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Thepotemich [5.8K]
4 years ago
13

The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent t

he number of new releases, and let y represent the number of classics. If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought?
Mathematics
1 answer:
Galina-37 [17]4 years ago
8 0

Answer:

x = 1, y = 60

Step-by-step explanation:

Value of new-releases (x) = $20 each

Value of classic (y) = $8 each

Total budget = $500

Equation : 20x + 8y = 500

The librarian wants to purchase maximum DVDs. She can get more DVDs of classic movies for $8 as they are less costly.

Lets assume the librarian buys at least one new-release DVD.

x=1

20x + 8y = 500

8y + 20(1) = 500

y = 60

<em>Therefore, in a budget of $500, the librarian can purchase 60 classic movies and 1 new-release.</em>

!!

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4 0
3 years ago
The price of a boat that Arthur wants is $29,450. Arthur finances this by paying $6000 down and monthly payment of $792.22 for 3
Natali [406]

Answer:

see details below

Step-by-step explanation:

The price of a boat that Arthur wants is $29,450. Arthur finances this by paying $6000 down and monthly payment of $792.22 for 36 months.

a. Determine the amount to be financed.​​​​​​​15a. ___$23450____________

29450 - 6000 = 23450

b. Determine the installment price.​​​​​​​​b. ___$792,22______________

"monthly payment of $792.22"

c. Determine the finance charge.​​​​​​​​c. __$5069.92_______________

A = 792.22

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= 36*792.22 - 23450

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4 0
3 years ago
Jamie runs a math-tutoring program. For each student, she charges an enrollment fee of $63.00 plus $18.00 per hour of tutoring.
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Answer:

The best and most correct answer among the choices provided by your question is the third choice or letter C. The total number of hours is 17.

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I hope my answer has come to your help. Thank you for posting your question here in Brainly. please follow.

7 0
2 years ago
Isolate 12 + 3n - 2 = 40
levacccp [35]

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+2 +2

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Step-by-step explanation:

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3 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
marissa [1.9K]

Answer:

10  buses are needed.

9  buses will only be able to take 468 people.

Explanation:

There are  461  +  20  =  481  people altogether needing transport.  Each bus can take at most 52 people.  The number of buses needed =   482  ÷  52. 482  ÷  52  =  9.25  buses.  You might be tempted to round down to 9 buses (because of the 2 that follows the decimal)  However, if there are 9 buses,   9  ×  52  =  468  people can be taken  There will still be   13  people to be transported.  This is an example of where you need to round UP to the next whole number.   10  buses are needed.  In reality it means that not all the buses will be full, but 10 buses are needed to ensure that everyone gets a ride to the museum.

7 0
4 years ago
Read 2 more answers
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