A teacher supply store is sponsoring a raffle for teachers to win school supplies. The price of a raffle ticket is $1.00. For teachers the raffle tickets are 40% off, while for administrators there is a 10% discount. Ms. Russell purchased a combination of teacher-discount tickets and administrator-discount tickets for a total of 351 raffle tickets for the entire school. If she spent a total of $250.50 on raffle tickets, how many of each type did she purchase?

Answers

Answer 1

Answer:

Ms. Russell purchased 218 teacher-discount tickets and 133 administrator-discount tickets.

Step-by-step explanation:

Let's start by defining the variables:

Let t be the number of teacher-discount tickets purchased by Ms. Russell.

Let a be the number of administrator-discount tickets purchased by Ms. Russell.

From the problem statement, we know that:

The price of a raffle ticket is $1.00.

Teachers get a 40% discount, so they pay only 60% of the regular price.

Administrators get a 10% discount, so they pay only 90% of the regular price.

Ms. Russell purchased a total of 351 tickets.

Ms. Russell spent a total of $250.50.

We can use these facts to set up a system of two equations:

t + a = 351 (the total number of tickets)

0.6t + 0.9a = 250.50 (the total amount spent, taking into account the discounts)

To solve for t and a, we can use substitution or elimination. Let's use elimination:

Multiplying the first equation by 0.6, we get:

0.6t + 0.6a = 210.6

Subtracting this equation from the second equation, we get:

0.3a = 39.9

Dividing by 0.3, we get:

a = 133

Substituting this value into the first equation, we get:

t + 133 = 351

t = 218

Therefore, Ms. Russell purchased 218 teacher-discount tickets and 133 administrator-discount tickets.


Related Questions

(Geometry) PLZ HELP ASAP!

(Geometry) PLZ HELP ASAP!

Answers

Answer: 133 m^2

Step-by-step explanation:

The area of the parallelogram is:

\(A = b\times h=9.5\times14=133 m^2\)

Rolando is 13. In five years, his age will be 3/2 the age of his sister Marisa. How old will Marisa be in three years.

Answers

16 yah lol i know this

ayuda plis /help please ​

ayuda plis /help please

Answers

Answer:

a. 8

b. -12

c. 18

d. -22

e. 14

f. -2

g. -16

creo q seria asi no estoy muysegurappp

Identify the center and radius of a circle with equation (x-5)^2+(y+3)^2=25

Answers

The center and radius of the circle is (5, -3), and 5 respectively.

What is the center and radius of the circle?

The standard form equation of a circle with center (h, k) and radius r is:

(x - h)² + (y - k)² = r²

Given the equation of the circle in the question:

( x - 5 )² + ( y + 3 )² = 25

To identify the center and the radius.

Comparing this equation ( x - 5 )² + ( y + 3 )² = 25 to the standard form of a circle equation, which is (x - h)² + (y - k)² = r², we can easily identify the center and radius of the circle.

( x - 5 )² + ( y + 3 )²

(x - h)² + (y - k)² = r²

The center of the circle is given by the values (h, k), which correspond to the opposite signs of the terms inside the parentheses.

In this case, the center of the circle is (5, -3), as we have (x - 5)² and (y + 3)².

The radius of the circle is the square root of the value on the right side of the equation.

In this case, the radius is √25, which simplifies to 5.

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2+2=
a. 3
b. 5
c. 4
d. 7

Answers

Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

in this figure below triangle GHI is similar to Triangle MHL what is the distance between M and H 12 16 24 or 27


I'll mark anyone who answers this question brainliest please help I'm about to fail​

Answers

The distance between M and H is given as follows:

x = 21.3.

What are similar triangles?

Similar triangles are triangles that share these two features presented as follows:

Congruent angle measures.Proportional side lengths.

The proportional relationship between the side lengths is given as follows:

x/18 = 24/16

Applying cross multiplication, the distance between M and H is obtained as follows:

16x = 24(18)

x = 24 x 18/16

x = 27.

Missing Information

The diagram is given by the image presented at the end of the answer.

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in this figure below triangle GHI is similar to Triangle MHL what is the distance between M and H 12

Find the area of a square
with a side length of 3/4

Answers

Answer:

area of square

= side × side

= 3/4 ×3/4

=9/16

Determina el valor de la expresión:

4 + 3 [4 – 26 – 3)] ÷ 2​

Answers

Answer:

-33.5, -71/2, or 35 1/2  they are all the same

Step-by-step explanation:

what fraction is equivalent to 16.6 repeating

Answers

the answer is 16 2/3 ?

Answer:

It is 16.666…

let 16.666 be x :

\(x = 16.666 - - - (i) \\ 100x = 1666.666 - - - (ii)\)

subtract (i) from (ii):

\(99x = 1650 \\ \\ x = \frac{1650}{99} = { \boxed{ \boxed{ \frac{50}{3} }}}\)

Solve for z in equation (z-1)^3+z^3=0​

Answers

Answer:

z= 1

Step-by-step explanation:

\((z-1)^{3}\) + z^3= 0

\(z^{3} - 3z^{2} +3z-1 + z^{3} =0\)

2z^3 - 3z^2 + 3z - 1 = 0

z(2z^2 - 3z +3) - 1 = 0

z= 1 or 2z^2 - 3z +3= 0

          z∈IR

  ∴z= 1

Answer:

\(z = \frac{1}{2} \\ z = \frac{1 + i\sqrt{3} }{2} \\ z = \frac{1 - i\sqrt{3} }{2} \)

where the last two are needed only over the complex

Step-by-step explanation:

first of all, we can see thay is the sum of two cubes, whixh has a known factorization

\({x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2} )\)

in our case, the expression becomes

\(((z - 1) + z)( {(z - 1)}^{2} - z(z - 1) + {z}^{2} )\)

at this point, since if a product is zero either factor needs to be zero:

if you are to solve over the real numbers, the only factor that contibutes is the first, which gives you

\(z = \frac{1}{2} \)

and you're done;

if you want complex solution, we need to handle the second part. it's simple algebra, we just multiply to get\( {z}^{2} - 2z + 1 - {z}^{2} + z + {z}^{2} = 0 \\ {z }^{2} - z + 1 = 0 \\ z = \frac{1 \pm i\sqrt{3} }{2} \)

If 45 cookies will serve 15 students, how many cookies are needed for
30 students? Examples 1 and 2)

Answers

Answer:

Step-by-step explanation:

If a die is rolled one time, find the probability of getting a six.
P(6) = ?

Answers

Answer:   \(\;\;\frac{1}{6} , \;\; 0.16667,\;\; \text{or about}\;\;17\%\)

Step-by-step explanation:

   A regular dice has 6 sides, and only one of those sides side has a six.

        We write probability as;

   \(\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} = \frac{\text{number of times six is on the dice}}{\text{number of numberss on the dice}} =\frac{1}{6}\)

Hi, there!

 _______

\(\boxed{\boxed{\sf{Probability=\dfrac{Favorable \ Outcomes}{Total \ Outcomes}}}}\)

Here,

» Favourable Outcome(s) -> getting a 6 on a die (1 outcome),  because only one side of a die has a six on it

» Total Outcomes -> 6 (you can only get 1, 2, 3, 4, 5, 6 if you roll one die)

So,

\(\sf{Probability_{(6)}=\dfrac{1}{6}}\)

Hope the answer - and explanation - made sense to you,

happy studying!!

                                                                                                        \(\tiny\textit{frozen \ melody}\)

The graph of g(x), shown below, resembles the graph of f(x) = x - x2, but it
has been changed somewhat. Which of the following could be the equation
of g(x)?
Anxx
O A. f(x) = (x + 2)4 - (x + 2)2
B. f(x) = x - x2-2
C. f(x) = (x - 2)4 - (x - 2)2
O D. f(x) = x - x2 + 2

Answers

Answer:We are given function f(x) = x^4 - x^2.

We need to find the equation of function g(x) according to shown graph.

We can apply rules of transformation to get the function g(x) by using given graph.

Function g(x) graph is being shift a half or 0.5 units up of the graph f(x).

When graph shift k units up, we add k to given function.

Where k is some constant.

In the graph f(x) is being shifted 0.5 units up.

So, we would add 0.5 in f(x) = x^4 - x^2 function.

On adding 0.5 we get

g(x) = f(x)+0.5 = = x^4 - x^2 +0.5.

Therefore, correct option is second option.

g(x) =  x^4 - x^2 +0.5.

Step-by-step explanation:

A relationship is represented by the equation y = x - 12 which of the following tables best represent the equation

Answers

A table that best represent the equation include the following: H. table H.

How to determine the table that best represent the equation?

In order to determine the table that best represent the equation, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = 1 in table F, the linear function is given by;

y = x - 12

y = 1 - 12

y = -11 (False).

When the value of x = 0 in table G, the linear function is given by;

y = x - 12

y = 0 - 12

y = -12 (True).

When the value of x = 2 in table G, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (False).

When the value of x = 0 in table H, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (True).

When the value of x = 4 in table H, the linear function is given by;

y = x - 12

y = 4 - 12

y = -8 (True).

When the value of x = 6 in table H, the linear function is given by;

y = x - 12

y = 6 - 12

y = -6 (True).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

A relationship is represented by the equation y = x - 12 which of the following tables best represent

Marisol is 415.5 miles from home. She drives an average of 55 miles per hour on her trip home. Determine after how many hours Marisol will be 113 miles from home.

Answers

The number of hours that Marisol will be 113 miles from home is 5.5 hours.

How to calculate the equation?

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

Since Marisol is 415.5 miles from home. She drives an average of 55 miles per hour on her trip home.

Let the number ot hours be h.

The number of hours that Marisol will be 113 miles from home will be:

415.5 - 55h = 113

55h = 415.5 - 113

55h = 302.5

Divide

h = 5.5 hours

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what is the perimeter and area of a square with a length of 96 and width of 56

Answers

Lenght(L) = 96

Width(B) = 56

perimeter =

Help me!!
What is x?
-0.5x=-22

Answers

Answer:

44

Step-by-step explanation:

Answer:

x=44

Step-by-step explanation:

22÷0.5=?

22x2=44

sin500-sin700+sin100

Answers

Answer:

−1.518108

Step-by-step explanation:

pretty sure this is it, if not just message me and ill be more than happy to help you out :)

. Write each expression using exponents: 2 * 2 * m* m​

Answers

Hi!

For this problem, we can use exponents of 2, meaning squared. A number squared is just a number times itself, and in this problem, we can see the numbers are being multiplied by themselves.

Therefore, it can be written like:

\(2^2m^2\) OR \(2^2 * m^2\)

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Subtract 4 from 8. Then, multiply by z.

Answers

Answer:

Kinda vague but here...

Step-by-step explanation:

z*(8-4)
z*(4)
4z

Whats the height of the rectangular prism

Whats the height of the rectangular prism

Answers

Answer:

length l = 32.25 m

width w = 8223.75 m

height h = 12.5 m

diagonal d = 8223.82273 m

total surface area Stot = 736831.875 m2

lateral surface area Slat = 206400 m2

top surface area Stop = 265215.938 m2

bottom surface area Sbot = 265215.938 m2

volume V = 3315199.22 m3

Step-by-step explanation:

Help me with this question

Help me with this question

Answers

Answer:

From least likely to most likely

Event 4  Event 3Event 2Event 1

Step-by-step explanation:

Event 1 : Choosing either a  yellow or black marble from bag A
P(Event 1 ) = 1 because when you choose a marble from bag A, it must be one of the two colors

Event 2: yellow marble from Bag A
There are 9 yellow marbles and a total of 15 marbles
So P(Event 2 ) = 9/15 = 3/5 = 0.6


Event 3: black marble from bag B
There are 10 black marbles and a total of 20 marbles
P(Event 3 + 10/20 = 1/2 = 0.5

Event 4: green marble from bag B
There are no green marbles in bag B
P(Event 4) = 0

0 < 0.5 < 0.6 < 1
So the order of events from least likely to most likely is

Event 4    
Event 3
Event 2
Event 1

For the transformation to be defined as a rotation, which
statements must be true? Select three options.

Answers

The answers are 1,2,3,5

PLEASE ANYONE HELP ME? :D

PLEASE ANYONE HELP ME? :D

Answers

9514 1404 393

Answer:

  B, C

Step-by-step explanation:

The equation for the circumference C of a circle of diameter d is ...

  C = πd

That is, π is the constant of proportionality between circumference and diameter.

Clearly, when the diameter is 1, the circumference will be π.

__

π is the circumference when diameter is 1.

π is the constant of proportionality between circumference and diameter.

Emily is walking around her neighborhood. After walking for 6 minutes, she traveled 4 blocks. After walking for a total of 15 minutes at the same rate, she traveled 10 blocks. Given that Emily walked at the same pace the entire time, how long did it take her to travel 8 blocks?

Answers

Answer:

12 minutes

Step-by-step explanation:

Emily is walking around her neighborhood. After walking for 6 minutes, she traveled 4 blocks. After walking

Answer: 12 Minuets

Step-by-step explanation:

Help ASAP!!! Pls and thx

Help ASAP!!! Pls and thx
Help ASAP!!! Pls and thx
Help ASAP!!! Pls and thx
Help ASAP!!! Pls and thx
Help ASAP!!! Pls and thx

Answers

Answer:

ture

Step-by-step explanation:

3.1 A family, living in a suburb, has a circular swimming pool with dimensions as shown below. The pool is situated in the middle of the yard and it also has a circular fence around it. The fence is 2 metres from the pool. Depth Dimensions: Diameter 480 cm Diameter You may use the following formulae: Volume of circular pool = × radius × radius depth, where = 3,142 Circumference of the fence = 2 × 7 × radius, where = 3,142 1 m³ 1 000 litre 3.1.1 The capacity of the pool is 30 000 litres. Calculate to the nearest metre the depth of the pool. (7)​

Answers

Rounded to the nearest meter, the depth of the pool is 2 meters.

Understanding How to Solve Depth Problem

We can use the formula for the volume of a cylinder (which includes a circular pool) to solve for the depth:

Volume of circular pool = π × radius² × depth

We are given that the capacity of the pool is 30,000 liters. Since 1 m³ = 1,000 liters, we can convert the capacity to cubic meters:

30,000 L ÷ 1,000 L/m³ = 30 m³

Now we can plug in the given diameter of the pool (480 cm) to find the radius:

radius = diameter ÷ 2 = 480 cm ÷ 2 = 240 cm

We can convert the radius to meters:

240 cm ÷ 100 cm/m = 2.4 m

Finally, we can solve for the depth:

Volume of circular pool = π × radius² × depth

30 m³ = 3.142 × (2.4 m)² × depth

Solving for depth, we get:

depth = 30 m³ ÷ (3.142 × (2.4 m)²) ≈ 1.9 m

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A mystery element has 18 protons. Which one of the following statements is true about the element?

Answers

Answer:

My guess would be B

Step-by-step explanation:

Helium, neon, argon, krypton, xenon, and radon are also noble gases, in order of density. These are termed noble gases as they're so magnificent that, in general, they do not react with something.

The number of valence electrons determines the number of elements in a set.The number of outer electrons decides the number of components in a period.The electrical configuration of both the element is 2,8,8.Their electron energy count is 8, indicating that it belongs to Group 8/O.Its electrons shell count is three, indicating it is in period (row) 3 Noble gases are elements in the Group 8/O family.

Therefore, the answer is "Its chemical is categorized as a noble gas that belongs to row 3 of the periodic table".

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A mystery element has 18 protons. Which one of the following statements is true about the element?

Can somebody help me please

Can somebody help me please

Answers

Answer:

330

Step-by-step explanation:

the actual answer is 328.77. 15% was 42.88

Answer:

330$

Step-by-step explanation:

the actual answer is 330$ it is true if you not believe then go

Let set A = {2, 4, 6, 8} and set B = {1, 2, 3, 4, 5, 6, 7, 8}.

Which set represents A ∩ B?

{1, 2, 3, 4, 5, 6, 7, 8}
{1, 3, 5, 7}
{1, 1, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8}
{2, 4, 6, 8}

Answers

The intersection of the given sets is represented as A ∩ B = {2, 4, 6, 8}.

Option (D) is correct.

What is the intersection of two sets?

The intersection of two sets, A and B, is the set of elements that are common to both sets. It is often represented by A ∩ B.

In this case, Set A = {2, 4, 6, 8} and set B = {1, 2, 3, 4, 5, 6, 7, 8}. The set that represents A ∩ B is {2, 4, 6, 8} because these are the elements that are common to both sets A and B.

So the correct answer is {2, 4, 6, 8}

Hence, the intersection of the given sets is represented as A ∩ B = {2, 4, 6, 8}.

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