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

Farias car is worth 22000. Of the value of the car decreases by 8% what will her car be worth next year?

Answers

Answer:

$17600

Step-by-step explanation:

Charmaine has 17 cars available to rent. Let C be the number of cars she would have left after renting R of them.

Answers

Answer:

C = 17 - R

Step-by-step explanation:

In this scenario, 17 cars would be the initial starting point. While C would be the final number of cars, meaning that our equation would have to equal C. If she rents R number of cars then this number is being subtracted from the initial number of cars because Charmaine would no longer have them in his/her possession. Therefore, it is being subtracted. Using this information we can create the following equation.

C = 17 - R

2x - 5y = - 15
I need to rewrite it in the terms of “y” an I need the steps on how to do it thanks

Answers

Answer:

2x+15=5y

y=(2x+15)/5

hope this helps

Answer:

[tex]y = \frac{2}{5} x + 3[/tex]

Step-by-step explanation:

2x - 5y = -15

Firstly, you will need to isolate the variable you are solving for, in this case, y.

2x - 2x - 5y = -15 - 2x

-5y = -15 - 2x

-5y/-5 = -15/-5 - 2x/-5

A negative divided or multiplied by a negative is positive.

[tex]y = 3 + \frac{2}{5} x[/tex]

Rearrange.

[tex]y = \frac{2}{5} x +3[/tex]

Kira drove 522 miles in 9 hours.
At the same rate, how many miles would she drive in 7 hours?

Answers

GIven:522 miles in 9 hours.

So if we divide 522 by 9 we get that Kira drives 58 miles per hour.

Now in 7 hours Kira just drives 7 times that which means Kira drives.

58*7=406 miles

Hope this helped!

Step-by-step explanation:

Distance travelled in 9 hours = 522 miles

Distance travelled in 1 hour = 522/9 = 58 miles

Distance travelled in 7 hours = 7 * 58 = 406 miles

Hope it will help :)

HELP! 6th grade work due today pleaseeeeee

Answers

Answer:

s = 5 feet

Step-by-step explanation:

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

What is the x-value of the solution to the system of equations?
5x + 4y =8
2x -3y = 17
-3
O -2
O 4
O5

Answers

Answer:

-234

Step-by-step explanation:

5x + 4y =8 2x -3y = 17 -3 O -2 O 4 O5=234

Find the slope of any line parallel to the lien through the given points (3,2),(3,1)

Answers

Answer:

m = undefined

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Parallel lines have the same slope but different y-interceptsAn undefined line is a vertical lineSlope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, 2)

Point (3, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{1-2}{3-3}[/tex][Fraction] Subtract:                                                                                         [tex]\displaystyle m=\frac{-1}{0}[/tex]Simplify:                                                                                                          m = undefined

Add.
-1 + 2 = 1
- 6 + (-5)

Answers

Answer:

-6 + -5 = -11

Step-by-step explanation:

What is 38 times 4 plus the square root of 30

Answers

Answer:157.47722557

Step-by-step explanation:

All intergers are rational numbers? True or false

Answers

I'm pretty sure this is true

not all are integers because they are a bit different

what is bigger 6/5 or 4/5?

Answers

Answer:

6/5 is bigger

Step-by-step explanation:

6/5 simplifies to 1 and 1/5 which is greater than just 4/5

Answer:

6/5, the numerator is the number that determins the amount that is an improper fraction actually, the proper way of writing it is 1 and 1/5 but both are acceptable. most teachers prefer it this was though.

Step-by-step explanation:

hope this helps

Can someone tell me what this is really quick

Answers

Answer:

There were no more than 15 fruit snacks in the bag

Step-by-step explanation:

I hope this helps!

what is the answer. (11 x -8) + 7(x - 1) can you explain the answer in a sensible way. Thank you
Algebra question

Answers

Answer:

11x-8+7x-7

11x+7x-8-7

18x-15

Step-by-step explanation:

10 this dodge is good

a^2 + b^2 + 2bc - 2ca - 2ab

Answers

I got a^2 + b^2+2bc-2ac-2ab

Find the value of x when the triangle has 9 and 3

Answers

Answer:

H²=h²+b²

H²=9²+3²

H²=81+9

H²=90

H=

[tex] \sqrt{90} [/tex]

After 5 hours, how far apart are the boats? Label the distance(s) on your drawing from the first problem.

Answers

Answer:

The distance between them is 277.84 m

Step-by-step explanation:

See comment for complete question.

Given

Boat A:

[tex]Speed = 24mph[/tex]

[tex]\angle A = 340^{\circ}[/tex]

Boat B:

[tex]Speed = 35mph[/tex]

[tex]\angle B = 200^{\circ}[/tex]

[tex]Time = 5hr[/tex]

First, we calculate the distance traveled by both boats in 5 hours

[tex]Distance= Speed * Time[/tex]

[tex]Boat\ A = 24mph * 5hr = 120m[/tex]

[tex]Boat\ B = 35mph * 5hr = 175m[/tex]

For more clarity, I'll make use of the attached image to represent the system.

From the attachment, we are to calculate distance C, but first we calculate the angle between them.

[tex]\theta = 340^{\circ} - 200^{\circ}[/tex]

[tex]\theta = 140^{\circ}[/tex]

C is then calculated using cosine law:

[tex]C^2 = A^2 + B^2 - 2BC\ Cos\theta[/tex]

This gives:

[tex]C^2 = 120^2 + 175^2 - 2*120*175\ Cos(140^{\circ})[/tex]

[tex]C^2 = 120^2 + 175^2 - 2*120*175*-0.7660[/tex]

[tex]C^2 = 14400 + 30625 + 32172[/tex]

[tex]C^2 = 77197[/tex]

Take square root of both sides:

[tex]C = \sqrt{77197[/tex]

[tex]C = 277.84[/tex]

The distance between them is 277.84 m

Alicia quiere comprar 57 vasos. En la tienda ve que los vasos se venden, en cajas
de 3 o de 5 piezas. Alicia compra en total 13 cajas, de manera que pueda tener
exactamente 57 vasos.
¿Cuántas cajas de tres vasos y cuántas cajas de cinco vasos ha comprado
Alicia?

Answers

Answer:

compró 4 cajas q contenían 3 vasos

y 9 cajas q contenían 5 vasos

EJEMPLO: 4x3=12 + 9x5=45

12+45=57

esa es la respuesta y te puse el ejemplo para q le entiendas más

6x – 8y = -94
-X + 8y = 49
a. Subtract to eliminate y.
b. Subtract to eliminate x.
c. Add to eliminate y.
d. Add to eliminate x.

Answers

Answer:

photomath, assistant in mathematics, will decompose everything and give the correct answer.

can someone solve this

Answers

the answer is 5r^2 -1
hope this helps !

5 cups equals how many pints and cups

Answers

Answer:

5 cups is 2.5 pts

Step-by-step explanation:

cups pts

5.00 2.5

5.01        2.505

5.02 2.51

5.03 2.515

25 over 50 as a reduced fraction

Answers

Answer:

1/2

Step-by-step explanation:

i think that is right

i hope so

have a good day hope that is correct

Answer:

1/2

Step-by-step explanation:

25 is half of 50

Place an X in the table to show the percent decrease from the first number to the second number 12% 15% 150 to 132 275 to 242 300 to 255​

Answers

Answer:

hi

Step-by-step explanation:

hi

HELP PELASE ASAPppppp

Answers

Answer:D

Step-by-step explanation:

You buy 3 shirts and 1 pair of pants for $32Your friend buys 2 shirts and 3 pairs of pants for $40.

Answers

Answer:

Each shirt costs $8 and each pair of pants costs $8

Step-by-step explanation:

3+1=4

32/4=8

2+3=5

40/5=8

A rectangular playground has an area of 3,394 square meters. If the width of the playground is 32 meters, find the length.

Answers

Answer:

106 square

Step-by-step explanation:

Area of rectangle = 3,394 square meters

Width = 32 meters

Length = ?

Area of rectangle = Length * Weight

3,394 = 32 * x

x = 3,394 /32

x = 106.0625

x = 106

The Length is 106 square

Enrique has $50 in his lunch account and spends $5 per day from the account. Maya has $46 in her lunch account and spends $4 per day from the account. Which equations model the situation?


50 – 5x = y and 46 – 4x = y

5x + 50 = y and 4x + 46 = y

5x – 50 = y and 4x – 46 = y

5 – 50x = y and 4 – 46x = y

Answers

Answer:

50 – 5x = y and 46 – 4x = y, is your answer

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

Ali Clara and Shane raise money for new books for the school library all Ellie rays 20% more than Clara and $58 more than Shan Claries 1/4 times

Answers

Answer:

a. $435

b. 33.33%

Step-by-step explanation:

P.S - The exact question is -

Let Clara raised money = x

As given,

Ali raised 20% more than Clara

⇒Ali raised money =  [tex]x + \frac{20}{100}x = x + \frac{1}{5} x = \frac{6}{5}x[/tex]

Also given,

Clara raised [tex]\frac{1}{4}[/tex] times more than Shan

Clara raised money = Shan raise money + [tex]\frac{1}{4}[/tex] times shan raired money

⇒Clara raised money = [tex]\frac{5}{4}[/tex]  Shan raised money

⇒Shan raised money =  [tex]\frac{4}{5}[/tex] times Clara

⇒Shan raised money = [tex]\frac{4}{5}[/tex] x

As given,

Ali raised $58 more than shan

⇒[tex]\frac{6}{5}x = \frac{4}{5}x + 58[/tex]

⇒[tex]\frac{6}{5}x -\frac{4}{5} x = 58[/tex]

⇒[tex]\frac{2}{5}x = 58[/tex]

⇒x = (29)(5) = $145

∴ we get

Clara raised money = x = $145

Ali raised money = [tex]\frac{6}{5}x[/tex] = $174

Shan raised money =[tex]\frac{4}{5}[/tex] x  = $116

a.)

Total raised money = $145 + 174 + 116 = $435

b.)

Percentage of money Clara raised = [tex]\frac{145}{435}[/tex]×100% = [tex]\frac{1}{3}[/tex]×100% = 33.33%

!BRAINLIST! please help me with this QUICK!

Answers

Answer:

Corresponding

Co-interior

None

Alternate exterior

Alternate interior

Corresponding

ANSWER FOR BRAINIEST

Answers

THE ANSWER IS: y=3/2x+1

to find a line that is perpendicular, invert the slope and multiply by -1
so the original slope is -2/3,
invert it to get -3/2 then multiply by -1 to get 3/2

put the given point (-2,-2) and the new slope into point intercept form: y+2=3/2(x+2)

rewrite in standard form to get y=3/2x+1
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