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OLEGan [10]
2 years ago
8

You are a pharmacy technician. You need to prepare a 0.85-gram dose of a liquid antibiotic. The medicine is concentrated at 250

milligrams of antibiotic per 5 milliliters of liquid. How many milliliters should you pour into a prescription bottle?
Mathematics
2 answers:
Xelga [282]2 years ago
5 0

Answer:

17mL

Step-by-step explanation:

Convert 0.85 gr to miligrams

If 100 mg is 1 gr. Then, 0.85 gr is 850 mg

So, 850 multiply for 5ml and divide for 250 ml

or 850mg  \frac{5ml}{250mg}

So all mg is gone and the amount of mililiters is 17

Mademuasel [1]2 years ago
3 0

Answer:

17 milliliters of dose should be poured into a prescription bottle.

Step-by-step explanation:

Amount of dose in liquid antiboitic = 0.85 g = 850 mg

1 g = 1000 mg

Concentration of antibiotic = 250 mg/5 ml = 50 mg/mL

So, in 1 mL of liquid we have 50 mg of antibiotic.

Then in 0.85 mg of antibiotic will be:

\frac{1}{50}\times 850 mL=17 mL

17 milliliters of dose should be poured into a prescription bottle.

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Please help<br><br>numbers 42, 43, 44
Aleks [24]
<h3>Answer:</h3>

42.  29°

43.  3x³ +2x² -3x +10

44.  20a² +68a

<h3>Step-by-step explanation:</h3>

42.  The right-angle corner tells you the two marked angles are complementary — they sum to 90°.

  (-3x +20)° + (-2x +55)° = 90°

  -5x +75 = 90 . . . . . . . . . . collect terms, divide by °

  -5x = 15 . . . . . . . . . . . . . . . subtract 75

  x = -3 . . . . . divide by the coefficient of x

The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...

  (-3·(-3) +20)° = 29° = m∠BDC

___

43.  The distributive property is useful for multiplying polynomials.

  (x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)

  = 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses

  = 3x³ +2x² -3x +10

___

44.  Area is the product of length and width, so this becomes a problem in multiplying polynomials.

  area = (5a +17)(4a) = 20a² +68a . . . . area in square feet

3 0
2 years ago
Suppose that A, B, C, are independent random variables, each being uniformly distributed over (0, 1). (a) What is the joint cumu
Gekata [30.6K]

Answer:

a)  F (A , B,C)(a,b,c) = abc

b) Answer is in derivative

Step-by-step explanation:

Hence area is maximum x=6

For ( a,b,c) ∈ (0,1)

We have that      

F A, B,C (a,b,c) = A≤ a , B≤ b , C≤c

                        =P (A≤a) P (B≤b) P (C≤c)

A , B, C ≈ unit  (0,1) we have that

  P (A≤a) =a

 P (B≤b) =b

   P (C≤c)=c

Thus

F (A , B,C)(a,b,c) = abc

b) Answer is in derivative

5 0
2 years ago
A random survey of the quality of city park is taken.sixty-five percent of the people surveyed were pleased with the condition o
Maurinko [17]

Answer:

280 people

Step-by-step explanation:

Given that 65% of people surveyed were pleased with condition of the park.

Given that those pleased were 182 people, then finding the total number of people surveyed will be;

65%= 182 people

100%= ?--------------------cross multiply

\frac{65}{100} *x=182\\\\\\65x=18200\\\\\\x=\frac{18200}{65} \\\\\\x=280

7 0
2 years ago
Read 2 more answers
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M’N’O’P’Q’.
N76 [4]
Answer:
slope of M'N' = 1

Explanation:
First, we will need to get the coordinates of points M' and N':
We are given that the dilation factor (k) is 0.8
Therefore:
For point M':
x coordinate of M' = k * x coordinate of M 
x coordinate of M' = 0.8 * 2 = 1.6
y coordinate of M' = k * y coordinate of M
y coordinate of M' = 0.8 * 4 = 3.2
Therefore, coordinates of M' are (1.6 , 3.2)

For point N':
x coordinate of N' = k * x coordinate of N 
x coordinate of N' = 0.8 * 3 = 2.4
y coordinate of N' = k * y coordinate of N
y coordinate of N' = 0.8 * 5 = 4
Therefore, coordinates of M' are (2.4 , 4)

Then, we can get the slope of M'N':
slope = (y2-y1) / (x2-x1)
For M'N':
slope = (3.2-4) / (1.6-2.4)
slope = 1

Hope this helps :)
8 0
2 years ago
Jose is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold
emmasim [6.3K]

Answer:

No. of large rooms = 7

No. of small rooms = 14

Set of equations

4x + 3y = 70  

y = 2x

Variable definitions

No. of large rooms is x

No. of small rooms is y

Step-by-step explanation:

capacity of large rooms = 4 people

let the no. of large rooms be x

thus, total no of people which can be accommodated in x rooms = 4*x = 4x

capacity of small rooms  = 3 people

let the no. of small rooms be y

thus, total no of people which can be accommodated in y rooms = 3*y = 3y

total no. of people which can be accommodated in x large room and y small room will be = 4x + 3y

It is given that total small room and large room can accommodate 70 guests

thus,

4x + 3y = 70        _________equation 1

_________________

It is also given that Jose reserved twice as many small rooms as large rooms,

so, if no. of large rooms is x  and no. of small rooms is y

then

y = 2x        _________equation 2

substituting value of y in equation 1 we have

4x + 3(2x) = 70  

=>4x + 6x = 70  

=> 10x = 70

=> x = 70/10 = 7

No. of large rooms = 7

No. of small rooms = y= 2x = 2*7 = 14

Set of equations

4x + 3y = 70  

y = 2x

Variable definitions

No. of large rooms is x

No. of small rooms is y

8 0
2 years ago
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