Answer:
612 students and 325 adults.
Step-by-step explanation:
To determine the number of adults and students who attended the event, knowing that in total there were 937 people who spent a total of $ 1,109 and that each student ticket is worth $ 0.75 while each adult ticket is worth $ 2, the following logical reasoning must be performed:
2 - 0.75 = 1.25
Therefore, the minimum that each ticket will be worth is $ 0.75, while there will be a surplus of money that will be divisible by 1.25, which is the amount of more that each adult paid on their ticket.
Therefore, since 0.75 x 937 equals 702.75, the total price surplus is 406.25 (1,109 - 702.75). Now, this number divided by 1.25 gives a total of 325, with which 325 adults attended the event. In turn, given that the total number of attendees was 937, the total number of students who attended the event is 612 (937 - 325).
Answer:
C
Step-by-step explanation:
67.142 rounded to the nearest ones is 67 cause the .1 is not .5 or greater.
Answer:
x<7, The third option
Step-by-step explanation:
-1.1x+6.4>-1.3
We are trying to isolate x so we can move all the constant to one side.
-1.1x>-1.3-6.4
-1.1x>-7.7
Lastly, we need to divide both sides by -1.1.
-1.1x>-7.7/-1.1
Note that if you multiply or divide both sides of an inequality by a negative, then you need to flip the sign.
x<7
Hope this helps :)
Answer:
- $2300000- max profit
- 5.77 years into operation - zero profit time
Step-by-step explanation:
<u>Given function:</u>
It is a quadratic function with general form of y = ax^2 + bx + c
It opens down if a < 0 and gets maximum value at vertex which is determined at x = -b/2a
<u>For the given function vertex is:</u>
<u>Maximum value of p is:</u>
- p(3) = -3*3^2 + 18*3 - 4 = -27 + 54 - 4 = 23 ($2300000)
<u>The time when profit is zero:</u>
- -3t^2 + 18t - 4 = 0
- 3t^2 - 18t + 4 = 0
- t = (18 ± √18² - 4*3*4)/2*3 = (18 ± √276)/6 = (18 ± 16.61)/6
- t = (18 - 16.61)/6 = 0.23 this is the time when company has just started to make profit, it is not applicable as is the past time
- t = (18 + 16.61)/6 = 5.77 years into operation, after this time there will be no profit