Find the length x. .
2 answers:
You might be interested in
Answer:
2
Step-by-step explanation:
The question state that; the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.
First, we need to interpret and represent this statement mathematically
Let n be the number.
The sum means 'addition'
1/6 of that number is 1/6 of n = 1/6 × n =
2 1/2 of that number is 2 1/2 of n = 2 1/2 × n = 5/2 × n =
So the question says that, when we add; ,
and 7 all together, the value is 12 1/2
That is;
+
+ 7 = 12 1/2
+
+ 7 =
( changing 12 1/2 to improper fraction will give
)
So we can now go ahead and solve for n
+
+ 7 =
subtract 7 from both-side of the equation
+
=
- 7
=
=
can be reduced to give us
=
Cross multiply
8n × 2 = 11× 3
16n = 33
Divide both-side of the equation by 16
=
(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while on the right-hand side of the equation 33 will be divided by 16)
n = =
Therefore the number is
Sorry for bad handwriting, while there are other ways to do this, if you can just know how to simply find the legs from the two points it is very simple!
