Answer:
The number of liters for :
Acid solution a = x = 8 liters
Acid solution b = y = 32 liters
Step-by-step explanation:
Let us represent:
The number of liters for :
Acid solution a = x
Acid solution b = y
Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution.
x + y = 40 ...... Equation 1
x = 40 - y
25% × x + 50% × y = 45% × 40
0.25x + 0.5y = 18...... Equation 2
We substitute, 40 - y for x in Equation 2
0.25(40 - y)+ 0.5y = 18
10 - 0.25y + 0.5y = 18
- 0.25y + 0.5y = 18 - 10
0.25y = 8
y = 8/0.25
y = 32 Liters
Solving for x
x = 40 - y
x = 40 - 32
x = 8 Liters.
Hence:
The number of liters for :
Acid solution a = x = 8 liters
Acid solution b = y = 32 liters
Two planes may intersect, be parallel, or coincide .
If two planes intersect, then the set of common points is a line that lies in both planes. Two parallel planes can not intersect.
The intersection of two planes that do not coincide (if it exists) is always a line.
If an intersection of the planes does not exist, the planes are said to be parallel.
Answer:
The person who receives the most will get $24
Step-by-step explanation:
Let
x ----> amount received by the first person
y ----> amount received by the second person
z ----> amount received by the third person
we know that
----> equation A
so
----> equation B
----> equation C
substitute equation B and equation C in equation A
solve for y
Find the value of x
Find the value of z
therefore
The person who receives the most will get $24
Answer: do you need help with 1 and 2?
Step-by-step explanation:
