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mario62 [17]
3 years ago
5

Kenny and Kylee's music players have the same capacity for music. Kenny's music player is full with 320 songs. His songs have an

average length of four minutes. Kylee has fewer songs, but the average length of her songs is five minutes. Assuming both music players are at full capacity, how many songs does Kylee have?
224
200
128
256
Mathematics
1 answer:
Alexxandr [17]3 years ago
3 0
The answer for your question is 256
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an athletic facility is building an indoor track. the track is composed of a rectangle and two semicircles, as shown. a) write a
stepan [7]

Answer:

(a) P = 2x + 2r + 2πr

(b) x = ½(P - 2r - 2πr)

(c) x = 123 feet

Step-by-step explanation:

See Attachment for sketch of the track

Solving for (a): Perimeter of the track

This is calculated by adding the perimeter of the rectangle to the 2 semicircles as follows.

P = Perimeter of Rectangle + Perimeter of 2 Semicircles

P = 2(x + r) + 2 * πr

[Where r is the radius of both semicircles]

Open bracket

P = 2x + 2r + 2πr

Solving for (b): Formula for x

P = 2x + 2r + 2πr

Make x the subject of formula

2x = P - 2r - 2πr

Divide both sides by 2

x = ½(P - 2r - 2πr)

Solving for (c): the value of x when r = 50 and P = 660

Substitute the given values in the formula in (b) above

x = ½(P - 2r - 2πr)

x = ½(660 - 2 * 50 - 2π * 50)

x = ½(660 - 100 - 100π)

x = ½(560 - 100π)

Take π as 3.14

x = ½(560 - 100 * 3.14)

x = ½(560 - 314)

x = ½ * 246

x = 123 feet

6 0
3 years ago
Assume Pina Colada Corp. uses the periodic inventory system and has a beginning inventory balance of $5800, purchases of $65000,
babymother [125]

The inventory account expected to have by December 31 is more than $5800. Option C

<h3>How to calculate the end inventory</h3>

The formula for end inventory is given as ;

Ending inventory = Beginning inventory + net purchases –sales

Beginning inventory = $5800

Net purchases = $65000

Sales = $112000

Put into the formula

Ending inventory = $ 5800 + 65000 - 112000

Add first,

Ending inventory = $ 70800 - 112000

Ending inventory = $ -41, 200

Thus, the inventory account expected to have by December 31 is more than $5800. Option C

Learn more about ending inventory here:

brainly.com/question/24868116

#SPJ1

4 0
2 years ago
Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below:
ahrayia [7]
Plug -5 into both of them and divide:

\sf\dfrac{2x-20}{x-1}

\sf\dfrac{2(-5)-20}{-5-1}

Simplify:

\sf\dfrac{-10-20}{-6}

\sf\dfrac{-30}{-6}

\boxed{\sf 5}
7 0
3 years ago
Read 2 more answers
Help me please I don't understand
Arturiano [62]

Step-by-step explanation:

hope this helps you out with the problems

3 0
3 years ago
HELP FAST<br><br> find the value of x.
sergeinik [125]

Answer:

81=6x+3(vertically opposite angle are equal)

81-3=6x

78=6x

x=13°

hope it helps.

6 0
2 years ago
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