Answer:
a. 84 < n + (n + 2) + (n + 4) < 96
b. 26 < n < 30
step-by-step explanation:
using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'. so, the expression to represent three consecutive even numbers is: n + (n + 2) + (n + 4).
since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:
84 < n + (n + 2) + (n + 4) < 96
in order to solve for 'n', we must first combine like terms:
84 < 3n + 6 < 96
subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90
divide 3 by all sides: 78/3 < 3n/3 < 90/3 or 26 < n < 30.
Answer:
8.8
Step-by-step explanation:
-50 + 15T > 5
See the image for a breakdown of what these terms mean/how they’re measured!
Answer:
A.-
D.
E.
Step-by-step explanation:
Like terms must have the same variable, in this case x, and the same exponent, in this case 2. Since the original term is
, the like terms will be those that contain
, regardless of whether their coefficient or sign is different.
Analyzing the options:
A.-
We have the same variable and the same exponent
, so it is a like term.
B. 
You have the same variable x but not the same exponent. So it's not a like term of 
C.
Same variable
but as in the previous case, the exponent is different, it is a 3 and it should be a 2, so it is not a similar or like term.
D.
In this option we do have the
, so it is a like term of 
E.
It is also a like term because it contains the
.
In summary the like terms are:
A.-
D.
E.