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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:
4
Explanation:
Since the third term is the sum of the two previous terms
Continuing in like manner
Since
Recall:
The sequence is therefore:
8,-5,3,-2,1,-1,0
The sum of the seven numbers is 4.
2ax + 1 = ax + 5
First, subtract 1 from both sides. / Your problem should look like: 2ax = ax + 5 - 1
Second, simplify ax + 5 - 1 to ax + 4. / Your problem should look like: 2ax = ax + 4
Third, subtract ax from both sides. / Your problem should look like: 2ax - ax = 4
Fourth, simplify 2ax - ax to ax. / Your problem should look like: ax = 4
Fifth, divide both sides by a. / Your problem should look like: x =

Answer:
x =
Answer:
Step-by-step explanation:
We can write our unknown number like x
four less than the quotient of a number cubed and seven, increased by three

five times the difference of a number squared and six

nine more than the quotient of six and a number cubed, decreased by four

twice the difference of nine and a number squared

Answer:
a) when x = Raw Score: 42
Standard deviation = σ = -10.3
b) Raw Score: 81
Standard deviation = σ = 2.67
Step-by-step explanation:
Find the standard deviation if the mean of a sample is 72, a z-score of 3
Z score formula is given :
z = (x-μ)/σ,
where
x is the raw score
μ is the population mean = 73
σ is the population standard deviation
z = 3
a) when x = Raw Score: 42
z = (x-μ)/σ
3 = 42 - 73/σ
Cross Multiply
3σ = 42 - 73
3σ = -31
σ = -31/3
σ = -10.3
b) Raw Score: 81
z = (x-μ)/σ
3 = 81 - 73/σ
Cross Multiply
3σ = 81 - 73
3σ = 8
σ = 8/3
σ = 2.67