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nekit [7.7K]
3 years ago
6

Find the equation of the line perpendicular to 2x + 3y = -5 and

Mathematics
1 answer:
RUDIKE [14]3 years ago
3 0

Answer:

3, -5

Step-by-step explanation: took the test

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---------------------------------------------
Define x and y
---------------------------------------------
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)

---------------------------------------------
Construct the 2 equations:
---------------------------------------------
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

---------------------------------------------
Solve x and y:
---------------------------------------------
x + y = 120    ----------------- (equation 1)
0.025x = 1.2  ----------------- (equation 2)

---------------------------------------------
From equation 2:
---------------------------------------------
0.025x = 1.2
x = 1.2 ÷ 0.025
x = 48 

---------------------------------------------
Substitute x = 48 into equation 1:
---------------------------------------------
x + y = 120  
48 + y = 120
y = 120 - 48
y = 72

-------------------------------------------------------------------------------------------------------
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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