To solve this inequality, you must first isolate the term that includes the variable, which is -1/2x. This can be done by first subtracting 1/3 from both sides.
Before you can subtract 1/3 from 3/5, however, you must first convert the fractions to have common denominators.
A common denominator for 1/3 and 3/5 is 15. This is the LCM, least common multiple, of 3 and 5, making it the lowest possible common denominator.
Using this common denominator, 1/3 changes to 5/15 and 3/5 changes to 9/15.
Now we can subtract these equivalent fraction for 1/3, which is 5/15, from the fraction equivalent to 3/5, which is 9/15.
9/15 - 5/15 = 4/15
This fraction can't be simplified any further so this step is done.
Now the inequality is -1/2x > 4/15.
The next step is to isolate x by dividing both sides by -1/2.
An important note to remember when doing this step is that whenever dividing by a negative in inequalities, you must flip the inequality symbol.
In this case, that means dividing both sides by -1/2 and changing the greater than sign (>) to a less than sign (<).
-1/2x ÷ -1/2 = x
4/15 ÷ -1/2
When dividing fractions, find the reciprocal of the second fraction then multiply.
The reciprocal of -1/2 is -2/1, or -2 when simplified.
4/15 • -2 = -8/15
This means x < -8/15.
This has x isolated and the inequality simplified as far as possible.
That means this is the answer.
Answer:
x < -8/15
Hope this helps!
Answer:
There would be 40 red gumballs
Step-by-step explanation:
Since, out of 40 gumballs there are 8 red gumballs,
So, the ratio of red gumballs and total gumballs = 
Now, let there are x red gumballs in 200 gumballs,
The ratio of red gumballs and total gumballs = 
Hence, the possible number of red gumballs in the jar would be 40.
Find all polar coordinates of point p where p = ordered
pair 5 comma pi divided by 3.
The polar coordinate of any point can be written as:
<span>(r, θ) = (r, θ + 2nπ) -->
when positive</span>
<span> (r, θ) = [ - r, θ
+ (2n + 1)π ] -->
when negative</span>
<span> where n is any
integer.</span>
The polar coordinates of this given point P is: P =
(r, θ) = (5, π/3).
When the value of r is positive, the polar coordinate is
written as P= (5, π/3) = (5, π/3 + 2nπ)
where n is any integer.
When the value of r is negative, the polar coordinate is
written as P = (5, π/3) = [ - 5, π/3 + (2n + 1)π]
where n is any integer.
Therefore all polar coordinates of point P are (5, π/3 +
2nπ) and [ - 5, π/3 + (2n + 1)π ].
<span> </span>
I need to see line MN and point P first on a graph.
The answer is sixteen thousand four hundred ninety
