Answer:
y = 13
Step-by-step explanation:
If it's a parallelogram then its consecutive angles are supplementary (add up to 180°).
6x - 12 + 132 - x = 180°,
5x + 120 = 180
5x = 60
x = 12
6x - 12 = 6(12) - 12 = 72 - 12 = 60
Parallelogram, opposite angles are equal
so
6y + 18 = 6x - 12
6y - 18 = 60
6y = 78
y = 13
Answer:
70% are medium-sized jerseys.
Step-by-step explanation:
The complete question is:
The football team has a total of 20 jerseys. There are 14 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys? nothing% are medium-sized jerseys.
Solution:
The information provided is:
- The football team has a total of 20 jerseys.
- There are 14 medium-sized jerseys.
Compute the percentage of medium-sized jerseys as follows:
Thus, there are 70% medium-sized jerseys.
Step-by-step explanation:
Go 2.5 units to the right from the origin (0,0) for your x coordinate
Go 2.5 units down from the origin (0,0) for your y coordinate
Where the lines meet is your point.
I've got to tell you what it was about this question that made me stop,
look it over, play with it, and try to answer it: It was the size of the piece
of land involved . . . 2¹⁵ square miles. I had a funny feeling about that piece
of land, so I went and looked it up, and sure enough, it was just as I suspected.
Let me put it this way:
-- South Carolina
-- West Virginia
-- Maryland
-- Hawaii
-- Massachusetts
-- Vermont
-- New Hampshire
-- New Jersey
-- Connecticut
-- Delaware
-- Rhode Island
Not one of these 11 states has that much land inside its borders.
<span>
<span><span>
-- Panama
-- Ireland
-- Costa Rica
-- Israel
-- Denmark
-- Netherlands
-- Switzerland
-- Taiwan
-- Belgium
-- Haiti
</span></span></span>Not one of these 10 countries has that much land in it.
And ALL OF THESE PUT TOGETHER don't add up to that much land:
-- Fiji
-- Kuwait
-- Bahamas
-- Jamaica
-- Lebanon
-- Puerto Rico
But that's what the question says, so that's the way to work it.
It's only math.
=============================================
How many times does 8³ fit into 2¹⁵ ?
We need to evaluate 2¹⁵ / 8³ .
If the bases were the same, then we could simply subtract the exponents.
Notice that '8' is the same thing as 2³ .
So 8³ = (2³)³ = 2⁹ .
Now the big fraction can be written as 2¹⁵ / 2⁹ and that's <em>2⁶ </em>.
And there you are.
If you start out with 2¹⁵ square miles of land, and start giving away pieces
of 8³ square miles (slightly more land than Hong Kong) to everyone who
walks by, then by the time only 2 million people have walked by, you'll have
nothing left.
But you'll have the last laugh ! Because you can't move a piece of land,
so all those people will have to live next to each other !
As for the second part of the question (<span>Compute the actual number of pieces.),
I must confess that either it's a bogus question or else I just don't get it.
Since the dimensions of the original rectangle (roughly the same area as Belgium)
are not stated, and the pieces of 8³ square miles aren't even described as being
any particular shape, I don't really see any reason why the chopping up can't be
done in such a way that it results in exactly 2⁶ pieces. </span>
In conclusion, I'll offer the wry observation that the only tiny number associated
with this problem is the 5 points.