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icang [17]
3 years ago
5

A total of 54 adults and students show up for the play. Adult tickets cost $8 and kid tickets cost $5 and the total money collec

ted
was $360. How many of each type of ticket were sold?
It’s using substitution or elimination to get a number for kids and adults
Mathematics
1 answer:
maria [59]3 years ago
8 0

Answer:

30 adult tickets and 24 kid tickets

Step-by-step explanation:

set up equations

x=adult tickets

y=kid tickets

x(adult tickets)+y(kid tickets)=54(people in total)

x+y=54

$8x+$5y=$360

$8 per ticket for adults

$5 per ticket for kids

total of $360 earned

8x+5y=360

↓

x+y=54

8x+5y=360

solve by elimination or substitution or even graph to get

(x,y)=(30,24)

x=30

y=24

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Bradley and Kelly are out flying kites at a park one afternoon. A model of Bradley and Kelly's kites are shown below on the coor
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The correct answer is:

C. They are similar because the corresponding sides of kites KELY and BRAD all have the relationship 2:1.

Using the distance formula,

d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

the lengths of the sides of BRAD are:

\text{BR}=\sqrt{(7-6)^2+(3-4)^2}=\sqrt{1^2+(-1)^2}=\sqrt{1+1}=\sqrt{2}\\\\\text{RA}=\sqrt{(6-3)^2+(4-3)^2}=\sqrt{3^2+1^2}=\sqrt{9+1}=\sqrt{10}\\\\\text{AD}=\sqrt{(3-6)^2+(3-2)^2}=\sqrt{(-3)^2+1^2}=\sqrt{9+1}=\sqrt{10}\\\\\text{DB}=\sqrt{(6-7)^2+(2-3)^2}=\sqrt{(-1)^2+(-1)^2}=\sqrt{1+1}=\sqrt{2}

The lengths of the sides of KELY are:

\text{KE}=\sqrt{(2-0)^2+(11-9)^2}=\sqrt{2^2+2^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\\\\\text{EL}=\sqrt{(0-2)^2+(9-3)^2}=\sqrt{(-2)^2+6^2}=\sqrt{40}=2\sqrt{10}\\\\\text{LY}=\sqrt{(2-4)^2+(3-9)^2}=\sqrt{(-2)^2+(-6)^2}=\sqrt{40}=2\sqrt{10}\\\\\text{YK}=\sqrt{(4-2)^2+(9-11)^2}=\sqrt{2^2+(-2)^2}=\sqrt{8}=2\sqrt{2}

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8 0
3 years ago
Read 2 more answers
Suppose the man in the St. Ives poem has x wives, each wife has x sacks, each sack has x cats, and each cat has x kits. Write an
marishachu [46]

Answer: x+x^2+x^3+x^4

Step-by-step explanation:

As per given,

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Now , the total number of kits, cats, sacks, and wives going to St. Ives = x+x^2+x^3+x^4

Hence, the required ex[pression:  x+x^2+x^3+x^4

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3 years ago
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