Two families went to the movies. The Davis family paid $39 for 2 adult
tickets and 3 student tickets. At the same theater, the Tyler family paid $23
for 1 adult ticket and 2 student tickets. What is the price of a student
ticket?

Answers

Answer 1

Answer:

$7

Step-by-step explanation:

Let a be the price of the adult ticket and s be the price of the student ticket

That means that:

2a+3s=39

and

a+2s=23

Using elimination

-2(a+2s=23)

-2a-4s=-46

-2a-4s=-46

2a+3s=39

Eliminate a:

-s = -7 ; s = 7

I probably made this so much more complicated than it should be but...


Related Questions

Barney was driving at 25 mph. A car pulls out 30 ft ahead of him. The coefficient of friction, f, is 0.7. Which statement is true? A Barney hits the car. B Barney stops less than a foot from the car. C Barney misses the car by 3 ft. D Barney's skid marks measure 23 ft.

Answers

Answer:

B Barney stops less than a foot from the car.

Step-by-step explanation:

From the information given:

The initial speed of barney [tex]v_o[/tex] = 25 mph

Coefficient of friction [tex]\mu[/tex] = 0.7

Recall that

1 mph = 0.447 m/s

Then

[tex]v_o[/tex] = 25 × 0.447 m/s

[tex]v_o[/tex] = 11.175 m/s

The force of friction acting on the barney is expressed as:

[tex]F = \mu N \\ \\ F = \mu mg[/tex]

[tex]ma = \mu mg[/tex]

[tex]a = \mu g[/tex]

a = 0.7 × 9.8 m/s

a = 6.86 m/s²

Since the force acts in an opposite direction to the motion of Barney, Thus the acceleration must also be negative.

a = -6.86 m/s²

Now;

Suppose Barney stops after traveling a  distance (s), so that the final speed is zero.

Then;

Using the kinematic equation;

[tex]v^2 - v_o^2 = 2as[/tex]

[tex]0 - (11.17)^2 = 2 \times (-6.86) s[/tex]

[tex]-124.76 = -13.72 s[/tex]

[tex]s = \dfrac{124.76}{13.72}[/tex]

s = 9.09 m

Recall that;

1 m = 3.28 ft

So;

s = 9.09 m = 9.09 × 3.28 ft

s = 29.81 ft

The distance traveled by the Barney is 29.81 ft which implies that Barney stops less than a foot from the car.

whats the area of the triangle 17in and 12 in?

Answers

Answer:

Area of the triangle =(height x base ) /2

A=(17x12)/2

A=102

the area of the triangle is 102

Find the value of each variable in the parallelogram?

Answers

Answer:

Step-by-step explanation:

In parallelogram opposite angles are equal

6x = 66      {Divide both sides by 6}

x = 66/6

x = 11

20y - 46 = 13y + 10     {Add 46 to both sides}

20y - 46 + 46 = 13y + 10 + 46

             20y   = 13y + 56     {Subtract 13y from both sides}

   20y - 13y    = 13y-13y + 56

              7y    =  56    {Divide both sides by 7}

                y =  56/7

y = 8

Please help! Worth 100 points!
As you are completing your writing today, you are able to use any or all of the following topics in your writing.

Required 400 words.

Topics learned in Unit 11:

y = abx
Graphing Exponential Functions
End Behavior
Asymptote
Exponential Growth
Exponential Decay
y = a(1+r)t
y = a(1-r)t
Exponential Regression

Make sure its 400 words!

Answers

Answer:

okay I'll try my best but I'm I just suppose to explain the equation?

Step-by-step explanation:

x

f(x) = 2x

−3

2−3 = 1/8

−2

2−2 = 1/4

−1

2−1 = 1/2

0

20 = 1

1

21 = 2

2

22 = 4

3

23 = 8

The price of a man's shirt went from $15 to $20. What was the percent of increase of the price of the shirt? A. 25% A. , 25%, B. 3313% B. , 33 and 1 over 3 percent, C. 20% C. , 20%, D. None of these D. , none of these,

Answers

Answer: 33 1/3%

Step-by-step explanation:

Percentage increase of the shirt will be calculated as:

= Price Increase / Old price × 100%

Price Increase = $20 - $15 = $5

Old price = $15

Percent increase = Price Increase / Old price × 100%

= 5/15 × 100

= 1/3 × 100

= 33 1/3%

Answer:

it would be -25% because 15 is less than 20

a triangle has sides with lengths 10 inches, 14 inches, and 17 inches. is it a right triangle

Answers

Yes it is a right angle triangle

5756645+456775(5667+567668)56+567[68655667-67767677]= ?

Answers

the answer is,   14666074545975

through:(-4, -4), parallel to y= 7/4 x-3 ?

Answers

Answer:

Step-by-step explanation:

y-(-4)= 7/4(x-(-4)

Y+4= 7/4x +4

Y = 7/4x

Don't to mansion!! (omg they actually came)(Not)

Answers

Answer:

Don't go to the mansion

Step-by-step explanation:

Hope this helps

A bus travels at a constant speed of 114 miles in 3 hours. How many miles does the bus travel in 1 hour?

A bus travels at a constant speed of 114 miles in 3 hours. How far does the bus travel in 4.5 hours?

Answers

38 miles for the first answer, and 171 for the second question.

A photographer is 6 feet tall and casts a shadow that is 2 feet long. He is photographing a palm tree with a shadow that is 7 feet long. What is the height of the tree?

Answers

Answer:

Step-by-step explanation:

84

definition of militarism alliances imperialism nationalism ​

Answers

Militarism- the belief that a country should maintain a strong military capability and be prepared to use it aggressively to defend or promote national interests.

Alliances- An alliance can be defined as a formal, economic, military or political agreement between two or more nations.

Imperialism- Imperialism, state policy, practice, or advocacy of extending power and dominion, especially by direct territorial acquisition or by gaining political and economic control of other areas.

Nationalism- Nationalism is an idea and movement that promotes the interests of a particular nation (as in a group of people), especially with the aim of gaining and maintaining the nation's sovereignty (self-governance) over its homeland.

Answer:

The war started mainly because of four aspects: Militarism, Alliances, Imperialism and Nationalism. This is because big armies become potential threats to other countries, other countries started forcing alliances in order to secure land. ... The overall cause of World War was the assassination of Archduke Franz Ferdinand.

Step-by-step explanation:

please help quick! Find the area of the shape shown below.

\text{units}^2units
2

Answers

Answer:

12.5 units^2

Step-by-step explanation:

The shape is a trapezoid

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 2.5+ 7.5) 2.5

A = 1/2 ( 10)2.5

A = 12.5 units^2

Answer:

12.5 units^2

Step-by-step explanation: Big Brain

↔AB and ↔BC form a right angle at point B. If A = (-3, -1) and B = (4, 4), what is the equation of ↔BC?

A. x + 3y = 16
B. 2x + y = 12
C. -7x − 5y = -48
D. 7x − 5y = 48

Answers

Answer:

your answer is C

Step-by-step explanation:

AB <--> and BC <--> form a right angle at point B. If A = (-3,-1 ) and B = (4,4 ), what is the equation of BC <-->?

Answer:

PLATO / EDMENTUM :)

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4x + 3y = –21

Answers

You -4x then divide 3y
y= -4/3x -7
Slope intercept form is y=mx+b so you want to subtract 4x from both sides which will now leave you with 3y=-4x-21 so now all we have to do is divide by 3 and we will get -1 1/3x-7 which is your answer

Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24.

Answers

Answer:

=2

Step-by-step explanation:

i did everything seprately

Answer:

I think this is the same one

Step-by-step explanation:

Hope this helps :)

Solve the equation. 25-3x=40 what does x equal?

Answers

Answer:

x=-5

Step-by-step explanation:

25 - 3x = 40

-3x + 25 =40

-3x +25--25=40-25

-3x=15

-3x÷-3=25÷-3

x=-5

hope this helps!!! ask me if you don’t understand

¿Cuáles son las longitudes de un terreno rectangular, si se sabe que el ancho es dos veces más pequeño que el largo, y que su área es de 16, 200 m2? cuanto mide el ancho cuanto mide el largo

Answers

Answer:

El largo tendrá un valor de 180 m y al ancho tendrá un valor de 90 m

Step-by-step explanation:

Un rectángulo es un cuadrilátero con dos lados de igual longitud y dos lados de igual ancho que contiene cuatro ángulos rectos. Para encontrar el área de un rectángulo, debes multiplicar su longitud por su ancho. Es decir, el área del rectángulo es igual al largo por el ancho.

En este caso, sabes que el ancho es dos veces más pequeño que el largo. Entonces, siendo el largo x, el ancho tendrá un valor de x÷2.

Siendo el área del terreno rectangular 16,200 m², entonces

x*(x÷2)= 16,200 m²

Resolviendo:

x² ÷2= 16,200 m²

x²= 16,200*2 m²

x²= 32,400 m²

x= √32.400 m²

x= 180 m

Entonces, el largo tendrá un valor de 180 m y al ancho tendrá un valor de 90 m (180 m÷ 2)

Помогите пожалуйста срочно надо пожалкйста

Answers

Answer:

Me??? :(

Step-by-step explanation:

What is the measure of the vertex angle

Answers

Answer:

Vertex angle = 124°

Step-by-step explanation:

m<BAC = m<BCA (base angles of isosceles ∆ are congruent)

7x + 1 = 5x + 9

Collect like terms

7x - 5x = -1 + 9

2x = 8

divide both sides by 2

x = 4

Vertex angle = 180 - ((7x + 1) + (5x + 9)) (sum of triangle)

Plug in the value of x

Vertex angle = 180 - ((7*4 + 1) + (5*4 + 9))

Vertex angle = 180 - (29 + 29)

Vertex angle = 124°

A triangle has interior angles equal to 51 and 42 degrees.Find the interior angle x

Answers

Answer:

Angle x would be 87 degrees.

Step-by-step explanation:

Angles inside of a triangle add up to 180 degrees. So 51+42=93 and if you subtract 93 from 180, you get 87.

Briahna and Keondre work at a store. Keondre earns $25.30 more per week than Brianna does. Brianna earns $395 per week. Write an equation to find k, how much money Keondre earns. Then, Solve. -​

Answers

Answer:

415.30

Step-by-step explanation:

Help please urgent ppleeeaseeeeeeeeeee

Answers

Answer:

114

Step-by-step explanation:

You will need to multiply L x W and then add them all

Answer:

174

Step-by-step explanation:

R=19, M
SEE THE PICTURE TO UNDERSTAND SORRY

Answers

Answer:

what is the question??????

Right where is that question

Which is an equation?
A)17 + x
B)45➗ x
C) 20x = 200
D) 90- x

Answers

Answer:

20X=200 because an equation contains LHS and RHS

Write an expression, using an exponent, that is equivalent to 6x6x6x6x6

Answers

Answer:

6^5 or 6 to the power of 5

Step-by-step explanation:

This is because 6*6 is 36 which is equal to 6^2  and 6*6*6 is 6^3   6*6*6*6 is 6^4 and finally we have 6*6*6*6*6 which is 6^5.

Keisha‘s restaurant bill is $27 she wants to leave 15% tip how much money does Keisha need in all?

Answers

Answer:

$31.05

Step-by-step explanation:

wedding ring costs £7000. Work out the price after a 2.5% price increase

Answers

Answer:

7175

Step-by-step explanation:

100%->7000

102.5%->7175

Does anyone know the area?

Answers

Answer:

69

Step-by-step explanation:

4x3=12

9x5=45

2x6=12

45+12+12=69

Simplify the expression distribute if necessary

4a + 7(2c - a)

Answers

Answer:

-3a + 14c

Step-by-step explanation:

4a+7(2c-a)

4a + 14c - 7a

-3a + 14c

Answer:

-3a + 14c

Step-by-step explanation:

4a + 7(2c - a)

4a + 14c - 7a            <- Distribute

-3a + 14c                  <- Add like terms

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