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
Vsevolod [243]
3 years ago
12

The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72 minutes long. The jazz

choir records 7 songs with an average of 3 minutes per songEach symphonic choir song is an average of 3.5 minutes long. What is the maximum number of songs the symphonic choir can record?
Mathematics
1 answer:
zimovet [89]3 years ago
3 0

Answer:

The symphonic choir can record a maximum of 14 songs.

Step-by-step explanation:

We know that the album cannot be more than 72 minutes long, and the jazz choir records a total of 7 (3min) = 21  song minutes.

If we call c the number of songs the symphonic choir records , and each song is 3.5 minute long, then the song minutes for the symphonic choir are 3.5c; therefore, we have the inequality

3.5c+21\leq 72<em> (this says the song minutes for jazz choir plus song minutes for symphonic choice cannot exceed 72 minutes )</em>

We solve this inequality by subtracting 21 from both sides and then dividing by 3.5:

3.5c\leq 51

$c\leq \frac{51}{3.5} $

c\leq 14.47

The maximum integer value c can take is 14; therefore, the maximum number of songs the symphonic choir can record is 14 songs.

You might be interested in
A Ladder That Is 5 meters in length is resting on a branch of a tree and the base of the ladder is 3 meters from the tree on the
Stells [14]
Use  the Pythagoras theorem:-

height = sqrt(5^2 - 3^2 ) =  sqrt16  = 4 metres  Answer.



5 0
3 years ago
In order for Aunt Lucy to save the desired $200,000 at age 65, how much will she need to save each month. Round your answer up t
balandron [24]

Answer:

$520.83

Step-by-step explanation:

7 0
3 years ago
Chang spent $16
alexandr1967 [171]

Answer:

76 percent

Step-by-step explanation:


8 0
3 years ago
Which graph represents the solution to the system of inequalities below?
Reika [66]

Answer:

The correct option is;

B

Step-by-step explanation:

The given system of inequalities are;

5·x - 4·y > 4...(1)

x + y < 2...(2)

Representing both inequalities as a function of "y", gives;

For, 5·x - 4·y > 4...(1), we have;

-4·y > 4 - 5·x

y < 4/(-4) - 5·x/(-4)

∴ y < 5·x/4 - 1

For x + y < 2...(2), we have;

y < 2 - x

Therefore, y is less than the values given by the equation of the straight line equalities, and the feasible region is given by the common region under both dashed lines representing both inequalities as shown in the attached diagram created using Microsoft Excel

The correct option is therefore, B.

3 0
2 years ago
Please provide an answer that's simple and concise then provide an explanation if available
Liono4ka [1.6K]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Suppose 6 quarts of a solution that is 52% antifreeze is mixed with 10 quarts of a solution that is 32% antifreeze. (A) how many
    7·1 answer
  • A school playground is in the shape of a rectangle 400 feet long and 200 feet wide if fencing cost $12 per year, what will it co
    12·1 answer
  • Factorise <br> a) 4p²-81<br> b) x²-13x+36
    6·1 answer
  • The sum of two numbers is 9 and their differecne is 3
    13·2 answers
  • Shaded areas <br>please help guys ❤❤❤​
    12·2 answers
  • The number of students enrolled at a college is 12,000 and grows 3% each year.
    6·1 answer
  • You are rolling two dice at the same time. What is the probability of rolling a sum of 5 or 9?
    5·2 answers
  • Can i have some help
    11·1 answer
  • (
    12·1 answer
  • I need a little bit of assistance with question 2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!