A question such as this one is a little tricky since the people seated are not in a straight line.
For a circular table seating question, (n-1)! formula is used. Without restrictions 5! people can be seated.
You might be wondering why it is not 6!, this is because the first person will the the 6 person so you are accounting for the same person twice.
Hope I helped :)
integral of e^x (sinx +cosx)= e^x sin x + c
Answer:
Step-by-step explanation:
width is 255/15=17
perimeter = 17*2+15*2=64
EZ
Answer: $48
Step-by-step explanation:
From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.
Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:
x + (6% of x) = $50.88
x + (6/100 × x) = $50.88
x + (0.06 × x) = $50.88
x + 0.06x = $50.88
1.06x = $50.88
When then divide by the coefficient of x
1.06x/1.06 = #50.88/1.06
x = $48
The price before the tax is $48
Cost per ticket for the rides = $1.50.
a) Let us assume the number of ride tickets = x.
Total cost of x number of rides = y.
Total amount spent = $48.75.
Amount spent on 20 tickets = 20 × 1.50 = $30
<em>Fair admission charge = Total amount spent - Amount spent on 20 tickets</em>
<em> = $48.75 - $30 = $18.75.</em>
Let us apply slope-intercept form y=mx+b to get the equation.
Total cost of x number of tickets at the rate $1.50 each ticket = 1.50x.
To<em>tal cost of fair = Total cost of x number of tickets + Fair admission charge.</em>
<h3>b) y = 1.50x + 18.75.</h3>