<span>In this fulcrum, the weights are perfectly balanced. How far must the fulcrum be located from the 40 lb. weight if the bar is 11 feet long? The answer is 6.1</span>
Answer:
Step-by-step explanation:
This is a system of inequalities problem. We first need to determine the expression for each phone plan.
Plan A charges $15 whether you use any minutes of long distance or not; if you use long distance you're paying $.09 per minute. The expression for that plan is
.09x + 15
Plan B charges $12 whether you use any minutes of long distance or not; if you use long distance you're paying $.15 per minute. The expression for that plan is
.15x + 12
We are asked to determine how many minutes of long distance calls in a month, x, that make plan A the better deal (meaning costs less). If we want plan A to cost less than plan B, the inequality looks like this:
.09x + 15 < .15x + 12 and "solve" for x:
3 < .06x so
50 < x or x > 50
For plan A to be the better plan, you need to talk at least 50 minutes long distance per month. Any number of minutes less than 50 makes plan B the cheaper one.
2.936 liters of punch...or 2,936 milliliters...or 293.6 centiliters.
Starting with <em>n</em> = 1, the first sequence is given by
(<em>n</em> - 1)/<em>n</em>
since 0 = (1 - 1)/1, and each successive term has a numerator that is 1 less than the denominator.
The second sequence is
1/(3<em>n</em>)
since each denominator is a positive multiple of 3.
Answer: A) 35
Step-by-step explanation:
We have the following:
Now, 
is made up of two factors, 
and 
:
So, we have to choose a number for x containing a factor of and or . In this case, the best option is 
:
Hence:
Finally:
