Answer:
-4 1/12.
Step-by-step explanation:
-9/2 + 5 /12
The Lowest Common denominator is 12 so we have:
-54/12 + 5/12
= -49/12
= -4 1/12.
Answer:
360,360 groups of 5 people.
Step-by-step explanation:
We have been given that there are 15 people in an office with 5 different phone lines. We are asked to find groups of 5 people that can answer these lines, if all the lines begin to ring at once.
We will use fundamental principle of counting to solve our given problem.
There are 15 people to answer 1st line, that will leave us with 14 people to answer 2nd line.
Now, we will have 13 people to answer 3rd line, that will leave us with 12 people to answer 4th line.
There are 11 people to answer 5th call.
So 5 lines can be answered in
ways.
Therefore, 360,360 groups of 5 people can answer these lines.
Given:
Nancy is running 3 meters per second.
Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.
To find:
The equations for Nancy and Juan.
Solution:
Let x be the number of seconds.
Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is

Therefore, the equations of Nancy and Juan are
and
respectively.
Use the Pythagorean theorem:

c - a hypotenuse
a, b - legs
We have: a = 9 and c = 12. Substitute:

<em>subtract 81 from both sides</em>

A Pythagorean triple consists of three positive integers a, b and c, such that
.
is not positive integer.
<h3>The sides of the triangle do not form a pythagorean triple.</h3>
Answer:
Probability:
= 0.5 = 50%
Step-by-step explanation:
Based on the question one coin is chosen at random and tossed. That coin then lands and is heads. Since the coin landed on heads we can <u>eliminate the possibility</u> of the coin that was chosen being the coin with double tails.
The following possibilities are that the coin has double heads or is a regular coin with both tails and heads. Seeing as the coin landed on heads, there are only two possible out comes for the other side of the coin
The other side is either Heads or Tails. That gives us a 50% chance of the other side being tails.
= 0.5 = 50%
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