A school dance sold 2 types of tickets: one for freshman/sophomores (9th/10th graders), and one for juniors/seniors (11th/12th graders). The freshman/sophomore tickets cost $8, and the junior/senior tickets cost $6. They sold a combined total of 525 tickets, and earned a total of $4600. How many tickets of each type did the school sell? Write and show all algebra work; you cannot use graphing to solve this.

Answers

Answer 1

9514 1404 393

Answer:

freshman/sophomore: 725junior/senior: -200

Step-by-step explanation:

It is convenient to let a variable represent the number of the highest-price tickets sold. We'll use x for that. Then the number of lower-price tickets sold is 525 -x and the total revenue is ...

  8x +6(525 -x) = 4600

  2x = 1450 . . . . . . . . . . . . subtract 3150

  x = 725

  525 -x = -200

__

The school sold 725 freshman/sophomore tickets and -200 junior/senior tickets.

_____

Comment on the question

There is apparently an error in the question somewhere. The average revenue per ticket is ...

  $4600/525 ≈ $8.76

You cannot sell $6 and $8 tickets and earn more than $8 per ticket sold. (Average revenue must be between $6 and $8 per ticket.)

__

If we assume a typo in revenue, and that it should be $3600, then the sales will be 225 freshman tickets and 300 senior tickets.


Related Questions

6) What is the mystery number?
The mystery number has ...
• 9 in the Ones place.
8 in the Millions place.
4 in the Hundred Thousands place.
3 in the Hundreds place.
3 in the Thousands place.
3 in the Tens place.
O in the Ten Thousands place.

Answers

9.333048
is what I believe the mystery number would be

Answer:

8,403,339

Step-by-step explanation:

using logarithms table, evaluate
4.962-√4.779​

Answers

Answer:

3.404

Step-by-step explanation:

8sin(8x)+9=3
Need solutions

Answers

Answer:

Simplifying

8sin(8x) + 9 = 3

Remove parenthesis around (8x)

8ins * 8x + 9 = 3

Reorder the terms for easier multiplication:

8 * 8ins * x + 9 = 3

Multiply 8 * 8

64ins * x + 9 = 3

Multiply ins * x

64insx + 9 = 3

Reorder the terms:

9 + 64insx = 3

Solving

9 + 64insx = 3

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + 64insx = 3 + -9

Combine like terms: 9 + -9 = 0

0 + 64insx = 3 + -9

64insx = 3 + -9

Combine like terms: 3 + -9 = -6

64insx = -6

Divide each side by '64nsx'.

i = -0.09375n-1s-1x-1

Simplifying

i = -0.09375n-1s-1x-1

Step-by-step explanation:

If this helps please give brainliest:)

Help me out 3 i need some help :(

Answers

Answer:

The first one

Step-by-step explanation:

Since only the first session is $10, it wouldn't be 10x.

The second session is $5, and it will never be $10 again, so $5 sessions are unlimited which would be 5x.

So the answer is y = 10 + 5x

(sorry if i didnt explain well)

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answers

1 - 2/5 - 1/3= 4/15 of the circle is shaded

Eddie's recipe for bagels makes 18 bagels per batch. Eddie makes 2/3 batch of bagels. How many bagels does Eddie make

Answers

Answer:

6

Step-by-step explanation:

18/3=6

Can you help me with my homework question?

Answers

2 and 4 are 66 because 180 - 114
3 is the same as 1

What is the slope of the line on the graph?

Answers

Answer:

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

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

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

(0, 2)

(-4, 0)

[tex]m=\frac{2-0}{0-(-4)}[/tex]

[tex]m=\frac{2}{0+4}[/tex]

[tex]m=\frac{2}{4}[/tex]

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

Jessica qent for a drive in a new car. She drove 204.8 miles in 4 hours. What was her speed

Answers

Answer:

Her speed was 51 mph per hour

Answer:

51.2 mph per hour

Step-by-step explanation:

What is the equation of the line in slope-intercept form? the line perpendicular to y = x + 2 through (-7, -8)​

Answers

Answer:

[tex]y=-x-15[/tex]

Step-by-step explanation:

Point-slope formula: [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1, \ y_1)[/tex] are the coordinates of a point on the line, and [tex]m[/tex] is the slope of the line.

You are given a point that the line you are trying to find passes through, and a slope. The slope is less obvious than the point, but you can find the slope using the given information.

The line perpendicular to y = x + 2 will have the opposite reciprocal slope of this line. The slope of y = x + 2 is 1, so the opposite reciprocal of 1 is:

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

Now that you have both a point and the slope of the line you are trying to find, you can substitute these values into the point-slope formula (Notice: the name of this formula contains both "point" and "slope").

Substitute [tex](-7, \ -8)[/tex] for [tex](x_1,\ y_1)[/tex] and [tex]m=-1[/tex] into the point-slope formula.

[tex]y-(-8)=-1(x-(-7))[/tex]

Simplify this equation.

[tex]y+8=-1(x+7)[/tex]

Distribute -1 inside the parentheses.

[tex]y+8=-x-7[/tex]

Subtract 8 from both sides of the equation.

[tex]y=-x-15[/tex]

This line is in slope-intercept form ([tex]y=mx+b[/tex]), so we are done.

Name the relationship

Answers

Answer:

A vertical angle!

Step-by-step explanation:

Vertical angles sit across from each other.

Answer:

Its definitely a sexual relationship I would say

(Only the tips tho)

Bre works 12 hour shifts 3 days a week and makes $25.64 per hour. How much does Bre make in 1 week?

Answers

Answer:

923.04 $

Step-by-step explanation:

1 hour: 25.64 $

36 hour: x

x=36×25.64

x=923.04$

Answer:

Bre makes $923.04 in one week.

Step-by-step explanation:

First you have to multiply the 12 hours and the $25.64

25.64x12=307.68   Then if that equals $307.68 then Bre makes $307.68

in on day so then you take $307.68 and multiply it with the 3 days

307.68x3=923.04 So that equals $923.04 then Bre makes $923.04

a week. For (maybe) an easier way to figure this out you can just multiply  

12 and 3 first 12x3=36 then you can  multiply $25.64 and 36. 25.64x36=923.04 and you will still get the same answer.

Hope this helps:).

Have a nice day:).

Plz mark me brainliest:).

P.S.  What kind of job is Bre working that she make almost a thousand dollars

in three days lol.

The figure shows a pair of parallel line segments on a coordinate grid: the line segments are translated 2 units to the left to form J’K and M’N. Which statement describes J’K and M’N

Answers

Answer:

J

Step-by-step explanation:

Answer:

Line segments J'K' and M'N' do not intersect and are the same distance apart as JK and MN.

Step-by-step explanation:

If the line segments are translated 2 units to the left, then JK will start at (1, -1) and go to (5, -1), and MN will start at (1, -2) and to to (5, -2).  So the line segments remain parallel and the same distance apart.

Write the equation of a line through (5, -3) with a slope of
1/5 in standard form.​

Answers

Answer:

[tex]\frac{1}{5} x-4[/tex]

Step-by-step explanation:

I graphed it on desmos by inserting the point (5,-3) and [tex]\frac{1}{5} x[/tex] for the slope then translated [tex]\frac{1}{5} x[/tex] down 4 so it would go through the point

Answer:

y = 1/5x - 4

Step-by-step explanation:

y = mx + b

simply plug in the slope,

y = 1/5x + b

now put in the cooridinates for b,

-3 = 1/5 ( 5) + b

now solve for b,

-3 - 1 = b

-4 = b

now put -4 into the equation,

y = 1/5x - 4

PLEASE HELP MEEEEEEE I NEED THIS QUICK
Which of the following best defines the two quantities that are measured to find the call rate of a phone company? (5 points)
Group of answer choices

The quantity of price measured in dollars depends on the quantity of time measured in minutes.

The quantity of time measured in minutes depends on the quantity of price measured in dollars.

The quantity of time measured in minutes depends on the quantity of speed measured in calls per minute.

The quantity of speed measured in calls per minute depends on the quantity of time measured in minutes.

Answers

Answer:

A: The quantity of the price would be measured in dollars depends on the quantity of time measured in minutes.

Step-by-step explanation:

A seemed like the best answer to me. I hope I helped

Refer to Table 9.2. (Data are expressed in billions of dollars).

Full Employment Income (Output) Consumers Desire to Spend Investors Desire to Spend Total Private Spending Total Saving
$500 $300 $250 $___ $___
600 375 250 $___ $___
700 450 250 $___ $___
800 525 250 $___ $___

If the full-employment level of income (YF) in Table 9.2 is $800 billion

A. There is a recessionary gap of $25 billion.

B. The economy is in equilibrium.

C. There is an inflationary gap of $250 billion.

D. There is a recessionary gap of $275 billion.

Answers

Answer:

A)There is a recessionary gap of $25 billion.

Step-by-step explanation:

Full Employment   Consumers   Investors    Total Private    Total Saving

Income (Output)     Desire to      Desire to        Spending

                               Spend             Spend

$500                       $300                  $250           $___            $___

600                           375                   250             $___            $___

700                           450                   250             $___            $___

800                           525                   250            $___             $___

Total Private spending = Consumers desire to spend + Investors desire to spend

Total savings = Income - Total private spending

Using these formulas :

Solution Table

Full Employment   Consumers   Investors    Total Private    Total Saving

Income (Output)     Desire to      Desire to        Spending

                               Spend             Spend

$500                       $300                  $250           550            -50

600                           375                   250             625            -25

700                           450                   250             700              0

800                           525                   250            775              25

If the full-employment level of income (YF) in Table 9.2 is $800 billion So, There is a recessionary gap of $25 billion. Since total saving is $25

So, Option A is true .

Which relation represents a function? {(0, 3), (2, 4), (0, 6)} {( - 7, 5), ( - 7, 1) ( - 10, 3), ( - 4, 3)} {( 2,0), (6, 2), (2, -2)} {( - 6, 5), ( - 3, 2), (1, 2), (6, 5)}

Answers

Answer:

is it none of the above

Step-by-step explanation:

what is 1423 divided bye 789

Answers

Answer:

1.8

Step-by-step explanation:

Answer:

use calculator

Step-by-step explanation:

search calculator on google

Find H, help me and get brainlist.​

Answers

Answer:

it is 19

Step-by-step explanation:

Given that 2y^3+by-cy+d,where b,c and d are constants,leaves a remainder R when divided by (y+1) , (y-2) and (2y-1). Find the value of b and c. If (y+2) is a factor of the expression, find the value of d

Answers

The polynomial remainder theorem says that a polynomial p(x) leaves a remainder of p(k) when it's divided by x - k.

We're given that dividing p(y) = 2y³ + by² - cy + d leaves the same remainder R after dividing it by y + 1, y - 2, and 2y - 1. So we have

p(-1) = 2(-1)³ + b(-1)² - c(-1) + d = R

==>  R = -2 + b + c + d

p(2) = 2(2)³ + b(2)² - c(2) + d = R

==>  R = 16 + 4b - 2c + d

p(1/2) = 2(1/2)³ + b(1/2)² - c(1/2) + d = R

==>  R = 1/4 + b/4 - c/2 + d

We're also given that y + 2 is a factor, which means dividing p(y) by it leaves no remainder, and so

p(-2) = 2(-2)³ + b(-2)² - c(-2) + d = 0

==>  0 = -16 + 4b + 2c + d

Solve the system of equations in boldface. You can eliminate d from the first 3 to first solve for b and c, then solve for d :

(-2 + b + c + d) - (16 + 4b - 2c + d) = R - R

-18 - 3b + 3c = 0

b - c = -6

(-2 + b + c + d) - (1/4 + b/4 - c/2 + d) = R - R

-9/4 + 3b/4 + 3c/2 = 0

b + 2c = 3

(b - c) - (b + 2c) = -6 - 3

-3c = -9

c = 3

b - 3 = -6

b = -3

-16 + 4(-3) + 2(3) + d = 0

d = 22

I WILL GIVE BRAINLIEST
All of the following statements describe the relation shown except _____.
The diagram represents a function.
The inputs are {-1, 0, 3, 4}.
The outputs are {-2, -1, 1}.
This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}.

Answers

Answer:

132

Step-by-step explanation:

Answer:

{-1, 0, 3, 4}.

Step-by-step explanation:

sorry if this is incorrect

18/7 divided by 6/9 and how to get there

Answers

Answer:

27/7 or 3 6/7

Step-by-step explanation:

18/7 ÷ 6/9

~Copy dot flip

18/7 × 9/6

~Multiply both numerators and denominators

162/42

~Simplify

27/7 or 3 6/7

Best of Luck!

Which equation could be used to generate the following table?
x y
-2 7
-1 6
0 5
1 4
2 3
a
y = -x + 5
b
y = x + 5
c
y = 5x - 1
d
y = -x - 5

Answers

Answer:

ur welcome

Step-by-step explanation:

x is first so -2 and -1 and 0 and 1 and 2 all cancel each other out so no worries there then on to the other side you add it all and boom you done

Imma just leave this here imma do brainlyest

Answers

Answer: The can of Coke i would say because it cost least unless by best buy they mean higher price then the pepsi!

~ Zachary

What is the ratio of 11 inches to 3 feet? (Change the feet to inches.) Group of answer choices

11:36
36:11
3:11
11:3​

Answers

Answer:

The first option (11:36)

Step-by-step explanation:

When you convert the 3 feet to inches, you multiply by 12. There is 12 inches in each foot, so multiply 3 by 12 will result in 36.

We are comparing the 11 inches to the 3 feet (36 inches), so it would look like this:

11 : 36

(Can also be shown as 11 - 36)

1 Foot = 12 inches

3 feet x 12 = 36 inches.

Ratio = 11:36

Help please!!
Find the equation of a line perpendicular to 5x - 3y = - 2 that contains the point (-4,5). Write the equation in slope
intercept form

Answers

Answer:

Step-by-step explanation:

y=−3/5x+13/5

4/6 x 2/3 =

Help me please I’m stuck on this

Answers

Answer:

4/9 or 0.4

Step-by-step explanation:

Let f(x) = 6x^2 +5 and g(x) = 3x - 5. Find g(f(0)).

Answers

Answer:

The answer is 10.

Step-by-step explanation:

f(x) = 6* x^2 + 5

f(0) = 6*0^2 + 5 = 5

g(x) = 3x - 5

g(f(x)) = 3 * (f(x)) - 5

g(f(0)) = 3 * 5 - 5 = 10

Please help as soon as u see this!

Answers

Answer:

c, or 8

Step-by-step explanation:

Answer:

D

It would be either C or D because anything greater than 5, you move the next number up 1 digit.

Step-by-step explanation:

What is the quotient? 3/7 divided by 2/3

Answers

Answer:

3/7 divided by 2/3 is 9/14

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