Answer:
The shortcuts is
Divide number of units by 100
Step-by-step explanation:
From the question we are told that
insulin u-100 is ![L = 100 \ unit /mL](https://tex.z-dn.net/?f=L%20%20%3D%20%20100%20%5C%20unit%20%2FmL)
From the data given above we see that
100 units of insulin u-100 is contained in 1 mL
So 1 unit of u-100 is contained in x mL
=> ![x = \frac{1}{100} \ mL](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B1%7D%7B100%7D%20%5C%20%20mL)
This means that a unit of insulin u-100 occupies ![x = \frac{1}{100} \ mL](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B1%7D%7B100%7D%20%5C%20%20mL)
So we can represent a single unit of insulin u-100 as ![\frac{1}{100} \ mL](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B100%7D%20%5C%20%20mL)
Now if 1 unit of insulin u-100 is represented as ![\frac{1}{100} \ mL](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B100%7D%20%5C%20%20mL)
Then y unites of insulin u-100 is represented as z
So
![z = \frac{y}{100} \ mL](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7By%7D%7B100%7D%20%20%5C%20%20mL)
From the above calculation we can see that the shortcuts to convert u-100 insulin given in units, to mL is to divide number of units by 100
Say you have the number:
3,347
You can round it to the nearest thousand by figuring out whether 347 turns out to be closer to 0 or 1,000. If it's closer to 0, you round to the nearest thousand by producing the result 3,000. Since 347 is closer to 0, it would be incorrect to round the number 3,347 to the nearest thousand by producing the result 4,000.
In this case you round to the nearest thousand by producing the result 3,000.
Answer:
y=30
Step-by-step explanation:
Option E:
The value of m that makes the inequality true is 5.
Solution:
Given inequality is 3m + 10 < 30.
Let us first simplify the expression.
3m + 10 < 30
Subtract 10 from both side of the equation.
3m < 20 – – – – (1)
<u>To find the value of m that makes the inequality true:</u>
Option A: 20
Substitute m = 20 in (1),
⇒ 3(20) < 20
⇒ 60 < 20
It is not true because 60 is greater than 20.
Option B: 30
Substitute m = 30 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option C: 8
Substitute m = 8 in (1),
⇒ 3(8) < 20
⇒ 24 < 20
It is not true because 24 is greater than 20.
Option D: 10
Substitute m = 10 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option E: 5
Substitute m = 5 in (1),
⇒ 3(5) < 20
⇒ 15 < 20
It is true because 15 is less than 20.
Hence the value of m that makes the inequality true is 5.
Option E is the correct answer.