Answer:
number of nurses employed at the hospital is 9x = 9 * (7n/9) = 7n, and the number of doctors is 2x = 2 * (7n/9) = (14n/9).
Step-by-step explanation:
Given the ratio of nurses to doctors is 9:2, we can express this as:
Number of nurses (9x) : Number of doctors (2x)
Now, you've mentioned that the total number of nurses and doctors employed at the hospital is 77n. So, we can set up an equation:
9x + 2x = 77n
Combine like terms:
11x = 77n
Now, to find the number of nurses (9x) and the number of doctors (2x), we need to divide both sides by 11:
9x = (77n) / 11
9x = 7n
Now, we can solve for x:
x = (7n) / 9
So, the number of nurses employed at the hospital is 9x = 9 * (7n/9) = 7n, and the number of doctors is 2x = 2 * (7n/9) = (14n/9).
In summary:
- Number of nurses = 7n
- Number of doctors = (14n/9)
solved by MG
Answer:
15.73
Step-by-step explanation:
Straight angle is 180 degrees. So the given angles add up to 180.
(6x - 3) + (5x + 10) = 180
11x + 7 = 180
-7 -7
11x = 173
To find the triples of the 3 positive integers (x,y,z) that are products of 24, consider the prime factorization of 24 and distribute these prime factors among x, y and z. Remember to consider permutations.
The student is asking about triples of positive integers (x,y,z) whose product is 24. To find these triples, consider the prime factorization of 24, which is 2^3*3.
Triplet possibilities are created by distributing these prime factors among x, y, and z. For instance, (1,1,24), (1,2,12), (1,3,8), (1,4,6), (2,2,6), and their permutations.
When considering permutations, remember each triple can be ordered in 3! = 6 ways. Making each distinct triple six separate triples. For example, (1,1,24) becomes [(1,1,24), (1,24,1), (24,1,1), (1,24,1), (1,1,24), (24,1,1)]. Repeat this process for all the distinct triples.
To get the total number of triples, count all the distinct permutations. Keep in mind the triple where all numbers are equal, such as (2,2,6), should be counted only once, as its permutations do not produce distinct triples.
#SPJ12
Given:
The graph of a number line.
To find:
The set of values for the given number line.
Solution:
As we move from right to left on a number line the values decreased however as we move from left to right on a number line the values increased.
From the given number line it is clear that there is an open circle at 7 and a close circle at 10. It means 7 is not included in the solution set but 10 is included in the solution set.
From the point 7, the arrow approaching to the left it means all the values less than 7 are included in the solution set, i.e., x < 7.
From the point 10, the arrow approaching to the right it means all the values greater than 10 or equal to 10 are included in the solution set, i.e., x ≥ 10.
Solution set : x < 7 or x ≥ 10.
Therefore, the correct option is A.