Given:
A fraction is greater than
, is less than
.
The fraction has 6 as a denominator.
To find:
The fraction value.
Solution:
Let x be the required fraction.
According to the given information, we get


We know that,
. So,


We need 6 as the denominator.
Multiply the numerator and denominator by 3.


Therefore, the required fraction is
.
Answer:
A.
Elena can run 3 miles per hour.
Step-by-step explanation:
Given that:
a circular running track = 1/5 mile
On this track, Elena runs completing each of the laps in 1/15 of an hour
We are to find Elena running speed.
It implies that the distance of Elena = 
Time to run each lap = 
Speed is the amount of distance covered in a specified period of time.
Recall that the formula for calculating speed is:



Speed = 3miles / hour
As such, Elena can run 3 miles each hour.
Answer:Write f(x)=x^2+2x-99 in standard form and please show your work
Step-by-step explanation:f
(
x
)
=
x
2
+
2
x
−
99
For the first box on the left hand side, the answer is m < 1 + m < 2 = 180 as they are a linear pair
The first box in the right-hand column is "linear pair postulate" as its very similar to the previous line
The second box on the left-hand side is m < 1 + m < 2 = m < 2 + m < 3. Essentially we're doing replacements. Similar to how x+3 = 10 turns into 7+3 = 10 when we plug in x = 7
The second box on the right-hand side is "subtraction property of equality". We subtract "m < 2" from both sides to end up with m < 1 = m < 3
The answer to your question is D.