the drama club is selling tickets for the spring musical each student ticket is $5 each adult ticket is $8 total of $222 tickets were sold the total ticket sells for $1,626 which system of equation can be used to represent the situation​

Answers

Answer 1

Answer and Step-by-step explanation:

I don’t really know which system of equation to use, but I did the work. I also think there is supposed to be an attached picture but it’s fine

——————————————————————————————————————

Let x be students

Let y be adults

x + y = 222

5x + 8y = 1,626. <— let’s use the elimination/addition method to Solve this. Also, let’s eliminate y.

8 (x + y = 222)

-1 (5x + 8y = 1,626)

8x + 8y = 1,776

+ -5x - 8y = -1,626 <— add both of them

——————————————

3x = 150 <— divide 150 by 3

x = 5


Related Questions

2(3−8y)= i need help someone

Answers

Answer:

6-16y

Step-by-step explanation:

Distribute

2*3

2*-8y

6-16y

Answer:

this is the answer 2 • (3 - 8y)

Step-by-step explanation:

A 300 room hotel can rent every one of its rooms at $80 per room. For every $1 increase in rent, 3 fewer rooms are rented.
How much should the hotel charge for each room to maximize its daily revenue? What is the maximum daily revenue?

Answers

Answer:

The hotel charge for each room to maximize its daily revenue and the maximum daily revenue is explained below in details.

Step-by-step explanation:

So for every $1 hike in price, the number of rooms goes underneath by 1.

So the earnings can be displayed by R(x) = (300-x)(80+x)

From that, you require to subtract 22(300-x) since it takes $22 per occupied room.

AND there is a framed cost of $1000 per day.

So your profit function is P(x) = (300-x)(80+x) - 22(300-x) - 1000

Simplified, this is P(x) = -x2 +242x + 16400.

P'(x) = -2x + 242  Set it = to 0

x = 121 which displayed the number of unoccupied rooms.

P(121) = -14641 + 29282 + 16400 = $31041

You can verify by computing P(120) and P(122) which both even $31040.

Hope this helps.

Give each a sum or difference:
a. -12+4=
b. -4+1=
c. 4 - 12=
d. 4+12=

Answers

A. -8
B. -3
C. -8
D. 16

HELP MEEEEE this is so harddd. the picture is above.

Answers

Answer:

A)

Step-by-step explanation:

V=1/3([tex]\pi[/tex]r²)h

3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side

3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)

3V/(πr²)=h is the final answer so that matches A

Find the 8th term in the following sequence.
32, 16, 8, 4, ..

02
O 114
O 1/2
O 1

Answers

Answer is 1/4
Option ‘B’

please help me asap will give brainliest

Answers

Step-by-step explanation:

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

So the smallest angle is <P.

Hope it may help :)..

Rounded to three decimal places, what is the value of r for this data set?

Variable x 8 15 3 7 2 14
Variable y 15 21 6 12 3 20

Choices:
A. 0.950
B. 0.938
C. 0.880
D. 0.981

Answers

I think the answer is B not sure though

Solve the proportion ASAP help do both questions

Answers

Answer:

7. 4

8. 7

Step-by-step explanation:

7. [tex] \frac{1}{2} = \frac{x}{8} [/tex]

Cross multiply

[tex] 1*8 = x*2 [/tex]

[tex] 8 = 2x [/tex]

[tex] \frac{8}{2} = \frac{2x}{2} [/tex] (division property of equality)

[tex] 4 = x [/tex]

[tex] x = 4 [/tex]

8. [tex] \frac{3}{x - 3} = \frac{6}{8} [/tex]

Cross multiply

[tex] 3*8 = 6(x - 3) [/tex]

[tex] 24 = 6x - 18 [/tex]

[tex] 24 + 18 = 6x [/tex] (addition property of equality)

[tex] 42 = 6x [/tex]

Divide both sides by 6

[tex] 7 = x [/tex]

[tex] x = 7 [/tex]

Kim’s bedroom is 13 feet long by 11 feet wide what is the area of her bedroom

Answers

Answer:

143

Step-by-step explanation:

multiply the 2 together

plz brainliest!

The area of her bedroom is 143 square feet.

What is area of rectangle?

The area of rectangle is product of its length to its width.

i.e., Area of rectangle= length x width

Given:

length = 13 feet

width = 11 feet

so, Area of rectangle = length x width

                                   = 13 x 11

                                   = 143 square feet.

Hence, the area of her bedroom is 143 square feet.

Learn more about area of rectangle here:

https://brainly.com/question/20693059

#SPJ2

help me to solve this please​

Answers

Answer:

-4/9

Step-by-step explanation:

We first calculate the first bracket.

[2/3-(-4/9)]

= (2/3+4/9) (we cancel out the negatives)

= (6/9+4/9) (common denominator)

= 10/9

Then we convert -2 1/2 into an improper fraction.

-2 1/2

= -5/2

Finally we calculate the division by swapping the numerator and denominator of -5/2.

10/9 / -5/2

= 10/9 * -2/5

= -20/45

= -4/9 (simplify the terms)

BRAINLIEST
PLEASE LEAVE A SMALL EXPLANATION AND ILL MARK BRAINLIEST :)

Answers

The Answer Would Be C :)

Please help!!! Will give brainliest!!!

Answers

Answer:d

Step-by-step explanation:

Both aren’t related But they do have some impact on eachother

What is the coefficient in the following expression?
5a2-7

Answers

Answer:

5

Step-by-step explanation:

coefficeint is the number before the variable

What expressions are equivalent to -4/3 p -2/5

Answers

Answer:

-3/6

Step-by-step explanation:

integer rules

I REALLY NEED HELP? :,)

Answers

reciprocal of 6 by 3 is 3 by 6

Answer:

3/7

Step-by-step explanation:

Does anyone know which one is the right answer

Answers

Answer:

Number 2 is incorrect

Step-by-step explanation:

The correct answer would be line CA is congruent to line ZX

draw a model of 100oz of soda divided equally among 12 students. How many oz will each person have?

Answers

That's how many ounces of water you should drink per day. For instance, a person who is 200 pounds, should drink 100 oz. of water per day to be adequately hydrated. (That's 12.5 glasses of water!)

What is the measure of the angle? Enter the answer in the box.

Answers

Answer: Acute angle

Step-by-step explanation:

because it is at a 62 I think angle

help please. I need ​

Answers

Answer:

the slope is= 3/2

y= (3/2)x + (-4)

A game of chance involves spinning a wheel with 4 number on it. The wheel is designed so that the result of each spin Xhas the following probability distribution. 2 3 Result of a spin .x Probability : 0.50
(a) Find and interpret the mean of X.
(b) Find and interpret the standard deviation of x.
(c) It costs a player $5 for a single spin. The player will receive (in dollars) three times the number that appears. So the profit for one play of this game is Yeur 5. What is the mean and standard deviation of 7

Answers

Distribution table :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

Answer:

1.85 ; 1.014 ;` 0.55 ; 3.042

Step-by-step explanation:

Probability distribution :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

The mean: E(x) = Σ(X * p(x))

(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)

= 1.85

Standard deviation = sqrt(Var(x))

Var(x) = Σ(x²*p(x)) - E(x)²

Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2

= 4.45 - 3.4225

= 1.0275

Standard deviation = sqrt(1.0275)

Standard deviation = 1.0136567

Standard deviation(X) = 1.014

3.)

Cost of spin = $5

Amount, y to be received = 3 times the number that appears

y = 3x - cost of playing

y = 3x - 5

E(y) = E(3x - 5)

E(y) = E(3x) - 5

Recall :E(x) = 1.85

E(y) = 3(1.85) - 5

E(y) = 0.55

Standard deviation :Sd(y) =

Sd(3x - 5)

3(1.014)

= 3.042

The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Suppose you look at the authors of the textbooks for your current courses and find that there are 8 authors in total. What is the probability that none of the 8 surnames of these authors were among the 10 most common

Answers

Answer:

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

Step-by-step explanation:

For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

These names account for 9.6% of all U.S. residents.

This means that [tex]p = 0.096[/tex]

8 authors in total.

This means that [tex]n = 8[/tex]

What is the probability that none of the 8 surnames of these authors were among the 10 most common

This is [tex]P(X = 0)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

What is the base in the following expression?

Answers

Answer: A. 4

Step-by-step explanation: The base number is 4 and the exponent is 5. Hope this helps ^-^.

a.4 is the answer i am guessing

solve -3x-2y=2, 9x-5y=-28 using the elimination method

Answers

The answer is the picture. Hope this helped.

Standard form of y=7x+10

Answers

Answer: 7x-y=10

Step-by-step explanation:

benjamin believes that 1/2% is equivalent to 50%. Is he correct? Why or why not?​

Answers

Answer:

yes because 1 divided by 2 is 0.5 which can be converted to 50%

( -4, 3 ) ; m = 2 Write the equation of the line in point-slope form that passes through the given point with the given slope

Answers

ExplanationPoint-Slope Form

[tex] \large \boxed {y - y_1 = m(x - x_1)}[/tex]

Substitute the coordinate point value in the equation

[tex]y_1 = 3 \\ x_1 = - 4 \\ m = 2[/tex]

[tex]y - 3 = 2(x - ( - 4)) \\ y - 3 = 2(x + 4)[/tex]

Answer

[tex] \large \boxed {y - 3 = 2(x + 4)}[/tex]

A subway train arrives at the station every 9 minutes. You have a doctor’s appointment near the station,
so you take the subway and arrive at 10:06. You are finished with your appointment at 11:44.
When will the next subway train arrive at the station?
The next train will arrive at

Answers

Answer:

THE swords men and archer men will take over

Step-by-step explanation:

The train will arrive at 11:45

If light travel at 3 • 10^8 meters per second. How far can light travel in one minute?

Write your answer in scientific notation.

Answers

Answer:

300,000,000 per minute

Step-by-step explanation:

3*10⁸

10⁸ = 100,000,000

3*100,000,000 = 300,000,000

2.550 gallons in 30 days?​

Answers

Answer:

85 gallons a day.

Step-by-step explanation:

that's if you mean 2,550 and how many gallons a day you fill a pool for example. but that's a guess for the question.

find the area hurry plz​

Answers

Answer:18

Step-by-step explanation: 6x3

the formula for area: parallelogram

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