This ones a bit of a trick question, since whether the integers are even or odd doesn't really matter. What does matter, is that consecutive odd integers are 2 numbers apart (as are consecutive even integers).
So again, if the first of the odd integers is the variable n
the consecutive odd integers after it can be written as:
n+2 , n+4, etc...
So the sum of four consecutive odd integers can be written as:
sum = n + (n+2) + (n+4) + (n+6)
Simplify:
sum = 4n + 12
And finally rearrange to solve for n:
= n
This can also be written as:
- 3 = n
Whichever way you prefer.
Answer:
Glados makes $44.76 per hour.
Step-by-step explanation:
Given:
Total hours Glados worked this week = 38.4
Amount earned by Glados this week = $1,718.64
To find her hourly earnings for the week.
Solution:
We will use unitary method to find the unit rate.
If for 38.4 hours Galdos earned = $1,718.64
Then for 1 hour she will earn = 
Thus, Galdos' hourly earnings for the week = $44.76
Answer:
The coordinates of N are (-3,-8)
Step-by-step explanation:
Here, we are going to use the internal division to find the coordinates of the point split the line segment MP in the ratio 3:4
Mathematically, that would be;
(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
we have;
m = 3 and n = 4
M is (x1,y1) while N is (x2,y2)
we have;
(x,y) = (4(-12) + 3(9))/(3+4) , (4(-5) + 3(-12))/(3+4)
(x,y) = (-48 + 27)/7, (-20 -36)/7
(x,y) = (-21/7 , -56/7)
(x,y) = (-3,-8)
The derivative of constant numbers is zero.
Answer:8.1000=8000
9.100=900
8000>900
8.1000>9.100
Step-by-step explanation: