The admission fee at an amusement park is $3.25 for children and $5.80 for adults. on a certain day, 369 people entered the park, and the admission fees collected totaled 1671 dollars. how many children and how many adults were admitted?

185 adults and 184 children

Step-by-step explanation:

People entering the park = adults plus children

369 = a+c

Total money = admission fee for kids * number of children + admission fee for adults * number of adults

1671 = 3.25c + 5.80a

We have 2 equations and 2 unknowns

Solve the first equation for a by subtracting c from each side

369-c = a+c-c

369-c =a

Substitute this in to the second equation

1671 = 3.25 c +5.80 (369-c)

Distribute the 5.8

1671 =3.25c +5.8*369 - 5.8c

1671 = 3.25c +2140.2-5.8c

Combine like terms

1671 = -2.55c +2140.2

Subtract 2140.2 from each side

1671-2140.2 = -2.55c +2140.2-2140.2

-469.2 = -2.55c

Divide by -2.55 on each side

-469.2/-2.55 = -2.55c/-2.55

184 =c

There were 184 children

Now we need to find a

369 = a+c

369 = a+184

Subtract 184 from each side

369-184 = a+184-184

185 =a

There were 185 adults

if you need just tell me and i will come to the rescue.

step-by-step explanation:

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