Answer:
120 yards,360 feet's of length and 53 1/3 yards,160 feet of width
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:
11 invitations each
Step-by-step explanation:
Let the number of invitations they bought be x .
Since they spent the same amount of money, Their total costs would be the same. Hence ;
3.25 + 0.75(x) = 0.5x + 6
0.75x - 0.5x = 6 - 3.25
0.25x = 2.75
x = 2.75/0.25
x= 11 invitations
Answer:
With F represent the variable of interest:
Step-by-step explanation:
For this case we have a normal limits for the temperature Range. The minimum is 660 F and the maximum 790 F.
We can find the midpoint of this interval like this:
And the difference between the midpoint and the limits are:
So then we can create the following inequality:
With F represent the variable of interest.:
Subtraction, you’d -6 to the other side and m=-10
