Which is the quotient if 3/5 and 1/10?
1 answer:
Answer:
6
Step-by-step explanation:
We have two fractions and are asked to find the answer if they both are divided.
3/5 and 1/10.
When we divide fractions, we need to follow KCF
KEEP - Keep the fractions
CHANGE - Change the division sign to a multiplication sign
FLIP - Flip the second fraction
Follow :
KEEP :
3/5 / 1/10
CHANGE :
3/5 * 1/10
FLIP :
3/5 * 10/1
Now we need to multiply, which is simple because it's multiplying across :
30/5
Simplify by dividing the numerator and denominator by 5 :
Divide the numerator by denominator :
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Answer:
The another way to write the expression i: .
Step-by-step explanation:
We have been given Luke wants to reduce the area of his rectangular Garden by 1/4 the expression 14/W.
Mathematically,
The other way to write it is in its simplified form which is:
The another way to write the expression is:
Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let . then we have that
. Hence, it makes sense to define the positive number delta as
(the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that , and if we prove this, we are done. To prove it, let
, then
. First,
then
hence
On the other hand, then
hence
. Combining the inequalities, we have that
, therefore
as required.