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Mrrafil [7]
3 years ago
10

A pharmacist needs to combine a mixture for a patient. She uses 5 mg of antibiotic for 25 mg of the mixture. If the patient need

s 100 mg of the mixture, how much antibiotic should the pharmacist use?
20 mg
30 mg
80 mg
120 mg
500 mg
Mathematics
1 answer:
Kitty [74]3 years ago
8 0

Answer:

20 mg

Step-by-step explanation:

5/25 mg

multiply 25 by 4 to get 100 so also multiply 5 by 4 to get 20 mg of the antibiotic.

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How many gallons of a 90% antifreeze solution must be mixed with 90 gallons of 20% antifreeze to get a mixture that is 80% antif
lozanna [386]

Answer:

540

Step-by-step explanation:

Amount of antifreeze in the 90% solution + amount of antifreeze in the 20% solution = amount of antifreeze in the 80% solution

0.90 x + 0.20 (90) = 0.80 (x + 90)

0.90 x + 18 = 0.80 x + 72

0.10 x = 54

x = 540

You need 540 gallons of 90% antifreeze solution.

7 0
3 years ago
Suppose we are testing the null hypothesis H 0 mu=20 and the alternative H iu =20 , normal population with sigma=6 A random samp
cupoosta [38]

Answer:

The value of the test statistic is z = -1.5

Step-by-step explanation:

The formula for the test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the statistic, \mu is the mean, \sigma is the standard deviation and n is the number of observations.

In this problem, we have that:

\mu = 20, X = 17, \sigma = 6, n = 9

So

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{17 - 20}{\frac{6}{\sqrt{3}}}

z = -1.5

The value of the test statistic is z = -1.5

8 0
3 years ago
Which expression are equal to the value of 3 in the number 14,397
Irina-Kira [14]

Answer:

300

Step-by-step explanation:

This is a place value problem.

 The given figure is;

                14, 397:

Pronounced as;

Fourteen thousand, three hundred and ninety seven:

          14, 397;

                     10 000     ten thousand

                       4000      four thousand

                          300      three hundred

                            90       ninety

                              7         seven

The place value of 3 is hundreds.

6 0
3 years ago
A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in
Tems11 [23]

Answer:

y = -2x -3

Step-by-step explanation:

- the altitude trough F is a perpendicular line to the line DE

- find slope of line DE

D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)

slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2

-find equation of the altitude trough F

lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)

y= -2x +b , for point F(1, -5)

-5 = -2*1 +b, add 2 to both sides

-5 +2 = b, combine like terms

-3 =b

equation of the altitude trough F is y = -2x -3

4 0
3 years ago
The _______ form of a quadratic equation is written y = a(x - h)2 + k.
uranmaximum [27]

its wrong

Step-by-step explanation:

5 0
3 years ago
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