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olchik [2.2K]
3 years ago
13

suppose that there are two types of tickets to a show: advance and same-day. the combined cost of one advance ticket and one sam

e-day ticket is $65. for one performance, 25 advance tickets and 40 same-day tickets were sold. the total amount paid for the tickets was $2150. what was the price of each kind of ticket?
Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0

Answer:

The Answer is: Price of Advanced Tickets: $30. Price of Same Day tickets: $35.

Step-by-step explanation:

Amount of Advanced + Amount of Same = $65

a + s = $65

a = 65 - s

25 tickets times the adult price plus 40 tickets at the same day price equals $2,150. Setup the equation, substitute, and solve for s:

25a + 40s = $2150

25(65-s) + 40s = 2150

1625 - 25s + 40s = 2150

15s = 2150 - 1625

15s = 525

s = 525 / 15 = $35.

a = 65 - 35 = $30.

Proof:

25(30) + 40(35) =

$750 + $1,400 = $2,150

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Alan drew several three-dimensional figures. Which of the following figures has exactly 5 faces and 5 vertices?
Marat540 [252]

Answer:

Rectangular Pyramid

Step-by-step explanation:

we know that

A <u><em>rectangular pyramid</em></u> is a three-dimensional figure that has a rectangular base and four lateral triangular faces

so

The total number of faces is 5 (one rectangular face plus four triangular faces)

The total number of vertices is 5 (four at the base and one at the apex)

5 0
3 years ago
1) Which of the following has a probability of 0?
melamori03 [73]

Answer:

3. rolling a sum of 20 with two standard dice

Step-by-step explanation:

If something has a probability of 0 then there is no chance of it happening

A standard die goes up to 6. The max sum you can get by rolling two dice would be 12 as 6 + 6 = 12. So you have no chance of rolling a sum of 20 with two standard dice therefore the probability would be 0.

6 0
2 years ago
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6 over 7 subtracted by 1 over 7
Rus_ich [418]

Answer:

5/7

Step-by-step explanation:

6/7-1/7=5/7

5 0
3 years ago
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Help me pleaseeeeeeeeeeeeeeeeee
8_murik_8 [283]
<h2>Answer:</h2><h2>A. 4 13/24</h2><h2 /><h2 /><h2>Hope this helps!!</h2>
7 0
3 years ago
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Can someone help me with this page please I have an exam tomorrow, I need to remember the answers unfortunately :)
zimovet [89]

Answer:

1. B. ∠2 and ∠6

2. 50°

3. Option 1, Option 5, and Option 6.

4. 133°

<u>Work for question 4:</u>

180°-47° = 133°

Step-by-step explanation:

1.

Alternate means the angles are on different sides of the transversal (horizontal line in this case). Interior means they are between the parallel lines (lines a and b in this case). (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles but only the first is an option.

2.

∠10 = ∠8+∠7 (corresponding angles so they are congruent)

∠10 is 140° and ∠8 is a right angle

140-90 = 50

∠7 = 50°

∠4 = 50° (∠7 and ∠4 are vertical angles so they are congruent)

3.

Sense all angles of a triangle add up to 180 and the ratio of angles is 3:3:6 the we can find the angle with the equation x+x+2x=180

Simplify.

4x=180

Solve by dividing 4 from both sides

x=45

so it is a 45, 45, 90 triangle. (right triangle because the 90 and icoceles because other 2 angles are congruent so option 5 is correct)

m∠J= 45°

m∠K= 45° (Option 1 is correct)

m∠L= 90° (Option 6 is correct)

4.

I honestly don't see how you can solve this without making assumptions so I will make assumptions.

Assuming the whole figure is symmetrical vertically ∠1 is congruent to the same spot on the right side of the shape. This angle would be supplementary to the angle of the angle outside of the shape adjacent on the right making the angle (which is corresponding, therefore congruent to ∠2) 133°.

8 0
2 years ago
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