A total of 494 tickets were sold for the school play. They were either adult tickets or student tickets. There were 56 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer 1
Answer: There were 275 adult tickets sold.

494=x+x-56
494=2x-56
550=2x
275=x
Answer 2

The number of adult tickets sold will be 275.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that a total of 494 tickets were sold for the school play. They were either adult tickets or student tickets. There were 56 fewer student tickets sold than adult tickets.

Assume that the number of adult tickets sold are [x] and the student tickets sold are [y]. Then -

x + y = 494

y = x - 56

So, we can write the equation as -

x + x - 56 = 494

2x = 550

x = 275

Then, we can find [y] as -

y = 275 - 56 = 219

y = 219

Therefore, the number of adult tickets sold will be 275.

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Related Questions

-61=-3(1-5p)+4(-8-7p)

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Answer: hello! have a good day! :)))

P = 2

what is going on
I am confused ​

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?????? what do you mean

Answer:

What do you mean?

Step-by-step explanation:

I would suggest adding more info

Plz help me well mark brainliest if you are correct!..

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Answer:

8

Step-by-step explanation:

all numbers must be positive when you have the lines on the side

Answer:

8

Step-by-step explanation:

Help please it is do in 1hour

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Answer:

The area of the triangle is 40 [tex]yd^2[/tex].

Step-by-step explanation:

The formula for finding the area of a triangle is [tex]\frac{1}{2} bh[/tex], where [tex]b[/tex] and [tex]h[/tex] represents the base length and height respectively. Since the height is 10 yards, and the base length is 8 yards, that means the area will be [tex]\frac{1}{2} * 8 * 10 = \frac{1}{2} * 80 = 40 yd^2[/tex].

Five applicants are to be scheduled for job interviews at five given times. On an application form, each applicant was asked to mark two out of the five times. What is the probability that each of them can be interviewed at one of the two times they have marked

Answers

Answer:

0.01024

Step-by-step explanation:

Assume marking was done at random : Hence, each of the 5 time slots have equal Chamves of being marked ;

Number of time slots, n = 5

Required to mark, number of preferred timeslot x = 2

P(x) = 2 /5 = 0.4

Probability of 0.4 that an interviewee gets one of his preferred timeslot.

Probability that each of the 5 interviewees gets one of their preferred time slots :

Using the multiplication rule of independence :

0.4 * 0.4 * 0.4 * 0.4 * 0.4 = 0.4^5 = 0.01024

0.01024 * 100% = 1.024%

Find the value of the following by suitable rearrangement. Mention the
property used.
a. 25 x 679 x 4
b. 2917 x 102 - 2917 x 2

Answers

Answer:

(a) 67900

(b) 291700

Step-by-step explanation:

(a) 25 x 679 x 4

Rearrange the terms starting with the smallest

4 x 25 x 679

The property used here is the commutative property of multiplication which states that the order in which these numbers are multiplied does not matter.

Now solve

4 x 25 x 679 = 67900

(b) 2917 x 102 - 2917 x 2

Factor out the common terms

2917(102 - 2)

Using the distributive property which states that when a number is multiplied by the sum or difference of two numbers, the result is the same as multiplying each of the two numbers by the number and then adding or subtracting the products.

Now solve

2917(102 - 2) = 2917(100)

= 291700

Use the linear regression feature on a graphing calculator to find the correlation coefficient for the data. Round your answer to three decimal places.

Answers

Answer:

0.9769

Step-by-step explanation:

Given the data :

X : 7.5, 9.9, 4.8, 9, 8.1, 1.7, 3.1

Y : 35, 6, 45, 18, 20, 89, 84

The Correlation Coefficient obtained by using a graphing calculator to model the data above is : 0.9769, this means a strong positive correlation exists between the two variables.

Ica ingin membuat sebuah lampion
berbentuk kubus, panjang rusuknya 15
dm, maka volume lampion Ica adalah
... m?
a. 45
b. 3,375
c. 33,75
d. 3,375

Answers

Well the answer is 3,375

which number line shows the solution to the inequality below

-4g<4

(look at picture)

Answers

Answer:

b

Step-by-step explanation:

make g by itself -> inequality becomes g>-1. Answer choice b fits the criteria

The histogram shows the ages of the players in an adult volleyball league. Which of the
following statements is true?
Volleyboll Players Ages
The older the age group, the greater the
number of players
5
There are 30 players between ages 20 and 25.
Number of Players
More than half of the players are under age
40.
20% 30% 50's 70's
Age Group
There must be 5 players between 50 and 55.

Answers

Answer:

More than half of the players are under age

40.

Step-by-step explanation:

Evaluating the expression : More than half of the players are under age 40.

Below 40s :

Number of players in 20s = 19

Number of players in 30s = 24

(19 + 24) = 43 players

40s and above :

40s = 8 players

50s = 10 players

60s = 5 players

70s = 2 players

(8 + 10 + 5 + 2) = 25 players

Hence, total number of players below 30s is more Than half of the total players

using power to a power, what is (3^3)^3*

Answers

19,683

Hope this Helped!

Which expression is NOT equal to 28?
A (9 + 25 = 5) x 2
B. [(13 – 4x2) – 1] x 7
C. 42 = 6 + 28 = 4
D. 7 [8 - (12 - 4x 2)]

Answers

Answer:

aaaaa

Step-by-step explanation:

Answer:

I think it’s A

Step-by-step explanation:

Cage has been given two offers. Tallahassee Jellyfish offer is p = $400,00g and Madison Meerkats offer is p = $1,250,000 + $150,000g. Which offer is better if Cage can play 8 games in the season?

Tallahassee Jellyfish offer is p = $400,00g and Madison Meerkats offer is p = $1,250,000 + $150,000g. At what point these two offer's graphs intersect?

(5, 2000000)


(5, 2)


(16, 3600000)


(50, 20000)

Answers

Answer:

1. Tallahassee Jellyfish is the better offer 2. (5, 2000000)

Step-by-step explanation:

1.

Since g = 8, p1 = 400000 * 8 = $3,200,000

and p2 = 1250000 + 150000 * 8 = $2,450,000

2.

400,000g = 1,250,000 + 150,000g

250,000g = 1,250,000

g = 1,250,000 / 250,000 = 5.

at g=5, you can use either graph to find the y value.

400,000 * 5  = $2,000,000

(5, 2000000)

Eight new graduates are hired by an engineering firm. Each is assigned at random to one of eight cubicles arranged in a row in the back of the room that houses the engineering staff. Two of the graduates are Bill and Cathy. What is the probability that they are assigned adjacent cubicles

Answers

Answer:

the probability that they are assigned adjacent cubicles is  1 ÷ 4

Step-by-step explanation:

Given that

There is 8 new graduates are hired

2 of the graduates are bill and cathy

And, each one is assigned on random basis

We need to find out the probability

So,

= (2) (7!) ÷ (8!)

= (2) ÷ (8)

= 1 ÷ 4

Hence, the probability that they are assigned adjacent cubicles is  1 ÷ 4

The same would be relevant

Give the trigonometric form of each vector (leave the magnitude as a square root) p=
(<2V6, -2V2)

Answers

Answer:

[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or [tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]

Step-by-step explanation:

Find the magnitude of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:

[tex]||v||=\sqrt{(2\sqrt{6})^2+(-2\sqrt{2})^2}[/tex]

[tex]||v||=\sqrt{24+8}[/tex]

[tex]||v||=\sqrt{32}[/tex]

Find the direction angle of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:

[tex]\alpha=tan^{-1}|\frac{-2\sqrt{2}}{2\sqrt{6}}|[/tex]

[tex]\alpha=tan^{-1}|-\frac{\sqrt{3}}{2}|[/tex]

[tex]\alpha=tan^{-1}(\frac{\sqrt{3}}{2})[/tex]

[tex]\alpha=40.89^{\circ}[/tex]

Since [tex]\alpha=40.89^{\circ}[/tex] is our reference angle, we determine our direction angle [tex]\theta[/tex] by verifying our angle is in Quadrant IV, which is where the vector is located. Therefore, [tex]\theta=360^{\circ}-\alpha=360^{\circ}-40.89^{\circ}=319.11^{\circ}[/tex]

To represent a vector's magnitude and direction in trigonometric form, we use the form [tex]v=<||v||cos\theta,||v||sin\theta>[/tex] or [tex]v=||v||cos\theta i+||v||sin\theta j[/tex].

In conclusion, the trigonometric form of the vector is:

[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or

[tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]

A truck weighs 14,000 pounds how many tons do two truck weigh

Answers

Answer:

14 tons

Step-by-step explanation:

1 truck -- 14 000 pounds

2 trucks -- (14 000 * 2) = 28 000 pounds

1 pound --- 0.0005 tons

So, 28 000 pounds --- 14 tons

Thenks and mark me brainliest :)

Which word best describes the degree of overlap between the two data sets?

none

moderate

high

low

Answers

Answer:

Moderate

Step-by-step explanation:

I think sorry if its wrong

Two angles are complementary. mZT is (3x + 17)° and mZW is 19°
Solve for x and for mZT.

Answers

Answer:

x = 18

mZT = 71º

Step-by-step explanation:

Complementary angles total 90º

(3x + 17) + 19 = 90

Subtract 19 from both sides

3x + 17 = 71

mZT = 71º

Subtract 17 from both sides

3x = 54

Divide both sides by 3

x = 18

Estimate the line of best fit using two points on the line. (8, 80) 100 90 80 70 60 50 40 30 20 10 (2.20) 10 O A. y= 2x O B. y = 2x + 10 O c. y= 10x+ 2 OD. y= 10x​

Answers

Answer:

[tex]y = 10x[/tex]

Step-by-step explanation:

Given

The attached plot

Required

The line of the best fit using [tex](8,80)[/tex] and [tex](2,20)[/tex]

We have:

[tex](x_1,y_1) = (8,80)[/tex]

[tex](x_2,y_2) = (2,20)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{20 - 80}{2- 8}[/tex]

[tex]m = \frac{-60}{-6}[/tex]

[tex]m = 10[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 10(x - 8) + 80[/tex]

Expand

[tex]y = 10x - 80 + 80[/tex]

[tex]y = 10x[/tex]

How many gallons of a plant food that is 6% nitrogen must be combined with another plant food that is 30% nitrogen to make 10 gal of a plant food that is 15% nitrogen?

Answers

Answer:

x = 6 1/4

y = 3 3/4

Step-by-step explanation:

let 'x' = gallons of 6% nitrogen

let 'y' = gallons of 30% nitrogen

system of equations:

x + y = 10;  let y = 10-x

6x + 30y = 10(15)

substitute '10-x':

6x + 30(10-x) = 150

6x + 300 - 30x = 150

-24x = -150

x = 6 1/4

y = 3 3/4

The ratio of red chairs to blue chairs in the cafeteria is 3:5. If there are a total of 144 chairs in the cafeteria, how many are red?

Answers

Answer:

54.

Step-by-step explanation:

The fraction that are red = 3/(3+5) = 3/8.

So number of red chairs = 3 * 144/8

= 54.

PLEASE HELP ME IT'S MY LAST GRADE​

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

SOMEONE HELP ME WITH THIS PLEASE IM STRUGGLING

Answers

Answer:

Final point (-4, 4) Original point (3, -4)

Answer:

Again, I can't move it for you but I can give you the points!

original: (3, -4)

final: (-4, 4)

please help

thank you​

Answers

Answer:

Step-by-step explanation:

-4<n≤5

What’s the answer no links or I will report

Answers

m /_ 1 = 75°

37+68= 105
180-105=75

x>-2

Wyatt wants to spend no more than $25 at the grocery store. He bought a

pizza for $7.55 and a cake for $11.02 (including tax). Choose the inequality

that he can use to find how much money he can still spend.

Answers

Answer:

he spent $18.57 and he can spend $7.43 more

The solution is, he can still spend no more than $6.43.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

Wyatt wants to spend no more than $25 at the grocery store.

He bought a pizza for $7.55 and a cake for $11.02 (including tax).

now, we have to find the inequality that he can use to find how much money he can still spend.

let, we would spend = x

now, we have,

He bought a pizza for $7.55 and a cake for $11.02

so, he had = $ x - ( 7.55 + 11.02)

we have,

x ≥ 25

so, he can still spend ≥ 25 -  ( 7.55 + 11.02)

or, he can still spend ≥ 6.43

i.e.  he can still spend no more than $6.43

Hence, The solution is, he can still spend no more than $6.43.

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suzanne babysits to earn extra money. she charges $15 for each hour that she babysits. What represents the independent variable in this situation?

A. The total amount charged for babysitting
B. The rate she us paid per hour
C. The number of hours she babysits
D. The number of children she babysits

Answers

Answer:

C. The number of hours she babysits

Step-by-step explanation:

In this situation, the number of hours she babysits is the independent variable.

This is because it will directly influence the amount of money that she earns, which is the dependent variable.

For example, working for 1 hour will earn her $15.

So, the correct answer is C. The number of hours she babysits

There are eight boys and seven girls in a class. The teacher randomly selects three different students to answer questions. What is the probability that the first two students are girls followed by a boy?

Answers

the probability is 7/15

Step-by-step explanation:

because there are 7 girls and 8 boys

What is the area of the polygon?

Answers

Answer:

[tex]154m^{2}[/tex]

Step-by-step explanation:

8 · 7 = 56m (horizontal rectangle shape) the width was given by subtracting the total of the width (23m) minus (16m).

5 · 8 = 40m (square shape) Subtract 8m - 3m = 5m.

6 · 8 = 48m (square shape to the left of the polygon)

2 · 5 = 10m  (small rectangle shape bottom left) 8 - 6 = 2 for the length and 5 for the width by 8 - 3 = 5

56m + 40m + 48m + 10m = 154 [tex]m^{2}[/tex]

Which inequality is represented by the graph below? Check all that apply. Ox>9 Ox​

Answers

Answer:

The correct answers are [tex]x < 9[/tex] and any rational number less than 9.

Step-by-step explanation:

Since the inequality represented in the number line has the arrow going towards the left, and has a open/not highlighted circle on 9, that means the inequality represented by the number line is [tex]x < 9[/tex], which means the exact same as any rational number less than 9, so those two choices are the correct answer.

X < 9 and any rational number less than 9
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