In 2009 , ussin bolt set the world record for sprinting 100 m in approximately 9 3/5 seconds.
find the average speed in meters per second

He ran at an average speed of 10 5/12 meters per second.

Step-by-step explanation:

To find the average speed all we do is take the distance and divide it by how long it took.

So in our case we do

100 ÷ 9 3/5

The first thing we do when solving this is take our fractions and make them into improper fractions.

First, Lets make 100 into a fraction.

This is actually really easy to do. Since 100 is a whole number all we need to do is add a denominator of 1. So we now have :  

100/1

Now for 9 3/5

Since this is a fraction with a whole number we need to do some steps.

Step 1

Multiply the denominator by the whole number to get the new numerator

5 × 9 = 45

Step 2

Add the answer from Step 1 to the numerator

45 + 3 = 48

Step 3

Put these new numbers together

48/5

9 3/5 as an improper fraction is 48/5.

Now we set up the Equation. When diving fractions we change our division signs to a multiplication sign (when multiplying fractions it's the opposite). We also have to flip the fraction were multiplying by on the right. This is called "finding the reciprocal". Once we've done this the equation looks something like this :

100 x 5 =   500

     ---

1 x 48 =      48

As an improper fraction the answer is 500/48.

Now we simplify the fraction.

To do this, we need to find the Greatest Common Factor. This is the number were going to divide the numbers by to get the lowest possible number for both the numerator and the denominator. In our case it's 4.

500 ÷ 4 = 125

48 ÷ 4 = 12

So now we take our new numbers (125 and 12) and combine them into a simplified improper fraction.

125/12

Finally, We take 125 and make it go into 12 as many times as we can. 125 can go into 12 10 times. Now we take the remaining number after we put 125 into 12 10 times 5.

So we now have a remainder of which is 5. All we do is set this up in fraction form. The remainder stays as a numerator for our fraction while our new whole number (10) stays on the "outside". Our simplified fraction now is :

10 5/12

That's your answer.

Hope this helps! Thanks and have a nice day!!

i think it's eleven too, don't woosh me here, but according to the "experts" it's 2.

the proof starts from the peano postulates, which define the natural

numbers n. n is the smallest set satisfying these postulates:

  p1.   1 is in n.

  p2.   if x is in n, then its "successor" x' is in n.

  p3.   there is no x such that x' = 1.

  p4.   if x isn't 1, then there is a y in n such that y' = x.

  p5.   if s is a subset of n, 1 is in s, and the implication

      (x in s => x' in s) holds, then s = n.

then you have to define addition recursively:

  def: let a and b be in n. if b = 1, then define a + b = a'

      (using p1 and p2). if b isn't 1, then let c' = b, with c in n

      (using p4), and define a + b = (a + c)'.

then you have to define 2:

  def:   2 = 1'

2 is in n by p1, p2, and the definition of 2.

theorem:   1 + 1 = 2

proof: use the first part of the definition of + with a = b = 1.

      then 1 + 1 = 1' = 2   q.e.d.

note: there is an alternate formulation of the peano postulates which

replaces 1 with 0 in p1, p3, p4, and p5. then you have to change the

definition of addition to this:

  def: let a and b be in n. if b = 0, then define a + b = a.

      if b isn't 0, then let c' = b, with c in n, and define

      a + b = (a + c)'.

you also have to define 1 = 0', and 2 = 1'. then the proof of the

theorem above is a little different:

proof: use the second part of the definition of + first:

      1 + 1 = (1 + 0)'

      now use the first part of the definition of + on the sum in

      parentheses:   1 + 1 = (1)' = 1' = 2   q.e.d.

110698.56 square miles

step-by-step explanation:

multiply 3.8 by 102

387.6

multiply 2.8 by 102

285.6

multiply those two to get