How to solve 2(-3x + 4) = 5x + 2
1 answer:
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Answer:
A. 14 times
B. 5 times.
Step-by-step explanation:
We know the volume of the sink, now we need to find the volume of the cup(s) he's using to empty it out.. to find out how many scoops he'll have to do.
We'll assume he can actually empty it all, even if it's unlikely he can scoop the last 5%-10% of it due to the shapes/sizes of the sink and the cup. We'll also assume he completely fills the cup (which is impossible due to angles).
The volume of the sink is 3000/3 π cubic inches, let's simplify that as 1000 π cubic inches.
a - Cylindrical cup, diameter 6 inches, height: 8 inches.
We remember the volume of a cylinder is found using this formula:
V = π r²h
So, we have:
V = π * 3² * 8 = 72π
So, how many times does Michael has to scoop (S):
Of course, he can't scoop 0.83 times... so we'll round it up.
So, Michael will have to scoop 14 times with this first cup.
b - Cylindrical cup, diameter 10 inches, height: 8 inches.
We remember the volume of a cylinder is found using this formula:
V = π r² h
So, we have:
V = π * 5² * 8 = 200π
So, how many times does Michael has to scoop (S):
So, Michael will have to scoop 5 times with this second cup, which is not surprising since the volume of the second cup is nearly the triple of the first one.