A group of friends were working on a student film. They spent all their budget on costumes and equipment. They spent $396 on costumes, and 45% of the total budget on equipment. What was the total budget for their student film?

The total budget for their student film was $720.

Step-by-step explanation:

From the information given, you know that they spent all their budget on costumes and equipment and that they spent 45% of the total budget on equipment. From this, you could inferred that in order to find the percentage they spent on costumes you have to subtract 45% from 100% that would indicate the total amount spent:

100%-45%=55%

According to this, you know that they spent 55% of the total budget on costumes and the statement says that the amount was $396. With this information, you can use a rule of three to find the amount that represents 100%:

396 →  55%

 x    ← 100%

x=(396*100)/55=720

The answer is that the total budget for their student film was $720.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.