Since the lines are perpendicular the opposite angle of labeled is also 60° and so would the two angles on the the lower just opposite way therefore 8x-4=60
-4 -4
8x=56
/8 /8
X=7
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
Answer:
-6x+12
-9+5a
7x+63
8y-4/5x-12
Step-by-step explanation:
To solve these all you have to do is take the number outside of the parenthesis and multiply them by each term.
-3(2x)-3(-4) All I did here was expand the problem to show what i mean by terms.
-6x+12
Do this for each problem.
0.1(-90)+0.1(50a)
-9+5a
-7(-x)-7(-9) For this one you are taking negatives times negatives so each answer will be positive.
7x+63
4/5(10y)+4/5(-x)+4/5(-15)
8y-4/5x-12
0.04 because if you divide it you get 0.04
