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____ [38]
3 years ago
9

Brianna’s family spent $134 on 2 adult tickets and 3 youth tickets at an amusement park. Max’s family spent $146 on 3 adult tick

ets and 2 youth tickets. What is the price of a youth ticket?
Mathematics
1 answer:
love history [14]3 years ago
5 0
Let 
 x:adult tickets
 y:youth tickets  
 We have 
 2x+3y=134
 3x+2y=146
 Rewritting
 6x+9y=402
 -6x -4y=-292
 adding
 5y=110
 Clearing y:
 y=110/5
 y=22
 Answer:
 the price of a youth ticket is 22$
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A basketball player stands near the middle of the court and throws the ball toward the basket.
kompoz [17]

Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

Step-by-step explanation:

General equation of parabola in vertex form y= a(x-h)^2+k

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The  ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

y=a(x-18)^2+12  ---1

The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0

So, y = 6

So,6=a(0-18)^2+12

6=324a+12

-6=324a

\frac{-6}{324}=a

\frac{-1}{54}=a

Substitute the value in 1

So,y=\frac{-1}{54}(x-18)^2+12

Hence a function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

8 0
3 years ago
PLEASE HELP ASAP!!!!!!!! What is the volume of the prism?
AURORKA [14]
Well the answer is 13 and cannot be written in simplest form because 1/2 and 1/2 have the same denominator so you add them together and you get 2/2 which is a whole number then you add the other whole numbers but don’t forget the new whole number then add the 5 and you get 13 cm
4 0
3 years ago
Sports a pennant for the sports teams at lincoln high school is in the shape of an isosceles triangle. if the measure of the ver
PIT_PIT [208]
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3 years ago
The ticket to a ballet cost either $25 or $50. A total of 1,250 tickets , worth $50,000, were sold. If x represents the number o
Butoxors [25]

Let's assume

x represents the number of $25 tickets

y represents the number of $50 tickets

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so, we get

x+y=1250

So, cost of $25 tickets is 25x

So, cost of $50 tickets is 50y

Total cost of tickets =(cost of $25 tickets)+(cost of $50 tickets)

Total cost of tickets =25x+50y

we are given

worth $50,000, were sold

so, we get equation as

25x+50y=50000

we get system of equations as

x+y=1250

25x+50y=50000..............Answer


3 0
3 years ago
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quester [9]

1^81, 9^2, 3^4. the others are rather to high or to low

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