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Anika [276]
3 years ago
13

What is 5(2x+1)=4-2(4x-5)

Mathematics
1 answer:
Butoxors [25]3 years ago
4 0

Answer:

x=0.5

Step-by-step explanation:

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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
16. Find the length of x.
otez555 [7]

Answer:

Step-by-step explanation:

If two chords intersect inside a circle, then

DE * BE =AE * CE

10*x = 8*6

 10x = 48

   x = 48/10

x = 4.8

7 0
2 years ago
Read 2 more answers
Joseph is building a cone using modeling clay. The cone has a radius of 6 cm and a height of 12 cm. Joseph adds additional clay,
dmitriy555 [2]
<span>Cone Volume = (<span>π<span> • r² •<span> h) ÷ 3

Original cone = (3.14 * 6^2 * 12) / 3
</span></span></span></span>
<span><span>Original cone = 452.16 </span> cc

</span>Larger cone =  <span>(3.14 * 6^2 * 18) / 3 = </span> <span> <span> <span> 678.24 </span> </span> </span> cc

Difference = <span>(678.24 -452.16) = </span> <span> <span> <span> 226.08 </span> </span> </span> cc


3 0
3 years ago
Read 2 more answers
BRAINLIESTTT ASAP! PLEASE HELP ME :)<br><br> Find the inverse of :
muminat

Answer:

h^{-1}(x) = \dfrac{5x - 6}{2}

Step-by-step explanation:

h(x)= \dfrac{2x + 6}{5}

(a) Rename h(x) as y  

y = \dfrac{ 2x+ 6}{5}

(b) Solve for x :  

\begin{array}{rcl}y& = &\dfrac{2x + 6}{5}\\\\5y & = & 2x + 6\\5y - 6 & = & 2x\\x & = & \mathbf{\dfrac{5y - 6}{2}}\end{array}

(d) Switch x and y  

y = \dfrac{5x -6}{2}

(e) Rename y as the inverse function  

h^{-1}(x) = \mathbf{\dfrac{5x - 6}{2}}

The graphs of inverse functions are reflections of each other across the line y = x.

In the diagram, the graph of h⁻¹(x) is the reflection of h(x) about the line y = x.

5 0
3 years ago
Read 2 more answers
What is an equivalent expression for 65 ÷ 63.
GREYUIT [131]

Answer:

The equivalent expression is 65/63

3 0
3 years ago
Read 2 more answers
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