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3 years ago

7

the length of a rectangle is 2 cm less than 7 times the width.the perimeter is 60 cm. find the width and length

2 answers:

Vladimir [108]3 years ago

8 0

4 and 26 are the width and length

Mnenie [13.5K]3 years ago

5 0

Width = 4
length = 26

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DJ Mykel is making a playlist for a radio show; he is trying to decide what 14 songs to play and in what order they should be pl

konstantin123 [22]

Answer:

5878600 different playlists.

Step-by-step explanation:

Since we require 14 songs for the playlist and there are 7 hip-hop, 5 jazz, 7 pop, and 8 blues songs, and DJ Mykel wants to play no more than 3 hip-hop songs, the number of ways in which he can combine the 7 hip-hop songs to play no more than 3 is ⁷C₃ = 7!/4!3!.

Now, since we have 3 songs already selected, we are left with 14 - 3 = 11 songs to select.

Since we have selected the 3 hip-hop songs, we are left with 5 jazz, 7 pop, and 8 blues songs which sum to a total of 20 songs.

So, we have 20 songs to select in 11 ways which is ²⁰C₁₁ = 20!/(20 - 11)!11! = 20!/9!11!

So, the number of different playlists that can be formed is thus

⁷C₃ × ²⁰C₁₁ = 7!/4!3!.× 20!/9!11!

= 35 × 167960

= 5878600 different playlists.

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2 years ago

Need an answer, please need an answer, please

inna [77]

Answer:

Step-by-step explanation:

O

3x² - 11x - 4 = 0

a = 3 ; b = -11 , c = -4

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8x² + 12x + 1 = 0

a = 8 ; b = 12 ; c = 1

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x² + x = 6

x² + x - 6 = 0

a = 1 ; b= 1 ; c = -6

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x²- 2x - 2 =0

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$Sum \ of \ roots = \dfrac{-(-2)}{1}=2\\\\Product \ of \ roots = \dfrac{-2}{1}=-2$

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4x - 5 = -4x²

4x² + 4x - 5 = 0

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$Sum \ of \ roots = \dfrac{-4}{4}=-1\\\\Product \ of \ roots=\dfrac{-5}{4}$

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12x² +x -6 = 0

a = 12 ; b = 1 ; c = -6

$Sum \ of \ roots =\dfrac{-1}{12}\\\\Product \ of \ roots =\dfrac{-6}{12}=\dfrac{-1}{2}$

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2x² + 5x - 25 = 0

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6x² -5x - 4 = 0

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2 years ago

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What the improper fraction of 9 1/3

kherson [118]

Answer:

The improper fraction of 9 1/3 is 28/3

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2 years ago

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You originally draw a design for an art contest on a 3 in. x 5 in. card. The second phase of the contest requires the drawing to

bagirrra123 [75]

The answer is 6.3

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2 years ago

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In 8 years, a girl will be 3 years older than twice her present age. How old is she now<br>

Lisa [10]

Answer:

5

Step-by-step explanation:

You can express this as a system of equations:

x in this instance will be her present age.

x + 8 = 2x + 3

simply solve for x after this by subtracting three and x from both sides, and you’ll find that x is 5.

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3 years ago