Your chool i putting on a production of Wet Side Story. Ticket cot $5 for tudent and $9 for non-tudent. On one night there were three time a many tudent a there were non-tudent. On thi night, they old $4,608 in ticket. How many tudent ticket were old? How many non-tudent ticket were old?

Answers

Answer 1

On that particular night, there were 144 student tickets and 432 non-student tickets sold.

Let x be the number of student tickets sold that night

y be the number of non-student tickets sold that night

On that night, there were three times as many student as there were non-students. Hence, we can write that as an algebraic expression such that

3x = y

If tickets cost $5 for students and $9 for non-students, and on that night, they sold $4,608 in tickets, then we can express that as

$5x + $9y = $4608

5x + 9y = 4608

Substitute the value of y from the first expression to the second and solve for x.

5x + 9y = 4608

5x + 9(3x) = 4608

5x + 27x = 4608

32x = 4608

x = 144

Plug in the value of x into the first expression and solve for y.

y = 3x

y = 3(144)

y = 432

Hence, the number of tickets sold on that night to students and non-students were 144 and 432, respectively.

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Related Questions

Can you complete the equation how many fifths are equivalent to 6/10 this is just for fun

Answers

The number of 5ths in the fraction, 6/10 are 3, or there are 3 1/5s in 6/10


What is a fraction?

A fraction is a representation of a part of a whole. A fraction consists of a number (the numerator) known as the dividend, being divided by another number, (the denominator), also known as the divisor, arranged one over the other.

The expression of a fifth is 1/5

The number of fifths in 6/10 can be obtained by dividing 6/10 by 1/5 as follows;

6/10 ÷ 1/5 = 3

The number of fifths in 6/10 are 3 fifths

The number of fifths in 6/10 can also be obtained by simplifying the fraction, 6/10 as follows;

6/10 = (2 × 3)/(2 × 5) = (2/2) × (3/5)

2/2 = 1, therefore;

6/10 = 1 × 3/5 = 3/5

3/5 = 3 × 1/5

Therefore;

6/10 = 3/5 = 3 × 1/5

6/10 = 3 × 1/5

3 × 1/5 = 6/10

There are three 1/5s (fifths) in 6/10

The number of fifths in 6/10 are three

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–3m = –786




10 POINTS AND BRILLIANTEST

Answers

Answer: I think it’s m= 262

Step-by-step explanation:

Answer:

m = 262

Step-by-step explanation:

Now we have to,

→ find the required value of m.

The equation is,

→ -3m = -786

Then the value of m will be,

→ -3m = -786

→ m = (-786)/(-3)

→ m = 786/3

→ [ m = 262 ]

Hence, the value of m is 262.

PLS HELP ME!! I NEED THE ANSWER NOW!

Which is the slowest rate?

A- 2133 km in 6 hr
B- 3267 km in 11 hr
C- 1456 kn in 4 hr
D- 2461 in 9 hr

Answers

Answer:

d

Step-by-step explanation:

evaluate the function for x=5:f(x)= 2x-4/3

Answers

Answer: 26/3

Step-by-step explanation:

[tex]f(x) = 2x - \frac{4}{3} \\f(5) = 2(5) - \frac{4}{3} \\f(5) = 10 - \frac{4}{3} \\f(5) = \frac{30}{3} - \frac{4}{3} \\f(5) = \frac{26}{3}[/tex]

In this question we need to evaluate the function f(x) = (2x-4)/3 for the question to be solved with perfect answer.

Evaluating a function means:

Replaces or substitutes each variable with the specified number or expression.

Now, according to question we have to replace x with number 5 so we can get the desired solution.

First evaluate by replacing and substituting the function for variable x with number 5 which is x=5. Hence by replacing the given number gives us the following equation

f (5) = (2*5-4)/3

Now, simplifying

f (5) = (10-4)/3

f (5) = (6)/3

f (5) = 2

Hence, the correct answer for this is 2.

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Complete the following:

Write an exponential expreion: chooe a number between 0 and 10 to be the bae and another number between 0 and 10, different from the bae, to be the exponent. Label the bae and the exponent. Then write the exponential expreion in expanded form and tandard form. Eay

Answers

The base is 5 and the exponential is 2. This can be written in expanded form as 5 multiplied by 5, which is equal to 25. In standard form, this can be written as 52, which is shorthand for the same calculation.

Base: 5

Exponent: 2

Expanded form: 5 x 5

Standard form: 52

An exponential expression is a mathematical expression that uses the operation of exponentiation. In this expression, one number, known as the base, is raised to the power of another number called the exponent. To write an exponential expression, choose a number between 0 and 10 for the base and another number between 0 and 10, different from the base, for the exponent. Then, write the exponential expression in expanded form and standard form. For example, if the base is 5 and the exponent is 2, then the expression can be written in expanded form as 5 multiplied by 5, which is equal to 25. In standard form, this can be written as 52, which is shorthand for the same calculation. This expression can be used to represent any number or calculation that can be written in exponential form.

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find the first 5 sequences n²+2

Answers

Answer:

3, 6,  11, 18, 27

Step-by-step explanation:

[tex]1^{2}[/tex] + 2 = 3

[tex]2^{2}[/tex] + 2 = 6

[tex]3^{2}[/tex] + 2 = 11

[tex]4^{2}[/tex] + 2 = 18

[tex]5^{2}[/tex] + 2 = 27

how far above the ground is the ladder

Answers

The length from the point the ladder touche the wall from the ground 13 feet approximately to the nearest whole number derived using the Pythagoras rule

What is the Pythagoras rule

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

We shall represent the length of the from the wall where the ladder touches the wall to the ground with the letter x, such that by Pythagoras rule we evaluate for the hypotenuse as follows;

14² = x² + 5²

196 = x² - 25

x² = 196 - 25 {subtract 25 from both sides}

x² = 171

x = √171 {take square root of both sides}

x = 13.08

Therefore, the ladder is 13 feet approximately to the nearest whole number from the ground to where it touches the wall using the Pythagoras rule

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How do you show a solution to a system of inequalities?.

Answers

The ordered pair that is a solution to all system inequalities is the linear inequality's solution, and the linear inequality's graph is the system's solution graph.

Shade the half-plane that satisfies the inequality and graph one line at a time in the same coordinate plane.

How can one tell if an inequality system has a solution?

The system does not have a solution when two inequalities have parallel lines and the shaded areas do not overlap (i.e., the opposite areas are shaded). As a result, neither of the inequalities can be proven true at any given coordinate point.

How can you tell if a system has a fix?

Solution to a System of Linear Equations To determine whether a point is a solution to a system, we will either look for the point of intersection of two lines on a graph or look for the point's algebraic location on both lines.

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The center of the circle i hown. The diameter i 4 unit. A circle centered on a coordinate plane at the origin begin ordered pair 0 comma 0 end ordered pair. The circle pae through point begin ordered pair 2 comma 0 end ordered pair and begin ordered pair negative 2 comma 0 end ordered pair. What i the exact area of the circle?
Repone



unit²
2 π , unit²

unit²
4 π , unit²

unit²
8 π , unit²
16π

unit²
16 π , unit²

Answers

The exact area of the circle is 4π [tex]units^2[/tex].

The center of the circle is at the origin (0,0)

The diameter of the circle = 4 units.

So, the radius of the circle = 2 units.

The circle passes through points (2,0) and (-2,0). The given points are on the x-axis and they are exactly 2 units away from the origin

The area of a circle  A = π [tex]r^2[/tex],

where A is the area, π is approximately 3.14 and r is the radius of the circle.

So, the area of the circle with a radius of 2 units is A = π [tex]r^2[/tex] = π([tex]2^2[/tex]) = 4π [tex]units^2[/tex]

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On a map, tony stark's house and spiderman's house are 3.5 inches apart. The map legend says that each inch represents four miles. How far apart are their houses?

Answers

Answer:14

Step-by-step explanation: This question is asked oddly but I believe it's still 14

3.5 x 4 = 14

Brooke has 3 more dresses than Sarah. Which 2-variable equation shows how many dresses Brooke owns?

Answers

B = 3 + S

Where:

B = Brooke's number of dresses S = Sarah's number of dresses

In this equation, B stands for Brooke's number of dresses and S stands for Sarah's number of dresses. The equation states that Brooke's number of dresses is three more than Sarah's number of dresses, so if we know how many dresses Sarah has, we can calculate how many dresses Brooke owns.

For example, if Sarah owns 6 dresses, then Brooke owns 9 dresses (6 + 3).

The equation B = 3 + S shows that Brooke has three more dresses than Sarah. Knowing Sarah's number of dresses allows us to calculate Brooke's number of dresses by adding three.

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What is the initial value of the function?

Answers

Answer:

In math, the initial value of a function means that it is the y-intercept of the function. For instance, if the function is f(x)=2x+3 f (x) = 2x + 3 , the y intercept, (initial value) is 3 . This value is graphed on the y axis.

Step-by-step explanation:

Answer:

In math, an initial value of a function means that it is the y-intercept of the function. Knowing the y-intercept will help in graph functions. For instance, if the function is f(x)=2x+3 f ( x ) = 2 x + 3 , the y intercept, (initial value) is 3 . This value is graphed on the y axis.

Step-by-step explanation:

You are planning a three-day trip to Seattle, Washington, in October. Use the fact that on each day, it could either be
sunny or rainy, and that each day is equally likely to be sunny or rainy to answer the following question.
What is the probability that it rains all three days?

Answers

So the probability that it is sunny on a day is P(S) = 0.5, and the probability that it is rainy is P(R) = 0.5
The probability that it is sunny on all 3 days is then 0.5^3 = 1/8 = 0.125
The probability that it rains on at least one day is then 1 - 1/8 = 7/8 = 0.875

Good luck!

How do you solve a system of equations by 8th grade?.

Answers

There are different methods to solve a system of equations, but some common ones that are typically taught in 8th grade are graphing, substitution and elimination.

Graphing: This method involves plotting each equation on a coordinate plane and then finding the point of intersection, which represents the solution of the system.

Substitution: This method involves solving one equation for one of the variables and then substituting that expression into the other equation. This will give you an equation with only one variable, which you can then solve.

Elimination: This method involves adding or subtracting the equations in such a way that one of the variables is eliminated. This will give you an equation with only one variable, which you can then solve.

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Select the correct answer. Consider the graph of f(x) given below. A curve labeled f of x declines through the points (negative 4, 7), (negative 3, 6), (negative 2, 5), (0, 3), (2, 1), (3, 0), (4, negative 1), (5, negative 2), (6, negative 3) and (7, negative 4) on the x y coordinate plane. The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)? A. g(x) = f(x) - 5 B. g(x) = f(x) - 2 C. g(x) = f(x - 5) D. g(x) = f(x + 2)

Answers

The functions could represent g(x) is C. g(x) = f(x - 5)

How to find the function?

Using the general equation as Witten which can be used to find the y intercept of the line

g(x) = f(x) + b

The g(x) has intercept of y=-2,

Then the  y-intercept of f(x) is at y=3

If we find the difference between both y-intercepts, we have

Recall that the y-intercept is the point where the graph intersects the y-axis

( -2 -3) = -5

This implies that the intercept of the line is -5

Then b=-5

Hence, g(x) = f(x - 5) is correct option for the function

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QUICK PLEASE I REALLY NEED HELP !!!

Answers

The transformation will map ΔABC onto image ΔA'B'C' is, a reflection in the line y = x. So Option C is correct

What is a triangle?

In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°

If anyone of the triangle is 90° then it is called as right angle triangle

Given that,

Two triangles,

First,   ΔABC

Whose coordinates are A(1,3), B(1, 6), C(4, 6)

Second,  ΔA'B'C'

Whose coordinates are A'(3, 1), B'(6, 1), C'(6, 4)

There is only one transformation is  possible,

Which is a reflection in the line  y = x

Because,  the distance of the points will be equal from the line y = x

In comparison of corresponding points

Hence, the transformation is a reflection in the line y = x

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What is the slope of y =- 5x?.

Answers

The slope of the line y = -5x is -5

The slope of the Line

The slope of a line is a measure of its steepness or incline. It is calculated as the ratio of the change in the y-coordinate (rise) to the change in the x-coordinate (run) between two points on the line. Mathematically, it is represented as "m" in the equation y = mx + b, where "m" is the slope, "x" and "y" are the coordinates of a point on the line, and "b" is the y-intercept.

If the slope is positive, the line rises as it moves from left to right. If the slope is negative, the line falls as it moves from left to right. If the slope is zero, the line is horizontal. If the slope is undefined, the line is vertical.

According to the question,

The slope of a line in the equation y = mx + b, where m is the slope of the line and b is the y-intercept, is the coefficient of x.

In the equation y = -5x, the slope of the line is -5.

The slope of a line represents the steepness or the "slant" of the line. It is the ratio of the change in y to the change in x. In the equation y = -5x, the slope of the line is negative, which means that the line is slanting downwards as we move from left to right on the graph. The absolute value of the slope gives the steepness of the line, in this case, the line is steep because the absolute value of -5 is 5.

A negative slope indicates that the line is decreasing and for every 1 unit increase in the x-axis, the y-value will decrease by 5 units. Conversely, for every 1 unit decrease in the x-axis, the y-value will increase by 5 units.

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Latoya bought a new rack for her CD collection. She has 977 CDs. Each row of the rack holds 12 CDs. How many rows can she fill? Write the answer as a mixed number

Answers

Latoya can fill 81 5/12 rows for her CD collection

What are algebraic operations?

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

According to the data problem,

Total CDs= 977Row capacity = 12 CDs/rackNumber of row = ?

Calculating how many rows can she fill, we get:

Number of row = Total CDs / Row capacity

Number of row = 977 /12

Number of row = 81 5/12

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A man deposits 400 naira with a bank which pays 5% interest per annum. How many years will the money in his savings account grow up to 500 naira?​

Answers

Answer: The formula for compound interest is A = P(1 + r/n)^(nt) where A is the amount, P is the principal (initial deposit), r is the interest rate, t is the time in years, and n is the number of times compounded per year.

To find out how many years it will take for the money to grow to 500 naira, we can set A equal to 500, P equal to 400, r equal to 5% (or 0.05), and n equal to 1 (since the interest is compounded annually).

Plugging these values into the formula, we get:

500 = 400(1 + 0.05)^t

By solving this equation, t = 3.32 years.

So, it will take 3.32 years for the money in the savings account to grow to 500 naira.

Step-by-step explanation:

Last football season the starting quarterback of a professional football team completed just 55% of his attempted passes. The owner of this team has given the quarterback the ultimatum that he must improve his completion percentage during the off season or he will be fired. The owner plans to use a random sample of 50 passing attempts at the end of spring training to test the hypotheses where p represents the true proportion of passes this quarterback can complete after training during the off season. If the owner wants to minimize the chance of firing the quarterback when he really has improved, should he use a significance level of 0. 01 or 0. 10

Answers

The owner should use a significance level of 0.10 to minimize the chance of firing the quarterback when he has improved.

The owner should use a significance level of 0.10, not 0.01 when evaluating the quarterback's performance. The significance level is the probability of making a type I error, which is rejecting the null hypothesis when it is true. A lower significance level (e.g. 0.01) means that the owner is setting more stringent criteria for accepting the null hypothesis, and therefore is more likely to reject it and potentially fire the quarterback, even if he has improved.

On the other hand, a higher significance level (e.g. 0.10) means that the owner is setting less stringent criteria, and therefore is less likely to reject the null hypothesis and fire the quarterback if he has improved. In this case, the owner wants to minimize the chance of firing the quarterback when he has improved, so it is better to use a higher significance level of 0.10.

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A microscope shows an image of an object that is 60 times the object's actual size. So, the
scale factor of the enlargement is 60. An insect has a body length of 5 millimeters. What is the
body length of the insect under the microscope?
30 millimeters
300 millimeters
300 centimeters
3,000 millimeters

Answers

If the body of insect has length of 5m, then in microscope of a scale factor of 60, it will become 300 millimetres

What is scale factor?

Scale factor is a multiplying entity that falls between (0, infinity). Depending on the scale factor, an original figure may be increased or decreased.

Imagine that you have two circles that are visually identical. Even though both circles are described as identical, this does not guarantee equality. Their radii might differ. The one figure would be the scaled version of the other one.

Scale factors and the ideas of ratio and proportion go hand in hand. In ratio and proportion, we multiply or divide a given quantity to create a new one.

If the scale factor is 60

Then body length of insect under the microscope is

5 ×  60

= 300 millimetres

Thus, If the body of insect has length of 5m, then in microscope of a scale factor of 60, it will become 300 millimetres

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How do you do algebraic expressions Grade 6?.

Answers

One can solve basic algebraic expressions by following these steps.

In grade 6, students typically learn to solve basic algebraic expressions by following these steps:

Identify the variable and the coefficient (number in front of the variable) in the expression.

Use the order of operations (PEMDAS) to simplify any arithmetic within the expression.

Use the distributive property to combine like terms.

Isolate the variable on one side of the equation by using inverse operations (such as adding or subtracting the same value from both sides, or dividing or multiplying both sides by the same non-zero value).

Substitute in a value for the variable to find the numerical value of the expression.

It's good to practice with a lot of examples and check the solutions and ask for help if needed.

Example:

Solve for x: 3x + 2 = 12

variable is x, coefficient is 3

nothing to simplify

nothing to combine

subtract 2 from both sides: 3x = 10

divide both sides by 3: x = 10/3 or 3.3333

x = 3.3333

It's important to note that solving algebraic expressions can become more complex as the student progresses, but the basic steps remain the same.

Thus, One can solve basic algebraic expressions by following these steps.

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Which jam recipe has more strawberry flavor?
Recipe A
3 cups strawberries
1/2 cup sugar
Recipe B
5 cups strawberries
1 cup sugar Help please

Answers

The jam recipe that has more strawberry flavour would be recipe A with 1 cup of sugar to 6 cups of strawberries.

What is a recipe?

A recipe is defined as the a structured list that contains all the substances that are used for the preparation of a meal.

Recipe A contains the following;

Strawberries = 3 cups

sugar = 1/2

Therefore 1 cup of sugar = 6 cups of strawberries

Recipe B contains the following:

Strawberries = 5 cups

sugar = 1

Therefore 1 cup of sugar = 5 cups of strawberries

It can be concluded that jam recipe that has more strawberry flavour would be recipe A with 1 cup of sugar to 6 cups of strawberries.

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Please reduce each fraction and give the variable values to make the solution work.

Answers

Answer:

10

Step-by-step explanation:

hi

What is the slope and y-intercept of y =- 9?.

Answers

The slope and y-intercept of y=-9 is 0 and (0,-9).

Linear equations can be written in the form y=mx+b, where:y is a y coordinate on the line m is the slope of the line.A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Change y=9 in the slope-intercept form: y=mx+c, where m is the slope of the line and c is the y-intercept, y=0(x)+(-9),

Comparing the equation y=0(x)+9 with the equation y=mx+c, we get that m=0. It is a horizontal line. The slope = 0.

The line cuts the y-axis at the point (0,-9), The y-intercept is at the point  (0,-9)

Hence, the slope and y intercept is 0 and (0,-9).

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What is the formula of a parabola with the vertex at 2/3 and focus at 0 3 )?.

Answers

The formula of a parabola with the vertex at (2,3) and focus at (0,3) is (y - 3)² = 8(x - 2)

The term vertex in math is known as a special point of a mathematical object, and is usually a location where two or more lines or edges meet.

Here we have given the value of a parabola with the vertex at (2,3) and focus at (0,3).

As we all know that the general form of the vertex is written as,

=> (y − k)² = 4a(x − h) for horizontal parabola

Here we have given that Vertex (2,3) and focus (0,3)

Then it can be easily noticed that focus and vertex lie on the same horizontal line y = 3

Which defined that the axis of symmetry is a horizontal line and also here the focus lies to the right of the vertex so the parabola will open up rightward.

Then the vertex equation is written as,

=> a = 2 - 0 = 2

=> (y - 3)² = (4 x 2) (x - 2)

=> (y - 3)² = 8(x - 2)

Complete Question:

What is the formula of a parabola with the vertex at (2,3) and the focus at (0,3)?

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Please help me with 4 and 5!!!

Answers

Answer:

4. [tex]4^{x}[/tex] - [tex]2x^{2}[/tex] + 5x - 19

5. -[tex]4x^{3}[/tex] + [tex]x^{2}[/tex] - x - 5

Step-by-step explanation:

Find f - g

4. f(x) = 4^x - 7 and g(x) = 2x^2 - 5x + 12

f(x) - g(x) = 4^x - 7 - (2x^2 - 5x + 12)

distribute the -1 to 2x^2 - 5x + 12

4^x - 7 - 2x^2 + 5x - 12

combine like terms

4^x - 2x^2 + 5x - 19

5. f(x) = 3x - 8 and g(x) = 4x^3 - x^2 + 4x - 3

f(x) - g(x) = 3x - 8 - (4x^3 - x^2 + 4x - 3)

distribute the -1 to 4x^3 - x^2 + 4x - 3

3x - 8 - 4x^3 + x^2 - 4x + 3

combine like terms

-4x^3 + x^2 - x - 5

Are all triangles 180 degrees?.

Answers

Answer:

Every triangle has interior angles that add up tp 180°

Step-by-step explanation:

How is a complex number expressed?.

Answers

Complex numbers are those expressed as a+ib, where a, b are real numbers and I is a fictitious number called a "iota." I is equal to (-1).

A complex equation is one that needs complex numbers to be solved. Complex numbers are those that have both real and fictitious components. It is spelled out as follows: Both the letters A and B in the previous equation stand for numerical values. 4+3i is an example of a complicated number.

Complex issue solving is a set of self-regulated psychological processes and activities that are used to achieve ill-defined goals that cannot be accomplished through typical behaviors. Numerous strategies and creative knowledge combinations are needed.

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What i the area of a rectangle with a length of 14. 4 inche and a width that i one-third of the length?

43. 2 in. 2
51. 84 in. 2
69. 12 in. 2
103. 68 in. 2

Answers

Answer:

43. 2 in. 2

Step-by-step explanation:

]43. 2 in. 2, 103. 68 in. 2

Other Questions
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