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Orlov [11]
3 years ago
15

The students in a college marching band are arranged in rows. The recursive rule f(n) = f(n − 1) + 8 and f(1) = 13 gives the num

ber of students in each row, where n is the row number. All of the clarinet players are in row 1, and all of the trumpet players are in row 4. How many more trumpet players than clarinet players are there? Complete the explanation.
Mathematics
1 answer:
anzhelika [568]3 years ago
3 0

Answer:

There are 24 more trumpet players than clarinet players

Step-by-step explanation:

The given information are;

The recursive rule or the number of band members in a row is f(n) = f(n - 1) + 8

Where f(1) = 13

The members of the band players in row 1 = The clarinet players

The members of the band players in row 4 = The trumpet players

Therefore, the number of clarinet players = f(1) = 13

The number of band members in row 2, f(2)  = f(1) + 8 = 13 + 8 = 21

The number of band members in row 3, f(3)  = f(2) + 8 = 21 + 8 = 29

The number of band members in row 4, f(4)  = f(3) + 8 = 29 + 8 = 37

Therefore, given that the trumpet players are in row 4, the number of trumpet players = The number of band members in row 4 = 37 Trumpet players

The difference in the number of trumpet and clarinet = The number of more trumpet players than clarinet players = 37 - 13 = 24 more trumpet players than clarinet players

There are 24 more trumpet players than clarinet players.

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2 years ago
Stacy is selling tickets for the school play. She has a total of 200 seats available, and there will be two types of tickets off
Ganezh [65]

She sold 74 child tickets and 126 adult tickets

Step-by-step explanation:

Stacy is selling tickets for the school play

  • She has a total of 200 seats available, and there will be two types of tickets offered, child and adult tickets
  • She sold each child ticket for $6 , each adult ticket for $10 , and made a total of $1704

We need to find how many of each ticket  she sold

Assume that x is the number of child tickets and y is the number of the adult tickets

∵ She has a total of 200 seats available

∵ She sold x child tickets

∵ She sold y adult tickets

- Add x and y, then equate the sum by 200

∴ x + y = 200 ⇒ (1)

∵ She sold each child ticket for $6

∵ She sold each adult ticket for $10

∵ She made a total of $1704

- Multiply x by 6 and y by 10, then add the products and

   equate them by 1704

∴ 6x + 10y = 1704 ⇒ (2)

Now we have a system of equation to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -2000 ⇒ (3)

- Add equations (2) and (3) to find x

∴ -4x = -296

- Divide both sides by -4

∴ x = 74

- Substitute the value of x in equation (1) to find y

∵ 74 + y = 200

- Subtract 74 from both sides

∴ y = 126

She sold 74 child tickets and 126 adult tickets

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0
3 years ago
WILL GIVE BRAINLST <br><br> HAVE A GOOD DAY
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1st one 17/100 2nd one 0.25


Because 0.17 would be like 17% out of 100% so the fraction simplified is 17/100

2. Since the area of a square is length×length
But according to the question we are asked to find the length and the area is given so we will have to solve this
L×L= area
L^2=0.25
Square root both sides
L=√0.25
L=0.5
Therefore the length of the square is 0.5
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3 years ago
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Naya [18.7K]

Answer:

9(8+y)

Step-by-step explanation:

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