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
Ostrovityanka [42]
3 years ago
8

The junior and senior students at Mathville High School are going to present an exciting musical entitled, "Math, What is it Goo

d For?". A large group of students came out to an information meeting. After a brief introduction to the musical, 15 senior students decided that it was not for them and they left. At that point, twice as many junior students as senior students remained. Later in the meeting, after the 15 senior students had left, of the junior students and of the remaining senior students also left. This left 8 more senior students than junior students. All of the remaining students stuck it out and went on to produce an amazing product. How many students remained to perform in the school musical, "Math, What is it Good For?"

Mathematics
1 answer:
xeze [42]3 years ago
5 0

Some parts are missing in the queston. Find attached the picture with the complete question

Answer:

                   \large\boxed{\large\boxed{161}}

Explanation:

Let's put the information in a table step-by step.

                                                (number of remaining students)

                                                        Juniors          Seniors

Condition

  • Initially                                           J                     S
  • 15 seniors left                                                   S - 15
  • Twice juniors as seniors         2(S - 15)
  • 3/4 of the juniors left              1/4×2(S - 15)
  • 1/3 of seniors left                                             2/3×(S - 15)

At the end, there were 8 more seniors than juniors:

  • 2/3×(S - 15) -  1/4×2(S - 15) = 8

Now you have obtained one equation, which you can solve to find S, the number of senior students, and then the number of junior students.

Solve the equation:

2/3\times (S - 15) -  1/4\times 2(S - 15) = 8

  • Mutilply all by 12:

8(S - 15)-6(S - 15)=96

  • Distribution property:

8S-120-6S-90=96

  • Addtion property of equalities:

8S-6S=96+120+90

  • Add like terms:

2S=306

  • Division property of equalities:

S=306/2=153

That is the number of senior students that came out to the information meeting, but the number of students remaining to perform in the school musical is (from the table above):

2/3\times (S-15)+1/4\times 2(S-15)

Just substitute S with 153 fo find the number of students that remained to perfom in the musical:

          2/3\times (153-15)+1/4\times 2(153-15)\\ \\ 2/3(138)+1/2(138)

          161

You might be interested in
What is 82.5 as a fraction in simplest form
tangare [24]
85.5 as a fraction is 85 2/10 which is simplified to 85 1/5
3 0
3 years ago
Read 2 more answers
16. Mario has $15. He spends $6.25 on admission to the ice
Alecsey [184]

Answer:

4.15

Step-by-step explanation:

Minus it all

15 minus 6.25 is 8.75

8.75 minus 2.95 equals 5.8

5.8 minus 1.65 equals 4.15

3 0
3 years ago
What is the value of X?
scZoUnD [109]

Answer:

x = 5

Step-by-step explanation:

ABC is an isosceles triangle

So

<A = <C = 73

<B = 180 - 2 * 73

<B = 180 - 146

<B =  34

Given <B = 6x +4

So

6x + 4 = 34

6x = 30

 x = 5

5 0
3 years ago
Read 2 more answers
a woman at a point a on the shore of a circular lake with radius 1.2 mi wants to arrive at the point B diametrically opposite A
kenny6666 [7]

If she arrives by boat;

The distance she needs to row = Lake diameter

Distance = Lake diameter = 2 x Radius

Boat distance = 2 x 2 miles = 4 miles

So;

When moving on foot

The distance that needs to be moved D = Half of the circle circle

∴ D = π × Radius

The distance that needs to be moved D = π × 2 miles = 2π Miles

Arc length = Radius × θ

String length = radius x 2 x sin (θ / 2)

0 ≤ θ ≤ π, 0 ≤ sin (θ / 2) ≤ 1

Learn more here shore of a circular at

brainly.com/question/16597466

#SPJ10

4 0
2 years ago
There are 412 students and 20 teachers taking buses on a trip to a museum. Each bus can seat a maximum of 48. Which inequality g
-BARSIC- [3]

The inequality \mathrm{b} \geq \frac{\text { total number of travelers }}{\text { capacity of each bus }} gives the least number of buses, b, needed for the trip. The least number of buses is 9

<u>Solution:</u>

Given that, There are 412 students and 20 teachers taking buses on a trip to a museum.  

Each bus can seat a maximum of 48.  

We have to find which inequality gives the least number of buses, b, needed for the trip?

Now, there are 412 students and 20 teachers, so in total there are 412 + 20 = 432 travelers

<em><u>The number of buses required “b” is given as:</u></em>

\text { (b) } \geq \frac{\text { total number of travelers }}{\text { capacity of each bus }}

\text { So, number of buses required } \geq \frac{432}{48}

Number of buses required ≥  9 buses.

But least number will be 9 from the above inequality.

Hence, the inequality \mathrm{b} \geq \frac{\text {total number of travelers}}{\text {capacity of each bus}} gives least count of busses and least count is 9.

6 0
3 years ago
Other questions:
  • Which ordered pair is a solution to the system of equations?
    6·1 answer
  • What is the greatest common factor of these? 27y^7x^8w^4 and 18y^3w^6
    6·1 answer
  • What is the sum of 2.5 x 10^4 and 3.4 c 10^4
    9·2 answers
  • Which of the following losses would be covered by an insurance policy with comprehensive coverage? The car radiator develops a l
    11·1 answer
  • Is there a relationship between the difference of the integers and the distance between them?
    13·1 answer
  • Solve the literal equation for y.<br><br> 2x+5y = 3y+8
    6·1 answer
  • Write a quadratic equation with the given roots write the equation in the form ax^2+bx+c=0 where a,b,and c are integers -5/4 and
    9·1 answer
  • What the answer to the question
    14·2 answers
  • What is an equation in point slope form of the line that passes through -3, -1 and has a slope of 2
    8·1 answer
  • What is 1000 to the power of 8
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!