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Marat540 [252]
3 years ago
5

Moesha"s music library has 17 more than two times the number of songs than Damian's music library. Define a variable and write a

n expression to represent the number of songs in Moesha's music library. Then find the number of songs in Moesha's library if Damian has 5 songs in his library.
Mathematics
2 answers:
hammer [34]3 years ago
7 0
To make things easier, Moesha will be variable 'm' and Damian 'd'.

Number of songs in m's library would be 2d+17 and if d= 5, m=27
xenn [34]3 years ago
7 0

Answer:

M = 2D + 17, Moesha has 27 songs.

Step-by-step explanation:

We don't know how many number of songs has Damian but we do know that Moesha has twice the songs of Damian plus 17.

So let

Moesha's library = M

Damian's library = D

And the expression would be:

M = 2D + 17

If Damian has 5 songs, we can know how many songs has Moesha using the equation given earlier.

M = 2(5) + 17

M = 10 + 17

M = 27

Therefore if Damian has 5 songs, Moesha has 27 songs.

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<span> On the first day of Christmas,
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And a partridge in a pear tree. On the third day of Christmas,
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The song continues, adding 4 calling birds on the 4th day, 5 golden rings on the 5th, and so on up to the 12th day, when 12 drummers add to the cacophony of assorted birds, pipers and lords leaping all over the place.

Notice that on each day there is one partridge (so I will have 12 partridges by the 12th day), and each day from the second day onwards there are 2 doves (so I will have 22 doves), and from the 3rd there are 3 hens (total of 30 hens), and so on.

So, how many presents are there altogether?

Partridges: 1 × 12 = 12

Doves: 2 × 11 = 22

Hens 3 × 10 = 30

Calling birds: 4 × 9 = 36

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Geese: 6 × 7 = 42

Swans: 7 × 6 = 42

Maids: 8 × 5 = 40

Ladies: 9 × 4 = 36

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Pipers: 11 × 2 = 22

Drummers: 12 × 1 = 12

Total = 364

We observe that we have the same number of partridges as drummers (12 of each); doves and pipers (22 of each); hens and lords (30 of each) and so on. So the easiest way to count our presents is to add up to the middle of the list and then double the result: (12 + 22 + 30 + 36 + 40 + 42) × 2 = 364.


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