PLEASE HELP!!! ALGEBRA! For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10, adults were $20, and seniors 60 and older were $15. There were 3 times more children than seniors at the concert. What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the concert?

Answers

Answer 1

Answer:

( c + a + s) = 5000

(10c + 20a + 15s) = 72000

c = 3s

Step-by-step explanation:

Number of tickets sold = 5000

Proceeds from ticket Sale = $72,000

Tickets for children 16 and younger = $10

Adults = $20

seniors 60 and older = $15

Let :

number of children, c ;

adults, a;

seniors, s,

There were 3 times more children than seniors at the concert ; c = 3s

Total number of attendees = 5000 ;

( c + a + s) = 5000

Total proceeds or revenue

(10c + 20a + 15s) = 72000


Related Questions

at the city Museum, child admission is $5.10 an adult mission is $8.70. On Friday, 136 tickets were sold for total sales of $970.80. How many adult tickets were sold that day

Answers

Answer:

x = 76 children's tickets sold

Step-by-step explanation:

Let x = the number of children's tickets sold

Let y = the number of adult tickets sold

x + y = 131

5.5x + 9.8y = 957    Solve the first equation for y

y = 131 - x        Multiply the second equation by 10

55x +98y = 9570     Substitute the above equation into this one.

55x + 98(131-x) = 9570   Use the distributive property

55x + 12838 - 98x = 9570   Solve the equation

-43x = -3268

x= 76 children's tickets sold

Terry selected two cards. The sum of her card is -10. Can one of the cards be positive and the other be negative.

Answers

No because if you subtract -10-2 you get -12 and you only have a negative answer

Can you check my answers see if it’s correct please!!!

Answers

Answer:

You are right

Step-by-step explanation:

Simply the radical square root 175

Answers

So √175=√25×7=√25×√7=5√7 . We cannot further simplfy √7 so we'll simplify the other square root.

Answer:

[tex]5\sqrt{ 7[/tex]

Step-by-step explanation:

[tex]\sqrt{75} \\\\perfect squares: 1,25\\\\175/25 = 7\\\\\sqrt{25} = 5 \\\\[/tex]

Is my calculation for finding the measure of the angle is right?

Answers

Answer:

Yes

Step-by-step explanation:

Yes it is, as proof, if we subtract 9 from 109 and 89, we get 100 and 80, and if we add them up, we get 180, which is the angular value of a straight line

what ln(2)? i just dont get this can you also show works

Answers

Answer:

2

Step-by-step explanation:

Because its more than likely asking whats in side the parenthisis

Answer:

ln(2) = 0.6931

Step-by-step explanation:

"ln" stands for natural logarithm.

You can memorize the "ln" of some of the basic prime numbers.

ln(2) = 0.6931

ln(3) = 1.0986

ln(5) = 1.6094

Beest of Luck!

If an urn has 5 white balls 10 red balls and 6 green balls what is the probability that 4 randomly selected balls are all green?

Answers

Answer:

5+10+6=21

4/21 = ___

Step-by-step explanation:

The probability that 4 randomly selected balls are all green will be;

"4/21 ".

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

Given:

Number of white balls = 5

Number of red balls = 10

Number of green balls = 6

The Total number of balls = 21

Therefore, The probability that 4 randomly selected balls are all green will be;

= 4/21

Learn more about probability here;

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What is the greatest whole number that rounds to 2, 100when rounded to the nearest​ hundred? The least whole​ number?

Answers

Answer:

i am pretty sure it would be 8

Step-by-step explanation:

when it rounds to 2 but also rounds to 100, 8 would be the best bet.

Two angles of a triangle measure 12 and 40. What is the third angle?

Answers

The sum of angles in the triangles is 180 degrees 12+40+X=180

52+X=180

X=180-52 = 128 degrees

X is the third angle of the triangle

Answer:

The third angle is 128°.

Step-by-step explanation:

We need to remember that the sum of the 3 angles of a triangle is 180°, hence if we have 2 angles, the third angle is:

[tex] 180 = \alpha + \beta + \theta [/tex]

[tex] 180 = 12 + 40 + \theta [/tex]

[tex] \theta = 180 - 52 [/tex]

[tex] \theta = 128 [/tex]

Therefore, the third angle is 128°.

I hope it helps you!

Can an opposite and an absolute value of an integer be the same?

Answers

Answer:

yes they can be the same

Step-by-step explanation:

yes

-6(x+4) what this answer simplified.

Answers

Answer:

-6x-24

Step-by-step explanation:

all you have to do is multiply, so -6*x and -6*4 and since -24 is a negative the equation is going to be subtracting

Answer:

Step-by-step explanation:

Suppose a student usually gets 5.28 hours of sleep. A teacher wants the student to get 8 hours of sleep. What is the percent increase in the number of hours that the student will sleep? Round your answer to the nearest whole percent.

Answers

Answer:

52%

Step-by-step explanation:

Number of hours of sleep a student gets = 5.28hrs

A teacher wants the student to get = 8hrs of sleep

Unknown:

Percentage increase in the number of hours the student will sleep = ?

Solution:

  Percentage increase = [tex]\frac{New sleep hours - former sleep hours}{former sleep hours}[/tex] x 100

 Percentage increase  = [tex]\frac{8 - 5.28}{5.28}[/tex] x 100 = 51.5%

  Percentage increase  = 52%

Solve the inequality. 12x<-144

Answers

Answer:

Step-by-step explanation:

x=-12

Answer:

x= -12

Step-by-step explanation:

20% of 45
Help. Plzzzzzzzzzz

Answers

20% of 45 is 9......
The answer is 9 lol

how many hours are there in 1 month if there are 31 days in a month. Will mark brainliest.

Answers

Answer:

744

Step-by-step explanation:

in one day there is 24 hours if you multiply 24*31 it will be 744hours in total .24*31=744so you multiply the amount of time with the amount of days :)hope you get it !please mark me brilliant if im rightthank you :3

Find the value of each missing variable. y=

Answers

Step-by-step explanation:

29x - 3 + 15x + 7 = 180° because these two angles are supplementary

if we add like terms

44x + 4 = 180

44x = 176 divide both sides by 44

x = 4

29x - 3 = 13y - 17 because alternate exterior angles has same measurement

since we found the value of x let's rewrite the equation

4 × 29 - 3 = 13y - 17

113 = 13y - 17

130 = 13y divide both sides by 13

10 = y

Graph the line y-3=-1/3(x+2)

Answers

Slope: 1/2

y-intercept(s): (0, 7/3)

x: 0, 7

y: 7/3, 0

Step-by-step explanation:

y=-3 -1/3(1+2)=2/3.3=1.3=3

y=3

A humanities professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 63% C: Scores below the top 37% and above the bottom 16% D: Scores below the top 84% and above the bottom 8% F: Bottom 8% of scores Scores on the test are normally distributed with a mean of 80.1 and a standard deviation of 7.2. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.

Answers

Answer: 88.56

Step-by-step explanation:

Given that:

Mean score (m) = 80.1

Standard deviation (s) = 7.2

Minimum score required to score A grade =?

A= Top 12% of scores

Zscore corresponding to top 12% = bottom 88%

Zscore = 1.175

Zscore = (x - mean) / s

1.175 = (x - 80.1) / 7.2

1.175 * 7.2 = x - 80.1

8.46 = x - 80.1

8.46 + 80.1 = x

x = 88.56

A college food court surveyed 325 students to see how many drink tea and how many drink coffee.
The Venn diagram below shows the results. (Each number gives the number of students who fall into that Venn diagram category.)
-All students in the survey
(a) How many of the students drink coffee?
Drink
tea
Drink
coffee
0
students
94
77
56
(b) How many of the students drink tea or coffee (or both)?
. students
98
(c) How many of the students do not drink both tea and coffee?
students

Answers

Answer:

Add the 3 then subtract that from 325

you should know part B

Step-by-step explanation:

Equation: a math sentence that states two quantities are
It will have an

Answers

a math sentence that states two qualities are equal

7. Which statements about the values of 2.044
and 20.44 are true?

Answers

Answer:

20.44>2.044

Step-by-step explanation:

There were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at mcneely’s farm

4/9
5/9
4/5
5/4

Answers

Answer:

4/5

Step-by-step explanation:

Questo
The following group of values was entered into the TVM Solver of a graphing
calculator. N = 132; 1% = 7.8; PV = ; PMT = - 740; FV = 0; P/Y = 12; C/Y = 12;
PMT:END. Which of these expressions will return the same value for PV?

Answers

Answer: (740)((1+0.0065)^132-1)/(0.0065)(1+0.0065)^132

Step-by-step explanation:

The value of the present value of the given is 65440.1194.

We have given that,

The following group of values was entered into the TVM Solver of  graphing.

calculator. N = 132; 1% = 7.8; PV = ; PMT = - 740; FV = 0; P/Y = 12; C/Y = 12;

What is the formula for present value?

[tex]PV=FV/(1+i)^n[/tex]

[tex]=\frac{740\left(\left(1+0.0065\right)^{132}-1\right)}{0.0065\left(1+0.0065\right)^{132}}[/tex]

[tex]=\frac{740\left(\left(1+0.0065\right)^{132}-1\right)}{0.0065\left(1+0.0065\right)^{132}}[/tex]

[tex]=\frac{1000.40602\dots }{0.0065\cdot \:1.0065^{132}}[/tex]

[tex]=65440.11940[/tex]

Therefore, The value of the present value of the given is 65440.1194.

To learn more about the present value visit:

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Rewrite as a simplified fraction.1. 6 =?

Answers

Answer:

1 3/5

Step-by-step explanation:

What is the value of the 1 in the number 1,546,702?

Answers

Answer:

Millions

Step-by-step explanation:

Answer:

one million

Step-by-step explanation:

Suppose a Hispanic Heritage festival is held in an area measuring 2,494 square yards. If the length of the festival is 58 yards, what is the width of the festival?

Answers

Answer: 43 yards.

Step-by-step explanation:

Let the shape of the area occupied for festival be rectangle.

and area of rectangle = length x width

Given: Area of the festival= 2,494 square yards.

Length of the festival=  58 yards

Then width = (Area )÷ (length)

=  (2494)÷58  yards

= 43 yards

hence, the  width of the festival = 43 yards.

The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. Round your answer to four decimal places. .9588 c. With

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Population Mean wage (m) = $24.57

a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

The Null hypothesis : μ = 24.57

1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

Alternative hypothesis : μ ≠ 24.57

1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.

Sample size (n) = 30

Sample mean (Sm) = 23.89

Population standard deviation (σ) = 2.40

Obtaining Z:

Z = (Sm - m) / σ/√n

Z = (23.89 - 24.57) / 2.40/√30

Z = - 0.68 / 0.4381780

Z = - 1.5518805

Using the online p value calculator from Zscore

P value = 0.121142

= 0.1211

Sabendo-se que 9 174 532 x 13 = 119 268 916, pode-se concluir que é divisível por 13 o número:

a) 119 268 903

b) 119 268 907

c) 119 268 911

d) 119 268 913

e) 119 268 923

Answers

Answer:

A

Step-by-step explanation:

Sabendo que 119 268 916 é divisível por 13, o número 119 268 903 também é divisível por 13.

Isso ocorre porque a diferença entre um múltiplo de um número e o próximo múltiplo de um número é esse próprio número.

Portanto, para encontrar outros múltiplos que são divisíveis por 13 dado o resultado na pergunta, podemos adicionar múltiplos menores de 13 ou subtrair múltiplos menores de 13 do número.

O que estamos dizendo é que o número - 13 ou mesmo -26 ou +39 daria outro múltiplo de 13. O que estamos dizendo é que chegaremos a um número que é divisível por 13 do outro número dado que o número que estamos adicionando ou subtrair do número é um múltiplo de 13.

Agora vamos verificar as opções, podemos ver que a diferença entre o número e a opção é 13 que, claro, é um múltiplo de 13.

Esta é a razão pela qual o número é a nossa resposta.

Find area of the figure :)

Answers

768 square meters.

We can break it down into two shapes, a rectangle and a triangle.

Rectangle:

[tex]a = b \times h[/tex]

[tex]a = (48) \times (11)[/tex]

[tex]a = 528m^{2} [/tex]

Triangle:

[tex]a = \frac{b \times h}{2} [/tex]

[tex]a = \frac{(48) \times (10)}{2} [/tex]

[tex]a = \frac{480}{2} [/tex]

[tex]a = 240m^{2} [/tex]

Add them together:

[tex]528m^{2} + 240m^{2} = 768m^{2} [/tex]

Anyone know how to do this? I’m stuck

Answers

I’ll make it easier, so for number 2 on number 6 7/8 times 8 and 6 and you have 48, then add the top number which would be 55. Then for the second number, 4 1/3 do the same thing! 4*3= 12+1= 13 then add 13+55 and your answer is 68! Then put it in fraction form! 17/25, then all you do is simplify it! If it can’t be simplified (17/25 can not be simplified), it stays the same. Hope that helps! :)
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