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stira [4]
3 years ago
6

A patient has been ordered 750 mg/day of medication that is available in tablets of 75mg each. The nurse will administer a dosag

e of 2 tablets, every 3 hours. If the first dose is administered at 6am, when will the last dose be administered?
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

Answer:

The last dose will be administered at 6 P.M.

Step-by-step explanation:

This problem can be solved by direct rule of three.

The problem states that each tablet has 75mg of medication, and that every 3 hours, 2 tablets are administered.

So

1 tablet - 75mg of medication

2 tabets - xmg of medication

x = 150mg

It means that in each dose, 150mg of medication are administed.

At 6am, as the first dose is administered, the patient will have taken 150mg of medication. In how many doses will the patient have been administed 750mg?

1 dose - 150mg

x doses - 750mg

150x = 750

x = 5 doses.

The doses are administed in intervals of 3 hours. After the first dose, there will be 4 doses remaining. So it will take 4*3 = 12 hours to administer 4 doses.

So, if the first dose is administed at 6am, the last is going to be administed at 6h+12h = 18h = 6P.M.

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Answer:

2520 ways

Step-by-step explanation:

We can solve this problem with 3 combinations:

First the teacher needs to give 3 fruit snacks to 10 students, so we have a combination of 10 choose 3: C(10,3) = 10! / (3! * 7!) = 120

Then, she needs to give 2 teddy grahams to 7 students (3 already got a snack), so a combination of 7 choose 2: C(7,2) = 7! / (2! * 5!) = 21

The, she gives the 5 granola bars to the other 5 students, so a combination of 5 choose 5: C(5,5) = 1.

Now we just need to multiply the combinations to find the result:

C(10,3) * C(7,2) * C(5,5) = 120 * 21 * 1 = 2520 ways

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3 years ago
If vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at and vertex B' is at .
Serggg [28]

Answer:

Vertical translation is along the y axis while horizontal translation is along the x-axis.

Vertex A' is at (-1 - 3, 2 + 6) = (-4, 8)

Vertex B' is at (1 - 3, 5 + 6) = (-2, 11)

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Step-by-step explanation:

8 0
3 years ago
A rectangular field has an area of 162 m2.
Fed [463]

Answer:Length: 27m

Step-by-step explanation:

  1. the formula of area of rectangle is : width*length
  2. so we just replace the values in the formula
  3. 162=6*Length
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3 0
3 years ago
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Margaret is certain that every time she parks in the municipal garage it costs her at least $ 2.50. if the garage charges 40cent
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3 years ago
A piece of cardboard is 1 meter by 1/21/2 meter. A square is to be cut from each corner and the sides folded up to make an open-
12345 [234]

Answer:

The maximum dimensions of the box:

Length of the box  = 0.788676 m

Breadth of the box  = 0.288676 m

Step-by-step explanation:

Original piece of cardboard is a square with sides of length s.

Length of the card board = l = 1 m

Breadth of cardboard = b = 1/2 m = 0.5 m

Squares with sides of length x are cut out of each corner of a rectangular cardboard to form a box.

Now, length of the box = L = 1 - 2x

And breadth of the box = B = 0.5 - 2x

Height of the box ,H = x

Volume of the box ,V= L × B × H

\frac{dV}{dx}=\frac{(1 -2x)(0.5-2x)x}{dx}

\frac{dV}{dx}=\frac{d(0.5x-3x^2+4x^3)}{dx}

\frac{dV}{dx}=0.5-6x+12x^2

\frac{dV}{dx}=O

x = 0.394338  , 0.105662

\frac{d^2V}{(dx)^2}=-6+24x

When , x=0.105662 , \frac{d^2V}{(dx)^2} (maxima)

The maximum dimensions of the box:

Length of the box = L = 1 - 2x = 1 - 2(0.105662) m = 0.788676 m

Breadth of the box = B = 0.5 - 2x = 0.5 - 2(0.105662) m = 0.288676 m

6 0
3 years ago
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