1.2 I’m so sorry if it’s wrong.
Answer:
56
Step-by-step explanation:
You add 91 and 33 and you get 124. Subtract 180 and 124 to get 56.
Use the substitution method:
2x - 6y = -12
x - 2y = -8
Then x = 2y - 8
Substitute in the first equation:
2(2y - 8) - 6y = -12
4y - 16 - 6y = -12
-2y = 4
y = -2
Now substitute y in one of the two equations given you prefer:
For example x-2*(-2) = -8
x + 4 = -8
x = -12
The solutions are x = -12 and y = -2
She
wants to serve --------- > 2 gallons of juice that is 75% orange
juice and 25% pineapple juice
then
2*0.75------------------ > 1.5 gallons of orange juice
2*0.25------------------ > 0.5 gallons of pineapple juice
2 gallons------------ >1.5 gallons of orange juice+ 0.5 gallons
of pineapple juice
if
1 gallons pineapple juice mixture--------------------- > 0.40 gallons pineapple juice
X-------------------------------------------------------------------
> 0.50 gallons pineapple juice
X=50/40=1.25
gallons juice mixture
1.25
mixture gallons---- > 0.50 gallons pineapple juice+0.75 gallons orange juice
Therefore
(2-1.25)=0.75
gallons of orange juice
2 gallons------------ >0.75 gallons of orange juice+ <span>1.25 mixture gallons </span>
0.75*(p)+1.25*(m)=2--------------- > (0.75/1.25)*(p)+(1.25/1.25)*m=2/1.25
0.60p+m=1.6
The answer is 0.60p+m=1.6
Answer:
Required center of mass 
Step-by-step explanation:
Given semcircles are,
whose radious are 1 and 4 respectively.
To find center of mass,
, let density at any point is
and distance from the origin is r be such that,
where k is a constant.
Mass of the lamina=m=
where A is the total region and D is curves.
then,

- Now, x-coordinate of center of mass is
. in polar coordinate 




![=3k\big[-\cos\theta\big]_{0}^{\pi}](https://tex.z-dn.net/?f=%3D3k%5Cbig%5B-%5Ccos%5Ctheta%5Cbig%5D_%7B0%7D%5E%7B%5Cpi%7D)
![=3k\big[-\cos\pi+\cos 0\big]](https://tex.z-dn.net/?f=%3D3k%5Cbig%5B-%5Ccos%5Cpi%2B%5Ccos%200%5Cbig%5D)

Then, 
- y-coordinate of center of mass is
. in polar coordinate 




![=3k\big[\sin\theta\big]_{0}^{\pi}](https://tex.z-dn.net/?f=%3D3k%5Cbig%5B%5Csin%5Ctheta%5Cbig%5D_%7B0%7D%5E%7B%5Cpi%7D)
![=3k\big[\sin\pi-\sin 0\big]](https://tex.z-dn.net/?f=%3D3k%5Cbig%5B%5Csin%5Cpi-%5Csin%200%5Cbig%5D)

Then, 
Hence center of mass 