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salantis [7]
3 years ago
13

A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 153 pounds requires

249 milligrams of medicine. What is the amount of medicine required by a patient weighing 102 pounds?
Mathematics
2 answers:
mario62 [17]3 years ago
7 0
Mg required per pound = 249/153 = 1.63mg

Therefore medicine required=  102 *1.63= 166.26g

Sonja [21]3 years ago
5 0

Answer: 166 milligrams

Step-by-step explanation:

Given : A certain medicine is given in an amount proportional to a patient's body weight.

A patient weighing 153 pounds requires 249 milligrams of medicine.

Let x be the amount of medicine required by a patient weighing 102 pounds, then we have the following equation:-

\dfrac{x}{102}=\dfrac{249}{153}\\\\\Rightarrow\ x=\dfrac{249\times102}{153}=166

Hence, the amount of medicine required by a patient weighing 102 pounds = 166 milligrams.

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What part of a<br>a dozen is 8?​
Murljashka [212]

Answer:

\frac{2}{3}

or

0.67

Step-by-step explanation:

a dozen is 12

12/4 = 3

8/4 = 2

8 is 2/3 of a dozen(12)

2/ 3 = 0.66666666666667 which is about 0.67

6 0
3 years ago
Read 2 more answers
What is the measure of m? 6 3 n 18 m = [?] Give your answer in simplest form. Enter​
alina1380 [7]

By solving a system of equations, we will see that m measures 12 units.

<h3>How to get the measure of m?</h3>

Notice that we have 3 right triangles.

Then we can write the equations:

cos(a) = 6/m

For the small triangle on the left, where m is the hypotenuse.

cos(a) = m/(6 + 18)

For the larger triangle (the one composed of the two triangles).

Where in both equations, angle "a" is the one in the top left.

Then we have the system of equations:

cos(a) = 6/m

cos(a) = m/(6 + 18)

Then we can write:

6/m = m/(6 + 18)

If we simplify the expression, we get:

6*(6 + 18) = m^2

6*(24) = m^2

144 = m^2

√144 = m = 12

Then we conclude that m measures 12 units.

If you want to learn more about right triangles:

brainly.com/question/2217700

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8 0
2 years ago
Manita carries a box of mass 40 kg. What is the weight of the box?( g=9.8m/s)<br>​
Lilit [14]

Explanation:

Mass of boy = 40 kg

Mass of box = 20 kg

Total mass = 60 kg

Initial potential energy = 0 (since height would be 0 initially)

Final potential energy = mgh

Taking g as 10 m/s²,

=> 60 × 10 × 15

= 9,000 J

So, work done = final potential energy - initial potential energy

= 9,000 J

Power = Work/Time

=> Power = 9000/25

=> Power = 360 J/s

or 360 watt.

8 0
3 years ago
327 - 184 --------- ?
Alchen [17]
327 - 184 = 143
.....
3 0
3 years ago
The slope of a line is -1/4 and the y-intercept is 8. Whats the x-intercept?
Fed [463]
Slope = -1/4
y-interept = 8
⇒equation:  y = -1/4x + 8

x-intercept ⇒ when y = 0
0 = -1/4x + 8
1/4x = 8
x = 8 x 4 
x = 32

Answer: x-intercept = (32,0)
7 0
3 years ago
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