The drama club is selling tickets to their play to raise money for the
show's expenses. Each student ticket sells for $6 and each adult ticket
sells for $11. The auditorium can hold at most 100 people. The drama
club must make no less than $770 from ticket sales to cover the show's
costs. If x represents the number of student tickets sold and y
represents the number of adult tickets sold, write and solve a system of
inequalities graphically and determine one possible solution.

Answers

Answer 1

Answer:

Student tickets sold 66

Adult tickets sold 34

Step-by-step explanation:

x=6.     y=11

x+y=100. Multiply by -6

6x+11y=770 Then combine terms

5y=170 Divide 5 on both sides

y=34 Then do 100-34

x=66

This is the solution for the club to not earn anything but able to cover the fees.

The inequality form can be written as,

total revenue=66x+34y in this case total revenue=0


Related Questions

is this right? you’re supposed to find FH

Answers

Answer:

FH=7

Step-by-step explanation:

If the whole thing FG is 22 and HG is 15 you subtract 22-15 and get 7

Step-by-step explanation:

[tex]\huge\bold\purple{ 7 }[/tex]

The value of y is directly proportional to the value of x. If y = 35 when x = 140, what is the value of y when x = 70?

Answers

Answer:

y = 17.5

Step-by-step explanation:

Use the direct proportion equation, y = kx

Plug in the x and y values to solve for k

y = kx

35 = k(140)

0.25 = k

Then, plug in the k value and given x value into the equation, and solve for y

y = kx

y = 0.25(70)

y = 17.5

Totsakan and Lea each improved their yards by planting hostas and geraniums. They bought their supplies from the same store. Totsakan spent $178 on 14 hostas and 12 geraniums. Lea spent $71 on 7 hostas and 4 geraniums. What is the cost of one hosta and the cost of one geranium?

Answers

Answer:

The cost of one hosts is $5 and the coat of one geranium is $9

Step-by-step explanation:

Let the cost of one hosta be x

Let the cost of one geranium be y

If Totsakan spent $178 on 14 hostas and 12 geraniums, then the expression to represent this statement will be;

14x+12y = 178

7x+6y = 89 .... 1

Also if Lea spent $71 on 7 hostas and 4 geraniums, the the expression that represent the statement is;

7x+4y = 71..... 2

Subtract equation 1 from 2:

(7x-7x)+(6y-4y) =89-71

0+2y = 18

2y = 18

y = 18/2

y = 9

Substitute y = 9 into equation 1:

7x+6(9) = 89

7x +54 = 89

7x = 89-54

7x = 35

x = 35/7

x = 5

Therefore the cost of one hosts is $5 and the coat of one geranium is $9

What is the value of n 10/2 = 4/n

1. 20

2. 35

3. 25

4. 30

Answers

Answer:

20

Step-by-step explanation:

We can simplify 10/2 = 5

5 = n/4

Multiply each side by 4

5*4 = n/4*4

20 =n

Answer: n = 20

Explanation: To solve for n in this proportion,

we simply use the means-extremes property.

Since 10/2 = n/4, we know that the product of the extremes,

(10)(4), equals the product of the means, (2)(n).

So we know that (10)(4) or 40 equals (2)(n) or 2n.

Dividing both sides by 2, 20 = n.

The ingredients are doubled in the large Totally Turkey Sandwich. On Wednesday, three times as many customers ordered the regular sandwich as the large sandwich. If 27 customers ordered the regular sandwich, how many total slices of turkey were used to make the sandwiches that day?

Answers

Answer:

45 slices of turkey used

Step-by-step explanation:

In order to figure out this problem we first need to calculate the total amount of sandwiches that were ordered. Since 27 regular sandwiches were ordered and we know that three times as many customers ordered the regular sandwich as the large sandwich. Then we simply divide 27 by 3 to find out how many large sandwiches were ordered.

27 / 3 = 9 large sandwiches.

Now, assuming that each regular sandwich only takes one slice of turkey, we can multiply 9 by 2 since each large sandwich takes double the slices and add that to 27 to calculate the total number of slices used in all of the sandwiches for that day.

(9*2) + 27 = s

18 + 27 = s

45 = s

There were a total of 45 slices of turkey used.

the graph of f(x) = x^2 has been shifted into the form f(x) = (x-h)^2+k
What is the value of h?

Answers

Answer:

h=3

Step-by-step explanation:

Find the distance between the following two points:
(-5,0) and (-2,-1)

Answers

Answer:

It would be 3.16 units

50 out of 125 eighth graders took summer school. what is the ratio eighth graders who took summer school to the total number of eighth grader

Answers

Answer:

1 : 2.5

Step-by-step explanation:

All you have to do is 125/50 to get 2.5. So that means for every 2.5 eighth grader there is 1 eighth grader in summer school.

Hope this helped!!

I HAVE 5 MINUTES PLEASE HELP ! ( slope )

Answers

Answer:

1/2x+b=y

1/2*4+b=3

2+b=3

b=1

1/2x+1=y

Step-by-step explanation:

Answer: Graph (4,3) like it says, then go up 1 and right 2. That would be (6,4). You can also go down 1 and left 2. That would be (2,3)

Step-by-step explanation: Your welcome :)

Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that is 135 degrees. Angle C A B is 75 degrees.
What is m∠ABC?

Answers

abc 78 equal meters degree

Answer:

78

Step-by-step explanation:

PLSS HELP
A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to determine b2, the length in inches of the second base of the trapezoid.



12(4.5+b2)(6)=21



What is the length, in inches, of the second base of the trapezoid?

Answers

Answer:

The second base of the trapezoid b2 is 2.5 inches

Step-by-step explanation:

Here, we want to calculate the second base of the trapezoid.

Mathematically, the area of a trapezoid can be given as;

A = 1/2(a + b) h

where a and b represents the parallel bases and h is the height of the trapezoid

so this, we have from the question

1/2(4.5 + b2) * 6 = 21

3(4.5 + b2) = 21

divide both sides by 3

4.5 + b2 = 7

b2 = 7-4.5

b2 = 2.5 inches

do I need to multiple

Answers

uhm ya kinda i guess

Answer:

Um,  Yes i think so.

Step-by-step explanation:

is 0.762050555854466 rational or irrational and why

Answers

Answer:

No

Step-by-step explanation:

This is because it is a forever ongoing number. Here is an examples 7, pie, 5, and 2

tell me if this helped pls mark brainliest

If you are riding your bike west to your friend’s house, and you ride the 1.25 miles in 5 minutes, what is your velocity, in miles per hour?

Answers

Answer:

v= 15miles/hr (west)

Step-by-step explanation:

This is physics, so I'll use the most common formula. v=d/t. Convert 5 mins to an hour. 5min/60min = 1/12hr.

v= 1.25 miles / 1/12hr

v= 15miles/hr (west). Don't forget the right arrow on the v.

Answer:

15miles/hr (west)

Step-by-step explanation:

Edi plays 1/4 of a song in 1/8 of a minute how many minutes will he need to play a full song

Answers

Answer:

Let's see what to do buddy...

Step-by-step explanation:

[tex]first \: \: \: \frac{1}{4} \: \: \:of \:a \: song \: needs \: \frac{1}{8} \: \: minute. \\ \\ second \: \: \: \frac{1}{4} \: \: of \: a \: song \: needs \: \frac{1}{8} \: minute \: too. \\ \\ also \: the \: third \: and \: fourth \: \: \: \frac{1}{4} \: \: \: of \: a \: song \: need \: \frac{1}{8} \: minute \: . \\ \\ so \: we \: have \: completly \: have \: 4 \times \frac{1}{8} \\ \\ which \: means \: edi \: needs \: 4 \times \frac{1}{8} = \frac{4}{8} = \frac{1}{2} \: minute \: to \: play \: all \: the \: song. [/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

The water level at Champion Creek Lake is at 2127.96 feet , which is above leaks for measurement officials have decided to drain the leak at the rate of 3.4 feet per day until they goes to 2,083 feet that lower represents a full lake. How many days will it take?

Answers

beautiful. he conbeg Hu king

The marching band walks 2/15 mile in 2.5 min how many minutes will it take to complete 1 mile

Answers

22.5 is your answer to complete one mile

If a train goes 110 miles per hour, how many miles will the train go in one day

Answers

Answer:

2640 miles

Step-by-step explanation:

If the train goes 110 miles per hour, and there are 24 hours in a day, and you multiply them together, you get 2640, hope this helps!

Answer:

The train will go 2,640 miles in one day

Step-by-step explanation:

110*24 = 2,640

granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories. The equation LaTeX: 4c+5=27 represents the relationship between these quantities.

Answers

Answer:

5 1/2

Step-by-step explanation:

The calories contained are from grams of carbohydrates and other ingredients

One gram of carbohydrate contains 4 calories

The equation 4c + 5 = 27 represents the relationship between these quantities.

1. 5 from the equation represent calories from other ingredients

2. Neither 8 nor 3 is the solution to the equation

4c + 5 = 27

When 8 is the solution

4(8)+5=27

32+5=27

37=27

When 3 is the solution

4(3)+5=27

12+5=27

17=27

Neither 8 nor 3 is the solution to the equation because 8 gives a higher calories in the granola bite and 3 gives a lower calories in the granola bite.

3. Solution to the equation

4c + 5 = 27

4c= 27-5

4c = 22

Divide both sides by 4

c=22/4

=5 2/4

=5 1/2

The solution to the equation is 5 1/2

I need help on this​

Answers

Answer:

13.83

Step-by-step explanation:

12*106/92=13.82

Answer:

13.83

Step-by-step explanation:

If y varies inversely it has equation:

y = k/x

We have

y = 106, x = 12

Then, finding the value of k:

106 = k/12k = 106*12= 1272

For x = 92

y = 1272/92 = 13.83 rounded

The last option is correct

- 10x - y = 27
- 4x - y = 9
Find the solution of the system equation.

Answers

X=-6
Y=-15

I think it is correct
X=-6
Y=-15


Explanation

Choose the expressions below that are equivalent to the following algebraic expression.
2(5x-3) + 4x

Select ALL that apply.
7x-5+ 4x
-6 + 14x
10x - 6+ 4x
11x-5
-5 + 11x
14x-5


Please help

Answers

Answer:

10x -6 +4x & -6 + 14x are equivalent to the algebraic Expression : 2(5x -3) + 4x

Step-by-step explanation:

First, you should Simplify the expression.

2(5x -3) + 4x = 10x -6 +4x <-- Here we distributed. We see this expression is an option, so you would choose that.

We Contiue:

10x -6 + 4x =  -6 + 14x <-- here we added the like terms, 10x and 4 x

Next:

-6x + 14 = -2.3. <-- here we got our answer, but our choices are only expressions, so this is just an extra step.

Answer

-6 + 14x

10x - 6+ 4x

Step-by-step explanation:

1 pts
Find the value of x
30x
2
29x + 4
Pls answer ASAP

Answers

Answer:

x = 4

Step-by-step explanation:

30x = 29x + 4

subtract 29x from both sides

x = 4

A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?

Answers

Answer:

y = -3/4x - 3

Step-by-step explanation:

...................

Answer:

A

Step-by-step explanation:

hope this helps :)

Asia woke up late. It is 5:45 a.M. And is trying to decide if she has enough time to catch the bus. If it takes her 5 minutes to throw on an outfit, a minimum of twice as long to do her hair and make-up, and eight minutes longer than that to walk to the bus stop. Her bus driver regularly arrives at 6:15 am. Will she make it?

Answers

Answer:

Step-by-step explanation:

If Asia woke up by 5:45am and her bus regularly arrives at 6:15 am, the the total amount of time Asia needs to finish up to meet the bus is time within this interval of time i.e 30mintes.

Total time taken to dress up:

Time taken to throw an outfit = 5minutes

Time taken to do her hair and make up = 2(5) = 10 minutes

Time to walk to bus stop = 5+8 = 13minutes(8 minutes longer)

Total time she took to finish up and get to the bus = 5+10+13 = 28 minutes

Since the time used by Asia is less than the 30 minutes expected of her hence she will meet the bus

Answer:

She would be 3 minutes late.

Step-by-step explanation:

The time difference between 5:45 am and 6:15 am = 30 minutes

If it takes her 5 minutes to throw on an outfit = 5 minutes

A minimum of twice as long to do her hair and make-up = ≤ 5 × 2

≤ 10 minutes

Eight minutes longer than that to walk to the bus stop.

= 8 minutes longer than how long it takes her to do her hair and makeup

= 10 + 8

= 18 minutes

Total number of times it takes her to make it to the busstop

=( 5 + 10 + 18)minutes

= 33 minutes

Therefore, she will not make it because she would be 3 minutes late.

2. What is the difference between 4 and -5?

Answers

Answer: 9

Step-by-step explanation: 4 - (-5) = 9

explain why
a negative divided by a negative is a positive

Answers

Answer:

it's law

Step-by-step explanation:

i think it is law of mathematics. isn't it?

The negative signs gets cancelled therefore giving a positive answer . Pls mark me as the brainliest answer

Is it possible for a system of three linear inequalities to have a solution consisting of a
single point on the coordinate plane? If so, give an example. If not, explain why.​

Answers

Answer:

no beacuse of the x and y coordinate which is two points

Step-by-step explanation:



As of May 1, 2016. Lynne's social media account has 1,000 followers, and the number of her followers is increasing by 100 per day. Dan's social media account has 200 followers, and the number

of his followers is doubling every two days.

Answers

Answer:

Lynne's social media account has 1,000 followers. Her followers are increasing by 100 per day. In the next 10 days her followers will reach to 2,000 followers.

Dan's social media account has 200 followers and his number of followers are doubled after every 2 days. This means he will have 6400 followers after 10 days.

Step-by-step explanation:

Dan's social media account is gaining speedy increase in followers as his followers are doubling every two days. Lynne's social media account is gaining 100 followers increase every day. This is slower than the follower that Dan is gaining.

if i had 4 pounds of sugar for $2 how much for 1 lb

Answers

Answer:

0.5

Step-by-step explanation:

4 pounds ÷$2=2

that means...

1 pound÷$2=0.5

your welcome lol.

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