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
muminat
3 years ago
7

A school district has two high schools. The district could only afford to hire 13 guidance counselors. Determine how many counse

lors should be assigned to each school using Hamilton's method. School Students Enrolled Counselors to Assign Lowell 3584 Fairview 6816 The next year, a new school is opened, with 1824 students. Using the divisor from above, determine how many additional counselors should be hired for the new school: counselors.
Mathematics
1 answer:
Umnica [9.8K]3 years ago
6 0

Answer:

a)

Lowell: 4 counselors

Fairview: 9 counselors

b)

2 new counselors

Step-by-step explanation:

How many counselors should be assigned to each school using Hamilton's method?

Number of students

Lowell: 3584  

Fairview: 6816

Total number of students: 10400

Divisor D = (Total number of students)/(number of counselors)= 10400/13 = 800

<u>Temporal assignment</u>

3584/800 = 4 + 0.48 ==> 4 counselors for Lowell

6816/800 = 8 + 0.52 ==> 8 counselors for Fairview

There is one counselor left. According to Hamilton's method she should be assigned to the school with the largest remainder, that is Fairview.

<u>Final assignment</u>

Lowell: 4 counselors

Fairview: 9 counselors

The next year, a new school is opened, with 1824 students. Using the divisor from above, determine how many additional counselors should be hired for the new school

1824/800 = 2 + 0.28

<em>Two new counselors should be hired.</em>

You might be interested in
Find the definite integral from 0 to 1/16 of arcsin(8x)/sqrt(1-64x^2)dx
kolezko [41]
\displaystyle\int_0^{1/16}\frac{\arcsin8x}{\sqrt{1-64x^2}}\,\mathrm dx

First let y=8x, so that \mathrm dx=\dfrac{\mathrm dy}8 to write the integral as

\displaystyle\frac18\int_0^{1/2}\frac{\arcsin y}{\sqrt{1-y^2}}\,\mathrm dy

Now recall that (\arcsin y)'=\dfrac1{\sqrt{1-y^2}}, so substituting z=\arcsin y should do the trick. The integral then becomes

\displaystyle\frac18\int_0^{\pi/6}z\,\mathrm dz=\frac1{16}z^2\bigg|_{z=0}^{z=\pi/6}=\frac{\pi^2}{576}
8 0
3 years ago
Which system matches the graph below?
ioda

Answer:

(a)

Step-by-step explanation:

y= -4^{x} and y = 2x - 3

6 0
3 years ago
Simplify the radical expression sqrt 7+3 sqrt 7
Alika [10]
4\sqrt{7}

This is because there is an imaginary 1 in front of the first sqrt. 
6 0
3 years ago
Read 2 more answers
When y increases x increases
aniked [119]

Answer:

It happens only when they are inversely proportional to eachother.

X = 1/y

6 0
3 years ago
Convert 5 over 8 to a decimal and tell whether it terminates or repeats.
AURORKA [14]

Answer: The answer is D. .625

Step-by-step explanation: It terminates, meaning that it doesn't repeat itself

7 0
3 years ago
Other questions:
  • A restaurant used 3 pounds of potatoes during a lunch rush. If they used 3/8 as much beef, how many pounds of beef did they use?
    14·2 answers
  • Simplify the radical expression below 2/9.
    15·1 answer
  • Select all the fractions that are equivalent to -2/3 .
    12·1 answer
  • Draw a diagram similar to the one above to represent 1/2 - 3/8
    6·1 answer
  • a cinder block is sitting on a platform 20 high. lt weighs 79n. The block has_____ energy. calculate it.
    8·1 answer
  • What does 15/5 equal
    8·2 answers
  • Solve for x<br><br> 9x + 3 = 21
    15·2 answers
  • 4.2 + 3.5 + 0.5 + 4.0​
    14·2 answers
  • This is a re-write I forgot to add the picture. Math Review. Help need ASAP please!!
    6·1 answer
  • Which of the following is true about the expression v3 • V12?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!