Answer:
She plays 5 new songs for every 2 old ones.
If she plays 15 new songs, she will play 6 old songs.
15 + 6 = 21
thus, she played 21 songs altogether.
Answer:
D, 3/13 simplified from 12/52
Step-by-step explanation:
the reason that it would be 3/13 is because its simplified from 12/52, which is 12 of the possibly of face cards over 52 the amount of cards in the deck, so the possibility was 12/52, but simplified would be 3/13 ! love you !
BE SAFE !!!! HOPE THIS HELPS!!!!
<3 <3 <3 <3 <3
You can start by rewriting the equation so that the right side equals zero. Add
![-7x](https://tex.z-dn.net/?f=-7x)
and
![8](https://tex.z-dn.net/?f=8)
to both sides.
![x^2+7x+8=0](https://tex.z-dn.net/?f=x%5E2%2B7x%2B8%3D0)
You can now use the quadratic equation (below), where
![a=1, b=7,](https://tex.z-dn.net/?f=a%3D1%2C%20b%3D7%2C)
and
![c=8](https://tex.z-dn.net/?f=c%3D8)
, to find solutions. Plug in these values for
![a, b,](https://tex.z-dn.net/?f=a%2C%20b%2C)
and
![c](https://tex.z-dn.net/?f=c)
into the equation and simplify.
![\frac{-b \pm \sqrt{b^2-4(ac)}} {2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4%28ac%29%7D%7D%20%7B2a%7D)
![\frac{-7 \pm \sqrt{7^2-4(1 \times 8)}} {2 \times 1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%20%5Cpm%20%5Csqrt%7B7%5E2-4%281%20%5Ctimes%208%29%7D%7D%20%7B2%20%5Ctimes%201%7D)
![\frac{-7 \pm \sqrt{49-32}} {2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%20%5Cpm%20%5Csqrt%7B49-32%7D%7D%20%7B2%7D)
![\frac{-7 \pm \sqrt{17}} {2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-7%20%5Cpm%20%5Csqrt%7B17%7D%7D%20%7B2%7D)
The final answer is the combination of both solutions.
![x=\frac{-7}{2} \pm \frac{\sqrt{17}} {2} \approx -3.5 \pm 2.06.](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-7%7D%7B2%7D%20%5Cpm%20%5Cfrac%7B%5Csqrt%7B17%7D%7D%20%7B2%7D%20%5Capprox%20-3.5%20%5Cpm%202.06.)
Or approximately...