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4 years ago

8(-10)okayokyaolkaakakak

Mathematics

1 answer:

maks197457 [2]4 years ago

4 0

Answer:

-80

Step-by-step explanation:

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Snape has 2000 mL of a magic potion solution that is 30% DeMuggle Juice. He also has hundreds of 25 mL bottles that are full of

ELEN [110]

Answer:

Step-by-step explanation:

We use the equation for the percentage of solute concentration in a solution:

$volume percent = \frac{volume of solute}{volume of solution} * 100$ (1)

In this case the equiation (1) is transformed into:

$34 = \frac{Total volume of DeMuggle juice}{Total volume of the magic potion} * 100$ (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):

$34 = \frac{600 + 18.75*n }{2000 + 25*n} *100$

$\frac{34}{100} (2000 + 25*n) = (600 + 18.75* n)$

$680+8.5*n=600+18.75*n$

$80 = 10.25*n$

$n = 7.8$

Since the number of times the wand should be waved must be an integer, it approximates 8

Replacing n=8 in (1)

$\frac{600+(18.75*8)}{2000+(25*8)} *100 = 34.0909$

6 0

4 years ago

Find the horizontal asymptote of the graph

sleet_krkn [62]

$y = - \frac{1}{2}$

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4 years ago

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barxatty [35]

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4 years ago

Bob and Mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum

DaniilM [7]

I have answered this question before.

Given:
Bob has three kids whose ages has the product of 72. I will only be able to give you a set of 3 numbers to represent the ages. Had the sum of the ages been given, the specific ages would be provided.

I just did a prime factorization of 72.

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 =   9
9 ÷ 3 = 3
3 ÷ 3 = 1

1 x 2 x 2 x 2 x 3 x 3 = 72   ⇒ 2³ x 3²

There are a lot of possible combinations, here are a few.

1 x 8 x   9 = 72    ⇒ 1 + 8 + 9 = 18
1 x 4 x 18 = 72 ⇒ 1 + 4 + 18 = 23
<span>2 x 4 x   9 = 72 ⇒ 2 + 4 + 9 = 15</span>

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4 years ago

Write 1/8y=-3/4x-1 in standard form

barxatty [35]

The standard form of a line:

$Ax + By = C$

$\dfrac{1}{8}y=-\dfrac{3}{4}x-1\ \ \ \ |\text{multiply both sides by 8}\\\\\not8^1\cdot\dfrac{1}{\not8_1}y=\not8^2\cdot\left(-\dfrac{3}{\not4_1}\right)x-1\\\\y=2(-3x)-1\\\\y=-6x-1\ \ \ \ |\text{add 6x to both sides}\\\\\boxed{6x+y=-1}$

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