Answer:
8
Step-by-step explanation:
We use the equation for the percentage of solute concentration in a solution:
(1)
In this case the equiation (1) is transformed into:
(2)
n = number of times he must waves his wand to have a solution that is at least 34% DeMuggle juice.
Vpo = Initial volume of the magic potion = 2000ml
Vjo= Initial volume of DeMuggle juice = 30% * Vpo = (0.3)2000 = 600ml
Vb= Volume of a bottle = 25ml
Vjb = DeMuggle juice volume in a bottle = 75% * Vb = (0.75)25= 18.75ml
Vpmt = Total volume of the magic potion = 2000 + 25*n = Vpo + Vb * n
Vjt = Total volume of DeMuggle juice = 600 + 18.75*n = Vjo + Vjb * n
Replacing in (2):
Since the number of times the wand should be waved must be an integer, it approximates 8
Replacing n=8 in (1)
Answer:
Step-by-step explanation:
Given
Required
Reflect over
This means that we reflect over the x-axis
And the rule of reflection is:
Hence:
Will become:
So, we have:
Answer:
437.3 ft
Step-by-step explanation:
90-29=61
sin(61)=0.87461...
sin(61)=x/500
sin(61)*500 = x
X+y=9
x-y=7
Sum them together (to eliminate y) and you get:
x+y+x-y=9+7
2x=16
x=8
Plug x into either of the equations and you get that y=1
Answer:
1.) 342
2.) 342.23
Step-by-step explanation:
1.) The rounded numbers are 16, 216, and 110. To get the sum you simply add them together, getting 342.
2.) Once again, to find the sum you simply add all the numbers given to you together, getting 342.23.