Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50a + 3.75b = 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?

QUESTION POSTED AT 22/01/2020 - 02:16 AM

Answered by admin AT 22/01/2020 - 02:16 AM

Okay, so this is a multi-step problem. If there are 82 students, and the cost was $3.75 PER student, we would multiply 3.75 times 82 to get 307.50, and now we would subtract the total amount of sales, ($2,071.50), MINUS the ticket sales made by students, ($307.50). So 2,071.50 - 307.50 = 1,764.
So this means that they made $1,764 in ticket sales from ADULTS. Now to find out how many adults were THERE, (or the amount of adult tickets that were sold), we will divide 1,764 divided by the price of each adult ticket, ($10.50), which will be 1,764 divided by 10.50 = 168.
168 adult tickets were sold.
I hope I helped! =D
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Related questions

Write a linear expression in simplest form to represent the perimeter of the trapezoid. Then find the perimeter if the value of x is 7 yards. The sides of the trapezoid are (going in a clockwise direction starting from the top): (7x + 3) yd (6x + 3 ) yd (5x) yd (6x + 3) yd

Here, Out of all the options, Most appropriate expression for the linear value would be: Y = 5x
Where, y = perimeter of trapezoid
x = a base.

Now, x = 7, then, 
Y = 5(7)
Y = 35

In short, Your Answer would be Option C & 35

Hope this helps!

ANSWERED AT 20/02/2020 - 10:21 AM


QUESTION POSTED AT 20/02/2020 - 10:21 AM

What is the equation of a hyperbola with a = 6 and c = 8? Assume that the transverse axis is horizontal.

The standard equation for a hyperbola with a horizontal transverse axis is 

(x-h)^2/a^2 - (y-k)^2/b^2  = 1
 . The center is at (h, k) . The distance between the vertices is 2a . The distance between the foci is 2c and c^2 = a^2 + b^2. Therefore,

8^2 = 6^2 + b^2
b = 2
√7
Assuming it is located at the origin.

(x-h)^2/a^2 - (y-k)^2/b^2  = 1
(x)^2/6^2 - (y)^2/(2√7)^2  = 1
x^2/36 - y^2/28  = 1

ANSWERED AT 20/02/2020 - 09:54 AM


QUESTION POSTED AT 20/02/2020 - 09:54 AM

Which scenario is represented by this equation? 1200 =3×+120

G. is your answer have a nice evening

ANSWERED AT 19/02/2020 - 06:08 PM


QUESTION POSTED AT 19/02/2020 - 06:08 PM

Find the sum. write the sum as a mixed number , so the fractional part is less than 1. 4 1/2 + 2 1/2 ?

To answer this problem:

1. 4+2 is 6
2. 1/2 +1/2 is 1 whole
3. After finding these two steps, you add 1 and 6 together giving you...
4. 1 + 6 is 7. 
That's your answer, hopefully this helped ;) 

ANSWERED AT 19/02/2020 - 06:02 PM


QUESTION POSTED AT 19/02/2020 - 06:02 PM

Find the value of x that fits the equation: 24x - (3 - 0.06x) = 4(0.7 + 6).

24x-3+0.06x=4(6.7)
24.06x-3=26.8
24.06x=29.8
x=about 1.24

ANSWERED AT 19/02/2020 - 06:01 PM


QUESTION POSTED AT 19/02/2020 - 06:01 PM

Karen is financing a $285,000 mortgage for 30 years at a fixed rate of 7.15%. What is the total cost of the principal and interest after 30 years?

Answer:

692967/-

Step-by-step explanation:

Given that Karen is financing 285,000 dollars mortgage for 30 years at a fixed rate of 7.15%

Tenure = 30 years

Let us use amortisation calculator to find out the total cost of prinicipal and interest.

WE find that

Equal monthly instalment = 1924.91

Total interest paid = 407967

Total cost                =407967+285000 =692967/-

ANSWERED AT 19/02/2020 - 05:52 PM


QUESTION POSTED AT 19/02/2020 - 05:52 PM

Seth is trying to find the unit price for a package of blank compact discs on sale at 10 for $5.49. Find his mistake and correct it. Here's his math problem - 10/$5.49 =$1.82 each

He needs to flip the equation. So the real answer is 5.49/10=0.549

ANSWERED AT 19/02/2020 - 04:38 PM


QUESTION POSTED AT 19/02/2020 - 04:38 PM

Which number, when substituted for x, makes the equation 4x+8=164x+8=16 true?

Answer:

x=2

Step-by-step explanation:

We have been given an equation 4x+8=16. we are asked to find the value of x that makes our given equation true.

Let us solve our given equation for x using opposite operations.

Subtract 8 from both sides:

4x+8-8=16-8

4x=8

Divide both sides by 4:

\frac{4x}{4}=\frac{8}{4}

x=2

Therefore, x=2 is the solution for our given equation.

Let us verify our answer:

4x+8=16

4(2)+8=16

8+8=16

16=16

Both sides are equal. Hence proven x=2 is solution for our given equation.

ANSWERED AT 19/02/2020 - 04:35 PM


QUESTION POSTED AT 19/02/2020 - 04:35 PM

A school sells boxes of cookies each year for a charity fund. The data set shows the number of boxes the 10 families living on Willow Avenue buy, on average, every year. {2, 3, 2, 2, 0, 5, 2, 1, 1, 3} Does this data have negative, positive, or zero skew?

Answer:

This data set has zero skew as it is symmetric.

Step-by-step explanation:

We know that the symmetry exist in a data when the mean, median and mode of the data is same.

i.e. we are given a set of data as:

              {2, 3, 2, 2, 0, 5, 2, 1, 1, 3}

  • On arranging the data in increasing order we get :

    0  1   1   2   2   2   2   3   3   5

Hence, the value that occur in the middle is: 2

Hence, we have Median=2

  • Also, the mean is calculated as follows:

Mean=\dfrac{2+3+2+2+0+5+2+1+1+3}{10}\\\\\\Mean=\dfrac{21}{10}\\\\\\i.e.\\\\\\Mean=2.1

              Hence, Mean=2.1

  • Also, the mode of the data is the most frequently occurring data point in the set.

Here 2 occurs most number of times i.e. 4 times and hence we have:

                   Mode=2

Now, as the Mean, Median and Mode of the data are approximately same.

      Hence, we get the data is symmetric and hence has a zero skew.

ANSWERED AT 19/02/2020 - 04:25 PM


QUESTION POSTED AT 19/02/2020 - 04:25 PM

A line contains the points (82, −96) and (87, −86) . What is the slope of the line in simplified form?

A line contains the points (82, −96) and (87, −86) .What is the slope of the line in simplified form?
Here are the points: (82, −96) and (87, −86) You could let x1=82 and x2=87


ANSWERED AT 19/02/2020 - 04:21 PM


QUESTION POSTED AT 19/02/2020 - 04:21 PM

Use this figure to find the value of y ... Please help

The value of y is 65 because a right angle is 90 degrees so you take 22 plus 3 and subtract it from 90

ANSWERED AT 19/02/2020 - 04:03 PM


QUESTION POSTED AT 19/02/2020 - 04:03 PM

Round the number 18.7993 to the nearest hundredth

18.8 is your answer or 18.80 either one will work :)

ANSWERED AT 19/02/2020 - 03:58 PM


QUESTION POSTED AT 19/02/2020 - 03:58 PM

Alicia bought 3.8 pounds of cashews for $15.74. About how much was the cost per pound?

3 dollars at most 
i hope this helped

ANSWERED AT 19/02/2020 - 03:00 PM


QUESTION POSTED AT 19/02/2020 - 03:00 PM

20% of a number is x. What is 100% of the number? Assume x>0.

100% of a number would be 5 * 20.

5x

ANSWERED AT 19/02/2020 - 02:47 PM


QUESTION POSTED AT 19/02/2020 - 02:47 PM

The tip for excellent service in a restaurant is 20 for every 100 of the meal what is the total bill (cost of meal plus tip) for a 60 meal?

I would think the tip would be 15 wich would make the meal all together 85.

ANSWERED AT 19/02/2020 - 02:34 PM


QUESTION POSTED AT 19/02/2020 - 02:34 PM

How do I find the perimeter of any shape?

Add up all the sides

ANSWERED AT 19/02/2020 - 02:32 PM


QUESTION POSTED AT 19/02/2020 - 02:32 PM

Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school, and they each plan to donate the same number of books and reach a total donation of 300 books! How many books will Hannah have in her collection after her donation? Write your answer as an expression.

Answer:

b/50

Step-by-step explanation:                                                                          There were 150 students who donated a total of b books.

The students donated an average of b/150 books each.

Hannah donated 3 times as many books as the average.

b/150 * 3 = b/50

Hannah donated b/50 books.

ANSWERED AT 19/02/2020 - 02:30 PM


QUESTION POSTED AT 19/02/2020 - 02:30 PM

Find the value of "a" for which the graph of the first equation is perpendicular to the graph of the second equation. 1) equation : y=a/3x-6 2) equation 4x+2y=6 Their is the same problems but different equation.1) 3y+ax=8 2)3/4x+2

Perpendicular lines will have negative reciprocal slopes. Example : if u r given a slope of 1/3, to find the negative reciprocal, flip the slope and change the sign. So the negative reciprocal of 1/3 is -3/1 or just -3. So slope 1/3 and slope -3 are perpendicular.
==================
equation 2 : 
4x + 2y = 6
2y = -4x + 6
y = -2x + 3...the slope here is -2....a perpendicular line will have a slope of 1/2.

y = (a/3)x - 6......so we have to make a/3 = 1/2......1.5/3 = 1/2
so a = 1.5
===================
eq. 2 : 3/4x + 2
not sure what the entire equation is.....but it looks to have a slope of 3/4. That means a perpendicular line will have a slope of -4/3.

3y + ax = 9
3y = -ax + 9
y = (-a/3)x + 3.....therefore, a has to be 4


ANSWERED AT 19/02/2020 - 02:18 PM


QUESTION POSTED AT 19/02/2020 - 02:18 PM

How to find an equation of a line when given two points

Using any specific formula or what?

ANSWERED AT 19/02/2020 - 01:41 PM


QUESTION POSTED AT 19/02/2020 - 01:41 PM

33% of what number is 1.45?

It is 4.39 hope it helps


ANSWERED AT 19/02/2020 - 01:39 PM


QUESTION POSTED AT 19/02/2020 - 01:39 PM

Which of the following best describes the solution to the system of equations below? 7x + 4y = 8 7x + 4y = 13 A. The system of equations has exactly one solution where x=8 and y=13 . B. The system of equations has infinitely many solutions. C. The system of equations has no solution. D. The system of equations has exactly one solution where x=0 and y=2 .

The answer is D !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!                                                                               

ANSWERED AT 19/02/2020 - 01:34 PM


QUESTION POSTED AT 19/02/2020 - 01:34 PM

Thomas buys a cardboard sheet that is 12 by 8 inches. Create an equation for this situation, find the zeros, and sketch the function. What is the size of the cutout he needs to make so that he can fit the maximum amount of food in the box? If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be? What would be the dimensions of this box? Using complete sentences, explain the connection between the cutout and the volume of the box. Design an equation that would work for any cardboard sheet length, q, and width, p.

For the answer to the question above,

1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4

2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57

3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65

4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.

5. V = (q -2x) (p - 2x) (x)

ANSWERED AT 19/02/2020 - 01:10 PM


QUESTION POSTED AT 19/02/2020 - 01:10 PM

Find side b if a =10 inches and side c = 16 inches.

Then it would be 52inches or 160 inches depends of your looking for area or perimeter

ANSWERED AT 19/02/2020 - 12:49 PM


QUESTION POSTED AT 19/02/2020 - 12:49 PM

Which expression shows how to find the number of students that play each instrument. How many students play the clarinet?

8=f/2=answer hope this helps

ANSWERED AT 19/02/2020 - 12:36 PM


QUESTION POSTED AT 19/02/2020 - 12:36 PM

In the figure below, CEF is an equilateral triangle. Points B, C and E are collinear; Points A, C and F are collinear; g = 40 degrees; and k = 45 degrees. Find angle l. Show all work.

There exists the same question with the figure as shown in the attachment.

The given are:
g = 40 degrees
k = 45 degrees

Ask:
angle of " l "

So this is how to solve this:

Step 1:
Since CEF is an equilateral triangle, then each has 60 degrees.
i is equal to l because they are opposite angles

Step 2:
angle l is inside CEF, then the value of angle l is 60

ANSWERED AT 19/02/2020 - 12:21 PM


QUESTION POSTED AT 19/02/2020 - 12:21 PM