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sweet [91]
3 years ago
6

A movie theater charges $9.50 for adults and $4.50 for children. For a recent showing of a movie, the theater sold 33 tickets an

d made a total of $158.50 . How many children's tickets and how many adult tickets were sold?
Mathematics
1 answer:
choli [55]3 years ago
5 0

Answer:

The  number of children's tickets sold was 31 and the number of  adult tickets sold was 2

Step-by-step explanation:

Let

x ---> the number of children's tickets sold

y ---> the number of  adult tickets sold

we know that

the theater sold 33 tickets

so

x+y=33 -----> equation A

the theater made a total of $158.50

so

4.50x+9.50y=158.50 ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (31,2)

see the attached figure

therefore

The  number of children's tickets sold was 31 and the number of  adult tickets sold was 2

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musickatia [10]

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3 years ago
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saul85 [17]

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8 0
3 years ago
Suppose an isosceles triangle ABC has A = 45° and b = c = 4. What is the length of a^2?
Mila [183]
Since b = c, the angles B and C are congruent.
180 - 45 = 135
135/2 = =67.5

A = 45
B = 67.5
C = 67.5
a = ?
b = 4
c = 4

Since we know two sides and all three angles, we can use the law of sines to find a.

b/sin B = a/sin A

4/(sin 67.5) = a/(sin 45)

a = 4(sin 45)/(sin 67.5)

a^2 = (4(sin 45)/(sin 67.5))^2

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4 0
3 years ago
Solve for x <br><br> Please help
Elodia [21]

Answer:

The answer to your question is below

Step-by-step explanation:

1) Alternate interior angles measure the same

       10x - 10° = 100°

       10x = 100° + 10°

        10x = 110°

           x = 110° / 10°

           x = 11°

2) Alternate exterior angles measure the same

       x + 99° = 90°

       x = 90° - 99°

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3) Supplementary angles measure 180°

       (6x + 12) + (14x + 8) = 180°

        6x + 12 + 14x + 8 = 180°

        20x + 20 = 180

        20x = 180 - 20

        20x = 160

            x = 160 / 20

            x = 8

4)  Alternate exterior angles measure the same

           26x + 1 = 131°

            26x = 131° - 1°

            26x = 130°

            x = 130° / 26°

            x = 5

5) Consecutive interior angles measure 180°

             x + 100 + 85° = 180°

             x + 185 = 180

            x = 180 - 185

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6) Corresponding angles measure the same

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              x = 77 / 7

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7) Supplementary angles measure 180°

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                  x = 6

8) Consecutive interior angles measure 180°

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9) Corresponding angles measure the same

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5 0
3 years ago
The table shows the results of an experiment in which subjects taking either a drug or a placebo either reported fatigue or did
Lady bird [3.3K]

Answer:

Therefore, the correct options are;

-P(fatigue) = 0.44

P(fatigue \left |  \right drug) = 0.533

--P(drug and fatigue) = 0.32

P(drug)·P(fatigue) = 0.264

Step-by-step explanation:

Here we have that for dependent events,

P(A \, and \, B)= P(A)\times  P(B\left |  \right A )

From the options, we have;

P(fatigue \left |  \right drug) = 0.533

P(drug) = 0.6

P(drug and fatigue) = 0.32

Therefore

P(drug and fatigue) = P(drug)×P(fatigue \left |  \right drug)  

= 0.6 × 0.533 = 0.3198 ≈ 0.32 = P(drug and fatigue)

Therefore, the correct options are;

-P(fatigue) = 0.44

P(fatigue \left |  \right drug) = 0.533

--P(drug and fatigue) = 0.32

P(drug)·P(fatigue) = 0.264

Since P(fatigue) = 0.44 ∴ P(drug) = 0.264/0.44 = 0.6.

4 0
3 years ago
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