Ticket prices for Students ($3), Adults ($7), Children under 12 ($2) A School band performs a concert for a crowd of 600 people. The revenue for the concert is $3150. There are 150 more adults at the concert than students. How many of each type of ticket are sold?

Answers

Answer 1

Answer:

280 adult tickets

130 student tickets

190 children tickets

were sold at the concert

Step-by-step explanation:

Let the number of students be s , adults a and children c

Total 600;

Thus;

a + s + c = 600 •••••••(i)

let us look at revenue

Revenue = number * ticket price

For adults; a * 7 = $7a

For students ; s * $3 = $3s

For children; c * $2 = $2c

Total is 3150

thus;

7a + 3s + 2c = 3150 ••••••••(ii)

150 more adults than students;

a = s + 150 ••••••(iii)

Substitute iii into ii and i

into ii

7(s + 150) + 3s + 2c = 3150

7s + 1050 + 3s + 2c = 3150

9c + 3s = 3150-1050

9c + 3s = 2,100 •••••••(x)

Substitute into i

a + s + c = 600

s + 150 + s + c = 600

2s + c = 600 - 150

2s + c = 450

c = 450 - 2s ••••••(xx)

Now substitute xx into x

9(450-2s) + 3s = 2100

= 4050-18s + 3s = 2100

4050-2100 = 18s - 3s

15s = 1950

s = 1950/15

s = 130

c = 450 -2s

c = 450 - 2(130)

c = 450 - 260

c = 190

a = 150 + s

a = 150 + 130

a = 280


Related Questions

Suppose y varies directly with x, and y = 6 when x = 18. What is the value of y when x = 9?
A:9
B:27
C:1
D:3

Answers

Answer: D
It seems like y multiplied by 3 equals x.
So 9 divided by three is 3

HELP ILL MARK WHAT U WANT


Describe the transformation of the parent function f (x) = | x |
as it relates to the function g(x)=-2 | x+6 | -3

Answers

Answer:

A reflection over the x-axis, a vertical stretch by 2, a horizontal shift left 6, and a vertical shift down 3

Step-by-step explanation:

y=a|x-h|+k is the form for these types of equations.

a values describe the vertical stretch (skinnier) or shrink (wider)

h values represent the horizontal (left/right) change. The h value in the equation is negative, so make sure to take that into consideration.

k values represent the vertical (up/down) change

Simplify: -8w^8 - 4w^8
Enter the original expression if it cannot be
simplified.

Answers

Answer:

-12w^8

Step-by-step explanation:

Hope it helps!

What is the value of x? *

HELPPP ME PLEASEE
IM HIVE BRAINIEST TO FIRST PERSON WHO ANSWER, and I HAVE TO SHOW MY WORK

Answers

Answer:

(7x-15) = 180

7x = 195 (add 15 to both sides)

195 / 7 = 27.85

(x + 28) + (4x -3) + 27.85 = 180

5x + 53.85 = 180 (add like terms)

5x = 126.15 (subtract 53.85 from both sides)

x = 25.23 (dived both sides by 5)

Step-by-step explanation:

I could be wrong though

hope this helps

There hope it helps

Which interval contains a local minimum for the
graphed function?

Answers

You just have to write x>0 for example, which sets the local minimum to 0

WILL MARK BRAINLIEST!!!! For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear green and white. What percent of the school population did NOT wear their school colors? (make sure it is the right answer pleasseeee it is for a test!)

A.
15%

B.
20%

C.
25%

D.
33%

Answers

Answer:

D. I think

Step-by-step explanation:

Answer:

B. 20%

Step-by-step explanation:

1,200+300=1,500 students in total

20% of 1500 is 300

jon is baking cookies . the recipe calls for 1 1/2 cups of flour , and Jon wants to triple the recipe . Write and solve two equations that show how to figure out how much flour he needs .

Answers

1 1/2 x 3 = 4 1/2

1 1/2 + 1 1/2 + 1 1/2 = 4 1/2

40 POINT! HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

Answer:

Their is no answer if you don't ask  question.

Step-by-step explanation:

1 + 2u < 7
help me please thxa

Answers

Answer:

u < 3

Step-by-step explanation:

Original Equation:

1 + 2u < 7

Subtract 1 from both sides.

2u < 6

Divide both sides by 2.

u < 3

Hope I helped :)

Please consider Brainliest :)

donna recipe calls for 2 1/3 cups of sugar for each cake. Donna wants to make 5 cakes. How many cups of sugar will she need

Answers

11 2/3 cups of sugar

The number of cups of sugar will be 11²/₃.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Donna's recipe calls for 2¹/₃ cups of sugar for each cake. Donna wants to make 5 cakes.

The number of cups of sugar will be,

Number = 2¹/₃ x 5

Number = (7/3) x 5

Number = 35 / 3

Number = 11²/₃.

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What is the solution to -4-2x + 6 = -24?
x = 0 or x = -6
O x = 0 or x = 6
O no solution

Answers

Answer:

x=13

Step-by-step explanation:

The right answer could be 13 if ur trying to solve for x in the equation but no ur trying to figure out which of the x answers is equal to -24 so..,(

Wen x is -6 = -4-2(-6) +6 =-24, -4+12+6=14
No cause 14 is not -24


Wen x is 6= -4-2(6) +6=-24, -4-12+6=-10
Nope

Wen x is 0= -4-2(0) +6 =-24, -4+6= 2
Noo

Answer elimination leaves no solution so the answer should be

no solution

Joan performed an experiment on two different types of cells and noted their sizes as follows:

Cells Size
Cell A 0.0005×10−5 m
Cell B 0.0025×10−7 m
What is the ratio of the size of cell A to the size of cell B?

Answers

Answer:  Press this link to get your answer -)

Step-by-step explanation:

The ratio is simply the fractional representation of two values in their simplest form. The ratio of Cell A to Cell B is 20 which means that the size of Cell A is 20 times the size of Cell B.

Given that :

Cell size A = [tex]Cell A = 0.0005\times 10^{-5}\\\\Cell B = 0.0025\times10^{-7} \\\\Ratio = \frac{Cell A }{Cell B} \\\\Ratio = \frac{0.0005 \times 10^-5}{0.0025 \times 10^-7}[/tex]

[tex]Ratio = 20[/tex]

Therefore, the ratio of the size of Cell A to the size of Cell B is 20 : 1, which can be interpreted to mean that cell A is 20 times larger than cell B.

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HELP ASAP 69 POINTS

The cost of having t-shirts printed at two different shops is displayed below. Use the information provided to answer the following questions:
Which company charges the most for designing the shirts?

Terrific T-Shirts
Appealing Apparel
0
150
Apparel charges a one-time setup fee for designing t-shirts.


The fee is $200.
Each shirt has a cost of $9
5 200
15 300
25 400
30 450
If you were buying 50 shirts which would be the better deal?

Answers

since u keep saying wrong answers your caca answer to your caca question is B.

(btw im wrong i know. Person above me is correct)

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?

5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm

Answers

Answer:

8 cm and 9 cm

Step-by-step explanation:

The other two sides added together have to equal a larger number than 13, since 13 is the largest side.

5 + 8 = 13

6 + 7 = 13

7 + 2 = 9

8 + 9 = 17

Answer:

D

Step-by-step explanation:

EDU 2020

What is...

5(11+6)
and
7(3-19)

Answers

Answer:

#1. 85

#2. -112

Step-by-step explanation:

#1.

multiply 5 by whats inside the parenthesis

55 + 30

85

#2.

multiply 7 by whats inside the parenthesis

21 - 133

-112

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

5(11+6)= 85

7(3-19= -112

Step-by-step explanation:

5(11+6)

55+30=85

7(3-19)

21-133= -112

Why are presidential elections considered to be indirect elections?The above map shows Electoral College votes based on 2000 Census data. What do the numbers on this map represent? In the Electoral College system, what targets must be met by a presidential candidate in order to win the election?

Answers

Answer:

its indirect bc its not by popular vote

Step-by-step explanation:

Please answer ASAP!!!

Answers

Answer:

if im not mistaken the answer is 21?

Step-by-step explanation:

Answer:

The perimeter is 24

Step-by-step explanation:

BD = AD and we know that AD is 3 so we know the little side is exactly 6 long.

Because they are right triangles, both of the long sides are equal.

AC is 9 so BC must also be 9.

We break this into 9 + 9 + 6 which equals 24

Mr. Simpson's family has 6 members, Mr. Simpson, Mrs. Simpson, 3 sons, and one daughter. Mr. Simpson's daughter says that 25% of the family are girls and 75% are boys since she is the only daughter. Is she correct? Why or why not? Explain your answer!!!!!!!!!

Answers

She is not correct.

There is 6 members of the family

There are two girls, mrs. Simpson and the one daughter.

The percent that are girls would be 2 out of 6 = 2/6 = 33%

The boys would be 100% - 33% = 67%

NEED HELP!!
Drag the tiles to the boxes to form correct pairs. Multiply the pairs of numbers and match them to their products. (-7)(-1.2) 5 (-2)—2) -5 (2.5)(-2) 8.4 (7)(-1.2) -8.4 ​

Answers

(-7)(-1.2) =8.4
(-2 1/2)(-2)= 5
(2.5)(-2)= -5
(7)(-1.2) =-8.4

The correct matches are;

1) (-7) (-1.2) =  8.4

2) 5 =  (-2 1/2) (-2)

3) -5 = (2.5) (-2)

4) (7) (-1.2) = - 8.4

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expressions are,

a) (-7) (-1.2)

b) 5

c) (-2 1/2) (-2)

d) -5

e) (2.5) (-2)

f) 8.4

g) (7) (-1.2)

h) -8.4

Now, Solve the expressions in simplest form;

a) (-7) (-1.2) = 8.4

b) 5 = 5

c) (-2 1/2) (-2) = -5/2 x - 2 = 5

d) -5 = -5

e) (2.5) (-2) = -5

f) 8.4 = 8.4

g) (7) (-1.2) = - 8.4

h) -8.4 = -8.4

Thus, The correct matches are;

1) (-7) (-1.2) =  8.4

2) 5 =  (-2 1/2) (-2)

3) -5 = (2.5) (-2)

4) (7) (-1.2) = - 8.4

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whoever answers first gets brainlest

Answers

Answer: Answer what??

Step-by-step explanation:

Help please I will give BRAINLIEST!!!! Which is the function represented by the table?

Answers

Answer:

i dont even know i couldnt even tell u that

Step-by-step explanation:

df

Match each step in the process of solving square root of 6y= saque root of 36+2y. With its justification

Answers

Answer:

y=9 - division property of equality

6y=36+2y - squaring property of equality

4y=36 - subtraction property of equality

Step-by-step explanation:

Answer:

y = 9 > division property of equality

6y = 36 + 2y > squaring property of equality

4y = 36 > subtraction property of equality

Step-by-step explanation:

edg 2021

Round to the nearest tenth or tenth of a percent.


1) What percent of 29 is 3? x/100 = 3/29


2) What percent of 33.5 is 21?


3) What percent of 55 is 34?

4) 41% of 78 is what?

5) 28% of 63 is what?

6) 58% of what is 63.4?

7) 1 is what percent of 52.6?

8) What percent of 38 is 15?




Answers

Says right here you can find the answers by looking them up you will still need to simplify


It costs $14.99 per meter of fence. How much would it cost to put fence around the perimeter of this triangular garden? Round your answer to the nearest hundred

Answers

Answer:

$206.86

Step-by-step explanation:

multiply each length by 14.99 then add, round the decimal

What is an equation for the line in slope-intercept form perpendicular to y = -14x – 2 that contains (–3, 1)

Answers

Answer:

y= 1/14 x +17/14

Step-by-step explanation:

Lines perpendicular to another line have an opposite reciprocal slope, meaning that the sign is changed, and the fraction is flipped. We are going to use point-slope form to solve.

[tex]y-y_{1} =m(x-x_{1} )\\y-1 =\frac{1}{14} (x+3 )\\y-1=\frac{1}{14}x+\frac{3}{14}\\y=\frac{1}{14}x+\frac{17}{14}[/tex]

Please help me and example pleaseee!!!! due TODAY!

Answers

Answer:

i think x=4

Step-by-step explanation:

I'm too late aren't I... :c

What is the end behavior of the graph?

Answers

Negative!!!!!!!!!!!!!!
the answer is negative

Alice’s dog eats 9/4 pounds of dog food each day. How much dog food will the dog eat in 30 days?
135 pounds
135/2 pounds
135/4 pounds
135/9 pounds

Answers

Answer:

135/2

Step-by-step explanation:

In 1 day the dog eats 9/4 lbs

In 30 days the dog eats (9/4) * 30 lbs

                                     = (9 * 30) / 4

                                     =  135/2

Evaluate j(-1) given j(x)=2x^4-x^3-35x^2+16x+48 . Explain what your answer tells you about x+1 as a factor.

Answers

Answer:

ਹੋ ਹੈਰਾਨ ਹੋ ਜਾਵੋਗੇ ਤਾਂ ਉਹ ਵੀ

Step-by-step explanation:

ਸਭ ਹੱਕ ਹੈ ਇਸ ਦਾ ਕਾਰਨ ਹੈ ਅਤੇ ਨਜ਼ਰਨਜ਼ ਦੀ ਵਰਤੋਂ ਵਿਚ ਆਪਣੀ ਆਵਾਜ਼ ਬੁਲੰਦ ਕਰਦਾ ਸੀ ਉਹ ਇਸ ਮੌਕੇ ਉਨ੍ਹਾਂ ਦੇ ਉਲਟ ਹਨ ਪਰ

Hiroaki says that a constant of proportionality must be a whole number and cannot be a fraction or a decimal. Explain why Hiroaki is incorrect.

Answers

Hiroaki is incorrect because the line should go through the origin, Which means the Constant of proportionality couldn’t just be a whole number.

Hiroaki is mistaken since the line should pass through the origin, negating the possibility of the proportionality constant being a simple whole number.

What are Whole Numbers?

Whole numbers are defined as natural numbers plus zero (0). We are aware that the term "natural numbers" refers to a group of counting numbers beginning with 1, 2, 3, 4, and so forth. Whole numbers are a collection of numbers that don't contain any fractions, decimals, or even negative integers. It is made up of zero and positive integers. Alternately, we may define whole numbers as the collection of non-negative integers. The inclusion of zero in the set of whole numbers marks the main distinction between them and natural numbers.

What is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

What is a decimal ?

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

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