At the city museum, child admission is $5.40 and adult admission is $9.40. On Tuesday, three times as many adult tickets as child tickets were sold, for a total
sales of $974.40. How many child tickets were sold that day?

Answers

Answer 1

The number of tickets sold will be equal to 29.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let x represent the number of child tickets that were sold

Let y represent the number of adult tickets that were sold

5.30x +9.40y= 1206

The number of adult tickets sold was three times greater than the number of child tickets,

y= 3x

Substitute 3x for y in the equation,

5.40x + 9.40y= 974.40

5.40x + 9.40(3x)= 974.40

5.40x + 28.2x= 974.40

33.6x= 974.40

Divide both sides by the coefficient of x which is 33.5,

x= 974.40/33.6

x = 29

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Related Questions

AB is the angle bisector of ∠CAD. Solve for x.
(I really need help on this one cuz i.dk what I'm doin')

Answers

Answer: x=7

Step-by-step explanation:

Since AB is a bisector, it cuts the angle in half, and since we know that the angle is a right angle, we know it’s 90 degrees, so knowing that you use the equation 7x-4= 45 (since 45 is half of 90), add 4 to both sides so you have 7x=49, the divide 49 by 7 and you get 7, so x= 7

Find the value of x 6x+2

Help Due in 30 mins!

Answers

Answer:

Step-by-step explanation:

(6x + 2)° + 42° + 58° = 180°

6x + 2 = 180 - 100

6x = 78

x = 13

Answer:

13

Step-by-step explanation:

There are 180 degrees in a triangle

58 + 42 + (6x +2 ) = 180

98 + (6x + 2) = 180

Subtract 98 from 180.

6x +2 = 82

Subtract 2 from 82

6x = 80

x = 13.333 or 40/3

The population of town is 32600. about 27% are over 60 years old. About 19% are 16 or under. How many are between 16 and 60?

Answers

Answer:

Number of population between  16 and 60 =17,604

Step-by-step explanation:

population of town = 32600

Percentage of people over 60 years old=27%

Percentage of people 16 or under =19%

Percentage of people between  16 and 60= 100%-(27% +19%)

100-(46) =54%

Number of population between  16 and 60 =Percentage of people between  16 and 60 x population of town

=54% x 32600

=17,604

Solve the system by substitution 5x+2y=17 -4x+7=y

HELP PLEASEEE

Answers

Answer:

y=−9/2 x+12

HEART IF IT HELPED!!

PLS HELP ME! I’m tired.

Answers

Answer:

30.5*10=350$

Step-by-step explanation:

you have to multiply the number without the decimal point then add it later but if its tenn u must move the place value of the decimal point 1 to the right.

hope it helps

I need help graphing this

Answers

Answer: y=4/3x-2

Y-Intercept: -2

Slope: 4/3

Step-by-step explanation:

On the Y-Axis put -2 because thats the Y-intercept.

And for slope graph a slope of 4/3

Giving brainliest!! TO FIRST PERSON 9x8?

Answers

Answer:

9x8=72

9x5=45 9x3=27 45+27=72

Plz help I’m bad with angles

Answers

Answer:

Complementary angles,7 & 83

Supplementary angles, 97 & 83

Vertical angles, 83 & 83

Step-by-step explanation:

Complementary angles add up to 90°

Supplementary angles add up to 180°

Vertical angles are equal

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

9514 1404 393

Answer:

  C.  (10, 5), (5, 0), (0, 5)

Step-by-step explanation:

In order for the square to have an area of 50 square units, its side lengths must be √50 = 5√2 units long. The only way to get such a length with integer coordinates is for the sides of the square to be themselves the diagonals of a square 5 units on a side.

That is, two of the other vertices of the square must be among ...

  (5±5, 10±5) ⇒ (10, 15), (0, 15), (10, 5), (0, 5)

Only choice C contains two of the vertices on this list.

What is the surface area of the cylinder with height 6 in and radius 7 in? Round your answer to the nearest thousandth.

Answers

Answer:

571.77

Step-by-step explanation: I might be wrong so don't really trust me

Can someone plzzz helppp meeee!!!

Answers

Answer:

130

Step-by-step explanation:

Hello There!

An included angle is equal to half the measure of its included arc

So more specifically for this circle

∠mABC = [tex]\frac{1}{2}[/tex] arc(mAB)

So in order to find the value of x we are going to want an equation

Because angle ABC is equal to 1/2 of arc AB we are going to want to multiply angle ABC's expression by two

So 2(3x+32) = 10x+20

now we solve for x

step 1 distribute the 2

2 * 3x = 6x

2 * 32 = 64

now we have

6x + 64 = 10x + 20

step 2 subtract 20 from each side

64 - 20 = 44

20 - 20 cancels out

now we have 6x + 44 = 10x

step 3 subtract 6 x from each side

10x - 6x = 4x

6x - 6x cancels out

now we have 44 = 4x

step 4 divide each side by 4x

44/4=11

4x/4=x

we're left with x = 11

finally we want to plug in 11 to x for (10x+20)

10(11)+20

10*11=110

110+20=130

so arc ab = 130

Answer:

AB = 130

Step-by-step explanation:

So, according to a certain theorem to do with arcs and their angles, If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half the measure of its intercepted arc.

In this case, the ARC is AB, and the angle is CBA.

CBA = 3x+32

AB = 10x+20

And,

[tex]CBA = \frac{1}{2} AB[/tex]

Now,

[tex]3x+32=\frac{1}{2} (10x+20)[/tex]

[tex]3x+32=5x+10\\32=2x+10\\22=2x\\11=x[/tex]

Now we can substitute x into the equation that equals AB

[tex]10(11)+20 \\=110+20\\=130[/tex]

So, the answer is 130, sorry I took a while, the explanation takes a long time to do lol.

Have a nice day fam. Spread The Love.

Jose has scored 866 points on his math tests so far this semester. To get an A for the semester, he must
score at least 946 points.
Part 1 out of 2
Enter an inequality to find the minimum number of points he must score on the remaining tests in order to
get an A. Let n represent the number of points Jose needs to score on the remaining fests.

Answers

Answer:

ur question is more clarification

Step-by-step explanation:

Answer:

I don't know this

Step-by-step explanation:

Not enough info to solve it...can you post part 2 as well?

What is the critical value z* for constructing an 80% confidence interval?

Answers

Answer:khan is 1.282 or c

Step-by-step explanation:

A three-dimensional figure has a volume of 314 cubic centimeters rounded to the nearest cubic centimeter. Select whether each shape below, with dimensions given in centimeters (cm), matches this three-dimensional figure.


A sphere with a radius of 4.217 cm (true or false)

A sphere with a diameter of 4.217 cm (true or false)

A cone with a radius of 10 cm and a height of 3 cm(true or false)

A cylinder with a radius of 1 cm and a height of 10 cm(true or false)

A cylinder with a radius of 4.47 cm and a height of 5 cm(true or false)

Answers

Answer:

The first one and the third one are true and the rest are false

Step-by-step explanation:

Answer:

first and therd are right

Step-by-step explanation:

Answer this, please.

Answers

13 runners, if you add up all the runners in each column you get 13 :)
The mileage was recorded for

13 runners


Just add up the number that all the bars hit and you get 13

Happy answering!

find the value of the reciprocal of 0.25

give your answer as a decimal

Answers

Answer:

the reciprocal of 0.25 is 4.

The difference of 1 and twice a number is at most one third the
number(Which of the following models this description?
A. 21 – 2x<_ 1/3x
B. 21 – 2x = 1/3x
C. 21 – 2x >_ 1/3x
D. 21 – 2x < 1/3x

Answers

Answer:

Step-by-step explanation:?

Solve for x.
A) 4
C) 1
B) 10
D) 12

Answers

Answer:

A) 4

Step-by-step explanation:

3*4 = 12

1+12=13

Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap. The second lap took her 1 12more minutes than the first lap. The third lap took her 1 10less minutes than the second lap. How much time did it take her to finish the third lap?

Answers

Answer:

First lap time = 5/6 minute

Second lap time = 11/12 minute

Third lap time = 49/60 minute

Step-by-step explanation:

:))

Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap. it takes her to finish the third lap time in 49/60 minutes.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap.

The second lap took her 1 12more minute than the first lap.

The third lap took her 1 10less minute than the second lap.

First lap time = 5/6 minute

Second lap time = 11/12 minute

Third lap time = 49/60 minute

Learn more about the unitary method;

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Solve the equation x - 20.7 = 9.5 for X

Show your work.

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

x=30.2

Step-by-step explanation:

30.2-20.7=9.5 So therefore x=30.2

I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

It would be an angle-angle-side congruency

Leia is trying to find the best price for 6 pairs of colored shoelaces. If 3 pairs of colored shoelaces cost $20 at Sprint Sneakers, and 2 pairs of colored shoelaces cost $12 at Shoe Sanctuary, how many dollars will Leia save if she buys 6 pairs of colored shoelaces from Shoe Sanctuary instead of Sprint Sneakers?

Answers

Answer:16

Step-by-step explanation:

Sprint is 2shoe sanc. 2 for 12

2

4

6                       36 - 20 is 16

12

24

36


HELP!!! What’s the domain and range? PLS!!!!

Answers

Answer:

A) Vertex: (3,1) Maximum, Domain: all real numbers, Range: y is less than or equal to 1.

B) Vertex: (1,-5) Minimum, Domain: all real numbers, Range: y is greater than or equal to -5

C) Vertex: (0,1) Minimum, Domain: all real numbers, Range: y is greater than or equal to 1

D) Vertex: (4,0) Maximum, Domain: all real numbers, Range: y is less than or equal to 0.

E) Vertex: (4,1) Minimum, Domain: all real numbers, Range: y is greater than or equal to 1

F) Vertex: (-1,4) Maximum, Domain: all real numbers, Range: y is less than or equal to 4.

G) Vertex: (2,-4) Minimum, Domain: all real numbers, Range: y is greater than or equal to -4

H) Vertex: (-4,-3) Minimum, Domain: all real numbers, Range: y is greater than or equal to -3

I) Vertex: (2,3) Maximum, Domain: all real numbers, Range: y is less than or equal to 3.

Step-by-step explanation:

Sorry it took forever to type

-9u-6+7u=16 what is the value of u

Answers

Step-by-step explanation:

-9u-6+7u=16 This question is asking to isolate u

-9u+7u=16+6 bring -6 to the other side and put the "u" variables together make sure to put +6

-2u=22 add and subtract the sides

u=11 divide -2 by 22

your answer is U=11

In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Luke sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.

204 visitors purchased no costume.
209 visitors purchased exactly one costume.
27 visitors purchased more than one costume.

Based on these results, express the probability that the next person will purchase one
or more costumes as a fraction in simplest form.

Answers

Answer:

59/110

Step-by-step explanation:

Based on these results, express the probability that the next person will purchase one or more costumes as a fraction in simplest form.

204 no costume, 209 exactly one costume, 27 more than one costume.

204+\color{steelblue}{209}+\color{steelblue}{27}=

204+209+27=

\,\,\color{indianred}{440}

440

There were a toal of 440 customers. 209+27=236 visitors purchased one or more costumes costumes.

Probability the next visitor will purchase one or more costumes:

\frac{\color{steelblue}{236}}{\color{indianred}{440}}=

440

236

=

\,\,\frac{59}{110}

110

59

A town has a population of 15,000 and grows at 7% every year. What will be the
population after 10 years, to the nearest whole number?

Answers

Answer:

29,507

Step-by-step explanation:

Simple way just do 15,000 x 1.07. Take that number and multiply by 1.07. Do that 10 time.

The two lines graphed on the coordinates grid each represent an equation

Which prefer pair represents a solution to both equations.?

A- (-4,0)
B- (-2,1)
C- (0,-4)
D- (1,-2)

Answers

B- (-2,1) I took the test

What is the value of x that makes angle G a right angle in circle I?

Answers

Step-by-step explanation:

The answer is 12 bro

Thank me pls

3m^n+12mn^2 with an explanation please !

Answers

Am I supposed to factor it or Find the GCF????

Solve this equation:
945 = 210T

Answers

Answer:

T=9/2 alternate form T=4 1/2, T=4.5

Step-by-step explanation:

you have to divide both side

T = 4.5
explanation: u divide
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