On a certain hot summer's day, 661 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.00 for adults. The receipts for admission totaled $ 1123.00 . How many children and how many adults swam at the public pool that day?

398 children

263 adults

Step-by-step explanation:

Let the number of children be x and adults y. From the total attendance, we can write equation as x+y=661 hence y=661-x

Also, considering the charges then 1.5x+2y=1123

Replacing y with 661-x then

1.5x+2(661-x)=1123

1.5x-2x+1322=1123

0.5x=199

X=398

Y=661-x=661-398=263

Therefore, children were 398 and adults 263

what's the question?

step-by-step explanation:

there is no question.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct