The attendance at a baseball game was 400 people. Adult seats sold for $15 and children seats sold for $10. Total ticket sales were $4560. How many of each type of ticket were sold?

Answers

Answer 1

Answer:

112 adult and 288 children

Step-by-step explanation:

x= adult seats

y= children seats

15x + 10y = 4560

x + y = 400 --> y=400-x

so plug 400-x for y in the other equation

15x + 10(400-x)= 4560

now solve this equation

15x + 10(400-x)= 4560 --> 15x + 4000-10x= 4560 --> 15x -10x = 560 --> 5x=560 --> x = 560/5 --> x= 112

now plug in 112 for this equation (x+y=400) --> 112+y=400 --> y= 288


Related Questions

The graphs below have the same shape. What is the equation of the blue
graph?

F(X) = x2

G(X) = ?

A. G(X) = x2 + 4
B. G(X) = x2-4
C. G(X) = (x+4)2
D. G(x) = (x-4)2

Answers

Answer:D

Step-by-step explanation:

The blue graph is a 4 unit horizontal shift of the red graph. The correct equation of g(x) = [tex](x-4)^{2}[/tex].

What is horizontal shift?

Given a function  f , a new function  g(x)=f(x−h) , where  h  is a constant, is a horizontal shift of the function  f . If  h  is positive, the graph will shift right. If  h  is negative, the graph will shift left.

Thus, since, f(x) has shifted 4 units to the right horizontally, the correct equation of g(x) = [tex](x-4)^{2}[/tex].

Learn more about horizontal shift here

https://brainly.com/question/4173593

#SPJ2

Noise levels at 5 airports were measured in decibels yielding the following data:
117,118,140,116,119
1. Construct the 90% confidence interval for the mean noise level at such locations. Assume the population is approximately normal.
2. Calculate the sample mean for the given sample data.
3. Find the critical value that should be used in constructing the confidence interval.

Answers

Answer:

1. 112.364<μ,131.636

2. mean = 122

3. critical value = +-2.1318

Step-by-step explanation:

117+118+140+116+119/5

= 610/5

= 122

the sample mean = 122

the sample standard deviation

s² = (117-122)²+(118-122)²+(140-122)²+(116-122²)+(119-122)²/5-1

= 25+16+324+36+9/4

= 410/4

= 102.5

s² = 102.5

s = √102.5

s= 10.12

SE = s/√n

= 10.12/√5

= 4.52

degree of freedom = 5-1 = 4

critical value of t = +-2.1318 using soft ware

confidence interval =

mean +- t(SE)

122-(2.1318)(4.52), 122+(2.1318)(4.52)

= [112.364, 131.636]

112.364<μ,131.636

therefore these are the answers in the ordre it was given in the question

1. 112.364<μ,131.636

2. mean = 122

3. critical value = +-2.1318

Find the distance between the points (7,8) and (7,3).

Answers

the distance is 5 points because it would take 5 points to get 7,8 from 7,3 !

Answer:

(7,5)

Step-by-step explanation

8 - 3 = 5 so (7,5)

Combine the like terms to create an equivalent expression,
Зу +6 – у
HELPPPPPP NOWWWW
100 points

Answers

Answer: 2y+6

Step-by-step explanation:

Answer:

x and y

Step-by-step explanation:

Help math plzshnsndnfjc

Answers

Answer:

11 inches

Step-by-step explanation:

So first I don’t typically go with fractions so I broke 2 3/4 down into a decimal which is:

2.75

Then the index card is

4 by 2.75

Then you multiply the sides

4 x 2.75

= 11 inches

Lucy and Ayu sold a total of 1,080 iPads. Lucy sold 7 times as many as Ayu. How many did each sell

Answers

Answer:

let L=lucy and A=ayu

l+a=1080

l=7a 7a+a=1080

8a=1080 8a/8=1080/8

ayu=135

l=7a l=7×135

l=945 so:-135+945=1080

Lucy sold 945 iPads and Ayu sold 135 iPads

What is an equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

Let Lucy and Ayu sold 'x' and 'y' iPads respectively.

Lucy and Ayu sold a total of 1,080 iPads.

So, we get an equation,

⇒ x + y = 1080           ...............(i)

Lucy sold 7 times as many as Ayu.

So we get the second equation as,

⇒ x = 7y                     ................(ii)

Substitute above value of x in equation (i)

⇒ x + y = 1080

⇒ 7y + y = 1080

⇒ 8y = 1080

⇒ y = 135

This means, Ayu sold 135 iPads

Substitute above value of y in equation (ii)

⇒ x = 7(135)    

⇒ x = 7 × 135

⇒ x = 945

This means, Lucy sold 945 iPads.

Therefore, Lucy sold 945 iPads and Ayu sold 135 iPads

Learn more about equation here:

https://brainly.com/question/649785

#SPJ2

       

Please answer the questions attached below

Answers

Answer:

Step-by-step explanation:

The parallelogram is two congruent triangles. Area of blue triangle is ½·2·2 = 2 units²

Area of parallelogram = 4 units²

:::::

area of blue parallelogram = 4×9 = 36 units²

:::::

area of green parallelogram = 3×5 = 15 units²

-(3x + 1) > -7+3x
Plz help with this

Answers

Answer:

x<1

Step-by-step explanation:

Treat it like a normal equation

Distribute: -3x-1>-7+3x

Isolate x: -6x>-7+1

Because we are dividing by a negative number, we need to flip the sign

x<1

Answer:

0, -1

Step-by-step explanation:

1. Plug in for 5:

-(15 + 1) > -7 + 15

-16 > 8 (FALSE)

2. Plug in for 1

-(3 + 1) > -7 + 3

-4 > -4 (FALSE, they are equal)

3. Plug in for 0

-(0 + 1) > -7 + 3(0)

-1 > -7 (TRUE)

4. Plug in for -1

-(-3 + 1) > -7 - 3

-(-2) > -10

2 > -10 (TRUE)

5. Plug in for 20

-(60 + 1) > -7 + 60

-66 > 53 (FALSE)

6. Plug in for -32

-(96 + 1) > -7 + 96

-97 > 89 (FALSE)

You can find the answer by just plugging in for x. It's very easy and the rest is just addition and multiplication, so please put some effort. Hope this helps! :)

In a recent academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies. The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows:

$1,589, $593, $1,223, $869, $423, $1,720, $708, $1,425, $922 and $308.

a. What is the mean and median change in the cost? (Explain how you obtain your answer.)
b. What is the five-number summary of the change in the cost? (Explain how you obtain your answer.)
c. What is the standard deviation of the change in the cost? (Explain how you obtain your answer.)
d. The middle 50% of the change in the cost is spread over what value? (Explain how you obtain your answer.)
e. What is the coefficient of variation of the change in cost? (Explain how you obtain your answer.)
f. What are the (absolute values of) the Z scores of the change in cost?

Answers

Answer:

1. mean = 980 median = $895.5

2. 308, 593, 895.5, 1425, 1720

3. 491.7978

4. 895.5

5. 50.28%

Step-by-step explanation:

1. mean $1,589+$593+$1,223+$869+$423+$1,720+$708+$1,425+$922+$308/10

= 9780/10

= $978

median

We first arrange the values in ascending order

308,423,593,708,869,922,1223,1425,1589,1720

number of observation is even so we pick the 2 values in the middle and divide by 2

= 869+922/2

= $1791/2

$895.5

2. five number summary of change

the botom half of th dta set = 308,423,593,708,869

minimum value = 308

n = 5

median = 593 = q1

from 1, q2 = median = $895.5

the upper half of data

922,1223,1425,1589,1720

n = 5

median = $1425

maximum value = $1720

the five number summary of change in cost is therefore

308, 593, 895.5, 1425, 1720

3. standard deviation

[tex]s =[\sqrt{x-barx} ]^{2} \frac{1}{n-1}[/tex]

bar x is the mean = 978

($1,589-978)²+ ($593-978)²+ ($1,223-978)²+ ($869-978)+ ($423-978)²+ $1,720-978)²+($708-978)²+ ($1,425-978)²+ ($922-978)²+ ($308-978)²

= 2176786

=[tex]\sqrt\frac{1}{10-1} {2176786} \\\sqrt{ \frac{2176786}{9}[/tex]

= [tex]\sqrt{241865.1}[/tex]

= 491.7978

4.  middle 50% is spread over the median, which is 895.5

5.  coefficient of variation

= s/bar x * 100

= 491.7978/978 * 100

= 49179.78/978

= 50.28%

6. z score = x - mean/s

x = 1589

= 1589-978/491.7978

= 1.2424

for x = 593

593-978/491.7978

= -0.7828

= 0.7828

for x = 1223

1223-978/491.7978

= 0.4982

for x = 869

869-978/491.7978

= -0.2216

= 0.2216

for x = 423

423-978/491.7978

= -1.1285

= 1.1285

x = 1720

1720-978/491.7978

z = 1.5088

for x = 708

708-978/491.7978

= -0.5490

= 0.5490

for x = 1425

1425-978/491.7978

= 0.9089

for x = 922

922-978/491.7978

= -0.1139

= 0.1139

for x = 308

308-978/491.7978

= -1.3624

= 1.3624

Calculate the volume of the given pyramid to the nearest tenth

Answers

Answer:(A.)

Step-by-step explanation:The reason why its a its because that 13x8=104x17=1,768/3=589.3. Therefore 589.3 can not be round to the nearest tenth.

00:00

The city council in Middlefield wants to know if residents are in favor of a traffic camera at the main intersection in town. Drag tiles to match each

term to the example it best describes. Each tile may be used only once.

Representative Sample

Population

NOT a Representative Sample

Term

Example

Drivers who reside in Middlefield

Residents of Middlefield

Residents randomly chosen from the town register

Answers

Answer:

Matching Tiles with Terms:

Term                                                Example                                    

NOT a Representative Sample      Drivers who reside in Middlefield

Population                                       Residents of Middlefield            

Representative Sample                  Residents randomly chosen from the

                                                        town register

Step-by-step explanation:

Population includes all the residents of Middlefield.

Representative Sample is a population subset that accurately reflects the characteristics of the population.  For example, the subset of residents who are randomly chosen from the town register is an unbiased and representative sample.

NOT a Representative Sample: For example, drivers who reside in Middlefield do not represent the characteristics of the population of Middlefield.

Quadrilateral GHIJ is dilated by a scale factor of 22 to form quadrilateral G'H'I'J'. What is the measure of side H'I'?

Answers

Answer:

[tex]H'I = 48[/tex]

Step-by-step explanation:

Given

See attachment for complete question.

From the attachment, we have:

[tex]GH=16.5[/tex]

[tex]HI =24[/tex]

[tex]IJ = 17[/tex]

[tex]JG =32.2[/tex]

[tex]k = 2[/tex] --- Scale factor

Required

Find H'I

The corresponding side of H'I is HI.

So:

H'I is calculated as:

[tex]H'I = k * HI[/tex]

This gives:

[tex]H'I = 2 * 24[/tex]

[tex]H'I = 48[/tex]

Answer I to j is 42

Step-by-step explanation:

Find the slope of the line

O 1/3
O 6/2
0 -3/1
03/1

Answers

Answer:

6/2

Step-by-step explanation:

The slope of the given line is 3/1, Option D is correct.

The given line is passing through the points (1, 3) and (-1, -3)

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Plug in the values of points  (1, 3) and (-1, -3) in the formula.

m= -3-3/-1-1

=-6/-2

Divide numerator and denominator by 2

We get 3

Slope of the line is 3.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ7

solution to 3x+4=3x+4

Answers

The results can be shown in multiple forms;

4 = 4, All real numbers, Always true, Interval notation: (-∞,∞).

Move all terms containing [tex]x[/tex] to the left side of the equation.

[tex]Subtract\\3x+4-3x=4\\[/tex]

Combine the opposite terms in [tex]3x+4-3x[/tex]

[tex]Subtract\\3x from 3x.\\\\0+4=4\\\\Add\\0+4=4 \\4=4*[/tex]

Since [tex]4=4[/tex] the equation will always be true.

A taxi charges 2.50 plus .50 fee for each mile. If the ride costs 7.50 how many miles did he travel

Answers

Answer: 10 miles

Step-by-step explanation:

Mile 1: 3.00

Mile 2: 3.50

Mile 3: 4.00

Mile 4: 4.50

Mile 5: 5.00

Mile 6: 5.50

Mile 7: 6.00

Mile 8: 6.50

Mile 9: 7.00

Mile 10: 7.50

On Saturday, Ahmed walks his dog 0.5 mile. On the same day, Latisha walks her dog 0.7 times as far as
Ahmed walks his dog.
How far does Latisha walk her dog on Saturday?
Latisha walks her dog mile(s) on Saturday. I have it due by tomorrow at 7 am please help, don’t put the links!!

Answers

0.35?? Latisha walks her dog 0.35 miles on Saturday.

Find the measure of the exterior angle.

that last answer is 38°

Answers

Answer:

A. 138°

Step-by-step explanation:

hope it helps u...

Help rn ahhhh please

Answers

Answer:

117π or 367.56634047

Step-by-step explanation:

Volume = π × r² × h          (r=radius and h=height)

Volume = π × 4² × 13

Volume = π × 9 × 13

Volume = π × 117

Volume = 117π

What ordered pairs are the solutions of the system of equations shown in the graph below?

Answers

Answer:

(-3,1) and (-8,6)

Step-by-step explanation:

Hey gabymcarrillo!

The solution is always the place where the two lines intersect.

Our first answer: go 3 left on the x- axis, and then go 1 up on the y- axis. This results in (-3,1)

Our second answer: go 8 left on the x- axis, then go 6 up on the y- axis. This results in (-8,6)

Hope a helped, have a nice day!

          -Aadi x

The diameter of a circle is 3 meters. What is the circumference?

Answers

Answer:

C≈9.42m

Using any of this formulas

C=2πr

C=2πrd=2r

Solution:

C=πd=π·3≈9.42478m


Find the average rate of change of the function between the given values of x.
y = -5x - x2 between 2 and x = 6.

Answers

Answer:

The average rate of change is of -13.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function in an interval [a,b] is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

Between 2 and 6. So

[tex]f(6) = -5(6) - 6^2 = -30 - 36 = -66[/tex]

[tex]f(2) = -5(2) - 2^2 = -10 - 4 = -14[/tex]

[tex]A = \frac{-66 - (-14)}{6 - 2} = \frac{-66 + 14}{4} = \frac{-52}{4} = -13[/tex]

The average rate of change is of -13.

HELP PLEASE BRAINLYIST
Examine the diagram. It is not drawn to scale.
Wh at is the m angle 3?
Х
m angle 3=

Answers

Answer:

isn't it just 50°

Step-by-step explanation:

180=a straight line.

you are given 75° and 55°

75+55=130

180-130

Answer:

105

Step-by-step explanation:

Chupapi

Some loser deleted my answers

That's why it says 1 answer and 1.5k people helped

It costs $6 per hour for a park to water the grass. How much will it cost to water the grass for
7/3
hours?

Answers

$43.8, do 7.3 (if that’s how long it was) times $6, giving you 43.8

Answer:

I think the answer is $14 hope this helps!

Step-by-step explanation:

a new optical illusion is posred on the internet. Write a recursive formula to describe the pattern. The, write the explicit formula that can be used to find the number of times the optical illusionis shared after eight hours.

Answers

Answer:

hope this helps

The solution is 3,27,680

The geometric progression is given by aₙ = a ( r )ⁿ⁻¹ , where r = 4 is the common ratio and after 8 hours a₈ = 3,27,680

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the first term of the geometric sequence be a₁ = 20

Let the second term a₂ = 80

So , the common ratio r = second term / first term

On simplifying the equation , we get

Common ratio r = 80/20

Common ratio r = 4

Now , the explicit formula for the GP is

aₙ = a ( r )ⁿ⁻¹ , where n is the number of hours

aₙ = 20 ( 4 )ⁿ⁻¹

So , after 8 hours ,

Substitute the value of n = 8 in the equation , we get

a₈ = 20 ( 4 )ⁿ⁻¹

a₈ = 20 ( 4 )⁷

a₈ = 3,27,680

Therefore , the value of a₈ = 3,27,680

Hence , the equation is aₙ = 20 ( 4 )ⁿ⁻¹

To learn more about geometric progression click :

https://brainly.com/question/1522572

#SPJ2

f(x)=x² g(x) = (x + 3)2 +5 We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f up/down by units and to by units. the right/left​

Answers

Answer:

Me puedes informar mas?

2. Which are not the measures of the sides of a right triangle?
A. O 1, 3,3
B.O 2,2,3,4
cks 1, 3,2
D.O

Answers

Answer:

B. because there are too many side lengths to be a triangle

B. I know im right okay!

simplify by distributive property 8-3(7m-3p)​

Answers

56m-21m+9p-24p

35m-15p

Draw arches over the numbers and just multiply the values. The arches help keep track of it.

Jerel runs 5 days each week. On each of 4 days, he runs 2.3 km. If Jerel runs a total of 14 km, how many kilometers does he run on the fifth day? a3.8km b4.8km c5.8km d4.7km

Answers

he runs 4.8km
because 2.3*4= 9.2 then take the 14 he ran minus 9.2 and that’s your answer

Answer:19

Step-by-step explanation:

The length of stay at a specific emergency department in Phoenix, Arizona, in 2009 had a mean of 4.6 hours with a standard deviation of 2.9. Assume that the length of stay is normally distributed.
a. What is the probability of a length of stay greater than 10 hours?
b. What length of stay is exceeded by 25% of the visits?
c. From the normally distributed model, what is the probability of a length of stay less than 0 hours? Comment on the normally distributed assumption in this example.

Answers

Answer:

a) the probability of a length of stay greater than 10 hours is 0.03144

b) the length of stay is exceeded by 25% of the visits is 6.5 hrs

c)

P( X < 0 ) = 0.0559

The probability of length of stay less than 0 hours is 0.0559, length of stay cannot be less than 0. When the normal model is used, we assume that the LOF is approximately normally distributed.

The LOF is better modeled by the normal distribution near the mean and worse in the tails.

The probabilities in the left tail for the vales of X < 0  can be neglected.

Step-by-step explanation:

Given that;

mean μ = 4.6

standard deviation σ = 2.9

let x represent length of stay;

a. What is the probability of a length of stay greater than 10 hours?

p( x > 10 ) = p( x-μ/σ > 10-4.6 / 2.9 )

= p( Z > 1.86)

= P( Z < - 1.86 )

FROM THE Z SCORE TABLE;( Z < - 1.86 ) = 0.03144

p( x > 10 )  = 0.03144

Therefore, the probability of a length of stay greater than 10 hours is 0.03144

b) What length of stay is exceeded by 25% of the visits?

p( X > x ) = 0.25

so

p( X < x ) = 0.75

p( x-μ/σ < x-4.6 / 2.9 ) = 75

p( Z < x-4.6 / 2.9 ) = 0.75 ----- 1

also, from the standard normal table; P( Z < 0.67 ) = 0.75 ------ 11

from equation 1 and 11

x-4.6 / 2.9 = 0.67

x-4.6 = 2.9 × 0.67

x - 4.6 = 1.943

x = 4.6 + 1.943

x = 6.543 ≈ 6.5

Therefore, the length of stay is exceeded by 25% of the visits is 6.5 hrs

c)  From the normally distributed model, what is the probability of a length of stay less than 0 hours?

P( X < 0 ) = p( x-μ/σ < 0-4.6 / 2.9 )

= P( Z - 1.59)

from table;( Z - 1.59) = 0.0559

P( X < 0 ) = 0.0559

The probability of length of stay less than 0 hours is 0.0559, length of stay cannot be less than 0. When the normal model is used, we assume that the LOF is approximately normally distributed.

The LOF is better modeled by the normal distribution near the mean and worse in the tails.

The probabilities in the left tail for the vales of X < 0  can be neglected.  

in a book reading contest students read as many books as they can in one week. the number of books read by each student are given, use the data to make a histogram

2, 10, 5, 4, 1, 3, 2, 6, 4, 8, 1, 3, 5

Answers

Answer:

C

Step-by-step explanation:

Process of elimination. A) had the wrong numbers on the bottom. B) has the right information but it's too narrow. D) has the wrong information. I just took the quiz and got this questions right. Hope this helps!

Answer:

C is the approximant answer

Other Questions
X=Y= The polygons to the right are similar. Find the value of each variable 3x^2 -12x +11=0How to complete the square Durante mis vacaciones estuve visitando dos ciudades grandes en Europa. La primera fue Pars, un sitio lleno de contrastes, con calles viejas pero adorables, romnticas y llenas de historia, y con construcciones modernas que muestran una ciudad con brillo y en la vanguardia. La segunda ciudad que visit fue Londres, quien posee un cierto encanto en su cielo melanclico, la vista del ro Tmesis y las antiguas edificaciones que se encuentran por doquier.Lector inmersivo (2 puntos) cinco sustantivos que se encuentran en el texto son cielo, ciudades, Paris, Londres, ro Tmesis estuve, fue, visit, posee, encuentran. antiguas, ciudades, brillo, visit, Londres. modernas, antiguas, adorables, viejas, brillo CAN SOMEONE HELP!!Identify the correct poetic form for the example. Each answer can only be used once.A tired caterpillar went to sleep one dayIn a snug little cradle of silken gray,And he said, as he softly curled up in his nest,"Oh, crawling was pleasant, but rest is best."-author unknownO rhymed coupletO rhymed quatrainOpen picturefree verse Which three countries did Salva travel to in this chapter?EthiopiaKenyaAfricaSudan(I'm pretty sure its ethiopia because of the gilo river)also its talking about chp 12 :) if a bird flew 30 meters in 10 seconds how far would it fly in 1 second 3. Name one body of water that borders the USSR? In most of their conquests, the Mongols allowed their enemies to ____.A. Take a running startB. Warn neighboring villagesC. Surrender before battleD. Negotiate after battle How are convection currents in the mantle (geosphere) and in the oceans (hydrosphere) similar? Or how are they different. Explain one of the two or how their similar and different. Thanks :)I give brainliest to whichever makes the most sense Need Help. I will give brainliest. Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1).At what point does line A intersect line B? Question 1 ) The population of Jackson Heights is 125% of the population of Elmhurst. If Elmhurst has 80,000 people, how many people live in Jackson Heights?Question 2 ) The population of Jackson Heights is 125% of the population of Elmhurst. If Jackson Heights has 80,000 people, how many people live in Elmhurst? Did anyone do this worksheet (science) What type of literature is written in lines and stanzas?PoetryDrama prose Anna bought a potted plant online. It cost $3.4 5plus 20% shipping and handling.What was the total cost When machining rotors, what is the reason for setting the indexing collars to zero?A. To know how much metal was taken off of each side.B. To make sure that no cut exceeds .010 inchC. To determine the proper cut speed of the Brake Lathe.D. To measure the depth of the grooves on the rotor surface. hellllllp how do you do this? Find the midpoint M of the line segment joining the points S = (1, -2) and T = (-7,-6). Give me 3 reasons why wild animals can be trained to become tame household pets How to see the other 3 screenshots click the 3 mini squares