The volume of a cylinder can be found using the formula:
π r² h,
where r is the radius of the circular base and h is the height of the cylinder.
If we plug in the measurements of the cylinder, we get:
π (6²) (28)
When this is simplified, we get that the volume of the cylinder is:
1008π cubic cm
Thus, if each marble has a volume of 36π cubic cm, then to find how many marbles will fit into the vase we must divide the vases total volume by the volume of each marble.
1008π / 36π = 28
Therefore, the answer is D. 28 marbles
Jana was prescribed medication. m = 250(0.75)^h
6 hours after Jana took her medication, Allison was prescribed the same.
m=250(0.75)^(h-6)
<span>At any time after she has taken the medication, Allison has how many times more milligrams of medication in her body?
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Same with Jana, Allison's medication content in her body will decrease by 25% after each hour.
Let h = 6
Jana: m = 250(0.75)^6 = 250(0.178) = 44.50
Allison: m = 250(0.75)^6-6 = 250(1) = 250
250 - 44.50 = 205.50
On hour 6, Allison will have 205.5 mg more of the medicine than Jana.
Either B or C should work. I would go with B, though.
Four times the sum of a number and 15 is at least 120
Let ‘x’ represent the number.
"The sum of a number and 15"
This can be written mathematically as x + 15
Given that 4 times this sum is at least 120,
This means that 4 times the sum is greater than or equal to 120
This can be written mathematically as 4(x + 15) >= 120
Solving for x
4(x + 15) >= 120
4x + 60 >= 120
4x >= 120 – 60
4x >= 60
x >= 60/4
x >= 15
x is greater than or equal to 15
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