Ok so the formula for the volume of a sphere is
r is the radius, which is half the diameter. Since the diameter of the whole sphere is 18 the radius would be half of that, which is 9. If you plug 9 into the formula you get 3052.08in.cubed. Now you must find the volume of the smaller core, the diameter of the core is 3, so the radius is 1.5 and if you plug that into the formula you get 14.13in.cubed. Since you're finding only the volume of the outside layer, you would subtract the volume of the core from the whole sphere, so 3052.08-14.13=3037.95
Your answer is 3037.95in.cubed
It is an algebraic expression and the smallest coefficient is 3
(5+7(x^3)+3(x^2)) + (-12+5x+6(c^2))
-7 + 7x³ + 3x² + 5x + 6c²
Answer:
Step-by-step explanation:
In order to solve this problem, let's first understand what the question is asking.
If we combine Solution A (with 35% salt) and Solution B (with 85% salt), our goal is to create a 40 ounce mixture with 45% salt.
Let's model an equation for this, assuming that a is the amount of ounces of Solution A and b is the amount of ounces of Solution B.
<em>Why?</em> Since 35% of a number is the same as multiplying it by 0.35, we can multiple the total number of ounces by the decimal to find how many ounces of it will contain salt.
We also know that we need 40 ounces of this mixture. Therefore, adding together Solution A and B must get 40:
We can now solve this systems of equations.
Now that we know Solution B needs 8 ounces of mixture, we can substitute it into an equation to solve for a.
Therefore, we need 32 ounces of Solution A and 8 ounces of Solution B.
Hope this helped!