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
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!
musickatia [10]
59° + 81°+ x° = 180°

140° + x° = 180°

x = 40°
8 0
3 years ago
Read 2 more answers
Arthur is organising his collection of dvds he has 135 altogether. The ratio of comedy films to action horror is 6 : 8 : 1
Nina [5.8K]

Answer: See explanation

Step-by-step explanation:

The number of comedy films will be:

= 6/(6+8+1) × 135

= 6/15 × 135

= 54 comedy films

The number of action films will be:

= 8/(6+8+1) × 135

= 8/15 × 135

= 72 action films

The number of horror films will be:

= 1/(6+8+1) × 135

= 1/15 × 135

= 9 horror films

5 0
3 years ago
From a group of 11 people, you randomly select 4 of them. what is the probability that they are the 4 oldest people in the group
Andre45 [30]

Answer:

<u>1/ 130 is the probability that they are the 4 oldest people in the group. </u>

Step-by-step explanation:

In the question, we are given; group of 11 people, 4 are selected randomly, find probability they are the 4 oldest people from the group

P(O)= <em>favorable number of outcomes / total number of outcomes </em>

<h3>= 1 / 11C4</h3>

=  11! / (11-4)! 4!

=  7! *4! / 11!

=1/ 130

<em>Therefore, 1 / 130 is the probability that they are the 4 oldest people in the group. </em>

#SPJ4

5 0
1 year ago
At 30 miles per hour how far can a person travel in 5 hours ?
Vilka [71]

Answer:

150 miles

Step-by-step explanation:

5 x 30

3 0
3 years ago
Read 2 more answers
Solve the equation using distributive property and properties of equality.1/2(x+6)=18
REY [17]

I'm sorry but I don't understand what "distributive property" and "properties of equality" means - English isn't my native language.

But the value of x is 30

0,5 * (30 + 6) = 18

6 0
3 years ago
Read 2 more answers
Other questions:
  • 500(x - 3) = 5000<br><br><br><br> x = _____
    14·1 answer
  • Alan is 14 years old.This is twice as old as his brother James is.How old is James?
    7·2 answers
  • I need help is it A B C or D
    5·1 answer
  • 3. Sophie and Jackie each have a collection of baseball cards, Jackie has 5 more cards than
    14·1 answer
  • Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations.
    8·1 answer
  • How do you write 32,005,008 in expanded form
    8·2 answers
  • Please someone should help me solve it 2x ÷ x^ - 4
    6·1 answer
  • Which quantity is proportional to 12⁄15?
    5·1 answer
  • Why do people hate math so much?
    5·2 answers
  • Convert 5031centimeters to inches
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!