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Katyanochek1 [597]
3 years ago
10

A 6000​-seat theater has tickets for sale at ​$25 and ​$40. How many tickets should be sold at each price for a sellout performa

nce to generate a total revenue of ​$174,000​?
Mathematics
1 answer:
Lena [83]3 years ago
4 0

Step-by-step explanation:

Let x be the amount of tickets sold for $25 and y be the amount of tickets sold for $40, since there are 6000 seats theatre then;

x+y = 6000 .............. 1

If x tickets cost $25 and y tickets are sold for $40 with total revenue of ​$174,000, then;

25x + 40y = ​174,000................ 2

From 1, x = 6000-y ............ 3

Substitute equation 3 into 2:

25x + 40y = ​174,000.

25(6000-y) + 40y = ​174,000

150,000-25y + 40y = 174,000

150,000+15y = 174,000

15y = 174,000-150,000

15y = 24,000

y = 24,000/15

y = 1600

Substitute y = 1600 into equation 3:

x = 6000-y

x = 6000-1600

x = 4400

<em>Hence 4400 $25 tickets and 1600 $40 tickets must be sold to generate a revenue of $174,000</em>

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BartSMP [9]

Step-by-step explanation:

a. (3 - 2/3) ÷ (4/3 x 7)

= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3

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= 7/3 x 3/28

= 21/84

= (21 x 1) / (21 x 4)

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b. 2/3 ÷ 5/6 - 2/5

= 2/3 x 6/5 - 2/5

= 12/15 - 2/5

= (3 x 4) / (3 x 5) - 2/5

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c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)

= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]

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If you have any doubt, then you can ask me in the comments.

6 0
3 years ago
Read 2 more answers
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SOVA2 [1]

Answer:

19 28/33

Step-by-step explanation:

lets work out the whole number parts first:

= 19 + 17 - 16 = 20.

4/12 + 2/11 - 6/9

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Find the LCM of the denominators:

3 = 3

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9 = 3*3

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So we have:

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So the answer is  20 - 5/33

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3 years ago
If three parallel lines are cut by a transversal and one angle is measured to be 90 degrees, what can be said of the remaining?
V125BC [204]

Answer: A. There all 90 degrees


Step-by-step explanation:

Given: Three parallel lines are cut by a transversal and one angle is measured to be 90 degrees.

We know that if two lines cut by transversal the following pairs are equal:

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If one angles measures 90°, then its supplement would be 90°.

Then by using above properties , we will get measure of all angles as 90°.



8 0
3 years ago
Read 2 more answers
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Answer:

  (a) no

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Step-by-step explanation:

The two questions are asking essentially the same thing. There is nothing that indicates DC ≅ DB or that AC ≅ AB. One (both) of these conditions is (are) required for ΔBAC to be isosceles, so that AD is both a perpendicular bisector of BC and a bisector of angle BAC.

There is not enough information to answer either question affirmatively.

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