Answer: -11m-8
Step-by-step explanation: first you would distribute (m+1) into -8 causing it to be -3m-8m-8 you then combine like terms getting you -11m-8
---------------------------------------------
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.
-------------------------------------------------------------------------------------------------------
Answer: +/- 7
Step-by-step explanation:
3x² = 147
To solve for x divide through by three first.
3x² = 147
x² = 49, now we take the square root of both side by trying to apply laws of indices.
√x² = √49
The square root will neutralize the effect of the square because
√a = a¹/² so (x²)¹/², and (x²)¹/² =
x²×¹/² = x, therefore the solution is
x = +/- 7.
I’m not rlly sure if i did it right & i’m sorry if i didn’t. i used the FOIL method
f= first to first
o=outer to outer
i=inner to inner
l= last to last
so it’d be
8b + 6b = 14b (f)
8b+ 8=16b(o)
-7+6b=-1b(i)
-7+8(l)
and then you add like terms so
[14b+16b-1b]+1
= 29b+1
The answer is 8 because you count all the numbers exept the fractions the fractions you count as one number
