Answer: c. 8!
Step-by-step explanation:
We know , that if we line up n things , then the total number of ways to arrange n things in a line is given by :-
( in words :- n factorial)
Therefore , the number of ways 8 cars can be lined up at a toll booth would be 8! .
Hence, the correct answer is c. 8! .
Alternatively , we also use multiplicative principle,
If we line up 8 cars , first we fix one car , then the number of choices for the next place will be 7 , after that we fix second car ,then the number of choices for the next place will be 6 , and so on..
So , the total number of ways to line up 8 cars = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1 = 8!
Hence, the correct answer is c. 8! .
If both triangles are congruent (that's what the sign means), then AD=CB, and CD=AB. Substituting what we are given into CD=AB,
6x-5=3x+10
Solving the equation:
3x=15
x=5
So we know that 2x+4 (the value of AD) becomes 2*5 +4, and you get 14. Since we know that AD=CB, then CB is also 14. No need to find y!
Answer: CB=14
Answer:
Percent increase = 60%
Percent increase with baggage = 83%
Step-by-step explanation:
Given that:
Old price of the ticket = $210
New price of the ticket = $335
Increase amount =335-210 = $125
Percent increase = 
Percent increase = 
Percent increase = 59.52% = 60%
Additional charges = $125+$50 = $175
Percent increase = 
Percent increase = 83%
Hence,
Percent increase = 60%
Percent increase with baggage = 83%
There are an infinite number of them.
Here are a few:
2.1
2.2
2.3
2.3000000001
2.30000000000000006
2.5
2.00009
.
.
etc.
How to find them:
You probably never heard this before, but I'll bet
you'll remember it from now on:
<em>ANY number that you can write down on paper completely, </em><em>using digits
and a decimal point if you need it but no symbols, is a rational number.</em>
If you can write it down completely without any 'comments', then it's rational.