On a certain hot summer's day, 622 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $1115.00.
How many children and how many adults swam at the public pool that day?

There were 257 children and 365 adults at the public pool.

Step-by-step explanation:

Let the number of children and adult be x and y respectively,

x+y = 622

1.5x+2y = 1115

Now,

x+y = 622

or, x = 622 - y

Now,

1.5x + 2y= 1115

or, 1.5(622-y) + 2y = 1115

or, 933 - 1.5y + 2y = 1115

or, 933 + 0.5y = 1115

or, 0.5y = 1115-933

or, 0.5y = 182

so, y = 182/0.5

so, y = 365

Now,

x+y = 622

or, x + 365 = 622

so, x = 257

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation:

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: