The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while non students paid $6.00 each. If a total of $2032.00 was collected, how many students and how

many non students attended

The number of students was (Simplify your answer)

The number of non-students was (Simplify your answer)

Answers

Answer 1

Answer:

286 students attended

148 non students attended

Step-by-step explanation:

Given

[tex]Tickets = 434[/tex]

[tex]Students = \$4.00[/tex]

[tex]Non-Students = \$6.00[/tex]

[tex]Total = \$2032.00[/tex]

Solving (a): Number of students

Represent students with S and non students with N

So:

[tex]S + N = 434[/tex] --- (1)

[tex]4S + 6N = 2032[/tex] --- (2)

Make N the subject of formula in (1)

[tex]N = 434 - S[/tex]

Substitute 434 - S for N in (2)

[tex]4S +6(434 - S) = 2032[/tex]

Open Bracket

[tex]4S + 2604 - 6S = 2032[/tex]

Collect Like Terms

[tex]4S - 6S = 2032 - 2604[/tex]

[tex]-2S = -572[/tex]

Divide through by -2

[tex]S = 286[/tex]

Hence; 286 students attended

Solving (b):

Recall that

[tex]N = 434 - S[/tex]

[tex]N = 434 - 286[/tex]

[tex]N = 148[/tex]

148 non students attended


Related Questions

Sarah is 9 years old. Sarah's grandfather is 90 year old. Sarah's grandfather is how many times as old as Sarah?

Answers

Answer:

10 times older

Step-by-step explanation:

name brainliest

Answer:

10 times

Step-by-step explanation:

Basically it is asking you this:

90/9 which is 90 divided by 9.

How many tablets of 6 mg can be made from 0.6 kg of medicine?

Answers

Answer:

100 000  tablets

Step-by-step explanation:

1 mg = 0.001 g ⇒ 6 mg = 0.006 g

1 kg = 1000 g ⇒ 0.6 kg = 600 g

600 g / 0.006 g = 100 000  tablets

Evaluate the numerical expression. 30 - [(9 X 2) - (3 X 4)]

Answers

Answer:

Step-by-step explanation:

30 - [(9 X 2) - (3 X 4)]

30 - [ 18 - 12 ]

30 - 18 + 12

= 42 - 18

= 24

Hope this helps

plz mark as brainliest!!!!!!

Answer:

24

Step-by-step explanation:

30-[18-12]

30-18+12

12+12

=24

Please help me!!!!!!!!

Answers

Answer:

10) 1/11

11) 18/8 or 2 2/8 or 2 1/4

12) -8/5 or -1 3/5

Step-by-step explanation:

10) -6/11-(-5/11)=-6/11+(5/11)=1/11

11) 1 3/8-(-7/8)=11/8+7/8=18/8 or 2 2/8 or 2 1/4

12) -4/5-4/5=-8/5 or -1 3/5

There are approximately 0.4536 kilograms in a pound. To the nearest whole pound, how many pounds does a steer that weighs 200 kg weigh?

Answers

Answer:

441

Step-by-step explanation:

200kg= 1 pound/0.4536kg

Cross the kg and you can convert that to 441 pounds

1. Find the ratio of oranges to apples if there are 2 pineapples, 4 apples,
6 bananas, and 3 oranges in a fruit bowl.
a. 1 to 2
b. 2 to 4
c. 3 to 4
d. 3 to 2

Answers

Answer: the answer is C because there are 3 oranges and 4 apples

the answer is C. 3 to 4

PLEASE ANSWER QUICK, ITS URGENT!

Answers

Step-by-step explanation:

which part of the question do you need

Pls help me I can’t figure it out T^T incase the picture doesn’t work it says 14. write a real-world problem thats can be represented by the equation 3/4c=21?

Answers

Answer:

________________

How many 3/4 cups of milk would be needed to make 21 cups of milk for a large recipe?

________________

ж

The sum of 18 and a number

Answers

Answer:

The expression you are looking for is: 18+x

Step-by-step explanation:

18+ x the variable

That’s what your looking for

BAKED GOODS Mary sells giant chocolate chip and peanut butter cookies for
$1.25 and $1.00, respectively, at a local bake shop. She wants to make at least
$25 a day
a. Write and graph an inequality that represents the number of cookies Mary
needs to sell each day.

Answers

Answer:

(1.25c) + (1p) ≥ 25

c is the amount of chocolate chip cookies

p is the amount of peanut butter cookies

Inequalities help us to compare two unequal expressions. The inequality that represents the number of cookies Mary needs to sell each day is 1.25x + 1y ≥ 25.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Let the number of chocolate chips sold be represented by x, while the number of peanut butter cookies is represented by y.

Given that the selling cost of chocolate chips and peanut butter cookies is $1.25 and $1.00, respectively. Also, Mary needs to make $25 a day, therefore, the inequality can be written in the form as,

1.25x + 1y ≥ 25

Hence, the inequality that represents the number of cookies Mary needs to sell each day is 1.25x + 1y ≥ 25.

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Which expression can be used to check the answer to 56÷(-14)=-4? A) -14×-4 B) -4÷(-14) C) 56×(-14) D) -4÷56

Answers

Answer:

a) -14x-4

try it out, it equals 56, proving the equation is true

z=a/m, for a
Help pls
Literal equations indicate variable

Answers

Answer:

a = zm

Step-by-step explanation:

z = a/m

Multiply both sides by m:

zm = am/mzm = aa = zm


In the class election, the student who gets the highest number of votes will become the class president and the one who gets the second highest
number of votes will become the class vice president. Tabitha and four other students were candidates. Tabitha's teacher announces the election
results as percentages of the total number of votes. Two hundred votes were cast in the election. In this activity, you will relate the percentages of
the votes received to the actual numbers.
Question 1
The table gives the percentage of votes each candidate received. Use the information in the table to understand the results of the election
Candidate Percentage of Votes
Tabitha
30%
Vincent
12%
Esmeralda
22%
Nancy
5%
Tyler
31%
Part A
How many votes did Tabitha receive?

Answers

Answer:

Tabitha received 60 votes.

Step-by-step explanation:

200 votes × .30 = 60 votes

The given percentage of votes shows that Tyler win the class elections (has the highest percentage of votes - 31%), and Tabitha received 60 votes (30% of 200).

What are percentages?

A percentage is a fraction of a whole number represented as a number out of 100.

How do we solve the given question?

We are given the percentages of votes received by the candidates in a class election. We are also informed that a total of 200 votes were cast in the elections.

The percentages are as follows:

Tabitha = 30%

Vincent = 12%

Esmeralda = 22%

Nancy = 5%

Tyler = 31%.

We are asked to find the winner of the election and the number of votes Tabitha received.

As Tyler receives the highest percentage of votes (31%), he is the winner of the elections.

Tabitha received 30% of the votes, and the total number of votes = 200

∴ Number of votes Tabitha received = 30% of 200 = (30/100)*200 = 0.3*200 = 6.

∴ Tabitha received a total of 60 votes.

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On average, which country user's spend the most time on social media? Which country's users spend the least time?

Answers

Answer:

Israel  top,  canada bottom

Step-by-step explanation:

Don't worry, I have this question too :)

Answer:

On average, Israel's country's users spend the most time on social media. United States' country's users spend the least time.

Step-by-step explanation:

Using the given inputs, we will rewrite these as decimals.

The only fractions that are listed are:

United States - 7 3/5

Canada - 7 7/10

Russia - 10 2/5

Colombia - 8 1/2

To convert a fraction to a decimal, we have to divide the numerator to the denominator. Add this decimal number to the whole number part of the mixed number.

So now, we get:

United States - 7.60

Canada - 7.70

Russia - 10.40

Colombia - 8.50

To determine which ones are greater than the others, you add a 0 to the end of the decimal.

The number with the least value here is 7.6, and the number with the largest value is 10.4. So, Israel's country's users spend the most time on social media. United State's country's users spend the least time on social media.

John has $90 in the bank. Every time herides the bus he spends
$2.50. Write an equation that John can use to see how many times
he can ride the bus. Let x = the number of times he can ride the bus.

Answers

His total spending money is $90, so that is what the equations going to equal. Then he can spend $2.50 each time. So 2.50x = 90

Answer:90 divided by 2.50= X

36 = X

Step-by-step explanation:

PLS HELP ASAP!!!!!!! I WILL MARK BRAINLIEST

Answers

The answer is A, B, and D

What numbers are rational numbers

Answers

Answer:

Every integer is a rational number. Numbers like 1/2, 454/242, and -6/9 are also rational because they are fractions whose numerator and denominator are integers. All in all, a rational number is any number that can be written as a simple fraction.

Hope this helps!

simplify the expression 8(2x+y+z) 10 POINS PLEASE HELP

Answers

Answer:

16x+8y+8z

Step-by-step explanation:

Apply the distributive property.

8(2x+y+z)

Multiply 2 by 8.

16x+8y+8z

I did this once! Please Mark Me Brainliest!

Answer:

16x+8y+8z

Step-by-step explanation:

If f(x) = 5 + 4x^2, then f(3) =

Answers

Answer:

f(3) = 41

Step-by-step explanation:

f(x) = 5 + 4x²

To find f(3) substitute the value of x that's 3 into f (x) which means for every x in f (x) replace it with 3

That's

f(3) = 5 + 4(3)²

= 5 + 4( 9)

= 5 + 36

We have the final answer as

f(3) = 41

Hope this helps you

Step-by-step explanation:

F(3) = 5 + 4(3)^2

f (3) = 5 = 36

f(3) = 41

Hope i helped u

What is the area of a rhombus whose diagonals have lengths D1=12 inches and D2=14 inches? Show your work.

Answers

Answer:

Answer:

84inches^2

Step-by-step explanation:

Step-by-step explanation:

Area of a rhombus = pq/2

From the question

p= 12 inches

q = 14 inches

Therefore Area = 12x14 /2

= 168/2

= 84 inches^2

The LSU tigers won the 2019 Football National Championship. Joe Burrow threw for 60 touchdowns in the 15-game season. What is the rate of touchdowns Burrow threw per game?

Answers

Answer:

what grade is this question?

Answer:

4 touchdowns a game

Step-by-step explanation:

you divide 60 touchdowns by 15 games

Paul owns 8 CDs, 6 of which are rock-and-roll. What percent of Paul's CDs are rock-and-roll?

Answers

Answer:

75% are rock and roll

Step-by-step explanation:

6 /8 = 3/4 = 0.75 = 75%

The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 13. According to the standard deviation rule, only (what?) % of people have an IQ over 126.

Answers

Answer: 2.5% of people have an IQ over 126.

Step-by-step explanation:

Given: The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 13.

126 = 100 + 2(13) = Mean +2 ( standard deviation)

To find : % of people have an IQ over 126.

i.e. % of people have an IQ over Mean +2 ( standard deviation).

According to the standard deviation rule,

95% of data fall within two standard deviations.

Now, 100% - 95% = 5%

and Half of 5% is 2.5%.

So 2.5% of the data lies below 2 standard deviations of mean and 2.5% of the data lies above 2 standard deviations of mean .

i.e.  2.5% of people have an IQ over 126.

what number increase by 25 become s 150​

Answers

Answer:

125

Step-by-step explanation:

n= 25 less than 150

150-25= 125

n= 125.

If Daniel ate 36 Snicker bars, what does he have now? Diabetes???

Answers

His stomach is gonna hurt really bad

A light phone company advertises that its light bulb will last 100 hours. if 92% of the bulbs the company produces actually last that long. approximately how many light bulbs should be produced to have 15000 light bulbs meet the advertising claim?

Answers

Answer:

16,304

Step-by-step explanation:

We need to have a number that has 15,000 be 92% of it.  To do this, divide 15,000 by 92% to find the total needed.

92% = 0.92

15,000/0.92 = 16,304.3 = 16,304

You will need 16,304 light bulbs.

A company should produce 16,304 bulbs to have 15,000 light bulbs meet the advertising claim.

The percentage formula:

"For a number x, m% of number x is [tex]=x\times \frac{m}{100}[/tex] "

For given question,

Let 'n' represents the number of bulbs that should be produced to have 15000 light bulbs meet the advertising claim.

This means 92% of 'n' light bulbs should be 15000 light bulbs.

⇒ 15000 = n × (92/100)

⇒ 15000 = n × 0.92

⇒ n = (15000) / (0.92)

⇒ n = 16304.3

⇒ n ≈ 16304

Therefore, there should be 16304 light bulbs.

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I need help please no one helps me

Answers

Answer:

Frank worked 80 hours

Step-by-step explanation:

40x4=160  

160 divied by 2 is 80

What is the distance between (2,8) and (7,7)

Answers

Answer:

5.1 units

Step-by-step explanation:

Hey there!

To find the distance of points,

(2,8) and (7,7).

We need to use the Pythagorean Theurom formula which is,

[tex]a^2 + b^2 = c^2[/tex]

So we need to find the rise/run or a and b to find c or the distance.

x - 2 and 7, distance of 5 units

y - 8 and 7, distance of 1 unit.

Plug those numbers in.

[tex]5^2 + 1^2 = c^2[/tex]

25 + 1 = c^2

26 = c^2

c = 5.09901

c = 5.1 rounded to the nearest tenth.

Hope this helps :)

Here is how i did it

i need help please i would appreciate it​

Answers

Answer: 5/3

i hope that’s correct :)

Answer:

5/1 × 1/3 = 5/3

Step-by-step explanation:

correct me if im mistaken,but im sure my answer is correct

In the field of demography, is the term for the average number of people
per given area (e.g., per square kilometer).
A. demographic density
B. crowdedness
C. neighbor-to-neighbor distance
D. population density​

Answers

Answer:

population density. is the ans

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