Answer:
D
Step-by-step explanation:
so we know that x + y is greater than or equal to 5 + 2 which is 7.
we also know that y is greater than 2.
therefore our answer cannot be A, E, or F.
now that we know that x + y is greater than or equal to 7, since y is greater than 2, x is less than 5, because 2 + 5 = 7.
that means our answer cannot be C.
the only two answers left are D and E.
if our answer was D, then we would have 3 + 6 is greater than or equal to 7.
this is true, so one of our answers is D.
if our answer was E, then we would have 2 - 5 is greater than or equal to 7.
this is untrue, so our answer is not E.
therefore our answer is D
C, because rounded up to the nearest tenth. 25.169 is closest to 24.
H and N are congruent because they are both 58 degrees,
J and L are congruent because they are both 62 degrees,
and K and M are congruent because they are both 60 degrees.
Therefore triangle HJK is congruent to triangle NLM.
The sequence is arithmetic as it goes down 3 every time
Arithmetic nth term formula is an=a1+d(n-1)
an=7-3(n-1)
an=7-3n+3
an=-3n+10
To find the 100th term substitute n for 100
a100=-3(100)+10
a100=-300+10
a100=-290
The 100th term is -290
Answer:
- m + m/4 + 3m/2 > 22
- m > 8 . . . . m restricted to multiples of 4, perhaps
Step-by-step explanation:
Let m represent the number of articles Mustafa has written. Then the total number of articles written must satisfy the inequality ...
m +m/4 +3m/2 > 22
This has solution ...
(11/4)m > 22
m > (4/11)22
m > 8 . . . . . . . . the solution to the inequality
If all the numbers are integers, and the ratios are exact, then we must have m be a multiple of 4 (that is, 4 times the number of articles Heloise wrote).
The solution set will be ...
m ∈ {12, 16, 20, 24, ...} (multiples of 4 greater than 8)