the theatre charges $9 for each adult ticket and $6 for each child ticket. the theatre sold 144 tickets for the first showing of the new release. the total money collected from ticket sales for that show was $1164. write a system of equations that could be used to find the number of child tickets and the number of adult tickets sold, and solve the system algebraically.

Answers

Answer 1

Answer: x=number of adult tickets
y=number of child tickets
I suggest this system of equations:
x+y=144
9x+6y=1164
we can solve this system of equations by substitution method.
x=144-y

9(144-y)+6y=1164
1296-9y+6y=1164
-3y=1164-1296
-3y=-132
y=-132/-3=44

x=144-y
x=144-44=100

Answer: the theatre sold 100 adult tickets and 44 child tickets.

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Answers

So to do this, we have to get rid of one of the variables by adding or subtracting the two equations together.
I will get rid of y. So, we can multiply the second equation by 2. This gives us
2x-2y=10
Now, we can add both equations
This gives us 7x=-14
Therefore, x = -2
Plug that into another equation.
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Therefore, y = -7

Hope this helped!! :D

5x + 2y = -24 ⇒ 5x + 2y = -24
1x - 1y = 5 ⇒ 2x - 2y = 10
      7x = -14
   7    7
   x = -2
      x - y = 5
      -2 - y = 5
      + 2    + 2
   -y = 7
   -1   -1
   y = -7
   (x, y) = (-2, -7)

HELPPPP MEEE PLEASEEEE

Answers

The Answer Is B)...................

Covert 3/8, 2/9, 4/7, and 1/5 to decimal

Answers

Answer:

3/8=0.375

2/9=0.223

4/7=0.571

1/5=0.20

Can a triangle have sides with the given lengths ?

Answers

Answer:

NO,YES,NO

Step-by-step explanation:

This question was on the most recent SAT Mathematics Level 2 test. If two spheres with unequal diameters intersect, what could be the intersection?a. a point
b. a circle
c. a sphere
d. a point or a sphere
e. a circle or a sphere

99 points. Please provide a detailed and explanative answer.

Answers

It could be a point or a circle.

If the two spheres are tangent, then the intersection is by definition a point.

Since the two spheres are of unequal diameter, their intersection can't be a sphere (that can only happen if the spheres are of the same diameter and at the same point, then they overlap everywhere).

Now what happens if the two spheres are drawn close to each other a random way ? Well, they will intersect along a circle [see the image attached].

If you want more explanations/..., feel free to ask.

A Circle or point is your answer

See attached pictures

2. Consider the numbers 4/13 and 3/10 .a. Compare the numbers.
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Answers

Set the denominators equal to each other. 4/13 becomes 40/130 and 3/10 becomes 39/130. Therefore, 3/10 is slightly less. A number in between would be 39.5/130 which is equivalent to 79/260

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