Answer:
1200
Explanation:
Order does not matter, if we said xyz order, it would still not make a difference if it was zyx or yzx hence we use the combination formula:
nCr = n! / r! * (n - r)!
where n= total number of items
r= number of items chosen at a time
Combinations are used when the order of events do not matter in calculating the outcome.
We calculate using the formula:
(30×20×12)÷3!=1200
There are therefore 1200 ways for the three distinct items to not be in same row or column
Answer:
14.4 inches
Step-by-step explanation:
Use the Pythagorean theorem: 
So, this will be: 
By simplifying we get:
c = 
The missing side is: 14.4 (rounded to the tenth)
Answer:
126
Step-by-step explanation:
the number of cargo cars is represented by the 35 part of the ratio , then
105 ÷ 35 = 3 ← value of 1 part of the ratio , then
passenger cars = 7 × 3 = 21
total cars = 105 + 21 = 126
Answer:
B. 
Step-by-step explanation:
Using Pythagorean theorem, find the value of x.
Pythagorean theorem is given as 
Where,
c is the longest side of a right angled ∆ = the hypotenuse = x
a and b are legs of the right angled ∆ = 2 and 6
Plug in the values into the equation and solve for x




<h2>
Translating Words into Problems</h2>
We can translate a word equation into a mathematical equation by translating key words into operations.
- <em>difference</em> = subtract
- <em>is</em> = equals
<h2>Addinng Fractions</h2>
Whenever we need to add one fraction to another, we must find a common denominator, change both the fractions for their denominators to be the same, and then add the numerators. Finally, we reduce the fraction.
<h2>Solving the Question</h2>
We're given:
- The difference of n and
is
.
Translate the given information into an equation:
⇒ 
Solve for <em>n</em>:
⇒ 
<h2>Answer</h2>
