Answer:
28 million college students.
Step-by-step explanation:
We can represent all college students as x. This means that all part-time college students are 
. Because all part-time college students are also equal to 8.6 million, we have 
. To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:
The left side of the equation evaluates as 
. Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.
2 negatives can be converted to a plus sign. -(-x) can be +x or just x.
-54--23
-54+23
<u>23-54=-31</u>
78--4
<u>78+4=82</u>
-48/-6
Now let's pause fer a sec. When a negative is being divided by another negative, the quotient(answer to division problem) becomes a positive.
<u>-48/-6=8</u>
<u></u>
<u>50*-4=-200</u>
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hope it helps
Well, we could try adding up odd numbers, and look to see when we reach 400. But I'm hoping to find an easier way.
First of all ... I'm not sure this will help, but let's stop and notice it anyway ...
An odd number of odd numbers (like 1, 3, 5) add up to an odd number, but
an even number of odd numbers (like 1,3,5,7) add up to an even number.
So if the sum is going to be exactly 400, then there will have to be an even
number of items in the set.
Now, let's put down an even number of odd numbers to work with,and see
what we can notice about them:
1, 3, 5, 7, 9, 11, 13, 15 .
Number of items in the set . . . 8
Sum of all the items in the set . . . 64
Hmmm. That's interesting. 64 happens to be the square of 8 .
Do you think that might be all there is to it ?
Let's check it out:
Even-numbered lists of odd numbers:
1, 3 Items = 2, Sum = 4
1, 3, 5, 7 Items = 4, Sum = 16
1, 3, 5, 7, 9, 11 Items = 6, Sum = 36
1, 3, 5, 7, 9, 11, 13, 15 . . Items = 8, Sum = 64 .
Amazing ! The sum is always the square of the number of items in the set !
For a sum of 400 ... which just happens to be the square of 20,
we just need the <em><u>first 20 consecutive odd numbers</u></em>.
I slogged through it on my calculator, and it's true.
I never knew this before. It seems to be something valuable
to keep in my tool-box (and cherish always).
Answer:
Slope of the perpendicular line: 2/3
Step-by-step explanation:
-2y = 3x - 6
y = - 3/2x - - 6/2
y = -3/2 + 3
