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Lunna [17]
3 years ago
11

Approximately 0.02% of a 100-mg dose of the drug miglitol (Glyset) has been shown to appear in human breast milk. Calculate the

quantity of drug detected, in milligrams, following a single dose.
Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0

Answer:

Following a single dose, 0.02mg of the drug is detected.

Step-by-step explanation:

Percentage problems can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

Calculate the quantity of drug detected, in milligrams, following a single dose.

The quantity is 0.02% of 100mg. So:

100mg - 100%

xmg - 0.02%

100x = 100*0.02

x = \frac{100*0.02}{100}

x = 0.02mg

Following a single dose, 0.02mg of the drug is detected.

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(5 x 8 - 12)(36 : 9 x 4)
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= 28 x 16
= 448
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3 liters of water are shared equally by 5 people how much water does each person get?
emmasim [6.3K]
3/6 so 1/2 litre …….. (dots are for the 20 character limit)
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A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A
Afina-wow [57]

Answer:

13.86 ft/sec

Step-by-step explanation:

If we let x = distance batter has run at time t and  D = distance from second base to the batter at  time t, then we know \frac{dx}{dt}=31 ft/s and we want \frac{dD}{dt} when he is halfway (at x = 45).

Using Pythagoras theorem

D^2=90^2+(90-x)^2\\\text{Differentiating with respect to t}\\2D\frac{dD}{dt}=0+2(90-x)(-1)\frac{dx}{dt}\\2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}

When x=45

D^2=90^2+(90-x)^2\\D^2=90^2+(90-45)^2\\D^2=10125\\D=\sqrt{10125}

2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}\\2\sqrt{10125}\frac{dD}{dt}=-2(90-45)(31)\\\frac{dD}{dt}=\frac{-2(45)(31)}{2\sqrt{10125}} =-13.86ft/s

Thus, when the batter is halfway to first base, the distance between second base and the batter is  decreasing at the rate of about 13.86 ft/sec.

4 0
3 years ago
SOMEONE HELP ????<br><br> Select steps that could be used to solve the equation 1+ 3x = -x+4
Alex

Answer:

a) add x , subtract 1 and divide by 4

The solution of given equation x = \frac{3}{4}

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

Given equation  1+3 x  = -x +4

                <em>  Add 'x' on both sides , we get</em>

                     1 + 3 x + x = - x + x +4

                     1 + 4 x  = 4

      <em>  Subtract '1' on both sides , we get</em>

<em>                     1+4 x -1 = 4 -1</em>

                         4 x = 3

<em>       Dividing '4' on both sides, we get</em>

                          \frac{4x}{4} = \frac{3}{4}

                          x = \frac{3}{4}

<u><em>Final answer</em></u>:-

<em>The solution of given equation </em>x = \frac{3}{4}<em></em>

5 0
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A restaurant chain wants to change their oil from peanut oil to canola oil in order to save money. However, the restaurant wants
yulyashka [42]

Answer:

yes

Step-by-step explanation:

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3 years ago
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