Answer:
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Step-by-step explanation:
Let us represent:
The number of liters of 25% acid solution = x
The number of liters of 40% acid solution = y
Our system of Equations =
x + y = 240 liters....... Equation 1
x = 240 - y
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.
25% × x + 40% × y = 240 liters × 30%
0.25x+ 0.4y = 72...... Equation 2
We substitute 240 - y for x in Equation 2
0.25(240 - y)+ 0.4y = 72
60 - 0.25y + 0.4y = 72
Collect like terms
- 0.25y + 0.4y = 72 - 60
0.15y = 12
y = 12/0.15
y = 80 Liters
Solving for x
x = 240 - y
x = 240 liters - 80 Liters
x = 160 liters
Therefore,
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
The answer is infinitely many solutions.
If you graph them both are a straight line which means they are infinite
Alright, lets get started.
One report takes to file an average of = 45 minutes
Means 12 reports takes to file time = 12 * 45 = 540 minutes
12 reports filing total time = 540 minutes
We are asked to find time to file 75 % of them.
Which means 75 % of 540
= 540 * 75/100
= 540 * 0.75
= 405 minutes
We could convert it into hrs dividing with 60.
405 / 60 = 6.75 hrs
Means it will take 6.75 hrs to file 75% of them: Answer
Hope it will help :)
Answer:
63
Step-by-step explanation:
Given:
a set of six elements
The solution would be like this for this specific problem:
number of subsets of n elements = 2^n
(2^6) - 1
= 64 – 1
= 63
