For what natural values of n:
is the sum (−27.1+3n)+(7.1+5n) negative?
(−27.1+3n)+(7.1+5n) < 0
8n - 20 < 0
8n < 20
n < 2.5
since natural numbers are positive integers, n is either 1 or 2
Well, let's figure this out together! We want the sum of (-27.1 + 3n) and (7.1 + 5n) to be negative.
First, let's simplify the expression:
(-27.1 + 3n) + (7.1 + 5n) = -20 + 8n
To have a negative sum, we need -20 + 8n to be less than zero.
Solving the inequality -20 + 8n < 0:
8n < 20
n < 20/8
n < 2.5
So, for natural values of n, the sum (-27.1 + 3n) + (7.1 + 5n) will be negative when n is less than 2.5.
Hope that answers your question! If you need any more help, just let me know.
To find the natural values of n for which the sum (-27.1 + 3n) + (7.1 + 5n) is negative, we need to solve the inequality:
(-27.1 + 3n) + (7.1 + 5n) < 0
Let's simplify the expression:
-27.1 + 3n + 7.1 + 5n < 0
Combine like terms:
8n - 20 < 0
Add 20 to both sides of the inequality:
8n < 20
Divide both sides by 8 (since we want to find natural numbers):
n < 2.5
Since we are looking for natural values of n (positive integers), the only solution is:
n = 1
Therefore, the sum (-27.1 + 3n) + (7.1 + 5n) is negative for n = 1.
To find the natural values of n for which the sum (-27.1 + 3n) + (7.1 + 5n) is negative, we need to solve the inequality:
(-27.1 + 3n) + (7.1 + 5n) < 0
To simplify, let's combine like terms:
-27.1 + 3n + 7.1 + 5n < 0
Next, we can combine the constant terms:
-20 + 8n < 0
Now, let's isolate the variable term:
8n < 20
Divide both sides by 8:
n < 20/8
Simplifying further:
n < 2.5
Since we are looking for natural values of n, we can conclude that the values of n satisfying the condition are 1 and 2.