Answer:
30% of the pages are arithmetic, or 108 pages
Step-by-step explanation:
50% are on algebra = 180 pages
360 x .5 = 180
20% are on geometry = 72 pages
360 x .2 = 72
30% are on arithmetic = 108
180 + 72 + 108 = 360 pages
50% + 20% + 30% = 100%
Answer:
Step-by-step explanation:
Let's FOIL out both sides and then see where we are after that:

Let's combine like terms now and get everything on one side of the equals sign and set the polynomial equal to 0 to solve for x:
0 = 8x - 4 and we can factor out a 4 to give us:
0 = 4(2x - 1)
Either 4 = 0 or 2x - 1 = 0. Well it's obvious that 4 does not equal 0, so 2x-1 must equal 0. Then
2x = 1 so
x = 1/2 or choice A on the left.
Answer:
y = 4
Step-by-step explanation:
4*y = 4y
4*4 = 16
4y+16=32
to get 4y alone, we subtract 16 from 32.
32-16 = 16
4y = 16
to get y alone, we divide 4 by 16
16/ 4 = 4
so, y = 4
Answer: C) (-3, -1)
X = -3 and y= -1
If you apply these values in the inequalities
y < 2x + 1
-3 < -2 + 1
-3 < -1
Since -3 is less than -1 , the values hold true for the first equation
y > -x-5
-3 > -1 - 5
-3 > -6
Since -3 is greater than -6, it also holds true for the 2nd equation
Answer:
heat the air
Step-by-step explanation:
Lightning is just a high-intensity amount of electricity. Picture zapping something with electricity: it doesn't get cold, it gets hot.
That's because when a current is passed through something, it has more energy, so the molecules start to vibrate faster and move around much faster than they were before, which causes friction and a buildup of heat.