Answer:
25%
Step-by-step explanation:
Let x represent Akira income and let y represent Hideo income.
Since Akira earns five-eighths of what Hideo earns, therefore Akira income is given by:
x = (5/8)y
Let a represent Akira expenses and let y represent Hideo expenses. Since Akira expenses is half of Hideo, hence:
a = (1/2)b; b = 2a
Given that Akira savings is 40% of his income, we have:
savings = income - expenses
40% of x = x - a
a = x - 0.4x
a = 0.6x
For Hideo:
Income = y, expenses = b = 2a
Savings = income - expenses
Savings = y - 2a
Savings = y - 2(0.6x) = y - 1.2x
Savings = y - 1.2(5/8)y
saving = y - 6y/8
savings = 2y/8 = 0.25y
Therefore Hideo saves 25% of his income
Answer:
There are 24 green marbles.
Step-by-step explanation:
Let x be the number of green marbles, then:
3/2 = 36/x
3x = 2*36
3x = 72
x = 24.
For this case we must find the solution of the following equation:
![5x + 20 = 7 (x + 2)](https://tex.z-dn.net/?f=5x%20%2B%2020%20%3D%207%20%28x%20%2B%202%29)
Applying distributive property on the right side of the equation we have:
![5x + 20 = 7x + 14](https://tex.z-dn.net/?f=5x%20%2B%2020%20%3D%207x%20%2B%2014)
Subtracting 7x from both sides of the equation:
![5x-7x + 20 = 14\\-2x + 20 = 14](https://tex.z-dn.net/?f=5x-7x%20%2B%2020%20%3D%2014%5C%5C-2x%20%2B%2020%20%3D%2014)
Subtracting 20 from both sides of the equation:
![-2x = 14-20](https://tex.z-dn.net/?f=-2x%20%3D%2014-20)
Different signs are subtracted and the major sign is placed.
![-2x = -6](https://tex.z-dn.net/?f=-2x%20%3D%20-6)
Dividing between -2 on both sides of the equation:
![x = \frac {-6} {- 2}\\x = 3](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-6%7D%20%7B-%202%7D%5C%5Cx%20%3D%203)
Thus, the solution of the equation is![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
Answer:
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
I don’t know what the formula stands for but if it was in years instead of months I could totally answer