Amanda is hosting a school play at Midtown High School. To buy a ticket, she charges $11 per child and $13 per adult. If there are a total of 214 tickets sold and she earns a
revenue of $2,592, how many adults and how many children attended the play?

119 adults, 95 kids

Step-by-step explanation:

11x+13y=2592

X+y=214

11x + 13(214-x) = 2592

11x + 2782 -13x = 2592

-2x = -190

X = 95

95 + y = 214

Y= 119

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet