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Y_Kistochka [10]
3 years ago
15

Problem Page

Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0

Answer:

425 mm


Step-by-step explanation:

The ratio of compound A to compound B is 5 is to 6.

So, we can say that the total ratio is of 11 parts (5+6=11).

<em><u>If the chemist wants a total of 935 mm of the drug, then each of the 11 parts are worth:</u></em>

\frac{935}{11}=85


<em>From the ratio, we know that Compound A is 5 parts. So:</em>

85*5=425

425 mm of Compound A is needed.

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Which number produces an irrational number when multiplied by 1/3
MArishka [77]

We can simply observe that.

  1. 0.777... is rational, because it is a number with infinite but repeating decimal part.
  2. 1/3 is rational, because it's the division between two integers
  3. -\sqrt{16}=-4, so this is rational as well.

Since the product of two rational numbers is always rational, we have that

0.\bar{7}\cdot \dfrac{1}{3},\quad \dfrac{1}{3}\cdot \dfrac{1}{3},\quad -4\cdot \dfrac{1}{3}

are all rationals, since they are the product of two rationals.

On the other hand, we have

\sqrt{27}=\sqrt{9\cdot 3}=3\sqrt{3}

and thus

3\sqrt{3}\cdot \dfrac{1}{3}=\sqrt{3}

which is irrational.

3 0
3 years ago
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posledela
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3 years ago
Use the quadratic formula to solve x2 + 2x - 120 = 0. Think about what other method could also be used to solve this equation. a
pshichka [43]

Answer:

x = 10 , -12

Step-by-step explanation:

Solution:-

- The given quadratic equation is to be solved using the quadratic formula. The general form of a quadratic equation is:

                           ax^2 + bx + c =0  

Where, [ a , b and c are constants ]

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                           x = \frac{-b+/-\sqrt{b^2 - 4*a*c} }{2a}

- The given equation is:

                             x^2 + 2x - 120 = 0

Where, a = 1 , b = 2 , c = -120

- Solve using quadratic formula:

                       x = \frac{-2+/-\sqrt{2^2 - 4*1*(-120)} }{2*1}\\\\x = \frac{-2+/-\sqrt{4 + 480} }{2}\\\\x = \frac{-2+/-(22) }{2}\\\\\\x = 10 , -12    

7 0
3 years ago
The yearbook club had a meeting. the meeting had 18 people, which is one half of the club. how many people are in the club
Dmitry_Shevchenko [17]

Answer:

36 people

Step-by-step explanation:

If the yearbook club had 1/2 the participants attend the meeting, than all of them would be represented by 18 x 2, or 36 (since two halves make a whole)

8 0
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Softa [21]

Answer:

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Step-by-step explanation:

6 0
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