Answer:
Here is the continuation to the question ; The buoyant force is the difference between the fluid forces on the top and bottom of the solid. (The weight-density of water is 62.4 pounds per cubic foot.)
Hence, bouyant force is calculated as = 11980.8lb
Step-by-step explanation:
The steps are as shown in the attachment.
cups of the 10% sugar solution
cups of the 30% sugar solution
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Work Shown:
x = number of cups of the 10% solution
y = number of cups of the 30% solution
The two mixes add together to get 8 cups since this is the total amount we want. Therefore, the first equation is simply x+y = 8
Solve for y to get y = 8-x. We'll use this equation later.
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The second equation is a bit more tricky.
0.10x = amount of pure sugar from just the 10% batch
0.30y = amount of pure sugar from just the 30% batch
0.10x+0.30y = total amount of pure sugar from both batches
25% of 8 = 0.25*8 = 2 = total amount of pure sugar required
0.10x+0.30y = 2 is the second equation
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Apply substitution to solve for x and y
0.10x+0.30y = 2 ..... start with the second equation
0.10x+0.30(8-x) = 2 ....... plug in y = 8-x
0.10x+2.4-0.30x = 2 ..... distribute
-0.20x + 2.4 = 2
-0.20x = 2-2.4 ....... subtract 2.4 from both sides
-0.20x = -0.4
x = -0.4/(-0.20) ..... divide both sides by -0.20
x = 2
Now that we know the value of x, we can find y.
y = 8-x
y = 8-2 ... plug in x = 2
y = 6
So we need 2 cups of the 10% solution and 6 cups of the 30% solution.
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As a check,
x+y = 2+6 = 8 works out
0.10*x+0.30*y = 0.10*2+0.30*6 = 0.2+1.8 = 2 works out as well
Answer: C
<u>Step-by-step explanation:</u>
Replace x with and solve.
f(x) = 3x² - 6x - 1
f() = 3(
)² - 6(
) - 1
= 3() + 4 - 1
= + 3
= +
=