Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65. For
one performance, 40 advance tickets and 20 same-day tickets were sold. The total amount paid for the tickets was $1900. What was the price of each kind of
ticket?

Answers

Answer 1

Answer:

advance tickets $30.00

same day tickets $35.00

Step-by-step explanation:

1. In this equation, you are trying to find two values so you must use system of equations. Your two equations would be:

40x +20y = 1900

x + y = 65

x represents the price of advance tickets and y represents the price of same day tickets.

2. Solve the equation by performing elimination using multiplication. Multiple one equation by a constant to get two equations that contain opposite terms.

40x + 20y = 1900

-40(x + y = 65) → -40x + -40y = -2600

3. Add the equations, eliminating one variable. (add -40x + -40y = -2600 to 40x + 20y = 1900)

   40x + 20y = 1900

+ -40x + -40y = -2600

Results in: -20y = -700

Solve for y by dviding both sides by -20.

y = 35

4. Substitute the solved value into one of the equations and solve for the remaining variable.

x + 35 = 65

Subtract 35 from both sides to solve for x.

x = 30

The advance tickets were $30.00 and the same day tickets were $35.00.


Related Questions

Help please can’t get this wrong. Am I doing this right if not correct me. And how do I write it

Answers

Answer:

I think it’s correct

Step-by-step explanation:

PLEASE HELP ME ITS REALLY IMPORTANT PEASE SOLVE THE PROBLEM IN THE PHOTO!!

Answers

Answer:

Jack, Nate, Oliver

Step-by-step explanation:

[tex]1\frac{1}{4} < |-2\frac{1}{4}| < |3\frac{1}{2}|[/tex]

Stone bridge neighborhood garage sale had these cash receipts for 5 days: $214.50, $125.17, $245.30, $165.34, $58.75. What were the total cash receipts?

Answers

The answer is 809.22

Answer: 809.06‬

Step-by-step explanation:

$214.50 +  $125.17 +  $245.30 + $165.34 +  $58.75 =  809.06‬

Help me plzzzz plzzz

Answers

Answer:

1st Choice

Step-by-step explanation:

The fastest way to do this is by thinking of translations. If you are trying to move it left or right, it will be inside the cube root. If you want to move it vertically, it will be outside the root. In the graph, the child function is moving from the parent function to the right. This means we can eliminate choices C and D. We are left with A and B. A is the right choice because you take the negative of the direction you want to move in. Thus, you have your answer.

Answer:

A

Step-by-step explanation:

g(x)=∛(x-4)

Work it out for me plz

Answers

Answer:

180 centimeters cubed.

Step-by-step explanation:

The volume of a cuboid is lwh.

Length × Width × Height

(9)×(5)×(4)

(45)×(4)

=180

Answer:

180 cm^3

Solution,

[tex]volume \: of \: cuboid \\ = l \times w \times h \\ = 5 \times 9 \times 4 \\ = 180 {cm}^{3} [/tex]

hope this helps...

Good luck on your assignment...

factorise fully 6x+4

Answers

Answer:

2(3x+2)

Step-by-step explanation:

=> 6x+4

Taking 2 common

=> 2(3x+2)

Answer:

2(3x + 2)

Step-by-step explanation:

2(3x + 2) = 6x + 4

Brainliest for whoever gets this right!

Please help ASAP!

Find the inequalities which describe the region that’s shaded

Answers

Answer:

The lines that make this up are y = 5, x = 4 and y = x so the answer is y ≤ 5, x ≥ 4 and y ≥ x.

01:58:01
The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?
Save and Exit
Next
Submit

Answers

Answer:

Number of sides = 18

Step-by-step explanation:

Using the formula given below for this

=> [tex](n-2)*180 = measure of interior angles[/tex]

=> (n-2)*180 = 2880

Dividing both sides by 180

=> n-2 = 16

Now, Adding 2 to both sides, we get

=> n = 18

Answer:

20

Step-by-step explanation:

1. Now consider equations of the form , where a, b, and c are all positive integers and . (a) Create an equation of this form that has 7 as a solution and an extraneous solution. Give the extraneous solution. (b) What must be true about the value of to ensure that there is a real number solution to the equation? Explain.

Answers

a) To create an equation

X+X =7

so what's X over here is

7² = x²

X=3.5

b) Real numbers are mixture of irrational and rational numbers so √5 and √6 are irrational where as 5 and 6 are not but they two are equal to each other.

Explaining the equation:

√5 +√6 = √11

5 +6 = 11

√11 =11

√= 11 ÷ 11

√= 1

So if root is 1 then -1 is -√

this is the answer propably

the table shows the heights of 40 students in a class calculate an estimate for the mean height of the students

Answers

Answer:

For mean

To show the mean of height measures for 40 students, you need to write-out exactly 40 heights into a calculator and add them up.

Then divide that total number by 40.

Step-by-step explanation:

Eg for 4 students

5 , 5.1, 5.2, 5.7 = 21ft

21/4 = 5.25ft.

Apply the same method but use 40 measures in addition for calulator or long addition. Then divide by 40.

What is the scale factor in the dilation

2/5
1/2
2
2
1/2

Answers

2 1/12 is the dilation. Divide one of the biggest shape’s side by the same side on the smaller one.

Answer:

I think D, or 2 1/5

Step-by-step explanation:

Which expression entered into a graphing calculator will return the probability
that a data value in a normal distribution is between a z-score of -0.18 and a
Z-score of 1.99?
A. normalcdf(0.18, 1.99)
B. normalcdf(-1.99,0.18)
C. normalcdf(1.99, 0.18)
O
D. normalcdf(-0.18, 1.99)

Answers

The expression that returns the probability that a data value in a normal distribution is between a z- score of -0.18 and a z-score of 1.99 is (d) normalcdf(-0.18, 1.99)

How to determine the expression?

To calculate the probability between two z-scores is to calculate the area between the z-scores.

This is done using the following syntax:

normalcdf(lower bound, upper bound)

From the question, the lower and the upper z-scores are -0.18 and 1.99

So, the formula would be normalcdf(-0.18, 1.99)

Hence, the expression is (d)

Read more about normal distribution at:

https://brainly.com/question/25991460

Can someone please help

Answers

Answer:

The answer is B

Step-by-step explanation:

When you reflect it over the x-axis you have to change the coordinates of each number.

Answer:

B. (1, -1), (1, -4), (3, -1)

Step-by-step explanation:

If a triangle is reflected across the x-axis, it's y coordinate values will become negative or positive if it's already negative. It uses the rule (x, -y)

(1, 1) → (1, -1)

(1, 4) → (1, -4)

(3, 1) → (3, -1)

Only B. (1, -1), (1, -4), (3, -1) is correct.

Choose the graph that displays the solution to the system of equations.
x = y - 2
y-8 =
2


Answers

Answer:

The first graph is the solution to:

x = y - 2  (blue line)

y-8 = -1/2x (red line)

where the solution is (4,6)

The second graph is the solution to:

x = y - 2  (blue line)

y-8 = -2x (red line)

where the solution is (2,4)

Step-by-step explanation:

The second equation is not clear. From the figures, the possible functions are: y-8 = -1/2x and y-8 = -2x.

To graphically solve a system you have to draw each line on the plane and look at the intersection point.

Answer:

Its the first graph you can graph it on desmos if you need :)

Step-by-step explanation:


[tex]( - 8x}^{2} - 5x - 6) + ( - x { }^{2} - x + 5)[/tex]
Solve​

Answers

Answer:zooooooooooooooooooooooooooooooooom

Step-by-step explanation:

A line passes through the point (0,6) and is parallel to the line with the equation y =
1/5X - 5. What's the equation of the line?
O A) y = 1/5x + 6
OB) y = -5x + 6
C) y = 1/5* - 6
OD) y=1/5X

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{5}[/tex] x - 5 ← is in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

Parallel lines have equal slopes, thus parallel line has slope of [tex]\frac{1}{5}[/tex]

The line crosses the y- axis at (0, 6) ⇒ c = 6

y = [tex]\frac{1}{5}[/tex] x + 6 ← equation of parallel line → A

the equation of the line that passes through the point (0,6) and is parallel to the line with the equation y = 1/5X - 5 is y = 1/5x +6.

What is a Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given A line passes through the point (0,6) and is parallel to the line with the equation y = 1/5X - 5

Since the two lines are parallel to each other

thus, their slope would be equal

Slope intercept form of the Second line:

y = 1/5x + c

Given that line passes through (0, 6)

From above equation

6 = 1/5* 0 +c

Hence, c = 6

therefore, the equation of the line y = 1/5x +6.

Learn more about Linear equation here:

https://brainly.com/question/11897796

#SPJ2

Determine if triangle DEF with coordinates D(2,1), E(3,5), and F (6,2) is an equilateral triangle. Use evidence to support your claim

Answers

Answer:

No, it is isosceles.

Step-by-step explanation:

(In assumption that the points have been plotted on a graph)

After the points have been plotted we need to find the distance between each set of points. DE, DF, and, EF.

Finding DE and DF

To find DE and DF, we need to do some counting. From point D to point E, we travel 2 units right, and 8 units up forming an imaginary triangle with a right angle. From D to F, we again travel 8 units right and 2 units up, forming the same triangle, just oriented slightly differently.

Using the Pythagorean Theorem ([tex]a^2 + b^2 =c^2[/tex]) we can plug in some values to find C and two of our side lengths.

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

[tex]2^2+8^2=c^2[/tex]

[tex]4 + 64 = c^2[/tex]

[tex]68=c^2[/tex]

[tex]\sqrt{68} =c[/tex]

[tex]8.25=c[/tex]

The lengths of DE and DF are both roughly 8.25

Finding EF

Finding EF is going to be the same process but just a little different.

If we start at E and travel to F, we move down 6 units and right 6 units, forming another right triangle. now we use the Pythagorean Theorem ([tex]a^2 + b^2 =c^2[/tex]) again, to find C and the length of EF.

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

[tex]6^2+6^2=c^2[/tex]

[tex]36+36=c^2[/tex]

[tex]72=c^2[/tex]

[tex]\sqrt{72} =c[/tex]

[tex]8.49=c[/tex]

The length of EF is roughly 8.49 units.

Since not all of the sides of the triangle are the length, triangle DEF is not equilateral. Instead triangle DEF is isosceles.

Answer:

No it is isosoles

Step-by-step explanation:

What is the difference between income elasticity for say automobile and income elasticity for farm product

Answers

Answer:

Step-by-step explanation:

plz mark me brainliest

income elasticity measures the responsiveness of income to changes in supply while price elasticity of demand measures the responsiveness of demand to a change in price. ... income elasticity refers to a horizontal shift of the demand curve while price elasticity of demand refers to a movement along the demand curve.

hope it helps

1/3 expressed as a decimal fraction is? (Round to the nearest thousandths)

Answers

Answer:

1/3=0.33333333333...

Nearest thousandths would be:

0.333

Answer

0.333

Step-by-step explanation:

you would divide 1 by 3

Which equation represents a line which is parallel to the line y = - 3x - 1?

A. 3y - x = 12
B. x + 3y = 6
C. 3y + y = -8
D. 3x - y = -2​

Answers

I would say D but not to sure

7. The probability of passing an
examination is 0.77. What is the
probability of failing the examination?
A. 0.22
B 0.23 C. 0.33
D. 0.72
E. 0.77

Answers

Answer:

Option B

Step-by-step explanation:

Total Probability = 1

Probability of passing = 0.77

Probability of failing = 1-0.77

=> 0.23

For what value of k does the line represented by the equation 1-kx = -3y contain the point (4,-3)?

Answers

Answer:

k = -2

Step-by-step explanation:

Given equation

1-kx = -3y

point on this line =  (4,-3)

If point lies on the given line, then if we plug in the value  (4,-3), then it will satisfy the equation

1-kx = -3y

using x = 4 and y = -3

1-k*4 = -3*-3

1 - 4k = 9

=> -4k = 9 -1 = 8

=> k = 8/-4 = -2

Thus, value of k is -2

Which of the binomials below is a factor of this trinomial?
5x2 - 5x-100
O A. x + 10
B. X-5
C. X+ 5
D. X-4

Answers

I think answer should be d. Please give me brainlest I hope this helps

Answer:

B

Step-by-step explanation:

Given: BC ⊥ CA , Prove: m∠A+m∠B=90°

Answers

Answer:

With points A, B and C a right triangle is formed.

Given that BC ⊥ CA, then m∠C = 90°.

The addition of the angles of a triangle is equal to 180°, therefore:

m∠A + m∠B + m∠C = 180°

Substituting with m∠C = 90°:

m∠A + m∠B + 90° = 180°

m∠A + m∠B = 180° - 90°

m∠A + m∠B = 90°

Find the value of x in each case.

Answers

Answer:

x = 22°

Step-by-step explanation:

Given corner URV = x and because of symmetry of Z-corners, that corner by definition is the same as corner DVR.

So corner SVR = V = x

R = 44°

S = 5x + 4°

V = x

In any triangle the three corners add up to 180°

Combine all this info and you get:

44 + 5x + 4 + x = 180

Solve for x (means write as x =...)

5x + x = 180 - 4 - 44

6x = 132

x = 132/6

x = 22°

1/2 expressed as a decimal fraction is?

Answers

Answer:

0.50 is a decimal fraction of 1/2.

Step-by-step explanation:

Please mark me as brainliest. I need to rank up.

Answer: 0.5

Explanation:

1/2 = 0.5

1/2 expressed as a decimal fraction is 0.5, or five tenths

If someone can please help me with this question I’m stuck

Answers

Answer:

B 65 sq. units

Step-by-step explanation:

The area of a triangle is equal to base times height divided by 2

the base is 13 and the height 10

13 times 10 is 130. 130 divided by two is equal to 65

:

Step-by-step explanation:

Solve for x: [tex]22y\3x=8[/tex]

Answers

Answer:

x = 4/(11y)

Step-by-step explanation:

22yx = 8

Solve for x so divide each side by 22y

22xy/22y = 8/22y

x = 4/(11y)

The answer is x=4/(y)

What is the value of c in the equation? 15.3 = StartFraction c Over 2.1 EndFraction 13.2 17.4 32.13 321.3

Answers

Answer:

32.13

Step-by-step explanation:

15.3= c/2.1

c= 15.3* 2.1

c= 32.13

Answer:

32.13 aka C got it right on my quiz

Mark the person on top as Brainliest there are right and answered first

Which of the following angles can be trisected using only a compass and straightedge?
A. 45⁰
B. 125⁰
C. 65⁰
D. 175⁰

Answers

Answer:

i believe it is c

Step-by-step explanation:

Other Questions
what are the formulas for right triangles The pie chart to the right shows how adults rate their financial shape. Suppose 4 people are chosen at random from a group of 1400. What is the probability that all four would rate their financial shape as excellent? (Make the assumption that the 1400 people are represented by the pie chart.) Name the angle pairs that are vertical angles. Use paper and pencil. Describe an instance where you see vertical angles every day. I. Work out the following Questions clearly and neatly1 In a trapezium ABCD, where AB=10cm, AD=13cm, BC=15cm and thealtitude is 12cm, then findthe length of CDb. the perimeter of the trapeziumthe area of the trapezium2. In a rectangular prism where length, width and height respectivelyare 7cm, 5cm and 10cm. Then calculate the followinga perimeter of the upper base.b. the sum of the perimeters of the bases.c. the area of the lower base.d. the sum of the areas of the bases.e. the area of one of the larger lateral faces.f. the area of one of the smaller lateral faces.g. the areas of the lateral faces(AL).h. the total surface areas of the prism(AT).i. the volume of the prism.If a regular polygon has ten sides, then findnumber of diagonals formed from one vertex.b. number of triangles formed.C. number of diagonals formed from each vertex.d. sum of all interior angles.e. what is the name of the polygon. Find the scale ratio for the map described below. 1 mm(map) equals 500 m (actual) The scale ratio is 1 to ? . why are parallel lines considered to be parallel ? explain The wages of sin ____is/are death. How does the pollution of the vaal river affect people socially? billy buys a fridge vat at the rate of 20% is applied to the price of the fridge billy pays a total price of 480 for the fridge work out the price of the fridge before the vat is added EDG2020 According to the Bible, the Ten Commandments were received by 1. Moses.2. Noah.3. Julius Caesar.4. Pericles. Help please! Thanks if you do :) An important factor that distinguishes humanistic therapy from other therapies is that humanistic therapy _____ A. Changes a person by changing what he or she does B. Is focused on conscious thought C. Recognizes the feedback loop of a person's thoughts and feelings that influences behavior D. Helps a person to become whole or integerated PLEAE ANS IT FAST PLESE Please answer this correctly Why was the observation of the Sabbath so important to Liddell that he would miss an Olympic race to observe it? TRUE OR FALSE? The equation of a line with slope m = -3 and including point (5, 5) is y = -3x + 20. what solid 3D object is produced by rotating the triangle about line m with a height of 8 and radius 4 Which refers to a measure of how acidic or basic a solution is? a]pH b]solubility c]reactiveness d]hardness nThe charter of the United Nations states that its primary purpose is to promotepower and dominance.democracy and capitalism.communism and client states.peace and justice. The sum of a number and its reciprocal is 41/20. Find the numbers. smaller value larger value What is the inequality of -3x-3