System: x + y = 44; x = 2y + 2
Solve with substitution: x = 30; y = 14
x + y = 44
x = 2y + 2
Substitute 2y + 2 for x
2y + 2 + y = 44
3y + 2 = 44
Subtract 2 on both sides.
3y = 42
y = 14
Now substitute back in.
x + 14 = 44
Subtract 14 on both sides.
x = 30
They cost less because there are more items in stock meaning that there isn't a limit here is another way of thinking if there are less Items then they can charge you more per item because they know you are gonna want it but if there are tons of that one item they there kinda like eh then you think oh I can live without that....... Hope this helps
Example: 3^4 would be 3x3x3x3
Answer:
P(5, 1)
Step-by-step explanation:
Segment AB is to be partitioned in a ratio of 5:3. That means the ratio of the lengths of AP to PB is 5:3. We need to find the ratio of the lengths of AP to AB.
AP/PB = 5/3
By algebra:
PB/AP = 3/5
By a rule of proportions:
(PB + AP)/AP = (3 + 5)/5
PB + AP = AP + PB = AB
AB/AP = 8/5
AP/AB = 5/8
The first part of the segment is 5/8 of the length of the segment, and the second part of the segment has length of 3/8 of the length of segment AB.
Point P is located 5/8 of the distance from point A to point B. The x-coordinate of point P is 5/8 of the difference in x-coordinates added to the x-coordinate of point A. The y-coordinate of point P is 5/8 of the difference in y-coordinates added to the y-coordinate of point A.
x-coordinate:
difference in coordinates: |14 - (-10)| = |14 + 10| = 24
5/8 of 24 = 5/8 * 24 = 15
Add 15 to the x-coordinate of point A: -10 + 15 = 5
x-coordinate of point P: 5
y-coordinate:
difference in coordinates: |4 - (-4)| = |4 + 4| = 8
5/8 of 8 = 5/8 * 8 = 5
Add 5 to the y-coordinate of point A: -4 + 5 = 1
y-coordinate of point P: 1
Answer: P(5, 1)
Two angles are supplementary when they <span>add up to 180 degrees.
x = angle
19x-60 = </span><span>supplement angle
x + 19x - 60 = 180
20x = 180 + 60
20x = 240
x = 240/20
x = 12</span>° ← answer
