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
RideAnS [48]
3 years ago
15

Half of the students in an International School are Americans. One third of the remaining students are Europeans, and the rest a

re Australians. If there are 150 Australians, how many students are in the school?
Mathematics
2 answers:
Darya [45]3 years ago
6 0

Answer:

There are 450 students.

Step-by-step explanation:

Let's call

s = total number of students

am = American students

eu = European students

au = Australian students

<em>Half of the students in an International School are Americans.</em> Then,

1/2 s = am [1]

<em>One third of the remaining students are Europeans.</em>

The remaining students are s - 1/2 s = 1/2 s

1/3 × (1/2 s) = 1/6 s = eu  [2]

<em>There are 150 Australians.</em>

au = 150 [3]

The total number of students is the sum of Americans, Europeans and Australians.

am + eu + au = s

Replacing [1], [2] and [3].

1/2 s + 1/6 s + 150 = s

2/3 s + 150 = s

1/3 s = 150

s = 450

Kazeer [188]3 years ago
3 0

Answer:

450 students

Step-by-step explanation:

Let s = number of students

1/2 are Americans  1/2s are Americans

s -1/2s = number of students left

1/2 s = number of students left

1/3 of the students left are Europeans

1/3 (1/2s) = 1/6s  are Europeans

The rest are Australians = 150

Students = Americans + Europeans + Australians

   s          =   1/2s          +    1/6s    + 150

Combine like terms

s    = 1/2*3/3 *s + 1/6s +150

s = 3/6s + 1/6s +150

s = 4/6s + 150

Subtract 4/6s from each side

s -4/6s = 150

6/6s - 4/6s = 150

2/6s = 150

1/3s = 150

Multiply each side by 3

3* 1/3s = 150*3

s = 450

There are 450 students

You might be interested in
Could someone help please
pogonyaev

Answer:

3.5 m/s

Step-by-step explanation

Remove brackets

d = t^2 + 0.2t + 3.3t + .66              

Combine

d = t^2 + 3.5t + .66

The initial velocity  is 3.5

3 0
3 years ago
Nestor the clown does the face painting at the city carnival. She paints seven faces every 21 minutes and spend the same amount
Likurg_2 [28]

Answer:

21/F=M

Step-by-step explanation:

3 minutes per face so divide time and faces to get the time.

F=7  M=3

4 0
3 years ago
Graph f (x) = -.25x + 4
Charra [1.4K]

Answer:

what is the question.

I am not understand.

please thanks and follow me.

8 0
2 years ago
A rectangular gasoline tank can hold 45.0 kg of gasoline when full. what is the depth of the tank if it is 0.450 m wide by 0.900
garri49 [273]
The answer is 0.154 m

Step 1. Calculate the volume of gasoline tank (V) using the known mass (m) and density of gasoline (D).
D = m/V
⇒   V = m/D
D = 719.7 kg/m³
m = 45.0 kg
V = 45.0 kg/719.7 kg/m³ = 0.0625 m³

Step 2. Calculate the depth of the tank (d) using the known volume (V) of gasoline and width (w) and length (l) of the tank:
V = d * w * l
0.0625 = d * 0.900 * 0.450
0.0625 = d * 0.405
d = 0.0625  / 0.405
d = 0.154 m
7 0
3 years ago
Angle A and B are supplementary. Angle a has a measure of 80. What is the measure of angle B? The measure of angle B is
ololo11 [35]
Well when two angles are supplementary they equal 180.
So if angle A is 80 degrees then that would mean that angle B equals 100 degrees. 


Hope This Helped :) 



4 0
3 years ago
Other questions:
  • Find the solution for (7+6)+2=7+(x+2)
    14·2 answers
  • Is 99 divisible by 6
    13·2 answers
  • Does the point (2, 3) lie on the graph of y = 3x - 4? Explain.
    5·1 answer
  • KNOWLEDGE CHECK!!!ALEKKSSSS
    9·1 answer
  • Combining !<br>12x + 5x +4-16​
    5·2 answers
  • Amaya used these steps to solve the equation 8x+4 = 9+4(2x-1). Which choice describes the meaning of her result, 4 = 5?
    6·1 answer
  • Find the standard deviation for a data set that has a variance of 82.81.
    5·1 answer
  • Given the following points, write the equation of the line that goes through them. ( -12,56), (0,8), and (8,-24).
    14·1 answer
  • At Luby's, an adult's meal is $7.50 and a kid's meal
    15·1 answer
  • The bill for Mr. Wilson’s diner meal is $25.50. As a tip, Mr. Wilson gives the server 20% of the meal’s cost. What is the total
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!