The school sold 300 tickets to the theatre performance. They sold adult tickets for $9 each and student tickets for $6 each. They made a total of $2, 190. How many students were in attendance?

PLEASE HELP! I need to show work

Answers

Answer 1

Answer:

170 students were attending

Step-by-step explanation:

use a system of equations:

[tex]\left \{ {{x+y=300} \atop {9x+6y=2190}} \right.[/tex]  

let x be the adults and y be the students

[tex]\left \{ {{-9(x+y=300)} \atop {9x+6y=2190}} \right.[/tex]    multiply the top equation by -9 and add the two systems together to cancel out x. you are then left with:

[tex]-3y=-510[/tex]

divide both sides by -3 to leave y alone:

[tex]\frac{-3y}{-3}=\frac{-510}{-3}[/tex]

that would leave you with:

y=170


Related Questions

PLEASE HURRY!

Type the correct answer in each box.
The table shows Alice's age (a) and her daughter Martha's age (m). Complete the table and the equation.

Alice’s Age in Years
(a) Martha’s Age in Years
(m)
28 6
33 _
37 15
41 19
48 _


This equation relates Alice’s and Martha's ages in years.

Alice’s age (a) = Martha’s age (m) + _

Answers

Answer:

33-11

48-26

Alice’s age (a) = Martha’s age (m) + 22

Step-by-step explanation:

In order to find the blank spots you would need to find the difference in the filled spots. We are trying to figure out the difference which is subtraction.

28 - 6 = 22

To make sure we are correct we would do another problem.

37 - 15 = 22

So in order to find Martha's age when Alice was 33, we would subract 22.

33 - 22 = 11

Same when Alice was 48.

48 - 22 = 26

And the last equation is asking the difference between them, which would be 22.

Answer: 11 and 26

Step-by-step explanation:

hope this helps :)

The ratio of children to adults at a movie theater was 8:5. The theater sold 120 children tickets
that evening. How many adults attended the theater that night? How many tickets did the theater
sell altogether?

Answers

Answer:

75 adults

195 total tickets

Step-by-step explanation:

8:5

120:x

what is the perimeter, in centimeters, of a right triangle that has leg lengths of 8centimeters and 11 centimeters? round to the nearest tenth

Answers

Answer:

90

Step-by-step explanation:

8 x 11 = 88

So now you have to add 2 to get to the nearest 10. ;)

7. What is the DEGREE of the following binomial:
3x-2

Answers

I believe the answer is 1

Can you please help me
Step-by-step explanation please

Answers

Answer:

x=9

Step-by-step explanation:

It’s a ratio.

2/6=5/(6+x)

cross-multiply

12+2x=30

2x=30-12

2x=18

x=9

Or even more simply:

2/6=3/x

2x=18

x=9

What are the slope and y intercept of the linear function that is represented by the table

Answers

Answer:

Slope of the line is 3

Y-intercept is (3/2) three-halves

Explanation:

I saw this also on Brainly! Hope this helps! :)

using binomial expansion evaluate (0.99)^6​

Answers

Answer:

.92367 I think. I'm I'm wrong I'm sorry

What is the slope of y = -x + 7?

Answers

Answer:

The slope is -1

helppppppppppppppppppppp

Answers

We can apply the Pythagorean theorem:

c= (SQ)

a=RQ = 4

b=RS = 4

c²=a²+b²

c=√(16+16)

c=√32

c=4√2

SV=0,5*SQ

SV=0,5*c

SV=√2

Using the data from the table, which statements are correct?
A)
The ratio of Y is consistent.
Х
G
B)
The ratio of Y is not consistent.
Х
C)
The table represents a proportional relationship.
D)
The table does not represent a proportional relationship.
E)
The graph of the data shown on the table is a straight line.

Answers

Answer: The table represents a proportional relationship.

Which table represents a linear function?
Х
1
2
3
4
y
--2
-6
-2
-6
Х
1
2
3
4
у
-2.
-5
-9
-14
Х
1
2
3
4
y
-2
-10
-18
-26
Х
1
2
у
|--2
-4
O

Answers

Answer:

The last table is the answer

Step-by-step explanation:

The last table has a constant slope of -3, hence it represents a linear function.

Table of functions

From the given table, we need to determine which of the table is a linear table.

To determine that, we must check which of the table has a constant rate of change

Looking at the last table;

Slope = -4-(-2)/2-1
Slope = -4+1/1

Slope = -3

Since the last table has a constant slope of -3, hence it represents a linear function.

Learn more on function here: https://brainly.com/question/3632175

A figure is reflected across the x-axis, then reflected across the y-axis.
Which of the transformations will not always produce the same result?

A. Reflection of each point on the figure across the origin
B. Rotation of 180°
C. Reflection across the y-axis, then across the x-axis
D. Reflection across the line y=x

Answers

I think that the answer is or might be B

The tape diagram represents an equation. w 1.3 2.7

Answers

Answer:   2/3

Step-by-step explanation:

Answer: w + 1.3 = 2.7

Step-by-step explanation: i did it in khan academy ∩(︶▽︶)∩ HOPE IT HELPS

Home work
Give (2) advantages and
disadvantages of modern
and traditional Kitchen​

Answers

Answer:

modern kitchen=sandwich,Chinese food etc.

traditional kitchen = roti,sabji indian food etc.

Find the missing lengths or missing angles

Answers

Answer:

hj=6

because it's angle are equal and equilateral triangle have equal angles so, the length is 6

The missing lengths is hj = 6

Find the slope from the graph.

Answers

Answer:

1/6

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

rise=-2

run=3

rise/run(slope)=-2/3

A class of 37 students took a test worth 100 points. The five-number summary of their scores is 55, 67, 73, 81, 98. Identify the FALSE statement: Group of answer choices At least 25% of the students scored a 67 or below. At least 18 students scored below a 67. At least 9 students scored between 67 and 73. At least 25% of the students scored an 81 or above.

Answers

Answer:

At least 18 students scored below a 67.

Step-by-step explanation:

Given the 5 number summary of scores obtained by 37 students in a test worth 100 points :

55, 67, 73, 81, 98

Minimum = 55

Q1 = 67

Q2 = 73

Q3 = 81

Maximum = 98

Q1 = first quartile = 25%

Atleast 25 % scored below 67 (True)

25% of 37 students = 0.25 * 37 = 9.25

Atleast 9 students scored below 67 (True)

Median, Q2 = 50%

Score between Q2 and Q1 = 50% - 25% = 25% ;

Hence, atleast 25 students scored between 73 and 67 ; meaning (0.25 *37) = 9.25 students Hence. Atleast, 9 students scored between 73 and 67 (True)

Third quartile = 75%

Percentage above third quarterile = (100 - 75)% = 25%

Hence, atleast 25% scored above 81 (True)

The false statement is At least 18 students scored below a 67.

If a=-9 and b= -4, what is the value of a + b?
0-5
5
-13
13

Answers

Answer:

The answer is -13.

Step-by-step explanation:

-9   +   -4    =  -13

What is the length of the longest side of a triangle that what is the length of the longest side of a triangle that has vertices at (-4,2), (-4,6), and (4,2)?
O A.
415 units
OB.
573 units
OC.
73 units
OD.
V90 units

Answers

Answer:(-4,6)

i dunno it in units lol sowwy

Step-by-step explanation:

x/(x-2)*(x+2)*(x-1) into partial fraction
​no matter how many times i redo it my answers just not matching with that of my books. can we have different answers?

Answers

Answer:

((-1 + x) (2 + x) X)/(-2 + x)

Step-by-step explanation:

1 (x^(2)x)/(x-2)+(xx)/(x-2)-(2x)/(x-2)

2 (x(x+1)-2)x)/(x-2)

3 (x(xx+x)-2x)/(x-2)

4(x^(2)x+xx-2x)/(x-2)

5 (-2 + x + x^2) X)/(-2 + x)

Root

X = 0 , X-2=0

Roots

X=-2

X=1

Can someone explain to me how to do this problem?
x • 1 + x/1 =

Answers

x • 1 + x/1
x + x/1
2x/1
=2x

1/2
¿Cuántos envases de 1/2 de litro
se pueden llenar con el líquido de
una tina de 12 litros?​

Answers

Es 24.......................

please tell fast plzzzzzz​

Answers

Step-by-step explanation:

1x+4x=180(sum of supplementary angles)

5x. =180

x. =180/5

x. = 36

Please help me with steps

Answers

Answer:

224 cm³

Step-by-step explanation:

Decompose the figure into two cuboid.

Volume of the bigger cuboid = L*W*H

L = 7 cm

H = 7 cm

W = 4 cm

Volume of the bigger cuboid = 7*7*4 = 196 cm³

Volume of smaller cuboid = L*W*H

L = 7 cm

W = 2 cm

H = 2 cm

Volume of smaller cuboid = 7*2*2 = 28 cm³

✅Volume of the figure = 196 cm³ + 28 cm³ = 224 cm³

One fifths the difference between 2/5 and 1/2

Answers

Answer:

1/50

Step-by-step explanation:

1/2 - 2/5 = 5/10 - 4/10 = (5-4)/10 = 1/10

1/5 * 1/10 = 1/(5*10) = 1/50 = 0.02

Answer:

1/50

Step-by-step explanation:

1/2 - 2/5 = 5

/10 - 4/10 =

1/10 / 5 =

1/50

Hope that helps!

A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.

How long is each piece?

2 inches
3 inches
4 inches
6 inches

Answers

Answer:

3 inches

Step-by-step explanation:

Answer:

3 in

Step-by-step explanation:

Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the variance. Round answer to 4 decimal places. Answer:

Answers

Answer:

a) P(X=1) = 0.302526

b) P(X=5) = 0.010206

c) P(X=3) = 0.18522

d) P(X≤3) = 0.92953

e) P(X≥5) = 0.010935

f) P(X≤4) = 0.989065

If helpful, please mark as brainliest! =)

Given a random variable x following binomial distribution. If n = 25 and p = 0.85, the variance = 3.1875.

What is variance of binomial distribution?

Variance of the binomial distribution is a measure of the dispersion of the probabilities with respect to the mean value. The variance of the binomial distribution is σ² = npq, where n is the number of trials, p is the probability of success, and q is the probability of failure.

Given random variable x follows binomial distribution.

n = 25

p = 0.85

q = 1 - 0.85 = 0.15

variance = npq = 25 * 0.85 * 0.15 = 3.1875

Learn more about variance of binomial distribution here

https://brainly.com/question/19052146

#SPJ3


What are the coordinates of the x-intercept of the line 3x - 2y = 12?

Answers

Answer:

(4,0)

Step-by-step explanation:

Plz help! Answer at least one of these questions and i will give you brainly! It’s ok if you don’t know them all!

Answers

for number 3 it is 56 pints! i’ll do the other ones in a second
3: 7gallons = 56 pints

8 slices of pizza and 5 sodas cost $36.50. 4 Slices of pizza and 10 sodas cost $37. How much does a slice of pizza cost? How much does a soda cost?


PLEASE HELP

Answers

Step-by-step explanation: If we use the variable p to represent our pizzas and s to represent our sodas, if our first equation states than 8 slices of pizza and 5 sodas cost $36.50, that's 8p + 5s = 3650.

Notice that I expressed cost in terms of cents so

that we can avoid having to deal with decimals.

In our second equation, 4 slices of pizza and

10 sodas cost $37, that's 4p + 10s = 3700.

Now let's rewrite our two equations on top of one another.

8p + 5s = 3650

4p + 10s = 3700

To solve this system of equations, I would use addition.

I would multiply the bottom equation by -2

to create a situation where our p's will cancel.

When we do that, we get -8p - 20s = -7400.

Now rewrite the equations once again ~

8p + 5s = 3650

-8p - 20s = -7400

Now add the equations together.

So we have -15s = -3,750.

Divide both sides by -15 and s = 250.

Remember that I expressed cost in terms of cents so

since s = 250, it really means that a soda is $2.50.

Now just plug an s back in for the s in one equation.

When we do this, we find that p = 300.

So a pizza is $3.00

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