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
5p-4p-8=-2+3
Combine like terms
p-8= 1
Add 8 to both sides to isolate p
p=9
Final answer: 1 solution only, p=9
<span>CD=AC it is shown in diagram so which means AC is bisected</span>
Result:
{x<= -1 or x>= 4 and x belongs to real numbers}
Answer:
- ... construction of parallel lines (parallel to AB through C)
- ... width to IJ
Step-by-step explanation:
Construction of parallel lines is accomplished by copying an angle. Here, the steps shown will result in copying the angle IDJ if the distance IJ is marked on the arc through k, then a line drawn through C and the point just marked.