1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Darya [45]
3 years ago
14

Tickets for a touring production of Sweeney Todd cost $90 for orchestra seats and $60 for balcony seats. You purchase nine ticke

ts, some in the orchestra and some in the balcony, for a total cost of $720. How many orchestra tickets were purchased?
Mathematics
1 answer:
sertanlavr [38]3 years ago
8 0

Answer: 6 orchestra tickets were purchased

Step-by-step explanation:

orchestra purchased tickets = x

balcony purchased tickets = y

ou purchase nine tickets

total cost of $720

x + y = 9

90x + 60y = 720

----------------------------------------

x + y = 9 (*-60)

90x + 60y = 720

----------------------------------------

-60x - 60y = -540

90x + 60y = 720 (+)

----------------------------------------

30x = 180

x = 6

You might be interested in
A right triangular prism has a height of 26 cm and base edges of 10 cm, 24 cm, and 26 cm. What is the lateral area of the prism?
horrorfan [7]
The lateral area is 1560 cm².

The lateral area is the area of the lateral faces (the faces that are not bases).  The dimensions of these are:
24 by 26
10 by 26
26 by 26

These are all rectangles.  The area of each rectangle is given by length * width:
24*26 = 624
10*26 = 260
26*26 =676

624+260+676=1560
3 0
3 years ago
student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te
alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = \frac{1}{4}.

Thus, the probability that the student does not receive version A = 1-\frac{1}{4} = \frac{3}{4}.

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}

= (\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5

= (\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]

= (\frac{3}{4^4})[1+\frac{1}{16}]

= (\frac{3}{256})[\frac{17}{16}]

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

4 0
3 years ago
Determine if AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are parallel, perpendicular, or neither. Given: A (−1, 3), B (0, 5), C (2, 1), D (6, −1)
dolphi86 [110]

Answer:

perpendicular

Step-by-step explanation:

To determine if AB and CD are  parallel, perpendicular, or neither, we need to get the slope of AB and CD first

Given A (−1, 3), B (0, 5),

Slope Mab = 5-3/0-(-1)

Mab = 2/1

Mab = 2

Slope of AB is 2

Given C (2, 1), D (6, −1)

Slope Mcd = -1-1/6-2

Mcd = -2/4

Mcd = -1/2

Slope of CD is -1/2

Take their product

Mab * Mcd = 2 * -1/2

Mab * Mcd = -1

Since the product of their slope is -1, hence AB and CD are perpendicular

5 0
3 years ago
Write x=2 in Slope intercept form
SpyIntel [72]

Answer:

y= 2/1 + 0

Step-by-step explanation:

If there's not a y-int. it'll be 0.

4 0
2 years ago
Hannah purchased three items at the store for $7.05, $8.12, and $3.97. She paid for
vichka [17]

Answer:

She should receive $30.86

Step-by-step explanation:

$7.05 + $8.12 + $3.97 =19.14

50 - 19.14 = 30.86

6 0
3 years ago
Other questions:
  • Which expression could be used to calculate the length, in feet, of the rectangle?
    12·2 answers
  • Which trig functions are positive for angles terminating in quadrant IV
    14·1 answer
  • What is the sum of the first 20 terms of the AP 4,2,0
    12·2 answers
  • What is the graph of 3x + 5y = –15?
    7·2 answers
  • What is the solution of 4x - 6 = -6x - 4?
    13·1 answer
  • at a local grocery store apples cost $0.50 each and bananas cost $0.30 each. the expression 0.50x+0.30y can be used to find the
    8·2 answers
  • F the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its center point is (4, 6) (-4, 6) (4, -6)
    13·1 answer
  • 13. A certain town with a population of 100,000 has 3 newspapers: I, II, and III. The proportions of townspeople who read these
    11·1 answer
  • (I WILL GIVE BRAINLYIST)
    6·2 answers
  • Please help me! I will give brainly
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!