Answer:
x = 4
Step-by-step explanation:
Distributive Property: a(b + c) = (a*b) + (a*c)
2x - 4(x - 3) = -8 + 5x - 8
2x + x * (-4) - 3*(-4) = -8 + 5x - 8
2x - 4x + 12 = -8 + 5x - 8
2x - 4x - 5x + 12 = -8 - 8
-7x + 12 = -16
-7x = -16 -12
-7x = -28
x = -28/-7
x = 4
Answer:
The coastline of alaska is longer than the entire coastline of the lower forty-eight states
Assuming the man works 8 hours straight without breaks:
25% is the same as 1/4 of something.
So, we just have to figure out what 1/4 (one quarter) of 8 equals.
You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.
If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.
Now, 25% (one quarter) of the pizza will equal half of what is left:
If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).
That's it! 25% of 8 hours = 2 hours.
***So, the patrolman spends 2 hours each day completing paperwork.***
Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).
So
25% + 25% + 25% + 25% = 100%
If 100% of the mans shift = 8 hours:
2+2+2+2 = 8
It checks out!
Hope this helps!
Start by dividing both sides by 3. Then take the square root of both sides. Then subtract 3 from both sides and divide by 2.
