Answer:
First brand = 18 gallons
Second brand = 12 gallons
Step-by-step explanation:
Let the first brand brand be A and the second brand be B.
Thus, since he wants to obtain 30 gallons of a mixture that contains 30% pure antifreeze, then we have;
A + B = 30 - - - (eq 1)
Also; The first brand is 20% pure antifreeze, and the second brand is 45% pure antifreeze. Thus;
0.2A + 0.45B = (0.3 × 30)
0.2A + 0.45B = 9 - - - (eq 2)
From eq 1, we have; A = 30 - B
Put 30 - B for A in eq 2;
0.2(30 - B) + 0.45B = 9
6 - 0.2B + 0.45B = 9
0.25B = 9 - 6
0.25B = 3
B = 3/0.25
B = 12
Thus, A = 30 - 12 = 18 gallons
Your answer to the question is 2,700cm
Hello,
Answer B
y=-x^4+1
y'=-4x^3
y"=-12x² is always <0 : concavity downside.
"The chemical is dispensed to completely fill 25 identical cylindrical containers"
So obviously the volume of each is 1/25 of the whole volume, right? So you know V for one of these cylinders.
"each with a radius of 5 in"
V = pi*r^2*h
<span>You know V. You know r. Plug them in. Solve for h. Should take one line.
</span><span>235,500 /25 = 9420 is the volume of 1 cylinder.
</span>h <span>=</span><span>V/</span><span>π</span><span>r</span><span>2</span><span>
</span>h ≈119.94
