Answer:
There will be 200g of aluminium.
Step-by-step explanation:
We use a rule of three to solve this question.
However, the relationship between the variables are inverse, which means that we use an inverse rule of three. This means that we are going to multiply the values laterally, instead of diagonally(cross multiplication).
We have these following relationships:
600g aluminum - 40g tim
xg aluminium - 120g tin
Multiplying laterally:
![120x = 600*40](https://tex.z-dn.net/?f=120x%20%3D%20600%2A40)
![x = \frac{600*40}{120}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B600%2A40%7D%7B120%7D)
![x = 200](https://tex.z-dn.net/?f=x%20%3D%20200)
There will be 200g of aluminium.
Answer:
![v=\frac{48}{5}=9\frac{3}{5} \\](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B48%7D%7B5%7D%3D9%5Cfrac%7B3%7D%7B5%7D%20%5C%5C%20)
Step-by-step explanation:
![\frac{8}{5}=\frac{v}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B5%7D%3D%5Cfrac%7Bv%7D%7B6%7D)
Swap sides:
![\frac{v}{6}=\frac{8}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bv%7D%7B6%7D%3D%5Cfrac%7B8%7D%7B5%7D)
Multiply to both sides by 6:
![\frac{v}{6}\cdot6=\frac{8}{5}\cdot6](https://tex.z-dn.net/?f=%5Cfrac%7Bv%7D%7B6%7D%5Ccdot6%3D%5Cfrac%7B8%7D%7B5%7D%5Ccdot6)
Group like terms:
![\frac{1}{6}\cdot6v=\frac{8}{5}\cdot6](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D%5Ccdot6v%3D%5Cfrac%7B8%7D%7B5%7D%5Ccdot6)
Simplify the fraction:
![v=\frac{8}{5}\cdot6](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B8%7D%7B5%7D%5Ccdot6)
Multiply the fractions
![v=\frac{8\cdot6}{5}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B8%5Ccdot6%7D%7B5%7D)
Simplify the arithmetic:
![v=\frac{48}{5}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B48%7D%7B5%7D)
Answer:
The answer is F: 108
Step-by-step explanation:
144 - 108 = 36
108 ÷ 3 = 36
Answer:
x = 25
y = 65
Step-by-step explanation:
(I did it on Math Nation)
180 = 130 + 2x
50 = 2x
x = 25
180 = 50 + 2y
130 = 2y
y = 65
Answer:
3/14
Step-by-step explanation:
P (B then B) = 4/8 x 3/7 or 1/2 x 3/7