24.11.2022

R and S represent positive integers on a number line and R< S. Which of the following could be the
positions of R and S ? Is it a, b,c, d

. 8

Faq

Mathematics
Step-by-step answer
P Answered by PhD

D. Assign the integers 00 through 84 to people with Rh positive blood and the integers 85 through 99 to people with Rh negative blood.

Step-by-step explanation:

If you want to simulate a percentage, you need to have 100 possible events. If you use 1-100, the range will be 1-85 for positive and 86-100 for negative. Looking at the option its all using 99 as the ceiling, so we use 0-99. Since we use 0, then you have to subtract 1 on the number range. There are 85% chance of Rh-positive, so the assigned number will be  

1 through 85

(1-1) through (85-1)

0 through 84

The range for Rh-negative will be:

86 through 100

86-1 through  100-1

85 through 99

Option B is wrong because it assigns 00 through 84 to people with Rh negative blood, not Rh-positive. The right answer will be option D.

Mathematics
Step-by-step answer
P Answered by PhD

a + b ≥ 30  b ≥ a + 10

Step-by-step explanation:

Step 1: Define

+a

+b

b is the bigger integer

Step 2: Write inequalities

"The sum of two positive integers, a and b, is at least 30."

This means that the combined value, a + b, must be greater than or equal to, ≥, 30.a + b ≥ 30

"The difference of the two integers is at least 10."

We know that the difference must be positive, as it has to be at least, ≥, 10.Since b is the greater number, a must be subtracting from it, or else we would get a negative numberb - a ≥ 10b ≥ a + 10
Mathematics
Step-by-step answer
P Answered by Specialist

The system of inequalities which represent the value of a and b are          b + a < 30   and    

b - a < 10    

Step-by-step explanation:

Given as :

Statement first

The sum of two positive integers, a and b, is at least 30.

Statement second

The difference of the two integers is at least 10.

Now, According to question , b is the greater integer

So, From statement first

b + a < 30

And , From statement second

b - a < 10

So, from the two given statements The relation of inequalities are

b + a < 30   and    b - a < 10

Hence The system of inequalities which represent the value of a and b are  b + a < 30   and    b - a < 10       Answer

Mathematics
Step-by-step answer
P Answered by Master
I believe the correct answer from the choices listed above is option A.  If b is the greater integer, then the system of inequalities that could represent the values of a and b would be a + b ≥ 30 and b ≥ a + 10. Hope this answers the question. Have a nice day.
Mathematics
Step-by-step answer
P Answered by PhD

a + b ≥ 30,  b ≥ a + 10, the system of inequalities could represent the values of a and b

option A

Step-by-step explanation:

Here we have , The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, We need to find which system of inequalities could represent the values of a and b . Let's find out:

Let two numbers be a and b where b>a . Now ,

The sum of two positive integers, a and b, is at least 30

According to the given statement we have following inequality :

a+b\geq 30

The difference of the two integers is at least 10

According to the given statement we have following inequality :

b-a\geq 10

b-a+a\geq 10 +a

b\geq 10 +a

Therefore , Correct option is A) a + b ≥ 30,  b ≥ a + 10

Mathematics
Step-by-step answer
P Answered by PhD

a+b\geq 30\\b-a\geq 10\\ba

Step-by-step explanation:

Givens

The sum of two positive integers is at least 30.Their difference is at least 10.b is greater than a.

With this information, we can find a system of inequalities. Remember that "at least" means that the sum of these number is 30 or more, and their difference is 10 or more. So

a+b\geq 30\\b-a\geq 10\\ba

The solution of this system is attached. Remember that the solution of a system of inequalities is a graphic solutions, the intersection of all three areas is the solution.

However, the problem is just asking for the system that could represent this situation. So, the answer is

a+b\geq 30\\b-a\geq 10\\ba


The sum of two positive integers, a and b, is at least 30. the difference of the two integers is at

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