A. 9
B. 24
C. 6
D. 16
Step-by-step explanation:
Given ratios are;
A. 2 : 3 = 6 : x
Product of mean = Product of extreme
![6*3=2*x\\18=2x\\2x=18](https://tex.z-dn.net/?f=6%2A3%3D2%2Ax%5C%5C18%3D2x%5C%5C2x%3D18)
Dividing both sides by 2
![\frac{2x}{2}=\frac{18}{2}\\x=9](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B18%7D%7B2%7D%5C%5Cx%3D9)
B. 4 : 7 = x : 42
Product of mean = Product of extreme
![7x=168](https://tex.z-dn.net/?f=7x%3D168)
Dividing both sides by 7
![\frac{7x}{7}=\frac{168}{7}\\x=24](https://tex.z-dn.net/?f=%5Cfrac%7B7x%7D%7B7%7D%3D%5Cfrac%7B168%7D%7B7%7D%5C%5Cx%3D24)
C. 2x : 48 = 3 : 12
Product of extreme = Product of mean
![2x*12=48*3\\24x=144](https://tex.z-dn.net/?f=2x%2A12%3D48%2A3%5C%5C24x%3D144)
Dividing both sides by 24
![\frac{24x}{24}=\frac{144}{24}\\x=6](https://tex.z-dn.net/?f=%5Cfrac%7B24x%7D%7B24%7D%3D%5Cfrac%7B144%7D%7B24%7D%5C%5Cx%3D6)
D. 12 : 15 = x : 20
Product of mean = Product of extreme
![15*x=12*20\\15x=240](https://tex.z-dn.net/?f=15%2Ax%3D12%2A20%5C%5C15x%3D240)
Dividing both sides by 15
![\frac{15x}{15}=\frac{240}{15}\\x=16](https://tex.z-dn.net/?f=%5Cfrac%7B15x%7D%7B15%7D%3D%5Cfrac%7B240%7D%7B15%7D%5C%5Cx%3D16)
Answer:
baseball 55
soccer 110
football 83
basketball 67
Step-by-step explanation:
Answer:
1/3 y
Step-by-step explanation:
Step-by-step explanation:
![8 ^{2x + 1}= {4}^{1 - x}](https://tex.z-dn.net/?f=8%20%5E%7B2x%20%2B%201%7D%3D%20%20%20%7B4%7D%5E%7B1%20-%20x%7D%20)
![({2}^{3})^{2x + 1} = ({2}^{2})^{1 - x}](https://tex.z-dn.net/?f=%28%7B2%7D%5E%7B3%7D%29%5E%7B2x%20%2B%201%7D%20%20%20%3D%20%28%7B2%7D%5E%7B2%7D%29%5E%7B1%20-%20x%7D%20)
![2^{6x + 3} = {2}^{2 - 2x}](https://tex.z-dn.net/?f=2%5E%7B6x%20%2B%203%7D%20%20%3D%20%20%7B2%7D%5E%7B2%20-%202x%7D%20)
![6x + 3 = 2 - 2x](https://tex.z-dn.net/?f=6x%20%2B%203%20%3D%202%20-%202x)
![6x + 2x = 2 - 3](https://tex.z-dn.net/?f=6x%20%2B%202x%20%3D%202%20-%203)
![8x = - 1](https://tex.z-dn.net/?f=8x%20%3D%20%20-%201)
![x = - \frac{1}{8}](https://tex.z-dn.net/?f=x%20%3D%20%20%20-%20%5Cfrac%7B1%7D%7B8%7D%20)