Answer:
The numbers are 19 and 5
Step-by-step explanation:
Given
Let the numbers be ![x\ and\ y.](https://tex.z-dn.net/?f=x%5C%20and%5C%20y.)
So:
--- First statement
--- second statement
Required
Find x and y
Substitute
in ![x*y = 95](https://tex.z-dn.net/?f=x%2Ay%20%3D%2095)
![(9 + 2y) * y = 95](https://tex.z-dn.net/?f=%289%20%2B%202y%29%20%2A%20y%20%3D%2095)
![9y + 2y^2 = 95](https://tex.z-dn.net/?f=9y%20%2B%202y%5E2%20%3D%2095)
Rewrite as:
Expand
![2y^2 -10y +19y- 95 = 0](https://tex.z-dn.net/?f=2y%5E2%20-10y%20%2B19y-%2095%20%3D%200)
Factorize
![2y(y -5) +19(y- 5) = 0](https://tex.z-dn.net/?f=2y%28y%20-5%29%20%2B19%28y-%205%29%20%3D%200)
![(2y +19)(y- 5) = 0](https://tex.z-dn.net/?f=%282y%20%20%2B19%29%28y-%205%29%20%3D%200)
Solve for y
or ![y - 5 = 0](https://tex.z-dn.net/?f=y%20-%205%20%3D%200)
or ![y = 5](https://tex.z-dn.net/?f=y%20%3D%205)
or ![y=5](https://tex.z-dn.net/?f=y%3D5)
Since the numbers are positive, we take only:
![y=5](https://tex.z-dn.net/?f=y%3D5)
Substitute
in ![x = 9 + 2y](https://tex.z-dn.net/?f=x%20%3D%209%20%2B%202y)
![x = 9 + 2 * 5](https://tex.z-dn.net/?f=x%20%3D%209%20%2B%202%20%2A%205)
![x = 9 + 10](https://tex.z-dn.net/?f=x%20%3D%209%20%2B%2010)
![x = 19](https://tex.z-dn.net/?f=x%20%3D%2019)
<em>The numbers are 19 and 5</em>
Hello,
sin (P)/p=sin (R)/r
==>r=sin (P)/(p* sin (R))
r= (3/4)/(40*2/5)
r=3/4 * 5 /(40*2)=(3/4) /16=3/64
Answer:-12+14-2x=2(1-x) d answer
Step-by-step explanation:
Answer: 6
Step-by-step explanation:
From the question, we are informed that a band expects to put 15 songs on their next CD and that the band writes and records 60% more songs than they expect to put on the CD. Therefore, the total songs will be:
= 15 + (60% × 15)
= 15 + (0.6 × 15)
= 15 + 9
= 24 songs.
During the editing process, 75% of the songs are removed. The total number of songs that will be there on the final CD will be:
= 24 - (75% × 24)
= 24 - (0.75 × 24)
= 24 - 18
= 6
6 songs will be there on the final CD.