A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.

Below is a sketch of the graph.
a) Write the inequality of the line.

b) Identify the ordered pair for point A.

c) Identify the ordered pair for point B.

d) State which direction they should shade and why that makes sense in context.

A Band Is Playing At An Auditorium With Floor Seats And Balcony Seats. The Band Wants To Sell The Floor

Answers

Answer 1

Answer:

Step-by-step explanation:

Lets denote number of floor tickets by x and

Lets denote number of balcony tickets by y as shown in the figure in the question

so, floor tickets are sold for $15 each which means number of x tickets would be sold by $15 multiplied by x which means 15x and balcony tickets are sold for $12 each which means number of y tickets would be sold by $12 multiplied by y which means 12y furthermore it says they want to make at least $3000 which would mean they want to make at least $3000 or higher meaning ≥3000 so the inequality would be

a) [tex]15x+12y\geq 3000[/tex]

b) The ordered pair A we can see that A is the y-intercept which means the point A can also be written as (0 , y) so we put this point into our equation

15x + 12y = 3000 which is the boundary line. So here goes,

[tex]15x+12y=3000\\15(0)+12(y)=3000\\12y=3000\\y=3000/12\\y=250\\[/tex]

so our y-intercept is 250 which means Point A is (0 , 250)

c) They should  shade the area above the boundary line because in this context the band that is playing wants to make at least $3000 which means they want to make more than $3000 . So when a ≥ sign appear we shade the area above the boundary line and when the ≤ sign appears we shade the area below the boundary line. If it were in the question the bands wants to make at most $3000 then the ≤ would appear.

I have attached a graph to clearly visualize the solution as well.

A Band Is Playing At An Auditorium With Floor Seats And Balcony Seats. The Band Wants To Sell The Floor

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How far is the train from its destination?
How long does the train travel when it finally reaches its destination? (Hint: when you reach your destination, that equals 0 miles? I need help

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It woukd be pretty far ngl

Type the missing numbers in this sequence

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Answer:

34 then 42

Step-by-step explanation:

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what is the value of -2 1/6 - 1 1/4 + 1 3/4

Answers

Answer:

Step-by-step explanation:

-2 1/6-1 1/4 +1 3/4

[tex]=-\frac{13}{6} -\frac{5}{4} +\frac{7}{4} \\(L.C.M. ~of ~6,4,4=12)\\=\frac{-26-15+21}{12} \\=-\frac{20}{12}\\=-\frac{5}{3} \\=-1 \frac{2}{3}[/tex]

What value of x is in the solution set of 2(3x – 1) > 4x – 6?
It could only be the following :
A. -10
B. -5
C. -1
D. -3

Answers

Answer:

-1

Step-by-step explanation:

Given the equation :

2(3x – 1) > 4x – 6

Open the bracket :

6x - 2 > 4x - 6

Collect like terms

6x - 4x > - 6 + 2

2x > - 4

Divide both sides by 2

2x /2 > - 4/2

x > - 2

Since x > - 2

-10, - 5, - 3 are all < - 2

Hence, the only option greater than - 2 is - 1

A candle burned at a steady rate. After 33 minutes, the candle was 11.2 inches tall. Eighteen minutes later, it was 10.75 inches tall. Use an equation in point-slope form to determine the height of the candle after 2 hours. Round the answer to the tenth place if necessary

Answers

Answer:

9.025 inches

Step-by-step explanation:

Let the length be represented by:

[tex]L = mt+L_0[/tex]

Where [tex]L[/tex] is the length of candle at time [tex]t[/tex]

[tex]m[/tex] is the rate at which the candle is burning.

And [tex]L_0[/tex] is the initial length of the candle.

As per the question statement, let us put the given values in the equation.

[tex]11.2 = m\times 33 + L_0 .... (1)\\10.75 = m\times 51+L_0 ..... (2)[/tex]

Subtracting (1) from (2):

[tex]0.45 = -18m\\\Rightarrow m = -0.025[/tex]

Putting the value of [tex]m[/tex] in the equation (1):

[tex]11.2 = -0.025 \times 33+L_0\\\Rightarrow L_0 = 12.025[/tex]

Therefore, the equation becomes:

[tex]L = -0.025t + 12.025[/tex]

Now, we have to find the height of candle after 2 hours.

2 hours mean 120 minutes.

[tex]L = -0.025 \times 120 + 12.025\\\Rightarrow L = 9.025\ inches[/tex]

Therefore, the height of candle is 9.025 inches.

Which of the changes would keep the hanger in balabce? Select all that apply. (Answers in screenshot)

Answers

Answer: Add two circles to the left and a square to the right

Step-by-step explanation:

Mary has 2 1/3 yards of fabric.



She wants to cut the fabric into 1/6 yard strips.

Answers

Answer:

so what should we do it is incomplete answer

Step-by-step explanation:

42

Answer:

14

Step-by-step explanation:if she cut the pices into 1/6 pices she would have 14 of them so the answer is 14.


You bought 5 chocolate bars and 8 blow pops for $23.25. Your sister bought 2 chocolate bars and 13 blow pops for $21.55. How much did each chocolate
bar cost? Each chocolate bar cost?

Answers

Answer:

Cost of each chocolate bar  = $2.65

Cost of each blow pop  = $1.25

Step-by-step explanation:

Let x = Cost of chocolate bar

y= Cost of blow pops

We can make system of equations and find value of x and y

You bought 5 chocolate bars and 8 blow pops for $23.25.[tex]5x+8y=23.25[/tex]

Your sister bought 2 chocolate bars and 13 blow pops for $21.55. [tex]2x+13y=21.55[/tex]

Let:

[tex]5x+8y=23.25--eq(1)\\2x+13y=--eq(2)[/tex]

Multiply eq(1) with 2 and eq(2) with 5 and subtract

[tex]10x+16y=46.5\\10x+65y=107.75\\- \ \ \ - \ \ \ \ \ \ - \\------\\-49y=-61.25\\y=\frac{-61.25}{-49} \\y=1.25[/tex]

So, value of y = 1.25

Putting value of y in eq(1) to find value of x

[tex]5x+8y=23.25\\5x+8(1.25)=23.25\\5x+10=23.25\\5x=23.25-10\\5x=13.25\\x=13.25/5\\x=2.65[/tex]

Value of x = 2.65

So, Cost of each chocolate bar = x = $2.65

Cost of each blow pop = y = $1.25

Twenty seconds after a plane in the air show- dives, it is 300 feet from where it begin. At what rate is the plane diving ​

Answers

Answer:

15 feets per second

Step-by-step explanation:

Given that:

Distance traveled by plane = 300 feets

Time taken by plane to travel such distance = 20 seconds

Rate at which the plane is diving is obtained thus :

Distance / time

= 300 feets / 20 seconds

= 15 feets / second

Hence, the plane is diving at a rate of 15 feets per second.

PLEASE ANSWER what is the solution to -10k +1 <-99 or 10-8k<42

Answers

Answer:

Ummmm... Both?

Step-by-step explanation:

66k+9 OR 3(22K+3)

Answer:

k>10

k>-4

Step-by-step explanation:

-10k<-100

k>10

you flip the sign when dividing by a negative

-8k<32

k>-4

The state fair charges $14 for admission. Each ride costs $6.
What is the function that relates the amount spent, S, to the number of rides, r?

Answers

Answer:

S = 6r + 14

Step-by-step explanation:

14 is the intercept(which wont increase), and 6 is the slope which will increase with every ride

What is angle U?

A) 129
B) 42
C) 34
D) 43

Answers

Step-by-step explanation:

4x+2+95=-7+17x

104=13x

x=8

for angle U=34 degrees

the answer is C

14x15 in area model i need help

Answers

Answer:

210

14x15=210

Step-by-step explanation:

14x15 =210

Bridget purchased 3 pairs of shoes online. The total bill of $126.81 included a $7.50 shipping charge and 6% tax on the total purchase. If the shoes that Bridget purchased were all priced the same, how much did each pair of shoes cost

Answers

Answer:

$37.

Step-by-step explanation:

Firstly, let's set the price of each pair of shoe to be x.

Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.

Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.

Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5) [tex]\cdot[/tex] 106%.

Since the whole bill foots to a total of $126.81, we can set the final equation to be:

[tex](3x + 7.5) \cdot 106\% = $126.81[/tex]

[tex](3x + 7.5) \cdot \frac{106}{100} = $126.81[/tex]

[tex]3x + 7.5 = $126.81 \cdot \frac {50}{53}[/tex]

[tex]3x = $119.6 - 7.5[/tex]

[tex]3x = 112.1[/tex]

[tex]x \approx \$37[/tex]

Hope this helped!

Selec*t the shape bel*ow that has exactl*y two lines of symmetry as well as 180 rotation symmetry.
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-Parallelogram
-Rectangle
-Square
-Regular Hexagon

Answers

2 and 3 are the correct ones

What is the sign of 3 x y 3xy3, x, y when x > 0 x>0x, is greater than, 0 and y < 0 y<0

Answers

Answer:

The sign is negative

Step-by-step explanation:

Given

[tex]Expression = 3xy[/tex]

[tex]x > 0[/tex]

[tex]y<0[/tex]

Required

Determine the sign

The expression can be split into 3 factors

[tex](3) (x) (y)[/tex]

If x > 0 then x is positive and If y < 0 then y is negative

So, the expression becomes:

[tex](+3) (+x) (-y)[/tex]

Leave only signs

[tex](+) (+) (-)[/tex]

[tex]+ * + = -[/tex]

So, we have:

[tex](+*+) (-)[/tex]

[tex](+) (-)[/tex]

[tex]+ * - = -[/tex]

So, we have:

[tex](+) (-) = -[/tex]

Hence, the sign of the expression is negative

Take for instance;

[tex]x = 2[/tex]

[tex]y = -4[/tex]

The expression would be:

[tex]3 *2 * - 4 =-24[/tex] -- negative

Please help me fill in the blank:(
for brainiest

Answers

-2.84 what grade are you in?

Find the area of the figure below

Answers

Answer: 29

Step-by-step explanatio?

Solve for x. 1/2x + 18 = 1/4x - 6

Answers

Answer:

x = -96

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

1/2x + 18 = 1/4x - 6

Step 2: Solve for x

Subtract 1/4x on both sides:                    1/4x + 18 = -6Subtract 18 on both sides:                       1/4x = -24Divide 1/4 on both sides:                          x = -96

I’ll give you brainlest if you answer this correctly

Answers

No give it to now lol

Answer:

y = -5x

Step-by-step explanation:

A direction variation equation is of the form

y = kx

The only equation of this form is

y = -5x  where the constant of variation is -5

Divide. Round to the nearest tenth

.16 divided by .03220

Answers

Answer

.16/.03220 is 4.96894409938   rounded= 5.0

Step-by-step explanation:

It is going to be 5 when you print it

5x+7/2=3/2x-4 can someone help plsssss​

Answers


5x- 3/2x= -4 -7/2
10/2 x - 3/2x= -8/2 -7/2
7/2x= -15/2
7x= -15
x= -15/7
5x+7. 3 ---=---- x-4 2. 2

Simplified answer;x=-15/7.

natalie is baking cupcakes. Each cupcake needs ½ a cup of sugar. How many cupcakes can she make if she has 7 ⅓ cups of sugar? ​

Answers

Answer: 14 cupcakes

Step-by-step explanation:

sugar available is 7.33 cups, the 1/3 cup of sugar is no use due to the fact that you need 1/2 cup of sugar to make a single cupcake.

for Spanish readers: el azúcar disponible es de 7.33 tazas, el 1/3 de taza de azúcar es inútil debido al hecho de que necesitas 1/2 taza de azúcar para hacer un solo cupcake.

for French readers:

le sucre disponible est de 7,33 tasses, 1/3 de tasse de sucre n'est pas utile car vous avez besoin de 1/2 tasse de sucre pour faire un seul petit gâteau.

hopefully this helped! :D

Answer:

one cupcake= 1/2 cup of sugar

Total sugar availability: 7 and 1/3 or 7.33

Now go ahead and divide 7.33/.50

Notice that for every cup of sugar you can make exactly 2 cupcakes

Therefore you can make a total or 7*2=14 cupcakes

You are unable to utilize the rest of the 1/3 cup because you need 1/2 to make a singular cupcake

Please rate brainlist and give a positive review.

Martin is seating people in the cars of a roller coaster. Each car can seat 8 people. Six of the roller coaster cars are yellow and nine of the roller coaster cars are green. People will be randomly seated in the roller coaster cars. What is the probability that the first person will be seated in a yellow roller coaster car?

Answers

Answer:

The probability is 2/5

Step-by-step explanation:

Here, we want to calculate the probability that the first person will sit in a yellow roller coaster car

The number of cars to select from is 6 + 9 = 15 cars

The number of yellow cars is 6

So the probability that the first person selects a yellow roller coaster car to seat is 6/15 = 2/5

(-2,5), (-1,8), (0,6), (1,6), (2,7) is function or not a function help

Answers

It is a function because the x doesn’t repeat

Evaluate the expression 3r^2 if r = 1/6.

Answers

Answer:

0.08333

Step-by-step explanation:

3(1/6)^2

1/6=0.1666

1/6^2=0.02777

3*0.02777=0.08333

Answer:

1/12

Step-by-step explanation:

This is the answer because:

1) 1/6^2 = 1/36

2) 1/36 x 3 = 3/36 = 1/12 ↔ 3 ÷ 3 = 1 & 36 ÷ 3 = 12 = 1/12

Therefore, the answer is 1/12.

Hope this helps! :D

Melissa works for a florist. She used her employee discount to purchase 10 roses at $1.00 each. If melissa saved $4.00 by using her employee discount, what is the regular price if one rose purchased from the florist?

Answers

Answer: $1.4

Step-by-step explanation:

Given that:

Discounted price roses = $1

Amount saved = $4

Regular price - discounted price = amount saved

x - 10(1) = 4

x - 10 = 4

x = 4 + 10

x = $14

Regular price of 10 roses = $14

Regular price per rose = $14 / 10 = $1.4

what is the perimeter of a rectangle with length of 15.2 inches and a width of 5.05​

Answers

Answer:

40.5 inches

Step-by-step explanation:

15.2*2+5.05*2=30.4+10.1=40.5

Anna is making crumble.
She makes the crumble from flour, sugar and butter.
Anna needs twice as much butter as sugar.
She needs one and a half times as much flour as butter.
Anna is going to make 900g of crumble.
Calculate the amount of sugar Anna needs.

Answers

Create an algebraic equation.

Everything is = 900g

Create what you trying to find as: x.

Sugar = x
You have twice as much butter as sugar,so:
Butter = 2x
You have 1.5x as much flour as butter,so:
Flour = 3x

900g = x + 2x + 3x
900g = 6x

You want to find sugar (x). So divide by 6

150g = x


She needs 150g of sugar.

900g

Help is this correct !!!??

Answers

Answer:

Yes

Step-by-step explanation:

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