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VladimirAG [237]
3 years ago
15

He’ll help help help

Mathematics
2 answers:
Burka [1]3 years ago
8 0
Coordinate for A (0,4)
coordinate for B (0,5)
nadya68 [22]3 years ago
5 0

Answer:

Of A is (0,4)

Of B is (0,5)

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A movie theater has a seating capacity of 197. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
yarga [219]

Answer: 74 children attended

86 students attended

37 adults attended

Step-by-step explanation:

Let x represent the number of children that attended.

Let y represent the number of students that attended.

Let z represent the number of adults that attended.

The movie theater has a seating capacity of 197. It means that

x + y + z = 197- - - - - - - - - - - - -1

The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. If the total ticket sales was $ 1416, It means that

5x + 7y + 12z = 1416- - - - - - - - - - 2

There are half as many adults as there are children. It means that

It means that

z = x/2

x = 2z

Substituting x = 2z into equation 1 and equation 2, it becomes

2z + y + z = 197

y + 3z = 197- - - - - - - - - - - - -3

5 × 2z + 7y + 12z = 1416

10z + 7y + 12z = 1416

7y + 22z = 1416- - - - - - - - - - - 4

Multiplying equation 3 by 7 and equation 4 by 1, it becomes

7y + 21z = 1379

7y + 22z = 1416

Subtracting, it becomes

- z = - 37

z = 37

x = 2z = 2 × 37

x = 74

Substituting x = 74 and z = 37 into equation 1, it becomes

74 + y + 37 = 197

y = 197 - 74 - 37

y = 86

5 0
3 years ago
How to convert angle in radians to degrees?
jek_recluse [69]
360° = 2π
2 = 360° / π
1 rad = 360° / 2π
3 0
3 years ago
Find the midpoint of the coordinates (-2,1) and (4,-4)
kow [346]
  • (-2,1)
  • (4,-4)

\\ \rm\longmapsto P(x,y)

\\ \rm\longmapsto \left(\dfrac{-2+4}{2},\dfrac{1-4}{2}\right)

\\ \rm\longmapsto \left(\dfrac{2}{2},\dfrac{-3}{2}\right)

\\ \rm\longmapsto \left(1,\dfrac{-3}{2}\right)

6 0
2 years ago
What is the value of y in the parallelogram below?<br> G<br> 108<br> 3y<br> D<br> E
Arlecino [84]

Answer:

C

Step-by-step explanation:

In a parallelogram, consecutive angles are supplementary, sum to 180° , so

3y + 108 = 180 ( subtract 108 from both sides )

3y = 72 ( divide both sides by 3 )

y = 24 → C

5 0
3 years ago
A survey was done that asked students to indicate whether they enjoy reading or playing video games.
Xelga [282]
8:1 because it's just and 8 to a 1
5 0
3 years ago
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