A group of 12 friends bought tickets for an afternoon concert. However, not all of the friends were able to sit together. Tickets for floor seats cost $45 each, and tickets for tier seats cost $60 each. The total cost of the tickets was $585. How many tickets for tier seats did they purchase?

Answers

Answer 1

Answer:

They purchased 3 tickets for tier seats.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=12 (1)

45x+60y=585 (2), where

x is the number of tickets for floor seats

y is the number of tickets for tier seats

First, you can solve for x in (1):

x=12-y (3)

Next, you can replace (3) in (2):

45(12-y)+60y=585

540-45y+60y=585

15y=585-540

15y=45

y=45/15

y=3

Now, you can replace the value of y in (3) to find x:

x=12-3

x=9

According to this, the answer is that they purchased 3 tickets for tier seats.


Related Questions

¿que son los grafos triviales?

Answers

Answer:

la respuesta

Step-by-step explanation:

perdon si no es

After driving 120 miles you completed 3/4 of the trip. How long was the entire trip

Answers

Answer:

160

Step-by-step explanation:

120/3 = 40

40 x 4 = 160

May I have brainliest please? :)

120/ 3 = 40
120 + 40 = 160 miles

Corina pays $5.00 for materials to make pillows. She makes 3 pillows and sells 2 for $10.00 each and 1 for 5.00 what is corinne’s profit.

Answers

Answer:

$20

Step-by-step explanation:

She has 5 dollars originally, she sells 2 pillows for $10 each that = $20 and then she sold one for $5 but she spent a original $5 on material so $25 - $5 = $20

A recipe for chicken marinade says, "Mix 3 parts oil with 2 parts soy sauce and 1 part orange juice." If you need 42 cups of marinade in all, how much of each ingredient should you use?

Answers

Answer:

We will use;

21 parts oil

14 parts soy sauce

7 parts Orange

Step-by-step explanation:

We can have all of these as a ratio

That would be;

3 + 2 + 1 = 6

For oil

3/6 * 42 = 21 parts of oil

For Soy sauce

= 2/6 * 42 = 14 parts soy sauce

For Orange

= 1/6 * 42 = 7 parts orange juice

Answer: 7 14 21

Step-by-step explanation:

6x___=42 you fill in the blanks

D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF? A. 30° B. 45° C. 60° D. 90°

Answers

D hope this helps man

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz​

Answers

Answer:

67

Step-by-step explanation:

cause math

Answer:

It is 67

Step-by-step explanation:

what is the measure of the larger angle in this degree?​

Answers

Answer:

A straight line is equivalent to 180 degrees with that in mind,

(2.4x)+(9.6x)=180
2.4x+9.6x=180
12x=180
12x/12=180/12
x=15

Now to find the measurement of the larger angle,

9.6*15=144
Just in case you need it
180-144=36
Which is your smaller measurement.

What's the largest odd number you can make using all four digits 4, 5, 3, 6

Answers

Answer:

6543

Step-by-step explanation:

Not much to explain lol

Required Answer:-

Here,

Odd numbers are 3 and 5.

5>3

The largest odd number =6543

what is the reciprocal of 11

Answers

the answer should be 0.09

Answer:

[tex]\frac{1}{11}[/tex]

Step-by-step explanation:

11 is [tex]\frac{11}{1\\}[/tex] so to get the reciprocal just flip it to [tex]\frac{1}{11}[/tex]

A random sample of size 1,000 is taken from a population where p = .20.

Find P( < .18).

A. .9429

B. .0571

C. .2643

D. .0793

Answers

The answer is
A: .9429 Z =.22-.20

The value of P( < 0.18) is 0.057.

What is p value?

The probability, for a particular statistical model, that the statistical summary would be equal to or more extreme than the actual observed results if the null hypothesis were true is known as the P value.

Given:

Sample Size = 1000

and, p= 0.20

So, P( P' < 0.18)

= P ( P'- P / √ P(1- P)/ n < 0.18 - 0.20 / √ 0.2 (1- 0.2)/ 1000 )

= P ( P'- P / √ P(1- P)/ n  < -0.02/ 0.0126)

=  P ( P'- P / √ P(1- P)/ n  < - 1.582)

= P( z < - 1.582)

= 0.056939

= 0.057

Learn more about p- value here:

https://brainly.com/question/14790912

#SPJ5

What is the result when the following equation is solved? 4/5x=1

Answers

Answer:

Step-by-step explanation: 0.8

You find a shirt that costs 24.67 for some clothes. To get ready for Black Friday there was a discount, and the discount was 32%. How much does it cost?

Made up question :D !!!

Answers

Answer:16.78

Step-by-step explanation:

in a certain code "VICTORY" is coded as "YLFWRUB", then how will "SUCCESS" be coded?​

Answers

Answer:

VXFFHVV

Step-by-step explanation:

PLS GIVE BRAINLIEST

How do you do these two questions?

Answers

Answer:

y(t) → 2 as t → ∞

dP/dt = P (P/1850 − 1) (1 − P/16000)

Step-by-step explanation:

The graph shows how dy/dt changes as a function of y.

At t = 0, y = -0.5.

At y = -0.5, dy/dt > 0.  Therefore, y is increasing.

y continues to increases until y = 2.  At this point, dy/dt = 0, and changes signs from positive to negative, so y begins to decrease.  dy/dt then becomes positive again, and the cycle repeats.

So y approaches 2 as t approaches infinity.

dP/dt is negative when P < 1850.

dP/dt is positive when 1850 < P < 16,000.

dP/dt is negative when P > 16,000.

dP/dt is 0 when P is 0.

Therefore, dP/dt = P (P/1850 − 1) (1 − P/16000).

−3/4+(1/10÷2/5) plz hurry

Answers

Answer:

-.71

Step-by-step explanation:

-3/4+ ((1/10)/(2/5))

71 is the answer but not sure

A hiking trail down the side of Mt. Tom drops a vertical distance of 60 meters over a horizontal distance of 300 meters. What is the slope of the trail? Express your answer as a reduced fraction.

Answers

Answer:

Step-by-step explanation:

Slope of the trail is expressed as;

Slope = vertical distance/horizontal distance

Given

Vertical distance = 60metres

Horizontal distance= 300metres

Substitute

Slope = 60/300

Slope = 6×10/30×10

Slope = 6/30

Slope = 6×1/6×5

Slope = 1/5

Hence the slope of the trail in reduced fraction is 1/5

Part A: What is the measure of angle x? Show your work. (5 points)

Please hurry I'll give brainlest.
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 64 degrees, angle QPR is equal to x, angle PRD is equal to 110 degrees.

Answers

Answer:The missing part of ∠R = 70°. Hence, you can find the missing ∠R in the triangle (70°). 180°-110°=70°

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

I hope this helps!

Step-by-step explanation:

Answer:

Answer:The missing part of ∠R = 70°. Hence, you can find the missing ∠R in the triangle (70°). 180°-110°=70°

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

Sarah earns $9 an hour at a Mort’s Pizza Palace, working 20 hours per week. She spends $3 each week for snacks at work, but saves all her other earnings. How many hours must Sarah work to buy a new phone that costs $150?

Answers

Answer:

15h

Step-by-step explanation:

Answer:

17 hours

Step-by-step explanation:

she needs 150, she spends 3 and she makes 9 per hour

153/9 = 17



What is the slope of the line that runs through points (-7,-20) and (12,18)?  Write the equation of that line.

Answers

Answer:

2

Step-by-step explanation:

-20 - 18 = -38

-7 - 12 = -19

-38/-19 = 2

Answer:

The slope is 2 which means the equation would be y=2x.

Step-by-step explanation:

An airplane is preparing to land at an airport. It is 44,8000 feet above the ground and is descending at the rate of 3,100 feet per minute. At the same​ airport, another airplane is taking off and will ascend at the rate of 2,500 feet per minute. When will the two airplanes be at the same altitude and what will that altitude​ be? Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation.

Answers

Answer:

Time: 8 minutes

Altitude: 20000ft

Method 1 is easiest

Method 3 is easiest

Step-by-step explanation:

Given

Airplane 1:

[tex]Height = 44800 ft[/tex]

[tex]Descending\ Rate = 3100ft/min[/tex]

Airplane 2:

[tex]Ascending\ Rate = 2500ft/min[/tex]

Required

Determine when both planes would be at the same altitude?

Let the minute be represented by m

For Airplane 1, Its altitude at any height h is:

[tex]Airplane\ 1 = Height - Descending\ Rate * m[/tex]

It is minus (-) because the airplane is descending

[tex]Airplane\ 1 = 44800 - 3100 * m[/tex]

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

For Airplane 2, Its altitude at any height h is:

[tex]Airplane\ 2 = Ascending\ Rate * m[/tex]

[tex]Airplane\ 2 = 2500 * m[/tex]

[tex]Airplane\ 2 = 2500m[/tex]

Method 1:

For both heights to be equal, we have that:

[tex]Airplane\ 1 = Airplane\ 2[/tex]

This gives:

[tex]44800 - 3100m = 2500m[/tex]

Collect Like Terms

[tex]44800 = 2500m + 3100m[/tex]

[tex]44800 = 5600m[/tex]

[tex]5600m = 44800[/tex]

[tex]m = 44800/5600[/tex]

[tex]m = 8\ min[/tex]

Hence, the time they will be at the same altitude is 8 minutes

Substitute 8 for m in

[tex]Airplane\ 2 = 2500m[/tex]

[tex]Airplane\ 2 = 2500 * 8[/tex]

[tex]Airplane\ 2 = 20000\ ft[/tex]

Hence, they will be at the same altitude at 20000ft

Method 2:

We have that:

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 2 = 2500m[/tex]

Since they are to be at the same altitude, then

The difference in their altitude must be 0

i.e.

[tex]Airplane\ 1 - Airplane\ 2 = 0[/tex]

This gives

[tex]44800 - 3100m - 2500m = 0[/tex]

[tex]44800 - 5600m = 0[/tex]

Collect Like Terms

[tex]5600m = 44800[/tex]

[tex]m = 44800/5600[/tex]

[tex]m = 8\ min[/tex]

Substitute 8 for m in

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 1 = 44800 - 3100 * 8[/tex]

[tex]Airplane\ 1 = 44800 - 24800[/tex]

[tex]Airplane\ 1 = 20000\ ft[/tex]

Method 3:

We have that:

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 2 = 2500m[/tex]

Since they are to be at the same altitude, then

The ratio of their altitudes must be 1

i.e.

[tex]\frac{Airplane\ 1}{Airplane\ 2} = 1[/tex]

[tex]\frac{44800 - 3100m}{2500m} = 1[/tex]

Cross Multiply

[tex]44800 - 3100m = 1 * 2500m[/tex]

[tex]44800 - 3100m = 2500m[/tex]

Collect Like Terms

[tex]44800 = 2500m + 3100m[/tex]

[tex]44800 = 5600m[/tex]

[tex]5600m = 44800[/tex]

[tex]m = 44800/5600[/tex]

[tex]m = 8\ min[/tex]

Substitute 8 for m in

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 1 = 44800 - 3100 * 8[/tex]

[tex]Airplane\ 1 = 44800 - 24800[/tex]

[tex]Airplane\ 1 = 20000\ ft[/tex]

Hence;

Their altitudes must be 20000ft

Though the three methods applied uses the same logic at some point, the first method applied is still the easiest and it is a straight forward method that could be applied in solving the question.

Method 3 is the most difficult.

In a certain​ fraction, the denominator is less 7 than the numerator. If 3 is added to both the numerator and​ denominator, the resulting fraction is equal to 15/8
. Find the original fraction.

Answers

Answer:

original fraction =12/5

Step-by-step explanation:

let x = numerator

therefore

   x+3/x-7+3 =15/8

    x+3/x-4 =15/8

      8(x+3)=15(x-4)

      8x+24=15x-60

       84=7x

        84/7=x

        12=x

therefore original fraction = 12/5

Cleo and her family fished for 3 days and caught 100 fish between them. They caught 12 fish on day 2 and 16 fish on day 3. How many fish did they catch on the first day.

Which equation is correct.
12x + 16 = 100
12x + 16 = 100

x + 12 + 16 = 100
x + 12 + 16 = 100

16x + 12 = 100

Answers

Answer:

x + 12 + 16 = 100

72 fishes

Step-by-step explanation:

Given parameters:

Number of days fished  = 3days

Number of fishes caught = 100 fishes

Number of fish caught on day 2 = 12fishes

Number of fish caught on day 3  = 16fishes

Unknown:

Number of fish caught on the first day = ?

Solution:

Let the number of fishes caught on the first day  = x;

Total number of fishes caught  = No of fish on day 1 + No of fish on day 2 + number of fish on day 3

Insert the parameters and solve;

    100  = x + 12 + 16

     x  = 100 - 28  = 72fishes

There are 14 crayon and 30 markers in a pencil box. What is the ratio of crayon s to items in the pencil box?

Answers

Answer:

14 to 44

Step-by-step explanation:

14 + 30 = 44 (this number represents total items)

There are 14 crayons

Therefore the answer Is 14 to 44

Length of a rectangle is 8 inches and width of it is 3 inches. What is the area?

Answers

The answer is 24 inches

Answer:

24

Step-by-step explanation:

8 times 3=24

Which equation has the same solution as 4-2(x-5)=x-19
A. 2(x+5)=-8
B. 3(x-3)=9
C. x+2=2x-3
D. 3x-4=2x+7

Answers

So x=11
So 3/11=33-4=29 =2/11=22+7=29

Angle measures and segment lengths. Algebra Find the value of each variable.

Answers

(9)

x ° = 1/2 (130° - 30°) = 50°

(due to a theorem about intersecting secants/tangents)

(11) The labeled angle subtends a minor arc of meaure 120°, which means the larger arc has a measure of 360° - 120° = 240°. Then

x ° = 1/2 (240° - 120°) = 60°

(due to the same theorem)

(13) The labeling here is a bit confusing. I'm not sure what the 70° is referring to. It occurs to me that it might be info from a different exercise, so that y ° is the measure of the angle made by the tangent to the circle with a vertex of the pentagon, and x ° is the measure of each arc that passes over an edge of the pentagon.

Each arc makes up 1/5 of the circle's circumferece, so

x ° = 360°/5 = 72°

The pentagon is regular, so each of its interior angles have the same measure of 108°. (Why 108°? Each exterior angle measures 360°/5 = 72°, since the exterior angles sum to 360°. Interior and exterior angles are supplementary, so the interior angles measure 180° - 72° = 108° each.)

The angles formed by the tangent to the circle are supplementary, so that

y ° + 108° + y ° = 180°

2y ° = 72°

y ° = 36°

LCM of 9 18 and 99 is :

Answers

Step-by-step explanation:

[tex]\begin{array}{c|ccc}\cline {2-4} 2 & 9 ,& 18 ,& 99 \\ \cline {2-4} 3 & 9 & ,9 & ,11 \\ \cline {2-4} 3 & 3 ,& 3, & 11 \\ & 1, & 1 , & 11 \end {array}[/tex]

LCM=2×3×3×11=198

22 What is the circumference of the circle? Use 7 for yr. 35 cm 44 cm 55 cm​

Answers

Answer:

B) 55 cm

Step-by-step explanation:

it’s correct from EDGE

Can anyone teach mee..................... ​

Answers

Answer:

(i) The name of the part of the circle, OQ is a radius

(ii) The radius of the sector QOR is 21 cm

Step-by-step explanation:

The given figure is a sector of the circle O

∵ Any sector of a circle formed from 2 radii and an arc

∴ OQ is a radius

(i) The name of the part of the circle, OQ is a radius

The rule of the length of an arc of a circle is L = [tex]\frac{\alpha }{360}[/tex] × 2 π r, where

α is the angle of the sectorr is the radius of the circle

∵ The length of the arc QR is 22 cm

L = 22

∵ The measure of the angle of the arc is 60°

α = 60°

∵ π = [tex]\frac{22}{7}[/tex]

→ Substitute them in the rule above

∵ 22 = [tex]\frac{60}{360}[/tex] × 2 × [tex]\frac{22}{7}[/tex] × r

∴ 22 = [tex]\frac{22}{21}[/tex] r

→ Divide both sides by  [tex]\frac{22}{21}[/tex]

21 = r

(ii) The radius of the sector QOR is 21 cm

Give the slope between the points
(-2,4) (-8, 13)
Answer

Answers

Answer:

9/-6

Step-by-step explanation:

when you subtract (x2-x1) and (y2-y1) this is the answer you get.

Answer:

[tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

Use the point slope formula

[tex]Slope = m = \frac{y_2-y_1}{x_2-x_1} = \frac{13-4}{-2-(-8)} = \frac{9}{6} = \frac{9}{6} = \frac{3}{2}[/tex]

This is the difference between two points with the rise (change in y) over the run (change in x)

Sorry it took so long for so little my girlfriend was distracting me

Hope this helps :)

Other Questions
Graph the line that represents the equation pls Find the area of the shape below If (a,-7) is the solution to the equation 8a=-3b-5, what is a? Which individual would feature most prominently in a discussion of how Renaissance ideas spread to northern Europe?O Ren DescartesO Albrecht DrerO William HarveyO Niccol Machiavelliaaa pls help me Difference of Squares gives which complex factors for the expression x2 +3?A. (x+3)(x-WB)B. (x-3)(x-3)C. (x+3)(x-3)?D. (x+3)(x-31) can someone help me think about a person or event that deserves a tribute?? pointDaniel can mow lawns at a constant rate of 3/5 lawns/hour.How many lawns can Daniel mow in 10 hours?f1c96ca233d8e9261bd3d1e241 ad7c1d webm 158 KB~ObDaniel can mow 6 lawns in 10 hours.Daniel can mow 3 lawns in 10 hours,Daniel can mow 5 lawns in 10 hours. what's your view on molarity and law Dry ice is a form of carbon dioxide that sublimates at room temperature. At a Halloween party, some students noticed that the dry ice underwent a phase change. Which statement below best describes the change in the energy and physical characteristics of the molecules of carbon dioxide during this process?a: The molecules experienced a physical change from a gaseous state to a liquid state, releasing energy into the environment and reducing the molecular movement.b: The molecules experienced a chemical change as the carbon dioxide reacted with oxygen, which released oxygen gas into the environment and increased the molecular movement.c: The molecules experienced a physical change from a solid state to a gaseous state, which increased the molecular movement and the energy of the carbon dioxide molecules. d: The molecules experienced a chemical change from a liquid state to a solid state, which reduced the amount of energy between the carbon dioxide molecules and decreased the molecular movement. Which figure in Songhai history followed the model set by Mali's Mansa Musa for organizing his kingdom?KossiSunni AliAskia DaudMuhammad Ture In the story "Charles," what does Laurie's disrespectful behavior toward his father reveal? Laurie has been negatively influenced by Charles's misbehavior at school. Laurie is angry at his father for disapproving of Charles's behavior. Laurie is more likely to tell lies than other children. Laurie is a boy who is likely to misbehave around adults The largest coral reef in the world is in Mexico New Zealand O Hawaii Australia Match each reason behind the rise in American imperialism to a potential benefitcompetition with EuropeManufacturing companies could gain accessto more raw materials.Colonies could be created in areas whereother nations had a footholdrise in economic opportunityFinished goods could be traded with othercountries in new markets.increase in industrializationNaval bases could be built in ports aroundthe worldexpansion of military powerCorrect!Intro1) Final The diagram compares the ratio of girls in the chorus to boys in the chorus what is the ratio of girls to boys if there are 40 students in the chorus how many are girls and how many are boys Based on this article, what was one contribution of the Islamic world to the emergence of higher education? Jonathan worked at McDonalds 20 hours a week and earned $195. Use the equation 20h = 195 to find Jonathan's hourly wage. * Which of the following country demographics would be used to explain the need for the pronatalist policies shown?OA country with a birth rate of 43, a death rate of 12, and a rate of natural increase of 3.1. passes a law that requires paidmaternity leave.A country with a birth rate of 11, a death rate of 13, and a rate of natural increase of -0.2, legislates tax credits for workingparentsA country with a birth rate of 16, a death rate of 4, and a rate of natural increase of 1.2, establishes long maternity leave periodsfrom workA country with a birth rate of 12, a death rate of 10, and a rate of natural increase of 0.2, requires full-day kindergartenOd In this diagram, which equation could you prove to be true inorder to conclude that the lines are parallel?(0, b)= 1(a, 0)(0, 0)(0, 0)||112 what is one historical development in the period 1820 to 1860 that influence the westward movement from the states along the Atlantic coast Fill in the blank to make the fractions equivalent 9/12 = ?/4