72. What is the size of the jar Crystal
    15·1 answer
  • If sinx=5/13 and x is in quadrant 1, then sin x/2=
    6·2 answers
  • The party planner has 126 flowers and 14 vases for arrangements. How many flowers per arrangement will there be? 9 14 140 1764
    7·2 answers
  • © Gavin, Colin and Dan share some sweets in the ratio 4:5:3. Gavin gets 20 sweets. How
    14·1 answer
  • Please help me asap​
    14·2 answers
  • A shipping box has the dimensions shown what is the volume of the box in cubic yards? 1-4 yard 1-4 yard 1-2 yard
    6·1 answer
  • Can you please solve ax+z=w-y for a please???​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!