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
motikmotik
3 years ago
13

Students was 1: 8. However, this year the ratio of the number of middle school students to the number of high school students ch

anged to 2: 7. If there are 18 middle school students in the band this year, how many fewer high school students are in the band this year compared to last year? Expla
Mathematics
1 answer:
denis23 [38]3 years ago
7 0

Answer:

Step-by-step explanation:

Last year

Ratio of the number of middle school students to number of high school students = 1 : 8

Total ratio = 9

Middle school = 1

High school = 8

Total students in the band = x

Middle school = 1/9x

High school = 8/9x

Total = 1/9x + 8/9x

This year

Ratio of the number of middle school students to number of high school students = 2 : 7

Total ratio = 9

Middle school = 2

High school = 7

Total students = x

Middle school = 2/9x

High school = 7/9x

Total = 2/9x + 7/9x

If there are 18 middle school students in the band this year

2/9x = 18

x = 18÷2/9

= 18 × 9/2

= 81

x = 81

Last year:

1/9x + 8/9x

= 1/9 * 81 + 8/9 * 81

= 9 + 72

= 81

This year

2/9x + 7/9x

2/9*81 + 7/9*81

= 18 + 63

=81

Change in middle school =this year - last year

= 18 - 9

= 9 (increase)

Change in high school = this year - last year

= 63 - 72

= -9 (decrease)

You might be interested in
Marco wants to sell his marble collection at a yard sale. He has 112 marbles that he wants to put in bags with 8 marbles in each
OLEGan [10]

marco ill have 14 bags total :)

6 0
2 years ago
Read 2 more answers
The management of a large airline wants to estimate the average time after takeoff taken before the crew begins serving snacks a
Dahasolnce [82]

Answer:

The answer is "Option a, Option b, and Option d".

Step-by-step explanation:

In the given question it is used to stratifying the sampling if the population of this scenario it flights takes off when it is divided via some strata.

  • In option a, In this case, it stratified the sampling, as the population of planes taking off has been divided into the days of the week.
  • In option b, It also used as the case of stratified sampling.
  • In options c, it is systematic sampling, that's why it is wrong.
  • In option d,  It is an example of stratifying the sampling.
3 0
2 years ago
What is the area of the triangle shown below ?3.7mm 4.8mm
Aleks04 [339]
I can’t answer because I don’t have the picture of the triangle
3 0
2 years ago
Stephen is making a map of his neighborhood. He knows the following info: the distance from his home to the park is 10 blocks th
SpyIntel [72]
An architect plans to make a drawing of the room of a house. The segment LM represents the ceiling of the room. He wants to construct a line passing through Q and perpendicular to side LM to represent a wall of the room. He uses a straightedge and compass to complete some steps of the construction, as shown below:
4 0
2 years ago
What is the solution of 5 x + 1] + 6 = 21?
Mice21 [21]

Answer:

x = -4 or x = 2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which number line illustrates the problem below? x = -1 - (-2) -3
    8·1 answer
  • Q9 Q11.) Complete the first and second equations of the system of equations.
    9·1 answer
  • Van bought a 16 pound bag of dog food his dog ate 2/3 of the food how many pounds of dog food did the dog eat
    15·1 answer
  • What is the stopping distance for a car traveling at 65 mph
    11·1 answer
  • Eight dollars more than the shirt costs
    11·1 answer
  • What is this please show work too solve the proportion
    9·1 answer
  • Which equation could be solved using this application of the quadratic formula?
    14·1 answer
  • There are 10 boys and 13 girls in Ms. Kelso’s homeroom. She is going to select one boy and one girl to act as homeroom represent
    12·2 answers
  • The table shows the number of people waiting in line for different rides at an amusement park.What is the ratio of people waitin
    5·2 answers
  • How will you represent the moves you have taken?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!