A school dance sold 2 types of tickets: one for freshman/sophomores (9th/10th graders), and one for juniors/seniors (11th/12th graders). The freshman/sophomore tickets cost $8, and the junior/senior tickets cost $6. They sold a combined total of 525 tickets, and earned a total of $4600. How many tickets of each type did the school sell? Write and show all algebra work; you cannot use graphing to solve this.

Answers

Answer 1

9514 1404 393

Answer:

freshman/sophomore: 725junior/senior: -200

Step-by-step explanation:

It is convenient to let a variable represent the number of the highest-price tickets sold. We'll use x for that. Then the number of lower-price tickets sold is 525 -x and the total revenue is ...

  8x +6(525 -x) = 4600

  2x = 1450 . . . . . . . . . . . . subtract 3150

  x = 725

  525 -x = -200

__

The school sold 725 freshman/sophomore tickets and -200 junior/senior tickets.

_____

Comment on the question

There is apparently an error in the question somewhere. The average revenue per ticket is ...

  $4600/525 ≈ $8.76

You cannot sell $6 and $8 tickets and earn more than $8 per ticket sold. (Average revenue must be between $6 and $8 per ticket.)

__

If we assume a typo in revenue, and that it should be $3600, then the sales will be 225 freshman tickets and 300 senior tickets.


Related Questions

What is 6 x 7 ones??

Answers

Answer:

42 it is the answer i think

Step-by-step explanation:

6 × 7 = 42

6×1 = 6

6×2 = 12

6×3 = 18

6×4 = 24

6×5 = 30

6×6 = 36

6×7 = 42

6×8 = 48

6×9 = 54

6×10 = 60

Ordena, de menor a mayor, las siguientes
medidas de masa.
11.6 mg, 1021 ug, 0.6 cg, 0.31 mg

Quien me puede ayudar

Answers

1021 hope this helps

NUMBER 3 PLEASEEEEEEEE

Answers

Answer:

(-1,3), (1,0)

Step-by-step explanation:

The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.

Answers

Answer:

Percent 40% Fraction 4/10 or 40/100 Decimal .40

Step-by-step explanation:

In a certain community, 8% of all adults over 50 have diabetes. If a health service in this community correctly diagnoses 95% of all persons with diabetes as having the disease and incorrectly diagnoses 2% of all persons without diabetes as having the disease, find the probabilities that
a) the community health service will diagnose an adult over 50 as having diabetes.
b) a person over 50 diagnosed by the health service as having diabetes actually has the disease.

Answers

Answer and Step-by-step explanation:

Solution:

Given:

Let A is the event of a person over 50 diagnosed by health service.

B1 is the event that an adult over 50 actually has diabetes.

B2 is the event that an adult over 50 does not have diabetes.

P (B1) = 8% = 0.08

And P (B2) = 1 – P (B1)

                  = 1 – 0.08

                  = 0.92

Correctly diagnose of all persons with diabetes= 95%

P (A/B1) = 0.95

Incorrectly diagnose of all persons without diabetes=   2%

P (A/B2) = 0.02

(a) ) the community health service will diagnose an adult over 50 as having diabetes.

P (B1) P (A/B1) = (0.08) (0.95) = 0.076

P (B2) p (A/B2) = (0.92) (0.02) =0.0184

P (B1) P (A/B1) + P (B2) p (A/B2) =  0.076 + 0.0184

                                                     = 0.0944

(b)  A person over 50 diagnosed by the health service as having diabetes actually has the disease.

By using formula:

P (B1/A) = P (B1) P (A/B1) / P (B1) P(A/B1) + P (B2) P (A/B2)

Put all the given values:

= (0.08) (0.95) / (0.08) (0.95) + (0.92) (0.02)

=0.076 / 0.076 + 0.0184

=0.076 / 0.0944

= 0.8050

Using conditional probability, it is found that there is a:

a) 0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.

b) 0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

Item a:

The percentages of a positive test is:

95% of 8%(have diabetes).2% of 92%(do not have diabetes).

Hence:

[tex]P(A) = 0.95(0.08) + 0.02(0.92) = 0.0944[/tex]

0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.

Item b:

Event A: Positive test.Event B: Has the disease.

From item a, [tex]P(A) = 0.0944[/tex].

The probability of both a positive test and having the disease is:

[tex]P(A \cap B) = 0.95(0.08)[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.08)}{0.0944} = 0.8051[/tex]

0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.

A similar problem is given at https://brainly.com/question/14398287

Rachel is driving her car at a constant 60 miles per hour. If she drives for four hours, what is the
total distance she drives?

Answers

Answer:

240

Step-by-step explanation:

60 x 4

Answer:

240 miles

Step-by-step explanation:

If she's going 60 miles per hour and she drives 4 hours then you multiply those two numbers together and get that she has drove 240 miles.

You pay $25 each month for satellite TV, plus $1.50 for every movie you purchase. Write and solve an equation to find the number of movies purchased during a month with a total bill of $38.50

Answers

$38.50=1.50x+$25 where x is the number of videos ordered during the month

Answer

9 movies

Step-by-step explanation:

$25 - 38.50 = $13.50

13.50/ $1.50 = 9

7th grade help me pleasee

Answers

Answer is 16 because 27 plus (-11) equals 16

What fraction is equal to 5/7

Answers

The answer is

[tex]\frac{10}{14} \frac{15}{21} \frac{25}{35} \frac{30}{42} \frac{35}{49}[/tex]

To learn more, take a look at this chart please.

Answer:

Any of these

10/14

15/21

20/28

etc.

Step-by-step explanation:

Basically, if you multiply the fraction by the same number, it will be equal.

Miss Young is making fruit baskets to send to her 7 cousins. in each basket she puts a g green apples. she puts three times as many red apples in each basket.
Which expression represents the total number of apples Miss Young sends her cousins. choose all that apply.
g +3g
7(g+3g)
7+g+3g
7g+7(3g)
28g
7+4g​

Answers

Answer: 7(g + 3g) , 7g + 7(3g) , and 28g

Step-by-step explanation: I got it wrong and it showed me the answers so here you go


A large banquet room holds 288 people with each table seating 8. How
many tables will the banquet hall have without going over its capacity?*

Answers

Answer:

The answer is 36

Step-by-step explanation:

First you have to divide 288 by 8 and then you have to see how many times 8 will go into 2 it can't so see how many times it will go into 28 which is 3 and you will get 24 then you subtract 24 from 28 and you get 4 then bring down the 8 an it 48 now see how many times 8 will go into 48 which is 6 times and you get 48 then you subtract 48 by 48 and you get 0 so the answer is 36HOPE THIS HELPED

Problems
1) Paul runs 4 miles in 28 minutes. If he runs each mile at the same pace,
what is his rate in minutes per mile?
1 point
Your answer

Answers

Answer:

7

Step-by-step explanation:

You must divide 28 by 4 which equals 7.

Joseph read 9 books in 15 months. What was his rate of reading in books per month?

Answers

Answer: 0.6 books

Step-by-step explanation: Divide 9 by 15 to get 0.6 books a month.

( I think) I’ve done this before , this certain question.

Which statement is false
A. Every integer is also a rational number
B. No rational number is irrational
C. Every rational number is also an integer
D. Every irrational number is also real

Answers

Answer:

C

Step-by-step explanation:

The answer is C because a rational number is a number that doesn't go forever, and an integer is a positive or negative whole number. For example, 3.5 is rational but not an integer. So, the correct answer is C, and I hope it helps!

The answer is C. have a nice day ^

Find the measure of each indicated angle. (2x-1) and (3x-19)

Answers

The correct answer is:

X=32

Using what you noticed, find the measures of the four angles at point B in this second diagram. Lines AC and DF are parallel.

Answers

Answer:

The measures of the four angles at B are

m∠EBC = 34°

m∠ABH = 34°

m∠EBA = 146°

m∠CBH = 146°

Step-by-step explanation:

∵ AC // DF

∵ HG is the transversal

∴ m∠GEF = m∠EBC ⇒ corresponding angles

∵ m∠GEF = 34°

∴ m∠EBC = 34°

∵ GH intersects AC at B

∴ m∠EBC = m∠ABH ⇒ vertically opposite angles

∵ m∠EBC = 34°

m∠ABH = 34°

∵ B ∈ AC

∠EBC and ∠EBA formed a pair of linear angles

∵ The sum of the measures of the pair of linear angles is 180°

m∠EBC + m∠EBA = 180°

→ Substitute m∠EBC by 34°

∴ 34 + m∠EBA = 180

→ Subtract 34 from both sides

∵ 34 - 34 + m∠EBA = 180 - 34

m∠EBA = 146°

∠EBA and ∠CBH are vertically opposite angles

∴ m∠EBA = m∠CBH

∵ m∠EBA = 146°

m∠CBH = 146°

MY TEACHER TEXTED ME THIS IDK WHAT TO EVEN DO:( help i luv u

Answers

Answer:

yea

same

Step-by-step explanation:

Answer:

well i hope you can figure it out

Step-by-step explanation:

What is the total number of digits required in numbering the pages of the book, which has 76 pages?

Answers

Answer:

152

Step-by-step explanation:

Please mark as brainliest.

What is the value f(4) if f(x)=-4(x+3)-14

Answers

Answer:

f(4)=-42

Step-by-step explanation:

f(x)=-4(x+3)-14

(sub 4 for x in the equation f(x) to find f(4))

f(4)=-4×(4+3)-14

(simplify inside the bracket)

=-4×7-14

(multiply 7 and -4)

=-28-14

(simplify)

=-42

PLEASE HELP ME!!
It’s due in a couple of hours and I’m having hard time understanding how to do these problems. It’s 40 points, 10 for each problem.

Answers

Answer:

11. f(g(3))=5 g(f(-2))=-6

12.f(g(3))=8 g(f(-2))=3

13.f(g(3))=8 g(f(-2))=3

14.f(g(3))=0  g(f(-2))=5

Step-by-step explanation:

[n +1] – 10 >-9

Solve.

Answers

n > 0
rewrite the expression
calculate the difference
cancel equal terms (both sides)

How much dose 15 go in 48

Answers

Answer:

three times

Step-by-step explanation:

15 30 45 cant go no more

A game you want is on sale for 15% off.if the regular price is $50.00,how much will you save?and what will the total sale price be?

Answers

Answer:

you will save 7.50$ and the total sale will be 42.50

Step-by-step explanation:

11) 576 + m = 1000 for m = 524
True or false

Answers

False, 1000-576=424
M=424

Answer:

False

Step-by-step explanation:

M= 424

prob ion know but yeah

Morton sees these stickers at a craft store. What is the ratio of clouds to suns ☁️☀️☁️☁️☀️

Answers

Answer:

3:2

Step-by-step explanation:

3 clouds, 2 suns

Answer: 3:2

Step-by-step explanation:

there are three clouds to two suns


Can someone please help, ty!!
(Will mark brainliest)

Answers

Answer:

I believe it is four hours

Step-by-step explanation:

A housing policy research group reported that the proportion of homeowners in the U.S. who struggle to make monthly mortgage payments is 0.29, or 29%. A real estate company is interested in examining this claim in a particular state that has experienced recent economic hardships Refer to the information above regarding the survey of homeowners with mortgages. The survey found that in a sample of 451 randomly selected homeowners, 183 reported having difficulty paying their mortgages each month. If a hypothesis test were to be conducted to determine if the problem is worse in this particular state, which of the following would be the correct value of the test statistic? Choose the closest value, taking all calculations to four decimal places.
a) 5.42
b) 0.45
c) 0.36
d) 18.99
e) 0.26

Answers

Answer:

The option is  A

Step-by-step explanation:

From the question we are told that

    The population proportion is  [tex]p =  0.29[/tex]

    The sample size is  n  = 451

    The number that was having difficulty is  k  =  183

   

Generally the sample proportion is mathematically represented as

     [tex]\^ {p}  =  \frac{k}{n}[/tex]

=>  [tex]\^ {p}  =  \frac{183}{451}[/tex]

=>   [tex]\^ {p}  =   0.4058[/tex]

Generally the test statistics is mathematically represented as

    [tex]t = \frac{ \^ {p} -  p }{ \sqrt{\frac{p (1-p)}{n} } }[/tex]

=>  [tex]t = \frac{0.4058 -  0.29 }{ \sqrt{\frac{0.29 (1-0.29)}{451} } }[/tex]

=>  [tex]t =  5.42 [/tex]

Express missing divisor using power of 10.

6.3 / ____= 0.0063

Answers

you first have to see how many times places the tenths are from the ten thousandths which is 3
so your going to have 3 zeros
so your answer would be 1000
hope that helps

a number increased by 15 is 114

Answers

Answer:

129

Step-by-step explanation:

all u have to do is add those two numbers

Answer:

114 - 15 = 99

Step-by-step explanation:

A "number" can be used as x since we don't know what it is at first- since it'd be x + 15 = 114 you can just do 114 - 15 to get the answer to x which is 99:)

Charles made the following observation:

"When I divide two fractions, the divisor is larger than the quotient."

Which of the following equations would prove Charles's statement false? Select all that apply.

Answers

Answer:

Where is it?

Step-by-step explanation:

Answer:

Whats the Answer?????????

Step-by-step explanation:

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