He will mix some 20% solution and some 70% solution to make 60% solution.
Let x = number of liters of 20% solution.
Let y = number of liters of 70% solution.
He wants to make 50 liters of 60% solution, so
x + y = 50 First Equation
The amount of acid in x amount of 20% solution is 20% of x, or 0.2x
The amount of acid in y amount of 70% solution is 70% of y, or 0.7y
The amount of acid in 50 liters of 60% solution is 60% of 50 liters, or 0.6 * 50 = 30
Now we add the amounts of acid.
0.2x + 0.7y = 30 Second Equation
x + y = 50
0.2x + 0.7y = 30
-0.2x - 0.2y = -10
0.2x + 0.7y = 30
------------------------
0.5y = 20
y = 40
x + y = 50
x + 40 = 50
x = 10
Answer: He needs 10 liters of 20% solution and 40 liters of 70% solution.
Answer:
x=22
Step-by-step explanation:
To find out, graph them, analyze, and check.
Graph them.
You get the graph below.
Check the answers.
It looks like B matches.
So, the answer is B.
Answer:
C
Step-by-step explanation:
I think I will answer the question the your attachment because it has full information.
The function is: y = 3*
a. The function decreases
Wrong, because the base number is 2 and it is greater than 0. The function will go up
b. y=intercept of (0.2)
Wrong, Let substitute x =2 into the function: y = 3*
= 12
c. if x increase by 1, the value of y will double
Because the base number is 2. For example:
- If x = 2, y = 3*
= 12
- If x =3, y =3*
=(3*
*)2 = 24
d. contains the point (2,4)
Wrong, Let substitute x =4 into the function: y = 3*
= 48
So we choose C