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

PLS PLS help!
Type an equation of a parabola that is moved down 2 units, stretched vertically by a factor of 3, and moved left 5 units.

Answers

9514 1404 393

Answer:

  y = 3x^2 +30x +69

Step-by-step explanation:

Transformations work this way:

  g(x) = k·f(x) . . . . vertical stretch by a factor of k

  g(x) = f(x -h) +k . . . . translation (right, up) by (h, k)

__

So, the translation down 2 units will make the function be ...

  f(x) = x^2  ⇒  f1(x) = f(x) -2 = x^2 -2

The vertical stretch by a factor of 3 will make the function be ...

  f1(x) = x^2 -2  ⇒  3·f1(x) = f2(x) = 3(x^2 -2)

The horizontal translation left 5 units will make the function be ...

  f2(x) = 3(x^2 -2)  ⇒  f2(x +5) = f3(x) = 3((x +5)^2 -2)

The transformed function equation can be written ...

  y = 3((x +5)^2 -2) = 3(x^2 +10x +25 -2)

  y = 3x^2 +30x +69

__

The attachment shows the original function and the various transformations. Note that the final function is translated down 6 units from the original. That is because the down translation came before the vertical scaling.

x² + 2xy ty = 144
(x+y)³= ?

Answers

Answer:

t=144x3+432x2y+432xy2+144y3−x2

2xy2

Step-by-step explanation:

Help Plz
You are playing a game that requires flipping a coin twice. Use a sample space to determine whether flipping heads and then tails are independent events.

Answers

Answer:

Yes , it is independent

Step-by-step explanation:

independent

Simplify the mathematical expressions and arrange them in order of their values from least to greatest. ↓ ↓ ↓ ↓

Answers

Answer and Step-by-step explanation:

To simplify algebraic expressions, follow the basic rules:

1. Remove brackets or parentheses by multiplying factors;

2. Use exponent rule to remove grouping, if terms have exponents;

3. Add or subtract like terms;

4. Combine constants;

In the expressions above, there only constants and scientific notations, i.e., exponents elevated on a base 10. So, to simplify, we multiply the numbers and add the exponents:

(4.27 x 10⁸)(9.2 x 10⁻⁵) = 39.28 x 10³

(6.96 x 10⁵)(8.43 x 10⁻²) = 58.67 x 10³

[tex]\frac{(7.25.10^{5})(9.36.10^{-7})}{(7.95.10^{-2})(4.13.10^{-3})}=[/tex] 2.07 x 10³

[tex]\frac{(8.32.10^{4})(9.67.10^{1})}{(7.56.10^{11})(5.79.10^{-8})}[/tex] = 1.84 x 10²

[tex]\frac{(1.89.10^{4})(5.92.10^{3})}{(2.74.10^{-2})(4.67.10^{2})}=[/tex] 0.875 x 10⁷

All the exponents are positive, which means, comma "moves" to the right.

The numbers arranged from least to greatest will be

1.84 x 10² < 2.07 x 10³ < 39.28 x 10³ < 58.67 x 10³ < 0.875 x 10⁷

The length of a rectangle is three times its width.
If the width is represented by x, what is the
perimeter of the rectangle, in terms of x?

Answers

Answer:

perimeter:- 8x

Step-by-step explanation:

since,

length= 3(width)

length= 3x

and, perimeter= 2(l + b)

= 2(3x + x)

= 2(4x)

perimeter = 8x

Select the equation of the line of symmetry shown at the graph.
Answer choices:
X=3
Y=3
X=4
X=2​

Answers

the answer is x=3
hope this helps !

el peso de una moneda de 5 es 7.07 geamos si tienes 1000 monedas de $5, ¿cuantos pasaran en total?​

Answers

Answer:

Please translate this to English so I can help you?! :)

Step-by-step explanation:

Find the value of x

66°
117°

Answers

Answer:

x = 51 degrees

Step-by-step explanation:

Keep in mind, the angles of a triangle add up to 180 degrees.

A flat line also equals 180 degrees.

First, we should find the lower left angle. We know that 117 plus that angle is going to be 180, since it's a flat line.

180 - 117 = 63

Now, we just need to find angle x. (All 3 of our angles should add up to 180, knowing this, we can put it in an equation)

63 + 66 + x = 180

Then, you solve for x:

(63+66) + x = 180

129       + x = 180

-129             -129

               x = 51

Hope this helps :)

You have three shirts and four pairs of pants. How many outfits consisting of one shirt and one pair of pants can you make?

Answers

Answer:

3

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3 x 4 = 12

{y=5x-7
y=-2x+7 Solve the system by graphing.

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer: Put both equation into desmos and the crossing point will be (2,3) and the graph will be there.

Step-by-step explanation: 5x-7 = -2x+7                   y = 5(2) - 7

                                             5x = -2x + 7 + 7.              y = 3

                                             5x = -2x + 14

                                             5x + 2x = 14

                                             7x = 14

                                             x = 2

Which group contains triangles that are similar for brainliest

Answers

Answer:

its the second one of course

Step-by-step explanation: plz mark brainliest

Answer:A

Step-by-step explanation:

Because yes

one less than twice a number equals 9?

Answers

Answer:

X x 2 = 9 - 1 is your expression I am pretty sure

Researchers in plant growth are investigating the proportions of seedlings that sprout under two environmental settings in a lab experiment. Let pˆC represent the sample proportion of seedlings that sprout in garden C, and let pˆH represent the sample proportion of seedlings that sprout in garden H. For random samples of 100 garden C seedlings and 100 garden H seedlings, the sampling distribution of the difference between sample proportions pˆC−pˆH has σpˆC−pˆH≈0.051. Which of the following is the best interpretation of σPˆC−PˆH≈0.051 ?

Answers

Answer:

E

Step-by-step explanation:

For all random samples of 100 garden C seedlings and 100 garden H seedlings, the average distance of all possible differences between sample proportions  pˆC−pˆH  from the mean of the sampling distribution is approximately 0.051.

The means and mean absolute deviations of the amount of rain that fell each day in a local city, last week and this week, are shown below. Means and Mean Absolute Deviations of Rainfall Last Week and This Week Last Week This Week Mean 3.5 in. 2.7 in. Mean Absolute Deviation 1.2 in. 0.5 in. Which expression compares the difference of the two means to this week's mean absolute deviation?

Answers

Answer:

0.8 / 0.5

Step-by-step explanation:

Given :

Deviations of Rainfall :

______Last Week ____ This Week

Mean___ 3.5 in. ________2.7 in

MAD ___ 1.2 in _________ 0.5 in

Mean difference = 3.5 in - 2.7 in = 0.8 in

This week's mean absolute deviation = 0.5 in

Mean difference / this week's mean absolute deviation

= 0.8 / 0.5

Answer:

0.8 / 0.5

Step-by-step explanation:

Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.

Drag and drop the choices into the boxes to correctly complete the table.

corresponding alternate interior alternate exterior none of these

Answers

Answer:

From left to right, top to bottom: 1 and 2 are neither, 1 and 2 are neither, 1 and 2 are neither, 1 and 2 are cooresponding angles, 1 and 2 are alterante interior angles.

Answer:

We will go in order.

first-None of them

second-Alternate exterior

third-None of them

forth-Corresponding

and Fifth-Alternate Interior

Step-by-step explanation:

just took test

Susan Marciano invested part of her $27,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $1,590.​

Answers

54,000 it you add up all the profits

There are 6 dogs and 12 cats in the backyard. Write the ratio of cats to total animals In 3 ways, in simplest form.

Answers

Step-by-step explanation:

12:18

12 to 18

12/18 = 2/3

11. Justin needs to rent a car to go on vacation. EnvoCar charges $65 and $0.10 per mile. FreedomRide charges $80 and $0.05 per mile.
_________________________
a. How much more does Freedom Ride charge for driving m miles than EnvoCar?
_________________________
b. If Justin’s round-trip distance is 250 miles, which car rental company should he rent from? Explain.

Answers

[tex]envo \: car = 65 + 0.10(m)[/tex]

[tex]freedom \: ride = 80 + 0.05(m)[/tex]

//

I honestly don't know how to do a)

//

[tex]envo \: car = 65 + 0.10(250) = 90.00[/tex]

[tex]freedom \: ride = 80 + 0.05(250) = 92.50[/tex]

He should rent from Envo Car because it would be cheaper.

I NEED THIS RN AS FAST AS POSSIBLE! Your teacher decides to split the class into four equal groups with no more than five students in each group. that represents the number of students in the class.

Answers

Total student are 20

Solve the equation w=cx-h for x.

Answers

Answer:

That's your answer. Let me know if you need an explanation.

w=cx-h
add h to both sides
w+h = cx
divide both sides by c
(w+h)/c = x

answer:
x = (w+h)/c

% of 25 shirts is 8 shirts.

Answers

the answer is 32% KSJDSJJDJDJD

Answer:

32% of 25 is 8

Step-by-step explanation:

NO ONE IS HELPINNGGGG PLZZZZ 30 PTS +brainliest

Answers

Answer:

360

Step-by-step explanation:

all quadrilateral angle sums are 360° no matter how you change it

What is the image of M(11,-4) using the translation (x,y) →x-17, y + 2?
A. M'(-6,-2)
B. M'(6,2)
C. M'(-11,4)
D. M'(-4,11)​

Answers

Answer:

https://cdn.kutasoftware.com/Worksheets/PreAlg/Reflections%20of%20Shapes.pdf

Step-by-step explanation:

pls search this

Answer:

A. M'(-6,-2)

Step-by-step explanation:

are 7/18 and -21/-56 are equivalent​

Answers

Answer:

yes they are equivalent. if you simplify -21/-56 by dividing it by 3 you will get -7/-21 which equals to 7/21

is it possible to have triangle with 3 cm 6 cm and 7 cm sides if yes then​

Answers

Answer:

No

Step-by-step explanation:

Step-by-step explanation:

Yes it is possible to have a triangle with 3 cm, 6 cm and 7 cm sides because in order to form a triangle the length of two sides of a triangle should exceed the third side as shown below :

3 + 6 > 7

9 > 7( True) ✔

6 + 7 > 3

13 > 3 ( True) ✔

7 + 3 > 6

10 > 6 ( True) ✔

Hope it will help :)

9. Which of these was an example of US industrial mobilization for war? (5.1.B) A. Increased factory production of tanks and planes B. Increased farm production of wheat C. Rationing of products, like copper and rubber D. Increased production of automobiles​

Answers

Answer:

A

Step-by-step explanation:

Tanks are the Backbone of the Military, they are needed to destroy the Axis Powers during WW2, they also used Captured Enemy Tanks for studying and Produce New Tanks to Counter them.

Which problem matches the given inequality? d > 12.75 Chelsea spent $12.75. Chelsea spent about $12.75. Chelsea spent less than $12.75. Chelsea spent more than $12.75.

Answers

Answer:

Chelsea spent more than $12.75

Step-by-step explanation:

To solve this problem we should understand the meaning of signs first.

sign (<) → less than

sign (>) → more than

sign (=) → equal to

sign (≤) → Not more than

sign (≥) → At least

If the statement is,

"Chelsea spent more than $12.75"

d > 12.75

Therefore, Chelsea spent more than $12.75 is the correct statement.

Answer:

Chelsea spent more than $12.75.

Step-by-step explanation:

bc ik.

Graph the linear equation y=2.

Answers

Answer:

Here is a picture of how you will graph this equation

Step-by-step explanation:

Hope this Helped

Answer:

Slope= 0  Y-intercept= (0,2)

Step-by-step explanation:

Two rectangles we're used to form the following figure. Which measurement is closest to the area of the shaded region of this figure in square inches

Answers

Answer:

44 cm

Step-by-step explanation:

You have to find the area of the bigger square and find the area of the smaller one. (Width x Height). Then subtract the smaller rectangle from the bigher one

Daniel's school is selling tickets to a choral performance. On the first day of ticket sales the
school sold 1 adult ticket and 3 child tickets for a total of $39. The school took in $87 on the
second day by selling 5 adult tickets and 3 child tickets. Find the price of an adult ticket and the
price of a child ticket.

Answers

Answer:

Your answer.

Adult ticket = 12

Child ticket = 9

Thank you. And give my answer as Brainlist answer. Follow me for more

Step-by-step explanation:

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