Answer:
4.5 sq. units
Step-by-step explanation:
area = -⅓x³+3/2 x² ] 0 to 3
= -⅓(3)³+ 3/2 (3)² -0
= -9 + 27/2
= -9 + 13.5
= 4.5 sq. units
Wow, that IS really BRAINLY! I’m so jealous
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
This is an increase of 3 yards.
