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mixas84 [53]
3 years ago
10

There were 532 people at the Nutcracker. If admission was $24 for adults and $16 for children and $10,272 was collected, how man

y adults and children attended? Write a system of equations and a solution statement.
Mathematics
1 answer:
anzhelika [568]3 years ago
4 0
X = # adults

y = # children


system

24x+16y=$10272
x + y =532

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sergeinik [125]

Answer:

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3 0
2 years ago
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
almond37 [142]

Answer:

First angle = 30°

Second angle = 60°

Third angle = 90°

Step-by-step explanation:

x + y + z = 180

y + z = 5x

z = y + 30

then:

y + (y+30) = 5x

2y + 30 = 5x

x = (2y+30)/5

then:

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{(2y+30)/5} + y + y+30 = 180

{(2y+30)/5} + 2y + 30 = 180

{(2y+30)/5} = 180 - 30 - 2y

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2y+30 = 5*150 + 5*-2y

2y+30 = 750 - 10y

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12y = 720

y = 720/12

y = 60°

x = (2y+30)/5

x = (2*60 + 30)/5

x = (120+30)/5

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Check:

x + y + z = 180°

30° + 60° + 90° = 180°

7 0
3 years ago
a city doubles its size every 64 years. if the population is currently 225,000 what will the population be in 128 years
ale4655 [162]

Answer:

450,000

Step-by-step explanation:

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Given

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Thus, the circumference of the circle is 9\pi\ in.  

8 0
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A reflection over the Y-axis would be the flipped point or set of points across the y axis while still retaining the same distance from the y-axis.

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