The first place and 15th place are already decided, so we have to find the number of
different ways that the <em>other</em> 13 students can line up, in the places from #2 to #14.
2nd place can be any one of 13 people. For each of those . . .
3rd place can be any one of 12 people. For each of those . . .
4th place can be any one of 11 people. For each of those . . .
.
.
.
13th place can be any one of 2 people. For each of those . . .
14th place has to be the one student who is left.
Total number of ways that 13 students can line up in places #2 through #14 is
(13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
That number is called "thirteen factorial". The number is <u>6,227,020,800</u> .
When you write it in math, you write it like this: 13!
5^12 because 8+4=12 and 12 would be the new number
Answer:
67.5feet
Step-by-step explanation:
Given parameters:
Model distance between building and gymnasium = 22.5 inches
Scale of model : 1 inch = 3 feet
Unknown:
Actual ground distance = ?
To solve this problem, we first must understand the concept of scale. A scale is a relationship that represents a dimension on a map/model compared to the true ground expression. In order to visualize or represent some real life objects on paper or in a computer, we use models. These models are an abstraction of the real world based on scales. There are different ways of representing a scale.
In this problem;
the scale is given as;
1 inch on model represents 3 feet on ground
Now, to find 22.5 inches, simply cross multiply and solve;
If 1 inch on model represents 3 feet on ground
22.5 inches on a model will be =
= 67.5feet
Therefore, the actual distance is 67.5feet
If you're confused whether to do multiplication or division first.
<span>Remember PEMDAS. It's the Order of Operation. Basically, it's the order of which operators are prioritized in an equation.
From Highest to Lowest Priority.
Parentheses, Exponents, (Multiplication and Division), and (Addition and Subtraction)
Multiplication and Division have the same priority, as well as Addition and Subtraction.
So for this it is which ever comes first, from left to right of the equation is prioritized.
WORKING:
3x2/3
The multiplication operator comes first, so we do:
3 x 2=6
Finally, we take "6" and divide it by 3
6 / 3 = 2
Answer is: 2</span>
Answer:
X=4
Step-by-step explanation:
2÷\frac{1}{2}=4