Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
<h3>
Answer: -3</h3>
Work Shown:
g(x) = -x+2
g(5) = -5+2 ... replace every x with 5
g(5) = -3
Basically, all you have to do is count how many 6 's you have and then write 6^4. Which is 6 to the fourth power.
Answer: 306
- 9 goes into 54 6 times
- 9 does not go into 7 (0)
- goes into 27 3 times
Answer:
The change in elevation=2,400 feet
Step-by-step explanation:
The expression to determine the change in elevation after 6 minutes is a s follows;
D=S×T
where;
D=change in elevation in feet
S=speed/ descending rate
T=time
In our case;
D=unknown
S=400 feet/minute
T=6 minutes
replacing;
D=400×6=2,400 feet
The change in elevation=2,400 feet
