A movie theater sells popcorn and fountain drinks. Brett buys 1 popcorn bucket and 3 fountain drinks for his family, which costs him a total of $12.50. Sarah buys 3 popcorn buckets and 4 fountain drinks for her family, which costs her a total of $23.75. If p represents the number of popcorn buckets and d represents the number of drinks, then the system of equations

Answers

Answer 1

Answer: the systems of equations to solve the unit price  of popcorn and rinks are

1 p + 3 d= 12.50---- equation 1

3 p + 4 d=  23.75 ---- equation 2

The price of A popcorn bucket  = $4.25 and price of 1 fountain  drink = $2.75

Step-by-step explanation:

Step 1

If p represents the number of popcorn buckets

and d represents the number of drinks,

The expression that  Brett buys 1 popcorn bucket and 3 fountain drinks for his family, which costs him a total of $12.50 becomes

1 p + 3 d= $12.50

and The expression that Sarah buys 3 popcorn buckets and 4 fountain drinks for her family, which costs her a total of $23.75 becomes

3 p + 4 d=  $23.75

such that the systems of equations to solve the unit prices of popcorn and drinks are

1 p + 3 d= $12.50---- eqn 1

3 p + 4 d=  $23.75 ---- eqn 2

Step 2

1 p + 3 d= $12.50---- eqn 1

3 p + 4 d=  $23.75 ---- eqn 2

Multiplying equation 1 by( 3 )

1 p + 3 d= $12.50---- eqn 1 x 3

3p+ 9d= 37.5----- equation 3

and subtracting equation 2 from  equation 3  becomes

3p+ 9d= 37.5----- equation 3

- 3 p + 4 d=  $23.75

5d= 13.75

d= 13.75/5

d= 2.75

to find p, sinceaa d = 2.75,

1 p + 3 d= 12.50

1 p + 3  x 2.75= 12.50

p= 12.50-8.25

p=4.25

THerefore the price of popcorn = $4.25 and price of drinks = $2.75


Related Questions

I need help with this problem

Answers

Answer:

-0.125 or -1/8

Step-by-step explanation:

switch the numerator and denominator and then divide. So, -8/1 should switch to 1/-8, and then you divide the two to get, your answer, -0.125

21 The graph of an exponential function is shown on the grid.
Based on the graph, which statement about the function is true?
A The range is the set of all real numbers less than 0.
B The domain is the set of all real numbers greater than-4.
C The range is the set of all real numbers greater than 0.
D The domain is the set of all real numbers less than-4.

Answers

Answer:

C The range is the set of all real numbers greater than 0.

Step-by-step explanation:

We see that the function has positive range and no restriction of domain.

A The range is the set of all real numbers less than 0.

Incorrect, positive values only

B The domain is the set of all real numbers greater than-4.

Incorrect, the domain can get any value

C The range is the set of all real numbers greater than 0.

Correct, the range is restricted to positive values

D The domain is the set of all real numbers less than-4.

Incorrect, no restrictions

Answer:

C is the correct answer!!

Step-by-step explanation:

hope this helped!!

Brandon has 6 eggs. He needs 2/3 of the eggs to make an omelet. How many eggs does he need?

Answers

Answer:

4

Step-by-step explanation:

He need 4 eggs to make an omelet.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Brandon has 6 eggs.

And, He needs 2/3 of the eggs to make an omelet.

Here, Number of eggs = 6

And, He needs 2/3 of the eggs to make an omelet.

Hence, We get;

Number of egg to make an omelet = 2/3 of 6

                                                      = 2/3 × 6

                                                      = 4

Thus, Number of eggs to make an omelet = 4

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

PLZ I NEED HELP ILL GIVA YALL BRAINLIEST

Answers

Answer:

39 possible outcomes.

Step-by-step explanation:

Since there are 52 cards in a deck and Jane has 3 decks, that would give Jane 156 cards, leaving us to divide that number by 4 because 4 cards are dealt at the start of the game.

Suppose you are driving. You notice that after driving for 4 hours, you are 135 miles from Seattle. You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. What is your rate? How far do you drive every 9 hours? How far from Seattle are you after driving for 17 hours?

Answers

Answer:

1,423

Step-by-step explanation:

Your average rate is 36.7 miles per hour over nine hours

What is Average speed?

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

In the first 4 hours, you've averaged 33.75 miles per hour, but this is apparently not sustainable, since at 9 hours you've only averaged 36.7 miles/hour.

You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. you've averaged 31.8 miles per hour

So the answer is that your average rate is 36.7 miles per hour over nine hours, although you did manage a faster burst of 50 mph for four hours once.

Learn more about the average speed here :

brainly.com/question/12322912

#SPJ2


What are the
coordinates of
the outlier in the
scatterplot
shown?

Answers

Answer:

6,4

Step-by-step explanation:

F is the whole way out there, away from all the other dots and has a 6,4 coordinate.

6,4 I think I’m not sure

Find the vertex following equation: x2 + 10x = 21

A: (5, -46)
B: (-5, 54)
C: (-5, -46)
D: (5, 54)

Answers

i thinks that something is wrong i don't get you answers but i checked my task twice.

Factor using GCF then AC:
9x2 - 39x - 30

Answers

Answer:

3(x^2-13x-10)

Step-by-step explanation:

You can only factor out 3, as that is the only thing these have in common.

4. 8 16,
Find the next 3 term of geometric sequence

Answers

Answer:

32, 64, 128

Step-by-step explanation:

Let us start by looking at the geometric progression. A geometric progression multiplies each number by a constant, which we can name r, to get the next term. Let us find this constant:

16÷8=2

8÷4=2

Both expressions confirm that our r, the constant, is indeed 2.

To find the next few terms, we simply multiply by r:

1. 16r=16×2=32

2. 32r=32×2= 64

3. 64r= 64×2 = 128

I hope this helps! Please let me know if you have any further questions :)

What is 1.8(x-4.2)+x simplified, I do not need to know what is x is, I just wanted to know what the equation is simplified

Answers

Answer:

2.8x - 7.56

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

I NEED HELP PLZ , i’m stuck and i don’t get it

Answers

Answer:

Step-by-step explanation:

2x+6+2x+6+2x+6=180

why, bc they all have equal sides

6x+18=180

6x=162

x=27

Matt is given 9/10 hours to shovel a driveway. He only uses 2/3 of the given time to shovel the driveway. How much time is left?

Answers

Answer:

0.23333333333

Step-by-step explanation:

Answer:

7/30

Step-by-step explanation:

first make them both have common denominator

9/10= 27/30

2/3=20/30

they both go into 30 then subtract 27/30 and 20/30

The perimeter of a square is 68 inches. Write and solve an equation to find the length of its sides.

Answers

Answer:

17

Step-by-step explanation:

68/4=17

all 4 sides are equal lengths since it is a square.

Answer:

Step-by-step explanation:

68+68+68+68= (or 68x4) 272 inches

If x = 5y - 1 and 2x + 5y = -32, what is the value of y?​

Answers

Answer:

y = 2 and five together

Step-by-step explanation:

Write an expression for the total amount Carla has paid after a certain number of months

Answers

Answer:

$25.00+$36.00m

Step-by-step explanation:

the sum of a number and 7 is -12

Answers

Answer:

Please put the rest of the answer

Step-by-step explanation:

Answer: 7?

Step-by-step explanation:

A 6 ft tall petrified stump standing next to a car casts a 12 ft shadow. If the car casts a shadow that is 6 ft long, then how tall is it?

Answers

Answer:

3 feet tall

Step-by-step explanation:

Work out the percentage change to 2 decimal places when a price of £125.99 is increased to £150.

Answers

Answer:

Percent change is 19.06%

Step-by-step explanation:

It is given that:

Price before change = £125.99

Price after increase = £150

Change = 150 - 125.99 = £24.01

Percent of change = [tex]\frac{Change}{Price\ before\ change}*100[/tex]

Percent of change = [tex]\frac{24.01}{125.99} * 100[/tex]

Percent of change = 0.1906 * 100

Percent of change = 19.06%

Therefore,

Percent change is 19.06%

Answer:

19.06

Step-by-step explanation:

Select the correct answer.
What is the end behavior of this radical function?

Answers

Answer:

A.

Step-by-step explanation:

As x approaches positive infinity, f(x) approaches positive inifinty.

helllllpppp the question is down here vvvv:

Answers

Answer:

Hope this helps

Step-by-step explanation:

I believe the ¨Five less than twice a number" is

[tex]2x-5[/tex]

¨Five times the sum of two numbers¨

[tex]5(x+y)[/tex]

¨The difference of 5 and a number squared¨

[tex](5-x)^{2}[/tex]

Answer:

First Box is:  5 - 2x

Second Box is: 5(x + y)

Third Box is: (5 - x)²

Step-by-step explanation:

The First one said "Five less than twice a number"

It said Five less than, meaning 5 (subtract)Twice mean 2 and a number means a VARIABLE. Answer: 5 - 2x

The second one said "Five times the sum of two numbers"

Five times means 5 (multiplication)Sum means adding and two numbers means two variables.Answer: 5(x + y)

The thrird one said "The difference of 5 and a number, squared"

The difference means subtracting of 5a number means a variablesquared, means an exponent of 2Answer: (5 - x)²

All of these answers seems to fit the descriptions.

Marlowe loves to draw. She wants to refine her skills and start taking drawing lessons at a local art studio. The table shows the cost of drawing lessons.

Answers

Sorry im a little late but here's how i did it.

Hope this helps! :)

eremy constructed this solid by combining two rectangular prisms and a square pyramid.

A rectangular prism with a length of 6 meters, width of 14 meters, and height of 2 meters. A rectangular prism with a length of 5 meters, width of 8 meters, and height of 3 meters. A square pyramid with a base of 6 meters by 6 meters and triangular sides with a height of 7 meters.


What is the surface area of this figure?

_____________ square meters
320
322
368
386

Answers

368 square meters is the answer

what is 125% of 12.8

Answers

What is 125 percent (calculated percentage %) of number 12.8? Answer: 16.

The required value of the given percentage is 16. "125%" represents 125 parts out of 100, which is equivalent to 1.25 times the original value.

To find 125% of 12.8, we can multiply 12.8 by 1.25.

First, we convert the percentage to decimal form by dividing it by 100. So, 125% becomes 1.25.

Next, we multiply 12.8 by 1.25:

12.8 × 1.25 = 16.

Therefore, 125% of 12.8 is 16.

Multiplying 12.8 by 1.25 increases it by 25% or adds one-quarter of the original value. Thus, the result of 16 represents an increase of 25% from 12.8.

Thus, the required value of the given percentage is 16.

Learn more about percentages here:

brainly.com/question/24159063

#SPJ6

what is 10 x 1080? Can someone help?

Answers

the answer is 10080 you can use a calculator for this

Answer:

10,800

Step-by-step explanation:

1. Multiply the ones

2. Multiply the tens

3. Multiply the hundreds

4. Multiply the thousands

5. Multiply the ten - thousands

Follow the steps and you will get the answer!

What is the definition of acre

Answers

Answer:

The definition of Acre is a unit of land area equal to 4,840 square yards (0.405 hectare). :)

Step-by-step explanation:

Answer:

a unit of land area equal to 4,840 square yards

Step-by-step explanation:

Can someone solve this?

Answers

Answer:

[tex]y = \frac{1}{9} x + 3\frac{1}{3}[/tex]

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

y=1/9x+10/3

Explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula  to find the line perpendicular to  y = − 9 x − 4 .

Carlos purchased 6 dog leashes and 5 cat brushes for $32. Later in the summer, he purchased 3 more dog leashes and 2
cat brushes for $14. What were the prices of the leashes and brushes?

Answers

Answer:

all together the total amount of money spent was 46$

Step-by-step explanation:

i will mark u as the brainlest if you can help me with 4 question

Answers

Answer:

B, C, D

Step-by-step explanation:

They have the < or > they are inequalities

Calculate the slope of the line on the graph using the
formula:
72-V1
m
X2 - X
The slope of the line is
_____m/s.

Answers

Given:

The graph of a line which represents position (m) at time (s).

To find:

The slope of the line.

Solution:

Formula for slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line passes through two points (0,0) and (1,4).

Using the above formula, we get

[tex]m=\dfrac{4-0}{1-0}[/tex]

[tex]m=\dfrac{4}{1}[/tex]

[tex]m=4[/tex]

Therefore, the slope of the line is  4 m/s.

Answer:

4

Step-by-step explanation:

How many degrees does the polynomial 6c9 have

Answers

Answer:

None, there are no degrees/exponents

Step-by-step explanation:

Hope this is helpful :)

Answer:

has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term

Other Questions
Triangle A'B'C' is a dilation of AABC. What is AB?B'B6A410CA15oA. 4oB. 5C. 9oD. 16 A class of 32 students earnedgrades of A, B, C, or Don a test.One-fourth of the students earnedan A Half of the remaining studentsearned a B. Two students earned aD. What fraction of the studentsearned a C? listen to the sentence and select juans professionn Help me please!!!!!!!!!!!!!!!! How are the number of representatives per state in the House of Representatives determined?(3 points)a.Every state gets exactly two representativesb.Every state gets exactly one representativec.By the population deach stated.The president decides What is the relationship between force, mass, and acceleration with Newtons second law of motion? 2.Social values are actions or ideals that are considered vital in maintaining an orderly societysuch as mentioned below, EXCEPT?a. CooperationC. Negligence of Dutyb. Obedience to the Lawd. Concern for others please help do not answer if u don't know it What is 10 to the 3rd power x n = 690 How does llfe depend on the sun tue/falseThe Place valueof Thedigit 5 in 26,59,360 in Ten Thousand Brainliest to first:)))))) 20x9 i need help please!! Your Spanish teacher comes back after the holidays and is telling you about the places he travelled.He says: Durante las vacaciones, viaje a Europa con mi familia. Era difcil decidir exactamente dnde ir, porquetodo el mundo quera visitar diferentes lugares. Mi hijo quera ver la catedral de Barcelona, mis dos hijas querantomar el tren para ir a Amsterdam, y mi esposa quera probar el vino en Roma. Despus de todo, fuimos a Parspara ver todos sus monumentos espectaculares. Nos divertimos un montn juntos, iy ahora tengo fotos paramostrarles! In which of the following types of home did North Eastern people often live? A. wigwamB. tepeeC. iglooD. pueblo 5. Cules son las responsabilidades que los jvenes deben tener con respecto a los adultos mayores? Thomas Jefferson author of the Declaration of Independence was extremely well educated. A. Correct as isb. Thomas Jefferson author of the Declaration of Independence, was extremely well educated.c. Thomas Jefferson, author of the Declaration of Independence was extremely well educated. d. Thomas Jefferson, author of the Declaration of Independence, was extremely well educated. Darlene earns $12.10/h. She works for 33 h one week. How much did she earn? Throughout World War I, for which activity were airplanes most often used?bombing targets on landtransporting soldiers and weaponsfightinggathering information A researcher is training laboratory rats to run a complex maze. Each time the rats learn a new part of the maze, they are rewarded with a pellet of food. Within a few hours, the rats have learned the entire maze. Which of the following did the researcher use to teach the rats the maze?A. ShapingB. GeneralizationC. Negative reinforcementD. A fixed-interval schedule of reinforcementE. Spontaneous recovery