The cost of tickets to a school play are $10 for adults and $6 for children under 12. If there were a total of 100 tickets sold to the play on a certain night, what equation would you use to represent the total ticket sales, T, if the number of adult tickets can be represented by a. Show and explain each step to create the equation.

Answers

Answer 1

Answer:

10a+6b=T------------2

Step-by-step explanation:

Given data

Let the number of adults be a

and the number of children be b

we are told that the total tickets is 100

hence

x+y=100-------------1

The cost of adult ticket = $10

The cost of children ticket = $6

since the total cost is T

Hence

10a+6b=T------------2


Related Questions

What is the average rate of change for this quadratic function for the interval
from x= 1 to x = 3?
X
-5
5
-10+

Answers

Answer: -4

A P E X

Step-by-step explanation:

1. The Clock
[tex] \sqrt{81} [/tex]

Answers

Answer 9


Explanation I think

Juan tiene 15 años más que Antonio. Dentro 10 años, la edad de Juan será el doble que la de Antonio¿ Cuantos años tienen los dos?

Answers

Antonio tiene 5 y Juan tiene 20

Just need answer for both

Answers

..............................,..

Answer:

First one: 12 ft

Second one: 50ft^2

Step-by-step explanation:

Because both triangles are congruent, any value on one triangle is the same one on the other triangle so CBD= 12ft for the perimeter

Second one:

because both triangles are congruent like I stated above, both triangle are congruent.

But in this case we have to find the area of the whole rectangle.

What we do here is multiply 25 by 2

or

add 25+25

our answer is 50ft^2

Suppose 65% of jurors come to a just decision. In a jury of ten people, what is the probability more than half come to a just decision? 0.7515 0.2485 0.0949 0.8374 0.9051

Answers

Answer: 0.7515

Step-by-step explanation:

Binomial probability formula:

[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where

n = total number of trials.

p= probability of success in each trial.

x= Number of successes.

Let x be a binomial variable that represents the number of jurors come to just decision.

p= 0.65

n= 10

Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]

Hence, the probability more than half come to a just decision = 0.7515

A small plane flying from Los Angeles to San Diego averaged 175 mph with a tailwind. On the return trip with headwind the average speed was only 125 mph. Write and solve a system to reflect this relationship. Find the speed of the headwind/ tailwind AND the speed of the plane on a calm day.

Answers

Answer:  System of equations:

p + w = 175

p - w = 125

p is the plane's speed, w is the wind speed

The wind speed is 25 mph.  The plane's speed on a calm day is 150 mph.

Step-by-step explanation:

Solve by elimination: Add the equations. w "cancels" solve for p:

p + w = 175

p - w = 125

2p  = 300   divide both sides by 2

p = 150  the plane's speed

Substitute 150 for p and solve for w

150 + w = 175   Subtract 150 from both sides.

w = 25  the wind speed

Find the slope when given (2,3) (3,5) plz

Answers

(y2-y1)/(x2-x1)
=(5-3)/(3-2)
=2/1
=2

so the slope is 2
hope this helps !
Answer:

The slope is 2.

You put $300 at the end of each month in an investment plan that pays an APR of 7%. How much will you have after 18 years? Compare this amount to the total deposits made over the time period.

Answers

Answer:

take 300 time 12 months. take that nber times 18 years. then times that number by .07.

all together there is almost a $5000 difference. that is almost the total of having put 300 in the account for another 2 years without the apr

Step-by-step explanation:

Answer:

The answer is 129,216.31. Hope it helps

Step-by-step explanation:

two cube numbers from 3,6,8,14,16,28,41,64​

Answers

Answer:

67

70

73

76

79

82

85

Answer:

The answer are 8 and 64

Step-by-step explanation:

[tex] \sqrt[3]{8} = 2 \\ \sqrt[3]{64} = 4[/tex]

HELP PLEASE!! WILL GIVE BRAINLIEST!!!

Answers

The slope is 5/7

Step-by-step explanation:

When you find slope you need to find both points and use the ordered pairs and subtract y1 - y2 and x2 - x1 and then you get your slope which is 5/7

sorry im bad at explaining

Which pair of angles is congruent?

Answers

Answer:

Option 2

Step-by-step explanation:

Corresponding Angles Theorem

Solve by elimination:
9x + 4y = 97
9x + 6y = 123
14
15'
B (5, 13)
(13,5)
D (1, 22)

Answers

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to eliminate a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make one of the 9x's negative. To do this, multiply each term in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

Will mark brainliest for whoever answers

Answers

Answer:

i think g(x) is not the inverse function of f(x). HOPE THIS HELPS!

Step-by-step explanation:

Find the missing length.
8
3
с
C =
= ✓ [?]
Pythagorean Theorem: a2 + b2 = 2

Answers

Answer:

✓73 or approximately 8.54

Step-by-step explanation:

✓ 8²+3² = ✓ 73 or approximately 8.54

The temperature outside changed from 64°F to 43°F over a period of seven days. If the temperature changed by the same amount each day, what was the daily temperature change?

Answers

Answer: -3°F

Step-by-step explanation:

From the question, we are informed that the temperature outside changed from 64°F to 43°F over a period of seven days. The total change will be:

= 43°F - 64°F

= -21°F

If the temperature changed by the same amount each day, the daily temperature change will now be:

= -21°F / 7

= -3°F

The temperature decreased by 3°F daily

Help po plss

1.jane read 10books in one year,while huan rrad 8books.find the ratio jane's to juan's finished books .

2.nadine has 860 female followers out of a total of 1260followes in the social photosharing site find the ratio of female to male followers.

3.a public school has 4415 students and 1200 teachers.what is the ratio of the students to each other teacher.​

Answers

Answer:

1. 10:8 = 5:4 (simplest form)

2. 860:400 = 43:20 (simplest form)

3. 4415:1200 = 883:240 (simplest form)

The school band has a goal of raising $800 for some new uniforms. If they
have raised $512 so far, what percent of their goal have they raised?
help please (;´༎ຶٹ༎ຶ`)

Answers

Answer:

64%

Step-by-step explanation:

512/800=.64

Answer: The exact answer is 62.5 but rounded its 63.

is 1/2 ÷ 2 is greater than 1 or less than 1.

Answers

Answer:

0.25

Step-by-step explanation:

1/2÷ 2 is less than 1

Answer:

Greater

Step-by-step explanation:

It is greater beacause 1/2 ÷ 2 is 0.25. However, 1 (1.00) is greater than 0.25 because 0.25 is basically 25/100 and 1 is 1 (whole

10.
8. "Orta Asya'da kurulan ilk Müslüman Türk Devleti
Haniyim. Müslümanlığı kabul ederek Abdülkerim
Satuk Buğra Han adını aldım. Devletin resmi dinini
Islamiyet olarak kabul ettim. Bu durum kısa sürede
Türk boylarının islamlaşmasını sağladı."
Satuk Buğra Han'ın bu açıklamalarına göre, Türk-
lerin Müslüman olmasının aşağıdakilerden han-
gisine etki ettiği söylenebilir?
A) Kültürel değerlerini kaybetmelerine
B) Siyasal alanda değişimlere
C) Topraklarini genişletmelerine
D) Yerleşik hayata geçmelerine​

Answers

D because of the jape asse language answer sis D 66

When the stress on a rock in the mantle is greater than the rock is strong ________.
the rock breaks and energy is released in the form of s-waves and p-waves
a volcano erupts
a tsunami builds under the ocean
sedimentary rock is formed

Answers

Answer:

sedimentary rock is formed

Step-by-step explanation:

Sedimentary rock is formed

If you eat 4 medium strawberries, you get 36% of your daily recommended amount of vitamin C.
What fraction of your daily amount of vitamin C do you still need? Enter your answer in simplest form
You still need
amount of the daily recommended amount of vitamin C.

Answers

Answer:

16/25

Step-by-step explanation:

A triangle has side lengths of (6a-3b)(6a−3b) centimeters, (5a+5c)(5a+5c) centimeters, and (8c-b)(8c−b) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Factoring

Geometry

Perimeter Formula [Triangle]: P = L₁ + L₂ + L₃

L₁ is one sideL₂ is another sideL₃ is the 3rd side

Step-by-step explanation:

Step 1: Define

L₁ = (6a - 3b)(6a - 3b)

L₂ = (5a + 5c)(5a + 5c)

L₃ = (8c - b)(8c - b)

Step 2: Find Perimeter

Substitute in variables [Perimeter - Triangle]:                                              P = (6a - 3b)² + (5a + 5c)² + (8c - b)²Expand [FOIL]:                                                                                                P = (36a² - 36ab + 9b²) + (25a² + 50ac + 25c²) + (b² - 16bc + 64c²)Combine like terms (a²):                                                                                 P = 61a² - 36ab + 9b² + 50ac + 25c² + b² - 16bc + 64c²Combine like terms (b²):                                                                                P = 61a² + 10b² - 36ab + 50ac + 25c² - 16bc + 64c²Combine like terms (c²):                                                                                P = 61a² + 10b² + 89c² - 36ab + 50ac - 16bcRearrange variables:                                                                                      P = 61a² - 36ab + 50ac + 10b² + 89c² - 16bcFactor:                                                                                                             P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc

Evaluate expression: 3(5g + 5 - 2)

Answers

Answer: 15g + 9

Step-by-step explanation: Have a brilliant day!- Lily ^_^ Plz mark brainliest.

jane takes 4 hours to do a job that Alice can do in 3 hours. if jane works 1/2 hour before Alice joins her, how long will it take the two of them to finish the job

Answers

Answer:

2.4 hours

Step-by-step explanation:

Write a story to match the equation: x + 2 1/2 = 10
Lin likes to bake batches of muffins and share them with friends and family. She needs 10 cups of flour for her next batch, but only has 2 1/2 cups left. How much more flour does she need?

Answers

Answer:

She needs 15/2 cups of flour.

Step-by-step explanation:

x+2 1/2=10

2 1/2=5/2

x+5/2=10

x=10-5/2

x=20/2-5/2=15/2

Please I need formula and faces

Answers

Answer:

+3[36 hahahahhh Sana all mag hanap ka nlg sa iba

A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. Find the speed of the boat as she paddles the lake if the river current is 2 km/h.

Answers

Answer:

5 or 6

Step-by-step explanation:

So I did it in a different way than shown in rsm classes. I said that the speed was x-2 and x.

then I said the distance was 6 and 15. If the time taken was 1 hour more, then we can come up with this equation:

Since the time is 6/x-2 or 15/x

15/x-6/x-2=1

multiply everything to get a common denominator then cancel it out to get

(15x-30)-6x=x^2-2x

11x-30=x^2

x^2-11x+30=0

(x-5)(x-6) is factored form.

so x=5 or x=6. this means that the speed of the boat is either 5km/h or 6 km/h

help plssss i give brainliest

Answers

Answer:

(7, - 2 )

Step-by-step explanation:

Given the 2 equations

x = - 3y + 1 → (1)

- 3x - 3y = - 15 → (2)

Substitute x = - 3y + 1 into (2)

- 3(- 3y + 1) - 3y = - 15 ← distribute and simplify left side

9y - 3 - 3y = - 15

6y - 3 = - 15 ( add 3 to both sides )

6y = - 12 ( divide both sides by 6 )

y = - 2

Substitute y = - 2 into (1) for corresponding value of x

x = - 3(- 2) + 1 = 6 + 1 = 7

solution is (7, - 2 )

Please hurry
Select all the points that are on the graph of the line
3x + 5y = 20 ?

Answers

Answer:

x=5

y=1

Step-by-step explanation:

3*5=15

5*1=5

15+5=20

Hello immediately please




Sandy's aunt lives 250 miles away. If Sandy drives 55
ph, how long will it take her to get to her aunt's house?
A3 hours
B. 5 hours
C. 4.5 hours
D 6 hours

Answers

C. 4.5 hours Hope this is helpful
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Jana is a nursing assistant who cares very much about her patients. Jana is giving her patient Fatima a sponge bathwith Fatima's husband present, which was Fatima's request. While bathing Fatima, Jana overhears her saying howshe wished she could see her mom. Jana looks up Fatima's chart and finds her mother's phone number. Jana callsthe Fatima's mother, tells her that Jana is very sick, and suggests she come down fora visit. When did Jana mostviolate her patient's rights?P Which equation represents a linear equation What process does the Constitution set up for removing public officials who commit acts of gross misconduct?impeachmentamendmentvetoelections In general, what are the most common motives or purposes of speech The Gettysburg Address? what a personal lifestyle choice involves Celine is undecided as to whether to take a French course or a chemistry course. She estimates that her probability of receiving an A grade would be 1/2 in a French course and 2/3 in a chemistry course. If Celine decides to base her decision on the ip of a fair coin, what is the probability that she gets an A in chemistry I need help with my last 2 problems Which sentence correctly uses a word with a Latin root that means "stormy weather"? A. We survived the tempest only to be trapped in our house by all the water. B. We were worried that the lure of the temptation would overcome his good sense. C. She thought the news of the trial outcome was unjust. D. She said that though she knew it would be challenging, she was equal to the task. In the table, describe each characteristic (tone, structure, purpose, word choice, sentence structure) of Lincolns First Inaugral address Write the equation of the line that passes through the points (1,4) and (1,-3).y = -7x+11X=1y = 7x - 3 Explain why the trapper business lasted only about ten years from 1829 to 1840. Plz hurry Help asap!!!!Around which line would the following cross-section need to be revolved to create a sphere?circle on a coordinate plane with center at 1 on the x-axis and a radius of 1 y = x y-axis x = 1 y = 1 Please answer this I will mark you Brainly if you answer this right How does the gametophyte generation differ genetically from the sporophyte generation?It contains a full set of genetic material (is diploid).It undergoes asexual reproduction.It lacks genetic material (DNA).It contains half the genetic material (is haploid). Who was the first Viceroy of India? 5% of a number is 23 A point charge q is located at the center of a spherical shell of radius a that has a charge q uniformly distributed on its surface. Find the electric field for the following points: (a) for all points outside the spherical shell E = keq2/r2 E = q/4r2 none of these E = keq/r2 E = 0 (b) for a point inside the shell a distance r from the center E = keq2/r2 E = keq/r2 E = 0 E = q/4r2 none of these A change in a group's customs and habits by adapting to or borrowing those of another people is called ______________________.acculturationacquisitionaccustomizationadaptation find the value of x. A car hits a tree with a force of 45 N, the mass of the tree is 65g. What is the resulting acceleration?a. 0.69 m/s2b. 692 m/s2c. 2,925 m/s2d. 2.93 m/s2