Answer:
Step-by-step explanation:
3x+6=-5-2x-6
+2x. +2x
5x+6= -5-6
5x+6= -11
-6. -6
5x= -17
divide by 5
x= -3.4
Best to look up the formula for the surface area of a sphere and then find it:
A = 4πr^2, where r is the radius of the sphere. Then,
A = 4π(15 in)^2 = 4(3.14)(225 in^2) = 2826 in^2 (answer)
This is represented by the formula given in the lower left.
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
C. 8 fl oz because 4 fl oz is 1/2 c and 2 pt is 4 c and 4 qt is 16 c