Dan's school is selling tickets to a play. On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69. The school took in $150 on the second day by selling 7 adult tickets and student tickets How much is a student ticket?

Answers

Answer 1

Answer:

Let's define the variables:

A = price of one adult ticket.

S = price of one student ticket.

We know that:

"On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69."

1*A + 6*S = $69

"The school took in $150 on the second day by selling 7 adult tickets and student tickets"

7*A + 7*S = $150

Then we have a system of equations:

A + 6*S = $69

7*A + 7*S = $150.

To solve this, we should start by isolating one variable in one of the equations, let's isolate A in the first equation:

A = $69 - 6*S

Now let's replace this in the other equation:

7*($69 - 6*S) + 7*S = $150

Now we can solve this for S.

$483 - 42*S + 7*S = $150

$483 - 35*S = $150

$483 - $150 = 35*S

$333 = 35*S

$333/35 = S

$9.51 = S

That we could round to $9.50

That is the price of one student ticket.


Related Questions

Mary keeps track of how much time she goes running each week for 10 weeks. the frequency table with the data she collected. How many hours did mary spend​ running?

Answers

Answer:

One bad b, and she do what I say so

Two big .40s and a big a Draco (two, boom, boom)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s (that's how it goes)

One bad b, and she do what I say so (yeah, gang)

Two big .40s and a big a Draco (two)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s

I'm with my n*yeah, we some rockstars

And I'm with my n yeah, KK Wokhardt (KK Wokhardt)

This not my d, lil' b, my Glock hard (lil' b)

Straight to the cash, I'm a trapstar (cash)

Straight to the bag, I'm that n, huh (bag, oh)

Got me some gas, rollin' up some

Fft, fft, cash, yeah, I got me some

I ain't f her yesterday (yeah)

I'ma f some

One bad b , and she do what I say so

Two big .40s and a big a Draco (two, boom, boom)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s (that's how it goes)

3-0 clip in my Nina (oh, oh)

On my toes, Gucci, Valentino (yeah, b)

She on go, your b f the team, uh (lil' b )

'Cause you know your b want a winner (winner)

I just went back to my city (to my city)

And you know they all f with me (big hands)

But it ain't safe, h with me (h)

I'ma chase bands 'til they end me

One bad b, and she do what I say so

Two big .40s and a big a Draco (two, boom, boom)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s (that's how it goes)

One bad b, and she do what I say so (yeah, gang)

Two big .40s and a big a Draco (two)

Three more millions when you ask how my day go

Poured up a 4, now that's blueberry Faygo

One false move, and we straight to shooting s

Two small bands just to take you out real quick (bands)

Three more h, pull up, I'm f s

That's how it go, big bands, I'm thumbin' s

Step-by-step explanation:

PLEASEE HELP IM BEGGING YOU

Answers

Answer: god it's hard, but i will try

graph the line y=3x​

Answers

Answer:

here is a graph ( I hope I did it right lol)

In 8 hours, Jose can bake 288 cupcakes. How many
cupcakes per hour can he bake?

Answers

Answer:

36

Step-by-step explanation:

rewrite the function f(x)=-2(x+2)^2+6 in the form f(x)=ax^2+bx+c

Answers

Answer:

f(x) = -2x² - 8x - 2

General Formulas and Concepts:

Order of Operations: BPEMDAS Expand by FOIL (First Outside Inside Last)Standard Form: f(x) = ax² + bx + cVertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

Step 1: Define function

Vertex Form: f(x) = -2(x + 2)² + 6

Step 2: Find Standard Form

Expand by FOILing:                         f(x) = -2(x² + 4x + 4) + 6Distribute -2:                                     f(x) = -2x² - 8x - 8 + 6Combine like terms (constants):     f(x) = -2x² - 8x - 2

Clare ran 4 miles on Monday. Then for the next six days, she ran the same distance each day. She ran a total of 22 miles during the week. Which tape diagram represents this situation?

Answers

Answer:

In a week we have 7 days.

On the first day, Clare runs 4 miles.

On the other six days, she runs the same distance, let's call it D.

In total, she runs 22 miles.

Then:

4mi + 6*D = 22 mi

6*D = 22mi - 4mi = 18mi

D = 18mi/6 = 3mi.

Then the other 6 days, Clare runs 3 miles, then the tape diagram would look something like:

[tex]\left[\begin{array}{cccccc}Monday&-&-&-&-\\Tuesday&-&-&-\\Wednesday&-&-&-\\Thursday&-&-&-\\Friday&-&-&-\\Saturday&-&-&-\\Sunday&-&-&-\end{array}\right][/tex]

Where each "-" represents one mile.

Answer:

3 miles

Step-by-step explanation:


Jamie was working on his math homework with his friend, Kent. Jamie looked at the following problem.

−9.5 − (−8)− 6.5

He told Kent that he did not know how to subtract negative numbers. Kent said that he knew how to solve the problem using only addition. What did Kent mean by that? Explain.

Answers

Answer:

When subtracting a negative number, the two subtractions signs cancel out to be a positive.

Step-by-step explanation:

When subtracting a negative number, the two subtractions signs cancel out to be a positive.So, -9.5 - (-8) - 6.5 = -9.5 + 8 - 6.5

I hope this helps!

a qUICK ALGEBRA QUESTION FOR Y'ALL FOR A POSSIBLE QUIZ CORRECTION OF MINE. i got 6,,, wish y'all got 6 too so i'm not alone :"DDD
IF X = -2
-x2 + 2

Answers

I got -2 this is how:
-2x2 = -4 + 2 = -2

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 9 in this number.

139,648

Answers

The value of the 9 would be 9000

If Kishan wanted to average a 90% for the term and on his first four tests he got an 83, 94, 88, and 85, what would he have to get on the fifth test in order to meet his goal?

Answers

Answer:100%

Step-by-step explanation:

83+94+88+85+100=450

450/5=90% average

How much of an alloy that is 30% copper should be mixed with 50 ounces of an alloy that is 60% copper in order to get an alloy that is 40% ​copper?

Answers

Answer: 180 i think

Step-by-step explanation: .5*200+.2X=.3(200+X)

100+.2X=60+.3X

.2X-.3X=60-100

-.1X=-40

X=-40/-.1

X=400 OUNCES OF 20% COPPER.

PROOF

.5*200+.2*400=.3(200+400)

100+80=.3*600

100+80=180

180=180

Answer: 100 ounces of the alloy.

Step-by-step explanation: To solve, we create an equation:

First, though, let's define some variables and values -

x = amount of the alloy we are trying to find

0.3 = 30% copper

0.6 = 60% copper

50 = 50 ounces of the alloy

0.3(x) + 0.6(50) = 0.4(x+50) - original equation

0.3x + 0.6*50 = 0.4x + 0.4*50 - expanded

subtract 0.3x and 0.4*50 on both sides to get...

0.2*50 = 0.1x - simplified

calculate...

10 = 0.1x - simplified

divide both sides by 0.1 to get...

100 = x --> x = 100

The temperature in Allenville fell from 25°F to -23°F in 8 minutes. What's the average change in temperature per minute?​

Answers

Answer:

6 Degrees per minute

Step-by-step explanation:

25 + 23 = 48

48 divided by 8 = 6

Juan got grades of 68 and 73 on his first two math tests. What grade must he get on the third test if all were weighted equally and he wants to raise his grade to a 75 average?

Answers

Answer: 84

Step-by-step explanation: Multiply 75 by 3. That is 225, and is the value the three numbers must add up to. 73+68=141. 225-141 is 84.

you finance a $12,000 condo renovation completely on credit and you will just pay the minimum payment each month for the next few months. The APR is 18.99% and the minimum payment each month is 5% of the balance. Determine the finance charge, carry-over balance, and minimum payment required for each of the next two months, and the starting balance for month 2 in the table below.

Answers

Answer:

For Month 1, we have:

Carry-over balance  = $12,000.00

Finance charge = $189.90

New balance = $12,189.90

Minimum payment = $609.50

For Month 2, we have:

Carry-over balance = $11,580.41

Finance charge = $183.26

New balance = $11,763.66  

Minimum payment $588.18

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf file for the complete question.

The explanation to the answer is now given as follows:

Note: See the attached excel file for calculations of the finance charge, carry-over balance, and minimum payment required for each of the next two months.

In the attached excel file, the following formulas are used:

r = Monthly percentage rate = APR / 12 = 18.99% / 12 = 1.5825%

Carry-over balance of the current month = New balance of the previous month - Minimum payment of the previous month

the product of a number and -7 is at most -70. what is inequality 18 points

Answers

Answer:

Inequality :

[tex]-7x\le \:-70[/tex]

Step-by-step explanation:

Let the unknown number be x

at most -70 = ≤ -70

[tex]x\times(-7) \leq -70\\\\-7x\leq -70[/tex]

Solving further  :

[tex]-7x\le \:-70\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-7x\right)\left(-1\right)\ge \left(-70\right)\left(-1\right)\\\\Simplify\\\\7x\geq 70\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\\\frac{7x}{7}\ge \frac{70}{7}\\\\Simplify\\\\x \geq 10[/tex]

simplify

y = -1x - 1

pls hurryyyyyyy

Answers

y= -x - 1

this is the answer because -1x can just be written as -x

simplify 3(12 - 8) + 5

Answers

Answer:

17

Step-by-step explanation:

The value of the given linear expression 3(12 - 8) + 5 is 17.

What is a linear equation?

A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.

Therefore, the variable x⁰ = 1.

Given linear expression:

3(12 - 8) + 5

= 3 × 4 + 5

= 12 + 5

= 17

Learn more about linear expression here: https://brainly.com/question/1955739

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If a polynomial has four terms, 3x3 + 5x + 6x2 + 10, which factoring method can be considered? perfect-square trinomial difference of squares factor by grouping sum of cubes

Answers

Answer:

c

Step-by-step explanation:

just took the quiz

Answer:

The answer is C) factor by grouping

Step-by-step explanation:

Edge 2020

Gina wants to make
hamburgers for 12 people.
Her recipe serves 8 people
and calls for 4.5 pounds of
ground beef. How much
ground beef should
Gia purchase?
h

Answers

Answer:

6.75 pounds

Step-by-step explanation:

This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.

[tex]4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x[/tex]

In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.

* stands for multiplication

From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.

What is 8 divide 1/5?
What is 8 divide by 1/5

Answers

They are both 40 lol, it’s the same

Answer:

40

Step-by-step explanation:

A jogger is running home. His distance from home, as a function of time, is modeled by y=-7x +8.
Which statement best describes the function?
A. The function is nonlinear.
B. Not enough information is given.
C. The function is linear at some points and nonlinear at other points.
D. The function is linear.

Answers

Answer: the function is a liner

Step-by-step explanation: trust


What is the x-intercept of
3x – 4y = 242

Answers

Answer:

x=242/3

alternative form= 80 2/3, x=80.6

Step-by-step explanation:

3x-4y=242

substitute y = 0

3x-4x0=242

calculate the product

3x-0=242

remove 0

3x=242

divide both sides (by 3 in order to leave x by itself)

done

What is the percent change of 500 to 100

Answers

Answer:

400%

Step-by-step explanation:

First, work out the difference (decrease) between the two numbers you are comparing. 500-100=400

Next, divide the decrease by the original number and multiply the answer by 100. 400/100=4

4 x 100=400

Hope I helped!

write two numbers that multiply to the value on top and add to the value on bottom.
top number : 56
bottom number:-15​

Answers

Answer:

7 x 8 = 56

-3 x -5 or -5 + -5 + -5 = -15

Step-by-step explanation:

The numbers that result in the top and bottom numbers are: -7 and -8

System of Linear Equations

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

You should convert the given text into linear equations.

x*y=56 (1)

x+y=-15 (2)

For equation 2, you have x=-15-y. Thus, you can replace this variable into equation 1.

(-15-y)*y=56

-15y-y²=56

-y²-15y-56=0

You find a quadratic equation. Solving this equation:

[tex]y_{1,\:2}=\frac{-\left(-15\right)\pm \sqrt{\left(-15\right)^2-4\left(-1\right)\left(-56\right)}}{2\left(-1\right)}\\ \\ y_{1,\:2}=\frac{-\left(-15\right)\pm \:1}{2\left(-1\right)}\\[/tex]

[tex]y_1=\frac{-\left(-15\right)+1}{2\left(-1\right)}=-8\\ \\ y_2=\frac{-\left(-15\right)-1}{2\left(-1\right)}=-7[/tex]

For equation 2,

For y=-8

       x+y=-15

       x+(-8)=-15

       x=-15+8=-7

For y=-7 x+y=-15 x+(-7)=-15x=-15+7=-8

Read more about the quadratic function here:

brainly.com/question/1497716

#SPJ2

-16/128 simplified + (3/2 + 43/23) = ?

Answers

Answer:

3.245

Step-by-step explanation:

Answer:

YES I ANSWERED IT

Step-by-step explanation:

THX I GOT 100 POINTS :)

The area of a rectangle is 72 square metres. The length of the rectangle is twice the width. Find the width of the rectangle.

Answers

Answer: Width = 6m

Working:
Find common factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Work out which ones multiply together to make 72 and as the question states that the length is twice the width, we need to find two numbers that multiply to make 72 and one of the numbers is double the other number.

These numbers would be 6 and 12. (6 x 12 = 72)

Therefore:

Area = 72m²
Width = 6m
Length = 12m

In March it rained 8.23 inches. It rained 5.96 inches less in April than in March.
How much did it rain in April?

Answers

It rained 2.27 inches in April.

Which Statement about 4(x-3) is True? Giving Brainliest

Answers

Answer:

A I think that is the ans

Find the % of increase or decrease 92 lb to 200 lb

Answers

Answer:117.391304347826%

Step-by-step explanation:

polly the carrot has learned to say "polly wants a cracker." if she says it every five minutes for two hours and gets a cracker to eat each time, how many crackers will polly eat?

Answers

Answer:

24

Step-by-step explanation:

(60 × 2 ) ÷ 5 = 24.

60 because hour is 60 minutes

× 2 because she says it for 2 hours

÷ 5 because she says it every 5 minutes

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