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LenaWriter [7]
3 years ago
6

Which expression shows the result of applying distributive property to 12 (5y+4)

Mathematics
1 answer:
lina2011 [118]3 years ago
7 0
A(b+c)=ab+ac

12(5y+4)=12(5y)+12(4)=(12)(5)(y)+48=(60)(y)+48=60y+48


last one
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DJ Titus is making a playlist for a radio show; he is trying to decide what 10 songs to play and in what order they should be pl
Dominik [7]

Answer:

Different playlists possible = 18287141644800

Step-by-step explanation:

Given - DJ Titus is making a playlist for a radio show; he is trying to

            decide what 10 songs to play and in what order they should be

            played.

            Step 1 of 2 : If he has his choices narrowed down to 7 blues,

                                 7 disco, 5 pop, and 7 reggae songs.

To find - He wants to play no more than 4 reggae songs.

              How many different playlists are possible ?

Proof -

Given that he wants to play no more that 4 reggae songs.

So the possibility of choice of reggae song is 0, 1, 2, 3, 4

Now,

Case I -

If 0 reggae song is selected

⇒All 10 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₁₀ ₓ ⁷C₀ = 92,378

Case II -

If 1 reggae song is selected

⇒All 9 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₉ ₓ ⁷C₁ = 646,646

Case III -

If 2 reggae song is selected

⇒All 8 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₈ ₓ ⁷C₂ = 1,587,222

Case IV -

If 3 reggae song is selected

⇒All 7 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₇ ₓ ⁷C₃ = 1,763,580

Case V -

If 4 reggae song is selected

⇒All 6 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₆ ₓ ⁷C₄ = 949,620

So,

Total possible ways = 92,378+ 646,646+ 1,587,222+ 1,763,580+ 949,620

                               = 5,039,446

⇒Total possible ways = 5,039,446

Now,

Also the 10 songs selected can arranged themselves in 10! ways. ( because order of song played does not matter )

∴ we get

Different playlists possible = 10! × 5,039,446

                                          = 18287141644800

⇒Different playlists possible = 18287141644800

6 0
3 years ago
What mathematical question can we ask
lilavasa [31]
Be specific please!!!
5 0
3 years ago
the temperature at noon is -4F. the temperature at 6:00pm is -12. what is difference between noon and 6:00pm temperature
uysha [10]

Answer:

8 degrees Fahrenheit

Step-by-step explanation:

4 0
3 years ago
Evaluate 3^-1 times (4 times 6) times 2^-3
Sergio [31]

3^-1 * (4 *6) * 2^-3

1/3 * (24) * 1/8

1/24 * 24

1

Answer : 1

4 0
3 years ago
Read 2 more answers
A bag contains 6 red marbles, 3 blue, and 1 yellow marble. What is the probability of drawing a red marble and then a blue marbl
Arte-miy333 [17]
At the start, you have 10 marbles in total and 6 red marbles. The probability of the first event is 6/10.

Since you do not place the marble back in, you now have 9 marbles in total and 3 blue marbles. This probability of the second event is 3/9.

To find the probability of both events occurring, we multiply the two probabilities together. (6•3)/(10•9)=18/90=1/5

Thus, there is a 20% chance of drawing a red marble then a blue marble without placing the red marble back in the bag.
5 0
3 years ago
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