A school carnival sold tickets to ride on a Ferris wheel. The charge was $3.00 for adults and $2.00 for students. If 54 tickets were sold for a total of $141.00, how many adult tickets were sold?

Answers

Answer 1

Answer:

33 adult tickets and 21 student tickets

Step-by-step explanation:

We will create a system of equations.

Let x = the number of adult tickets sold and let y = the number of student tickets sold

x + y = 54

3x + 2y = 141

We can cancel out the y by multiplying the first equation by -2.

-2x - 2y = -108

3x + 2y = 141

Adding these equations together we get:

x = 33

Plugging this into the equation, we have:

38 + y = 54

y = 21

There were 33 adult tickets and 21 student tickets


Related Questions


A hula hoop has a diameter of 44 inches. What is the circumference of the hula hoop? Use 3.14 for tt

Answers

Answer:

i think 126 sorry if im wrong

Step-by-step explanation:

The circumference is 72 inches.

It cost $36.75 for three tickets to visit the science center. It cost $51 for 4 tickets to visit the zoo. Which attraction will cost more money for a group of 12 students to visit? How much more?

Answers

Find the cost for one ticket for the science center.
36.75 ÷ 3 = 12.25
Multiply the product with 12 to get the cost of 12 tickets.
12.25 × 12 = 147
Find the cost of 1 zoo ticket.
51 ÷ 4 = 12.75
Find the cost of 12 tickets by multiplying the product and 12
12.75 × 12 = $153
12 Science Center Tickets cost $147
12 zoo tickets cost $153

The Zoo costs more than the Science Center.

To find out how much more the Zoo costed, subtract 147 from 153.
153 - 147 = 6
The zoo only costs $6 more for 12 students.
So, you're answers are Zoo and $6

help was 2+2??

this is the before​

Answers

2 plus 2 is 4 but if you are doing monkey math it would be 44

Answer:

169

Step-by-step explanation:


Juanita makes $26 an hour at work. She has to take time off work to purchase her skirt, so each hour away from work costs her $26 in lost income. Assume that returning to work takes Juanita the same amount of time as getting to a store and that it takes her 30 minutes to shop. As you answer
the following questions, ignore the cost of gasoline and depreciation of her car when traveling.

Answers

Answer: Local Department Store: $6.5, $118.5

Across Town: $13, $102

Neighboring City: $26, $96

Step-by-step explanation:

Local Department Store: 1 hr=60 min.

60/15=4

26/4=$6.5

112+6.5=$118.5

Across Town: 60/30=2

26/2=$13

89+13=$102

Neighboring City: 60/60=1

26/1=$26

70+26=$96

(04.01 MC) A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 10 inches. Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 10) would represent a height of 10 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points) Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points) Part C: If the rate at which the candle burned was 0.75 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)

Answers

The ordered pairs, justification of the function with different order pairs is required.

The ordered pairs are [tex](0,10),(1,9.5),(2,9),(3,8.5),(4,8),(5,7.5)[/tex]

All values of [tex]x[/tex] has a unique value in [tex]y[/tex] so, it is a function.

y = Height of candle

x = Number of hours

m = Rate = 0.5 inches per hour

c = y intercept = Initial height = 10 inches

The required function is

[tex]y=-0.5x+10[/tex]

Six ordered pairs would be

[tex]x=0,1,2,3,4,5[/tex]

[tex]y=-0.5\times 0+10=10[/tex]

[tex]y=-0.5\times 1+10=9.5[/tex]

[tex]y=-0.5\times 2+10=9[/tex]

[tex]y=-0.5\times 3+10=8.5[/tex]

[tex]y=-0.5\times 4+10=8[/tex]

[tex]y=-0.5\times 5+10=7.5[/tex]

The ordered pairs are

[tex](0,10),(1,9.5),(2,9),(3,8.5),(4,8),(5,7.5)[/tex]

It can be seen that all values of [tex]x[/tex] has a unique value in [tex]y[/tex] so, it is a function.

If m = 0.75 inches per hour

The function would change to

[tex]y=-0.75x+10[/tex]

Some ordered pairs would be

[tex]y=-0.75\times 0+10[/tex]

[tex]y=-0.75\times 1+10[/tex]

[tex](0,10),(1,9.25)[/tex]

The same is seen in this function, all values of [tex]x[/tex] has a unique value in [tex]y[/tex] so, it is a function.

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Solve for x for the triangle

Answers

Answer:

(appx) 4.3

Step-by-step explanation:

[tex] \sin(64) = \frac{x}{10} [/tex]

[tex] = > 0.43 = \frac{x}{10} [/tex]

[tex] = > x = 4.3[/tex]

what is 7 7/8 dvided by 3 1/8 mixed numbers

Answers

Answer:

2.52

Step-by-step explanation:

Answer:

2.52

Step-by-step explanation:

What linear function models the table of values?

Answers

i think it’s c im not sure :/

Angles that form a linear pair
add up to [?]°

Answers

Answer:

180°

Step-by-step explanation:

Two adjacent angles whose sum add up to 180°are called Linear pair. The uncommon arms of two adjacent angles form a straight line.

Find the scale factor of trapezoid QRST if it’s dilated to Q’R’S’T’. Type your result in the empty box provided below. HELPP PLEASE!!!!!!

Answers

Answer:

5 units

Step-by-step explanation:

its hard to tell but i think it dilated 5 units

We want to find the scale factor at which QRST is dilated to form Q'R'S'T'

We will find that the scale factor is 2.

In a general dilation, we will see that all the measures change in the same way, by the scale factor.

This means that:

QR*k = Q'R'

RS*k = R'S'

And so on, where k is the scale factor.

Then we can just find one of the equivalent measures in both trapezoids and find the value of k.

For example, we have:

Q'R' = 8

QR = 4

Replacing these on the above equation we get:

4*k = 8

k = 8/4 = 2

k = 2

The scale factor of dilation is 2.

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You have already saved $55. You earn $9 per hour babysitting. You are saving for a camera that costs $199. Write and solve an inequality represents the possible numbers you need to work to buy the camera.

Answers

199-55=144 (division sign) 9=16

David wants to start a lawn care business. He offers his clients two different service options: Plan A charges $20 per month plus $5 an hour. Plan B charges $30 per month plus $3 an hour. He used the system of equations below to determine how much money he can make on both plans. y = 5x + 20 y = 3x + 30 If x represents the number of hours he works, and y represents the total money he makes, how many hours would he have to work to make the same amount of money with both plans?

Answers

Answer:

1440 hrs

Step-by-step explanation:

5 is the number of hours he works, and 45 is the total money David makes.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that David  offers his clients two different service options.

Plan A charges $20 per month plus $5 an hour.

Plan B charges $30 per month plus $3 an hour.

y = 5x + 20 and y = 3x + 30 are the system of equations to determine how much money he can make on both plans.

y = 5x + 20..(1)

y = 3x + 30..(2)

Substitute equation 2 from equation 1.

y-y=5x+20-3x-30

0=2x-10

2x=10

Divide both sides by 2

x=5.

Now substitute x in equation 1.

y=25+20

y=45

Hence, 5 is the number of hours he works, and 45 is the total money David makes.

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The National Science Institute was conducting research on the speed of Cheetahs. After
concluding their research, they were able to predict the cheetahs speed or distance when given
certain times or miles that the cheetah traveled. Complete the table of values and graph the
data on the coordinate plane.

Time(min) |. Distance(mi)
0. 0
1/2. 2/3
1. ?
? 3
8. ?

Answer the following questions using the information above.
1.) Is the relationship proportional? Why or why not?
2.) What is the unit rate?

Answers

The table of values is:

Time(min)           |         Distance(mi)

0                                         0

1/2                                     2/3

1                                         4/3

9/4                                      3

8                                       32/3

1) The relationship between Distance and Time is proportional.

2) The unit rate is 4/3 miles

To complete the table, we need to find the missing values of time and distance.

We use the relation between Distance, speed and time ,to find the missing values, which is given by,

Distance = Speed x Time

Given when time = 1/2 minute, the distance = 2/3 miles

Speed = Distance/Time

           = 2/3 x 2/1

           = 4/3 mile per minute.

This is the constant speed of the cheetah. We use this constant speed to find the other values to complete the table.

So If we take 'y' as the distance and 'x' as the time, then the relationship between time and distance can be expressed as

  y = (4/3)x  [since Distance = Speed x Time ].

So this relationship is proportional because there is a constant of proportionality 4/3 in the linear equation above and hence can be graphed as well.

The graph will contain the time values on the x-axis and distance values on the y-axis.

So now we need to find the missing values on the table using the above linear equation.

When time, x = 1 minute, distance, y = (4/3) x 1 = 4/3 miles.

When distance, y = 3 miles, 3 = (4/3)x

⇒ time, x = 3 x (3/4) = 9/4 minutes.

When time, x = 8 minutes, distance, y = (4/3) x 8 = 32/3 miles.

So the table is:

Time(min)            |        Distance(mi)

0                                         0

1/2                                     2/3

1                                         4/3

9/4                                     3

8                                        32/3

The unit rate refers to the y-value when the x-value is unity(1). So the unit rate here is found when time = 1 minute.

From the table, distance when time = 1 minute is 4/3 miles.

Hence, unit rate = 4/3 miles.

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Burj Khalifa in Dubai is the tallest building in the world, standing at 828 meters. An adjacent
building, 100 meters away, stands at 550 meters tall. What is the angle of depression from Burj
Khalifa to the adjacent building?

Answers

Answer:

Approximately 70 degrees

Step-by-step explanation:

If we make a right triangle connecting the two buildings, we get a triangle with height 278m and length 100m

We can connect these two values to the theta by using the inverse tan formula

arctan(278/100) = 70.21572110836 degrees.

The angle of depression is approximately 70 degrees

Use the number line to identify the least value, first quartile, median, third quartile, and greatest value of the data.

Ages of teachers (in years): 30, 62, 26, 35, 45, 22, 49, 32, 28, 50, 42, 35

Answers

Answer: least value - 22

first quartile - 29

median - 35

third quartile - 47

greatest value - 62

Step-by-step explanation:

galaxy a has 8x10 stars. galaxy b has 6x10 stars. choose which galaxy has more stars. then fill in the blank with a number written in standard notation

Answers

Answer: 750 times more stars.

Step-by-step explanation:

You already know the answer (Galaxy B is quite obviously larger) but the amount of times larger is dependent on the value you get when you divide;

6 billion by 8 million (6,000,000,000/8,000,000)

...which is 750.

please answer correctly!!

Answers

Answer:

Undefined

Step-by-step explanation:

y = 0
y = 4 and y = 0 are parallel
they both go across the y axis in a straight line and will never touch

Evaluate the numerical expression: 44
The second 4 is an exponent

Answers

its 256.............................

(7-6)•w
simplify the variable expression​

Answers

Answer:

7w-6w

Step-by-step explanation:

I think this is what your asking for. If it is, you distribute the w

Answer:

w

Step-by-step explanation:

You complete the subtraction in the parentheses first, then multiple that by w. So:

(7-6) x w

(7-6) = 1

1 x w = w

If a student is taking classes, math, English, P.E., history, biology and Spanish, then what is the chance that the student will take math period? Assume that there are six periods in one day.
10%
17%
25%
60%

Answers

Answer:

60%

Step-by-step explanation: i hope this heple

\

I will give brainliest i will also give a lot of points

Answers

Answer:

-12y^10

Step-by-step explanation:

First let's rewrite the equation using the commutative property of multiplication
3 x (-4)y^8y^2

Multiply y^8 by y^2 by adding the exponents
y^8+y^2= y^10

3 x (-4)y^10

Now multiply 3 by -4
3 x -4= -12

Finally put them together
-12 + y^10= -12y^10

Answer:

[tex] - 12 {y}^{10} [/tex]

Step-by-step explanation:

We are to simplify:

[tex](3 {y}^{8} )( - 4 {y}^{2} )[/tex]

3 multiplies -4 to get -12, as shown below

[tex]3 \times - 4 = - 12[/tex]

Now, to multiply the exponents which are 8 and 2, we have to use the exponential rule of multiplication: [tex] {a}^{b} \times {a}^{c} = {a}^{b + c} [/tex]

Therefore:

[tex] {y}^{8} \times {y}^{2} = = > {y}^{8 + 2} = {y}^{10} [/tex]

Now, combine -12 and [tex] {y}^{10} [/tex] to get your final answer.

Final answer [tex] = - 12 {y}^{10} [/tex]

I hope this helps

the larger of 2 consecutive integers is 10 more than twice the smaller. Find the integers

Answers

The smaller integer is -8 and larger integer is-9
-9 is the smaller integer, and -8 is the larger integer.

Max purchased a solar pool cover for his swimming pool. What is the area of the
solar cover for the swimming pool?
10ft
32 ft
Square Feet

Answers

Answer:

320 ft^2

Step-by-step explanation:

Subtract the following polynomials, then place the answer in the proper location on the grid.
2x^2+5x-10
3x2 - x + 9

Answers

Answer:

[tex]-x^2+6x-19[/tex]

Step-by-step explanation:

Step one:

given

[tex]2x^2+5x-10\\\\3x^2 - x + 9[/tex]

we want to perform a subtraction operation

[tex]2x^2+5x-10-(3x^2 - x + 9)\\\\ 2x^2+5x-10-3x^2 + x - 9 \\\\[/tex]

collect like terms

[tex]2x^2-3x^2+5x+x-10-9\\\\-x^2+6x-19[/tex]

Write your own situation about the inequality below. 10 x + 20 ≤ 150

Answers

Answer:

k

Step-by-step explanation:

10)×20+21-150

you will end up getting your answers

I want you to just do the easy bit

the calculations if that's alright

WILL GIVE BRAINLIEST!!

Ignore the $

Meyer rolls two fair, ordinary dice with the numbers $1,2,3,4,5,6$ on their sides. What is the probability that at least one of the dice shows a square number?

Answers

Two numbers on each die are squares: 1 and 4. 4 numbers on each die are not squares: 2 , 3, 5, and 6. there are 16 ways for him to roll a non-square die, out of 36 outcomes for the pair of dice. The other 20 options each have a square number showing on one or both dice. So, the probability is 5/9. hope this helps please pick my answer as brainliest, have a good day!

A store pays by the ounce to have different types of bracelets made and wants categorize them by price drag each purchase to the category that shows the ratio of dollars

Answers

Answer:

include a picture

Answer:

THIS IS THE CORRECT ANSWER FOR IMAGINE MATH BRAINLIEST PLZ

Step-by-step explanation:

yw!

a boat travelled 36 miles in 2 hours. At this rate how many miles will the boat travel in 1/3 hour

Answers

Answer:

6 miles

Step-by-step explanation:

36/2=18 mph

18/3=6 per 1/3 hour

The mean of four number is 30. if three of the numbers are 12, 50, and 48 what's the fourth number?​

Answers

Answer:

if the mean of 4 numbers is 30 then that means that the total of all the numbers added together must add up to 120 (30 x 4)

then you subtract the three numbers that you have from the total

120-12-50-48 = 10

so the last number is 10

Step-by-step explanation:

help me lol
50 points for whoever answers correctly

Answers

Answer:

  C

Step-by-step explanation:

You want to choose the number line graph that appropriately represents the inequality 0 < x ≤ 26.

Graphing inequalities

The given compound inequality is conveniently written with the "arrows" pointing to the left. This means the lower limit of the variable is on the left side of the inequality, just as it is on the left end of the number line graph.

The inequality symbols used are "less than" (<) and "less than or equal to" (≤). The "less than" symbol is represented on a number line graph by an open circle. The "less than or equal to" symbol is represented by a filled dot on the number line.

This means you are looking for a graph that has an open circle on the left end of a solid line, and a filled dot on the right end. Only graphs B and C have finite-length lines, and only graph C has a filled dot at the right end.

Car seats

In English, the word "between" often implies "and including" when it is describing an interval between two limits. Here, you are given 3 car seat specifications:

A: 0 < x ≤ 26 . . . . . up to 26 lbsB: 18 ≤ x ≤ 35 . . . . . between 18 and 35 poundsC: 26 ≤ x ≤ 75 . . . . . between 26 and 76 pounds

The seats appropriate for a 33-lb child would be seats B and C, because 33 is included in each of those intervals.

Other Questions
In a solution, solute substances naturally tend to move from areas of higher concentration to areas of lowerconcentration.What is the name of this process?diffusionpassive transportO equilibriumosmosis There is only one question plz answer it using the text below. The large subcontinent that is india is borded by a great ancient cilization or Harappan civilization. It is named after Harappa, one of its two important cities, that developed in the Indus river valley. Like other earlycivilizations, the river was used for theirrigation of crops. As farming increased, the population increased, and by about 3,000 B.C.E. neolithic villages were developing into larger cities. The other major city of the Indus Valley was Mohenjo-Daro. Both were large, around three miles in circumference, and had populations of around 40,000. Each had huge hilltop structures called a citadel. Unlike Mesopotamia or Egypt, it is impossible to learn much about the Harappan society for two reasons. First, archeologists cannot get to the earliest Harappan physical remains. Silt deposits buried the lndus valley so high that the level of the land as well as the water table was raised. Thus, the earliest Harappan remains lie below the water table. The earliest remains that archeologists can study begin at about 2500 B.C.E., when the Harappan society was fully developed.Second, historians cannot decipher Harappan writings. There is no Rosetta Stone for the Harappan written language. Although historians have thousands of clay seals, copper tablets, and other artifacts with Harappan script, they cannot read the ancient writings that allow them to learn details about their society.Cities were divided into lower dwellings and the higher level citadel, which housed important buildings. The large fortified citadels may indicate the existence of a theocratic and authoritarian society. 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