A movie theater has 400 seats. Tickets at the theater cost $8 for students, $10 for adults, and $7 for senior citizens. On a night when all the seats were sold, the theater made $3,535 from ticket sales. If the number of adult tickets sold was 10 less than the number of student and senior tickets combined, how many senior tickets were sold?
55 senior tickets
150 senior tickets
195 senior tickets
255 senior tickets

Answers

Answer 1

Answer:

55 senior tickets

Step-by-step explanation:

400 seats

students: $8

Adults: $10

Seniors: $7

All seats were sold and the total money they got was $3,535

Adult tickets sold was 10 less than the # of student and seniors combined.

8a+10b+7c=3535

a+b+c=400 now just solve for them

8a+10b+7c=3535

-8a-8b-8c=-3200

2b-c=335...

If you solve for the numbers, you'll get 55 tickets.


Related Questions

How many solutions does y=−2x−4
y=3x+3 have


Answers

Answer:

There is one solution

Answer:

It has one (-1.4,-1.2)

Step-by-step explanation:

I graphed both lines on desmos graphing calculator and they only crossed at one point.

answer quickly please Which number is the BASE?
2 = 8

Answers

Answer:

The base of the number is 8

a piggy bank has $6.95 and contains only nickles and dimes. If there are a total of 91 coins, how many nickles are there

Answers

Answer:

There are 43 nickels in the piggy bank.

Step-by-step explanation:

Given that:

Number of coins = 91

Worth of coins = $6.95 = 6.95*100 = 695 cents

Let,

x be the number of nickles

y be the number of dimes

According to given statement;

x+y=91     Eqn 1

5x+10y=695     Eqn 2

Multiplying Eqn 1 by 5

5x+5y = 455    Eqn 3

Subtracting Eqn 3 from Eqn 2

(5x+10y)-(5x+5y)=695-455

5x+10y-5x-5y=240

5y = 240

[tex]\frac{5y}{5}=\frac{240}{5}[/tex]

y = 48

Putting y=48 in Eqn 1

x+48=91

x=91-48

x= 43

Hence,

There are 43 nickels in the piggy bank.

In Miami, Florida, there is an 80% probability of extreme high winds on a specific day. How was this probability most likely determined

Answers

Answer:

80%

Step-by-step explanation:

Since this is an 80% chance we can say that on these days with same conditions, the probability of extreme high winds is 80% of the time in Miami.

What is the GCF of the polynomial given below?
60ax - 40ay + 50az

Answers

Answer: 10a, all of the numbers can be divided by 10a

10a (6x − 4y + 5z) = 60ax - 40ay + 50az

Advance Algebra Logarithm Task
Assume your friend, Natalie, has $10,000 to invest. Complete the following chart to show how
much she would earn if her money was invested in each of the specified accounts for 10 years.
Frequency of Annual interest Formula with values Amount after 10
compounding
substituted in
years
Quarterly 3.65%
Monthly
3.65%
Continuously
3.6%
rate
Which account would you suggest for Natalie? Continuously

Answers

9514 1404 393

Answer:

  3.65% monthly

Step-by-step explanation:

The same amount is invested for the same period in all accounts, so we only need to determine the effective annual rate in order to compare the accounts.

For compounding annual rate r n times per year, the effective annual rate is ...

  (1 +r/n)^n -1

For the same rate r, larger values of n cause effective rate to be higher. As a consequence, we know that 3.65% compounded quarterly will not have as great a yield as 3.65% compounded monthly. The effective rate for the monthly compounding is ...

  (1 +0.0365/12)^12 -1 = 3.712%

The effective rate for continuous compounding is ...

  e^r -1

For a continuously compounded rate of 3.6%, the effective annual rate is ...

  e^0.036 -1 = 3.666%

This tells us the best yield is in the account bearing 3.65% compounded monthly.

_____

If i is the effective annual rate of interest as computed by the methods above, then the 10-year account balance will be ...

  10000×(1 +i)^10

This is the formula used in the spreadsheet to calculate the balances shown.

Please help, will read you with Brainliest. Please check ALL that apply.​

Answers

Answer:correct answers are:

A.m<JPX=90°

B.XY & JK form right angles

E. JP=KP

F.XY⊥JK

Step-by-step explanation:

hope this helps

Are the equations y – 5 = 2(x – 1)and y - 3 = 2(x + 3) the same equation? Explain​

Answers

Answer:

No.

Step-by-step explanation:

y - 5 = 2(x - 1)

y = 2x + 3

y - 3 = 2(x + 3)

y = 2x + 9

Valeria's Cupcakes recently sold 3 pumpkin cupcakes and 9 other cupcakes. Considering this data, how many of the next 8 cupcakes sold would you expect to be pumpkin cupcakes? ​

Answers

Answer:  24 Pumpkin cupcakes.

Step-by-step explanation:

We know that:

They recently sold 6 Pumpkin cupcakes and 8 other cupcakes.

Then we can model this with the ratio  6:8

This means that for each 6 Pumpkin cupcakes sold, they also sell 8 of another type of cupcakes.

With this information, if they sell 56

write an equation in point slope form for the line through the given point with the given slope (-4, -3); m=8

Answers

Answer:

An equation in point-slope form for the line will be:

[tex]y - (-3) = 8 (x - (-4))[/tex]

Please check the attached line graph also.

Step-by-step explanation:

Given

The point (-4, -3)

The slope m = 8

To determine

Write an equation in point slope form for the line.

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

In our case,

(x₁, y₁) = (-4, -3)The slope m = 8

substituting the values m = 8 and the point (-4, -3)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-3) = 8 (x - (-4))[/tex]

Therefore, an equation in point-slope form for the line will be:

[tex]y - (-3) = 8 (x - (-4))[/tex]

Please check the attached line graph also.

HELP ONLY ANSWER IF YOU ARE TODALLY SURE I WILL GIVE BRAINLEST TO WHOEVER IS RIGHT WORTH 18 POINTS DON'T JUST ANSWER BUT READ IT THEN ASWESR

Which equation can be used to calculate the area of the shaded triangle in the figure below?

A rectangle is shown with a width of 6 ft and a length of 16 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey.

1. 2(16 × 6) = 192 square feet

2. 2(16 + 6) = 44 square feet

3. 1 over 2.(16 × 6) = 48 square feet

4. 1 over 2.(6 + 16) = 11 square feet

Answers

Option 3.
1/2(16x6)=48
1/2(96)=48
1/2(96)=48
48=48

Megan picked 15 blueberries on Monday, 35 on Tuesday, and 55 on Wednesday. Based on the pattern, how many blueberries will she pick on Thursday?

Answers

The Amount of blueberries will be 75 on Thursday

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!

Answers

Answer: C isn't correct.

Step-by-step explanation:

C is NOT correct

The equation that represents the situation is y = 50x not x = 50y

Hope I helped! :3

A mix of 32 quarters and dimes totals $6.35. Find the system of equations that would help you answer the question and then find how many quarters (x) and dimes (y) you would have?

Answers

Answer:

21 quarters and 11 dimes = 32 coins

Step-by-step explanation:

x + y = 32

0.25x + 0.10y = 6.35 [take the first equation and make it equal to x]

x = 32 - y [now take this equation and plug it in the above]

0.25 (32-y) + 0.10y = 6.35

8 - 0.25y + 0.10y = 6.35

8 - 0.15y = 6.35  [subtract 8 from both sides]

-0.15y = -1.65 [divide by -0.15 to isolate y]

y = 11 so there are 11 dimes

plug it into the first equation: x + 11 = 32; x = 21 so there are 21 quarters

1. (04.01 LC)
Which unit rate is equivalent to 14 miles per gallon? (1 point)

2 gallons/32 miles
32 miles/2 gallons
3 gallons/42 miles
42 miles/3 gallons

Answers

Answer:

42 miles/3 gallons

Step-by-step explanation: Multiplying 14 by 3 and 1 by 3 will give you 42/3, which keeps the unit ratio.

Answer:

42 miles/3 gallons

Step-by-step explanation:

can u pls help me with this question ​

Answers

Answer:

0.12$ , I'm probably wrong lolol

What is the answer to this ? PLEASE HELP I HAVE 3 minutes

Answers

Answer:

(2, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x

x = -y + 6

Step 2: Solve for y

Substitution

Substitute in x:                     y = 2(-y + 6)Distribute 2:                         y = -2y + 12Isolate y terms:                    3y = 12Isolate y:                               y = 4

Step 3: Solve for x

Define equation:                    x = -y + 6Substitute in y:                       x = -4 + 6Add:                                        x = 2

What is a point-slope equation of the line with slope -12 that goes through the point (5, 3)?
A. y- 3 = -12(x - 5)
B. y + 3 = 12(x + 5)
C. y + 3 =-12(x + 5)
D.y-3 = 12(x - 5)​

Answers

Answer:

A. y- 3 = -12(x - 5)

Step-by-step explanation:


Ms.Heinen's desk is 3 feet by 2 feet. What is the area of her desk?

Answers

Answer: The area would be 6 feet

Step-by-step explanation:

To find the area, we multiply the length and width

Whenever Jean sees the white streaks left in the sky by an airplane, she excitedly tells her kids it's Buzz Lightyear. One day, her son asked her how fast Buzz could fly. Jean, knowing that Buzz is really an airplane, told him about 500 miles per hour. How many feet per second can Buzz travel? Show your work, friends.

Answers

Answer:

The Buzz can travel 733.33 feet per second.

Step-by-step explanation:

An hour has 60 minutes, each of which has 60 seconds. So one hour has 60*60 = 3600 seconds.

The airplane can fly 500 miles per hour. Each mile has 5280 feet. So the plane can fly 500*5280 = 2640000 feet in one hour.

Per second, we have:

[tex]\frac{2640000}{3600} = 733.33[/tex]

The Buzz can travel 733.33 feet per second.

The concept of hope is nothing more than giving up. A word that holds no true meaning.

Answers

Answer:

lol fr

Step-by-step explanation:

Answer:

Big pp

Step-by-step explanation:

In ΔEFG, is it possible for segment GE to measure 4 units?


A. No, because 3 + 5 > 4, 5 + 4 > 3, and 4 + 3 > 5

B. Yes, because 3 + 5 4, 5 + 4 > 3, and 4 + 3 > 5

Answers

Answer:

Substitution

Step-by-step explanation:

We essentially have x = 180 and a+b+c = x.

So we are just substituting x for a+b+c

If $600 was placed in a savings account with an interest rate of 0.5%,
find the total amount in the account after 8 years and 3 months (8.25
years)?

Answers

I got it wrong so oof

a group of hikers is progressing steadily along up uphill trail. the graph shows their elevation

Answers

we can see the graph

There are 54 bookshelves in the library
and 3,240 books total.
How many books does
each shelf hold?

Answers

Answer:

60

Step-by-step explanation:

Assuming that all 54 shelves hold the same number of books its just a matter of dividing them (or sharing them equally) on each shelf.

3240 / 54 = 60

Each shelf holds 60 books.

Match the expression to the correct property that is shown.

Question 3 options:

Identity Property of Addition 1.
9+2+(4+3)=9+(2+4)+3

2.
y(xz)=(yx)z

3.
4+3+2=2+4+3

4.
5x ∙ 0=0

5.
-12 + 0 = -12

6.
−110×1=−110
7.
m∙4∙3=4∙m∙3

8.
4(3x+1)=12x+4




Associative Property of Addition


Commutative Property of Addition


Commutative Property of Multiplication


Identity Property of Multiplication


Multiplicative Property of Zero

Associative Property of Multiplication


Distributive Property

Answers

Answer:

Step-by-step explanation:

This is a help site, so I'll explain each property and see if you can match them yourself.

Associative property of addition, you can add 3 or more different numbers any which way, the sum will be the same.

Commutative Property of Addition - same as the associative property but with 2 numbers.

Identity Property of Multiplication - Any number multiplied by one is itself

Multiplicative Property of Zero: x * 0 = 0

Associative Property of Multiplication - Same as that of addition, yet with multiplication.

Distributive Property: Factoring Out.

EX: (12 x 15) = 3(4 x 5)

The scholastic assessment test is standardized to be normally distributed with a mean μ=500 and a standard deviation σ=100. What percentage of SAT scores falls
a. between 500 and 600
b. between 400 and 600
c. between 500 and 700
d. between 300 and 700
e. above 600
f. below 300

Answers

Answer:

68.27%.

Step-by-step explanation:

Here we have [tex]\mu=500,\sigma=100[/tex]

Let X shows the SAT score. z-score for X=400 is

[tex]z=\frac{X-\mu}{\sigma}=\frac{400-500}{100}= -1[/tex]

z-score for X=600 is

[tex]z=\frac{X-\mu}{\sigma}=\frac{600-500}{100}=1[/tex]

So the proportion of SAT scores falls between 400 and 600 is

[tex]P(400<X<600)=P(-1<z<1)=0.6827[/tex]

hence, required percentage is 68.27%.

one can use the same method to find the% for all other cases as

well.

Which ordered pair, when graphed, would not show a function?
(miles per gallon, gallons in tank)
(length of shadows/time of day)
(temperature in F, temperature in C)
O (number of employees, number of hours worked)

Answers

Answer: its the last answer I got it right

be quick! i will mark the correct one brainliest :)

Answers

Whats the queastion think
abcdefghijklmnopqrstuvwxyz

what percent is a is b? pls help i need it right away

Answers

Do you mean a grade in percentage?

Answer:

what ???????????????????? repost this question

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