Swimming Pool On a certain hot summer's day, 140 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $214.00. How many children and how many adults swam at the public pool that day?

88 (children) and 52 (adults).

Step-by-step explanation:

1. if the number of the children is 'x' and the adults is 'y', then total number 140 people is x+y=140, - this is the first equation;

2. if the earned money is 214 USD and 1.25 USD for child and 2 USD for adult, then this means: 1.25x+2y=214, - this is the second equation;

3. using two equations above it is possible to make up and solve the next system of two equations:

4. Finally, the answers is:

children ('x') - 88; adults ('y') - 52.

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.