Answer:
Step-by-step explanation:
![~~~~~~~2^n+2^n+2^n+2^n = 2^{16}\\\\\implies 4 \cdot 2^n = 2^{16}\\\\\implies 2^2 \cdot 2^n = 2^{16}\\\\\implies 2^{n+2} = 2^{16}~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\\implies n+ 2 = 16\\\\\implies n = 16-2 \\\\\implies n = 14](https://tex.z-dn.net/?f=~~~~~~~2%5En%2B2%5En%2B2%5En%2B2%5En%20%3D%202%5E%7B16%7D%5C%5C%5C%5C%5Cimplies%204%20%5Ccdot%202%5En%20%3D%202%5E%7B16%7D%5C%5C%5C%5C%5Cimplies%202%5E2%20%5Ccdot%202%5En%20%3D%202%5E%7B16%7D%5C%5C%5C%5C%5Cimplies%202%5E%7Bn%2B2%7D%20%3D%202%5E%7B16%7D~~~~~~~~~~~~~~~~~~~~~~~~~~~~%3B%5Ba%5Em%20%5Ccdot%20a%5En%20%3D%20a%5E%7Bm%2Bn%7D%5D%5C%5C%5C%5C%5Cimplies%20n%2B%202%20%3D%2016%5C%5C%5C%5C%5Cimplies%20n%20%3D%2016-2%20%5C%5C%5C%5C%5Cimplies%20n%20%3D%2014)
24 girls divided by 6 girls = 4 boys. 3 boys for every girl and there is 6 girls so you would do 4 x 3 = 12 boys.
Answer:
7 : 17.29
Step-by-step explanation:
==>Given:
Two similar cylinders:
Surface area of Cylinder A = 49cm²
Surface area of Cylinder B = 121cm²
==>Required:
Scale factor between both cylinders
==>Solution:
We can easily get the scale factor between both by taking the following steps:
=>Set up a ratio of their surface area:
Smaller cone surface area : larger cone surface area
49:121
= 49/121
=>Simplify the ratio gotten:
Dividing the denominator and the numerator by 7, would give us,
7/17.29
= 7:17.29
5x-8y=1...(1)
3x+6y=-21...(2)
(1)*3:
15x-24y=3...(3)
(2)*5:
15x+30y=-105...(2)
(3)-(2):
15x-24y-(15x+30y)=3-(-105)
15x-24y-15x-30y=108
-54y=108
y=-2
