The school play sells children's
tickets for $3 each and adult
tickets for $5 each. They sold $340
worth of tickets The total number
of tickets sold was 80 How many
aduit tickets were sold?

Answers

Answer 1

Taking into account the definition of a system of linear equations, the number of adult tickets sold was 50.

System of linear equations

A system of linear equations is a set of linear equations in which two or more variables are related.

In the systems of equations, the values of the unknowns must be found, with which when replacing, they must give the solution proposed in the  equations.

Amount of adults tickets sold

In this case, a system of linear equations must be proposed taking into account that:

"a" is the amount of adults tickets sold."c" is the amount of childrens tickets sold.

You know:

The school play sells children's tickets for $3 each and adult tickets for $5 each. They sold $340 worth of tickets.The total number of tickets sold was 80.

The system of equations to be solved is

3c + 5a= 340

c + a= 80

From the several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "c" from the second equation:

c= 80- a

Replacing this expression in the first equation:

3×(80- a) + 5a= 340

Solving:

3×80- 3a + 5a= 340

3×80- 3a + 5a= 340

240- 3a + 5a= 340

- 3a + 5a= 340- 240

2a= 100

a=100÷ 2

a= 50

Finally, 50 adult tickets were sold.

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Related Questions

A class measured the radius r, circumference C, and area A of various circular objects. The results are recorded in thistable. b. Does the equation A=1/2*r* C describe the relationships in the table? Explain your reasoning.YesNor (cm) C (cm) A (cm)42550

Answers

Equation:

A =1/2 * r * C

Replace with the values from the table and check the equation:

First row:

50 = 1/2*4*25

50= 50 TRUE

Second row:

78.5= 1/2*5*31.5

78.5= 78.75 FALSE

Since one equality is false, the equation Doesn't describe the relationship-

Answer : NO

2
Select the correct answer.
Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x − 8?
A.
It is the graph of y = x where the slope is decreased by 8.
B.
It is the graph of y = x translated 8 units up.
C.
It is the graph of y = x translated 8 units to the left.
D.
It is the graph of y = x translated 8 units down.

Answers

Answer:

the answer of a question is option A

A rectangular prism is 9 inches long, 3 inches wide, and _____ inches high.
The volume of the box is 324 in.
What is the height of the box?

Answers

Answer:

height = 12

Step-by-step explanation:

try and use the formula to plug it in and solve for x.

-3/2 = -2/3w - 4/5 solve for w and simplify your answer as much as possible

Answers

Hello!

Here are all three solutions to the given equation.

Exact Form:

[tex]w=\frac{21}{20}[/tex]

Decimal Form:

[tex]w=1.05[/tex]

Mixed Number Form:

[tex]w=1\frac{1}{20}[/tex]

Hope this helps!

3) {(-7, 1), (2, -9), (-9, −4), (-1, -1), (-8, 0) }
Domain:
Range:

Answers

The domain would be: -7, 2, -9, -1, -8
The range would be: 1, -9, -4, -1, 0

What is the value of x?

Answers

Answer:

5

Step-by-step explanation:

I don’t understand can someone help me? Create a linear equation for the following data:

Answers

Given the data shown in the table, you can identify that these two points are on the line:

[tex](-1,7)(2,-2)[/tex]

By definition, the Slope-Intercept Form of the equation of a line is:

[tex]y=mx+b[/tex]

Where "m" is the slope of the line and "b" is the y-intercept.

You can find the slope of the line using this formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where these two points are on the line:

2. How much heat in kilojoules has to be removed from 225g of water to lower its temperature from 25.0oC to 10.0oC?

Answers

Answer:

-14.1 kJ

Step-by-step explanation:

We need the specific heat of water, which is 4.184 J/g-K.  It means that 4.184 Joules of energy will raise 1 gram of water by 1 degree Kelvin.  It also means that removing 4.184 Joules of energy will lower the temperature of 1 gram of water by 1 degree Kelvin.

We want to lower the temperature by 15 degrees C (-15C).  That is also -15K.  We have 225 grams of water.

 This can be used in the equation q = mc(T2 - T1),

 where q is the heat, or energy, m is the mass, c is the specific heat, and (T2-T1) is the temperature change, in Kelvin.

 q = mc(T2 - T1)

  q = (225g)(4.184 J/g-K)(10K - 25K)

   q = (225g)(4.184 J/g-K)(-15K)

 q = -14121 J  or -14.1 kJ

It is negative because heat is leaving the system.

Find the value of X

Answers

2x+90+30=180
2x+120=180
2x=60
x=30

Marques works in a department store selling clothing. He makes a guaranteed salary of $200 per week, but is paid a commision on top of his base salary equal to 10% of his total sales for the week. How much would Marques make in a week in which he made $750 in sales? How much would Marques make in a week if he made x dollars in sales?

Answers

The most appropriate choice for percentage will be given by -

Total salary of Marques in a week = $825

If Marques makes $x in sales, his total salary in a week = $([tex]750 + \frac{x}{10}[/tex])

What is Percentage?

Suppose there is a number and that number has to be expressed as a fraction of 100. The fraction is called percentage. For example 2% means [tex]\frac{2}{100}[/tex]

Here,

Guarantee salary of Marques = $200

Sales made by Marques in a week= $750

Percentage commission on total sales = 10 %

Commission received by Marques = [tex]\frac{10}{100} \times 750\\[/tex]

                                                          = $75

Total salary of Marques in a week = $(750 + 75)

                                                         = $825

If Marques makes $x in sales, his total salary in a week = $([tex]750 + \frac{10}{100}\times x[/tex])

                                                                                            = $([tex]750[/tex] + [tex]\frac{x}{10}[/tex])

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Using the formula °F = 1.8°C +32°, find the temperature in
Degrees Celsius of an oven that is 500°F.

Answers

Using the formula °F = 1.8°C +32°, The temperature in Degrees Celsius of an oven that is 500°F is 260°C.

What is Fahrenheit?

For everyday purposes, Fahrenheit is used in the United States, its territories, and related states (all of which are covered by the U.S. National Weather Service), as well as in Liberia, the Cayman Islands, and other places. For instance, temperatures for freezing, cooking, and other conditions are typically given in degrees Fahrenheit in the United States.

What is Celsius?

On the Celsius scale, one of the two temperature scales used in the International System of Units along with the Kelvin scale, the unit of temperature is the degree Celsius. The term "degree Celsius" can be used to describe either a specific temperature on the Celsius scale or a measurement of the difference between two temperatures.

Here,

°F=1.8°C+32°

500°F=1.8°C+32°

1.8°C=468°F

°C=468/1.8

°C=260°C

The temperature in Degrees Celsius of an oven that is 500°F is 260°C by using the formula °F = 1.8°C +32°.

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1. What is the value of 18 + (-7) – (-5)

Answers

Answer:

16

Step-by-step explanation:

Two negatives make a positive:

18-7+5

Solve the problem left to right:

18-7=11

11+5=16

what is the first step that contains an error

Answers

7+8x=0

first step -Subtract 7 from both sides.

7+8x-7=0-7

Step 2

8x=-7

Step 3

Divide both side by 8

[tex]\frac{8x}{8}=\frac{-7}{8}[/tex]

Instead of dividing the right hand side of equation in step 2 by 8, the right hand side is multiplied by 8 in step 3.

So, the error is in step 3.

Jessica is trying to save money to set aside for emergencies. she already has $75 and she earns $9 per hour at her family job. how many hours will she need to work to earn at least $500?

Answers

Answer:

Either 55.56 or 47.222 hours, depending on how the qyuestion is interpreted.  The first answer assumes that Jessica's existing savgings of $75 is not available for emergencies.

Step-by-step explanation:

The question is difficult to answer.  It doesn't specify that the $75 counts agains the $500.  It simply asks how many hours of work does she need to earn $500.

Jessica is paid $9/hr, so her earnings (y, in $) are described by the formula:  x hours at :

  y = ($9/hr)*x

If we set y = $500:

  $500 = ($9/hr)*x

   x = $500/($9/hr)

x = 55.56 hours.

However, if we set y = $500 - $75, the Jessica only needs to work:

      $425 = ($9/hr)*x

      x = $425/($9/hr)

     x = 47.222 hours

Given m ||n, find the value of x and y.

Answers

Answer:  The correct answer is x=18 and y=59

Step-by-step explanation:

Opposite angles are congruent:

(6x+13) = (7x-5)

Solve for x:

6x+13−7x=7x−5−7x

−x+13−13=−5−13

−x=−18

x=18

Plug x value in for y:

Y=180-(7x-5)

Y=180-(126-5)

Y=180-121

Y=59

How is a number squared?Select one:a. Multiplying a number by 4. b. Multiplying a number by itself. c. Dividing a number by 4. d. Dividing a number by itself.

Answers

A number is squared when it is multiplied by itself.

Hence, the correct option is Option B

find h from this help please

Answers

The variable h, as the subject of the given formula is h = 3 / (G.V + 1)

Making a variable the subject of the formula

From the question, we are to make h the subject in the given formula

The given equation is

(3 - h) / V = G . h

Multiply both sides of the equation by V

V × (3 - h) / V = G . h × V

3 - h = G . h . V

Add h to both sides

3 - h + h = GhV + h

3 = GhV + h

Factorize h

3 = h(G.V + 1)

Now,

Divide both sides of the equation by (G.V + 1)

That is,

3 / (G.V + 1) = h

∴ h = 3 / (G.V + 1)

Hence, the value of h is 3 / (G.V + 1)

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Alexa buys an oil painting online for $941.20. If shipping and handling are an additional 20% of the price, how much shipping and handling will Alexa pay?

Answers

No clue g my fault
………….….


Solve for X round to nearest tenth

Answers

Answer:

the answer for this question is 35.0

Sin 59 = opp / hyp
Hyp = opp /sin 59
= 30/0.636 (note that sin 59 is 0.636)
= 47.16

which pair of equations is a set of parallel lines ? a. y = x + 2 and y = 2 b. x = 2 and y = 4

Answers

Neither of the pairs of linear equations has the same slope in both lines, so we don't have parallel lines.

Which pair of equations is a set of parallel lines?

A general linear equation is of the form:

y = m*x + b

Where m is the slope and b is the y-intercept.

Two linear equations are parallel only if both lines have the same slope and a different y-intercept.

In this case, the lines given are:

y = x + 2 and y = 2.

x = 2 and y = 4

Neither of these are particularly parallel lines (because in both pairs we have different slopes), so we conclude that there is no correct option.

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What is DA equal to? Brainiest if correct and please show your answer.

Answers

Answer:

DA is equal to 25 or BA

Step-by-step explanation:

ABC

ADC

Since we know that line CA is equal to line CA because of reflexive propertyAngle BAC and DAC are equal because of definition of an angle bisectorAngle ABC and ADC are equal because of definition of an angle bisectorThis will give us ASA, proving to us that all sides and angles are congruent (this was already given to us)So, if BA is 25, and we know that BA is congruent to DA, this tells us that DA is 25

10 miles per hour equal feet per second

Answers

Let's recalll that:

• 1 mile per hour = 1.46667 feet per second

Therefore:

• 10 miles per hour = 1.46667 * 10 feet per second

,

• 10 miles per hour = 14.6667 feet per second, Khalil!

What is the answer to this ive been doing this all day and still cant figure it out

Answers

The proof explained below shows that the triangles are congruent by the AAS congruence theorem.

What is the AAS Congruence Theorem?

The AAS congruence theorem states that two triangles can be proven to be congruent to each other if the two angles and a non-included side in one triangle is equal or congruent to two corresponding angles and a corresponding non-included sides in the other triangle.

This implies that, once the criteria needed prove that two triangles are congruent by the AAS congruence theorem are two pairs of congruent angles and a pair of non-included congruent sides.

Using the AAS congruence theorem, the two-column proof that shows each statement and the reason are explained below.

Statement                                   Reason                                        

1. CA bisects angle BAD          1. Given

angle B ≅ angle D                                  

2. Angle CAB ≅ angle CAD     2. Congruent angles formed from bisection

3. Side AC ≅ side CA               3. Reflexive property

4. Triangle ABC ≅ triangle ADC    4. AAS congruence theorem

Thus, the above reasons and statements shows that the two triangles, triangle ABC and triangle ADC, are congruent by the AAS congruence theorem.

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(10-x)+(12-x) HELPPPPPPPPPPPPPPPPPP

Answers

Answer:

x=-11

Step-by-step explanation:

Steps are in the attachment, but I couldn't include the last step.

The last step is to divide by -2 on both sides.

The final answer then will be x=-11

[tex]x^{2} + 2x _5=0[/tex]

Answers

Step-by-step explanation:

Substitute the values

a

=

1

,

b

=

2

, and

c

=

5

into the quadratic formula and solve for

x

.

2

±

(

2

)

2

4

(

1

5

)

2

1

Simplify.

x

=

1

±

6

Simplify the expression to solve for the

+

portion of the

±

.

x

=

1

+

6

Simplify the expression to solve for the

portion of the

±

.

Josiah skateboards from his house to school 3 miles away. It takes him 36 minutes. If Josiah's speed, in miles per minute, is constant, what is the constant of proportionality? Type the number that represents the constant of proportionality in the box below.

Answers

13

Step-by-step explanation:

i said 36 divide by 3 is 13

the length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 8 cm/s. when the length is 7 cm and the width is 4 cm, how fast is the area of the rectangle increasing (in cm2/s)?

Answers

The rate at which the area is increasing is 95cm/sec² .

Let us take the variable a to be the length of the rectangle and take the variable to b be the width of the rectangle.

We know that the area of the rectangle is given by A=a × b

Now differentiating with respect to t we get :

[tex]\frac{dA}{dt} = w\times\frac{da}{dt} +l\times\frac{db}{dt}[/tex]

Substituting the values we get that the rate of increase in the area is :

Rate of increase = (32 + 63) cm/sec² = 95 cm/sec²

A constant function is also regarded as linear in this sense because it is a polynomial of degree zero, or the zero polynomial.

A line segment represents the graph of a single variable.In this context, a function that is also a linearly map may be referred to as a homogeneous linear function or a linear form (the other meaning). In the context of linear algebra, the scalar-valued affine mappings are functions of degree 0 or 1.

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high school seniors in a small town are asked a series of questions to measure the frequency of their drinking and driving. the students give consistent answers to the series of questions, but police records indicate that drinking and driving is much more common than indicated by the students' responses. this suggests that the measure of frequency of drinking and driving is:

Answers

When a study's findings are highly valid, it means that they accurately reflect the genuine features, traits, and variations in the physical or social reality. The measure of frequency of drinking and driving is: reliable but not valid.

What are the measure of frequency of drinking and driving?

This option contends that although the survey's measure was not valid, it was dependable. This happens when research is constructed in a consistent but ineffective manner. In this instance, a sample of young people from a small town was taken into account; however, despite its consistency and reliability, it does not accurately reflect the findings of data from police records.

How well a method measures what it is supposed to measure is known as its validity. When a study's findings exists highly valid, it indicates that they accurately reflect the genuine features, traits, and variations in the physical or social reality. High dependability exists one sign of a valid measurement.

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Which points are solutions to the system of inequalities shown below?
Check all that apply.
y2 x + 3
y< 2x
X>6
A. (8, 12)
B. (6, 11)
C. (7,10)
D. (5, 10)
E. (8, 10)
F. (9,12)

Answers

Solution for the given Inequality

x > 6 : (6 , 11), (5 , 10)

y < 2x: (8, 12), (6, 11), (7,10), (5, 10), (8, 10), (9,12)

What is Inequality?

Inequality of wealth in major cities Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income.

Let us study each inequality and find the right solutions

∵ x > 6

∴ The x-coordinates of the points are 7,8,9

- That means answer A and D is out because its x-coordinate not greater

 than 6 ⇒ (6 , 11), (5 , 10),

∵ y < 2x

∴ The y-coordinates of the points are 10,11,12

- That means all are answers because y-coordinates is

not greater than 2x ⇒  (8, 12), (6, 11), (7,10), (5, 10), (8, 10), (9,12)

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What is 420÷6 hellllll,lllllllllllllllpppppp I n ee d it now

Answers

Answer:

70

Step-by-step explanation:

Answer:
It’s 70.
Explanation: Start by setting the divisor 6 on the left side and the dividend 420 on the right:

70 ⇐ Quotient
―――
6)420 ⇐ Dividend
42
--
⇐ Remainder
420 divided by 6 is an exact division because the remainder is zero.
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