Answer: they need to sell 70 tickets in order to recover all of the costs for the facility.
Step-by-step explanation:
Let x represent the number of tickets that they will sell.
The council pays $420 to rent a local firehouse for the evening. The council must also pay $2 per guest that attends for insurance. This means that the total cost of admitting x guests would be
2x + 420
If the council charges $8 per ticket for the dance, then the revenue that would be generated from admitting x guests would be 8x.
The number of tickets they need to sell in order to recover all of the costs for the facility would be
8x = 2x + 420
8x - 2x = 420
6x = 420
x = 420/6
x = 70
Answer: 31
Step-by-step explanation: To solve this we want to work backward so we know that 6 and w = 37 so we need to do 37-6=w
37-6=31 so 31=W
If you need any further instruction or help let me know!
Answer:
<h2>36ft cubed</h2>
Step-by-step explanation:
The total volume is 36ft. In order to find the volume, you can split this up into 3 boxes.
The first box go with the dimensions of 3ft (length) by 2 ft (width) by 1ft (height), multiply that, you get 6ft
The second box go with the dimensions of 3ft (length) by 4ft (width) by 1ft (height), multiply that, you get 12ft
The third box go with the dimensions of 3ft (length) by 6ft (width) by 1ft (height), multiply that, you get 18ft
Lastly, add together the 3 boxes, (6+12+18), which you get 36ft, and since this is volume, it is 36ft cubed
2x 4 =- 8
2 x + 4 = 8 2x+4=8 2x+4=8. Subtract 4 from both sides. Simplify 8 − 4 8-4 8−4 to 4. Divide both sides by 2.
Answer:
Step-by-step explanation:
A column vector is shown in the form where x is how many spaces to move in the positive x direction y is how many spaces move in the positive y direction.
The vector b moves 4 spaces to the right (which is in the positive direction of x) and doesn't move up or down in the y direction which is 0, so the column vector is