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Define x and y
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Let x be the amount of the cream (which has 2.5% of hydrocortisone)
Let y be the amount of the water-washable base. (which has 0% of hydrocortisone)
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Construct the 2 equations:
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Both x and y must add up to 120g
⇒ x + y = 120
Both x and y must add up to only 1% of hydrocortisone.
⇒0.025x + 0.0y = 0.01 x 120
⇒0.025x = 1.2
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Solve x and y:
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x + y = 120 ----------------- (equation 1)
0.025x = 1.2 ----------------- (equation 2)
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From equation 2:
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0.025x = 1.2
x = 1.2 ÷ 0.025
x = 48
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Substitute x = 48 into equation 1:
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x + y = 120
48 + y = 120
y = 120 - 48
y = 72
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Answer: 48g of 2.5% of the cream and 72g of the water washable base are needed to make 120g of the prescription.
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Answer:
its either b or d
Step-by-step explanation:
Answer:
number line consists of different numbers at a same distance.
therefore 100/4=25
A=75
B=-50
Formula: V = (2/3) π r 3.
Radius is 3cm.
So, now we can plug it in to solve for the volume.
V = (2/3) π 3^3
First, let's multiply 3^3.
3^3 = 27
Then, 27 x π = 84.82
After, multiply by 2/3.
84.82 x 2/3 = 56.55
Lastly, round 56.55 to the nearest tenth of a cubic centimeter.
56.55 = 56.6
Therefore the volume of a hemisphere with a radius of 3cm is 56.6cm^3.
