Samantha went to a concession stand and bought three pretzels and four sodas and paid a total of $11.25 for them. Raza went to the same stand and bought five pretzels and two sodas and paid a total of $8.25.
(a) Could pretzels have cost \$1.75 each and sodas $1.50 each ? How can you evaluate based on the information given ?
(b) Letting x equal the unit cost of a pretzel and letting y equal the unit cost of a soda, write a system of equations that models the information given .
(c) Solve the system of equations using the elimination method or a matrix,
(d) Leah went to the same concession stand and bought two sodas, how many pretzels would she need to buy so that she spent the same amount on both

Answers

Answer 1

Answer:

No, because their respective prices are $0.75 and $2.25

Step-by-step explanation:

Let's assume that the price of each pretzel is x and the price of each soda is y

3x + 4y = 11.25_____ equation 1

5x + 2y = 8.25_____ equation 2

Multiply equation 2 by the figure 2 so as to have both equation sharing the same coefficient of y

10x + 4y = 16.5____ equation 1

3x + 4y = 11.25____ equation 2

Now subtract equation 2 from 1

7x = 5.25

X = 5.25/7

X = 0.75

Now substitute x = 0.75 in equation 1

10x + 4y = 16.5

10(0.75) + 4y = 16.5

7.5 + 4y = 16.5

4y = 16.5 - 7.5

4y = 9

Y = 2.25

Therefore,the cost of each pretzel is $0.75 while that of soda is $2.25


Related Questions

PLEASE HELP
7x-3= -24 what is x and how do you find it?

Answers

Answer:

x = -3

Step-by-step explanation:

7x - 3 = -24 (Given)

7x - 3 + 3 = -24 + 3 (Added 3 on both sides by using the addition property of equality)

7x = -21 (Simplified)

7x/7 = -21/7 (Divided 7 on both sides by using the division property of equality)

x = -3 (Simplified)

Therefore, x = -3.

Answer:

x= -3

Step-by-step explanation:

You do the opposite.

So,

-24 +3

= -21

-21/ 7

= -3

Therefore, the answer is -3

12. ALGEBRA Sherri Cole found that the 12-ounce can of frozen orange juice
sells for $0.16 less than the 16-ounce can, which is $0.68 less than the
24-ounce can. If the unit price of the 24-ounce can is $0.005 less than the
unit price of the 12-ounce can, which of the three is the best buy based
on the lowest unit price?

Answers

Answer:

96 = x

Step-by-step explanation:

I'm going to use cents instead of dollars because I find decimals and fractions to be cumbersome. I assume you meant $.005 instead of 4.005.

Let x denote the price (in cents) of the 12-ounce can. Then the price of the 16-ounce can is (x + 16) cents, and the price of the 24-ounce can is ((x + 16) + 68), or (x + 84) cents.

The unit price (cents per ounce) of the 12-oz can is x/12

The unit price of the 16-oz can is (x + 16)/16

The unit price of the 24-oz can is (x + 84)/24

You are told that, in terms of x,

(x + 84)/24 = x/12 - 0.5

Multiply both sides by 24:

x + 84 = 2x - 12

Solve for x:

96 = x

So the unit prices (in cents per ounce) are:

12 oz: 96/12 = 8 cents/oz

16 oz: 112/16 = 7 cents/oz

24 oz: 180/24 = 7.5 cents/oz

So the 16 ounce can is the best buy based on lowest unit price.

In this exercise we have to use the knowledge of finance to calculate the best price to be offered, in this way:

[tex]12 oz: 96/12 = 8 cents/oz\\16 oz: 112/16 = 7 cents/oz\\24 oz: 180/24 = 7.5 cents/oz[/tex]

Some values ​​should be simplified as they were informed in the statement:

The unit price (cents per ounce) of the 12-oz can is x/12The unit price of the 16-oz can is (x + 16)/16The unit price of the 24-oz can is (x + 84)/24

So putting together an equation with these values ​​and terms informed we find that:

[tex](X + 84)/24 = X/12 - 0.5\\X + 84 = 2X - 12\\X=96[/tex]

So with the value of X found it is only necessary to use the previous equations and replace this value.

See more about finances at brainly.com/question/10024737

Jill buys two circular pizzas.  The small pizza has an 8-inch diameter. The medium pizza has a 12-inch diameter. How much greater, in square inches, is the area of the medium pizza than the small pizza? Round your answer to the nearest tenth. ​

Answers

Answer:

Medium pizza is 62.83 square inches greater than smaller pizza.

Step-by-step explanation:

When you flip a baised coin the probability of getting tail is 0.75 How many times would you expect to get tails uf you flip the coin 320 times?

Answers

Answer: 60

How?: Well, we know that we have a 0.75 chance for tails. And on a coin, there is heads and tails. So, we multiply 0.75 (tails) by 320 and then divide that by 4. We do this because there is a 0.75 and 1 = 1.00. 1.00 - 0.75 = 0.25. 0.25 = 60

Answer:240

Step-by-step explanation:

question: determine whether the set of numbers in each table is proportional. if the relationship is proportional, identify the constant of proportionality. Explain your reasoning

Answers

Answer:

chicken wing chicken wing hot dog and baloney chicken and macaroni chillen with my homie

Step-by-step explanation:

A shop has a sale of 25% off all items in stock.
If the original price of a dress is £80 what would be its sale price?

Answers

Answer:

£60

Step-by-step explanation:

25% off

80 × 25/100

= £20

£80 -£20

= £60

Micheal has 4 red shirts, 3 green shirts, and 5 blue shirts in his closet. If he randomly selects a shirt, what is the probability he chooses green or red.
a) 1/3
b) 1/4
c) 5/12
d) 7/12

Answers

Answer:

D. 7/12

Step-by-step explanation:

First, find the total number of shirts in his closet:

4 + 3 + 5

= 12

Now, find how many are green or red:

4 + 3

= 7

Since 7 out of 12 shirts are green or red, the probability that Micheal chooses green or red is D. 7/12

Dorothy is thinking of two numbers. The sum of the two numbers is 40 and the difference is 6. Write a system of equations and use the elimination method to find the two numbers.

Answers

Answer:

x = 23

y = 17

Step-by-step explanation:

x = 1st number

y = 2nd number

System of Equations:

x + y = 40

x - y = 6;    this can be used as x = 6+y

6+y + y = 40

6 + 2y = 40

2y = 34

y = 17

x + 17 = 40

x = 23

Kevin went to the movie theater for his birthday. A mix of adults and children attended, making a total of 19 people. Each adult ticket was $9 and each child's ticket was $6. If the total cost for the party was $153, how many adults and how many children went to the theater?​

Answers

Answer:ddeeececdshcbd

Step-by-step explanation:

curcirjcirvirvnr

It would be 13 adults and 6 children because 13x9 would be 117 and 6x6 would be 36 and 36+117 would be 153 :)

Which of these is a geometric sequence?
A. 3, 6, 9, 12,...
B. 2, 3, 5, 9, 17
C. 4, 2, 1, 1/2, 1/4
D. 3,-15, -33, -51, -69,

Answers

Answer:

C. 4, 2, 1, 1/2, 1/4

Step-by-step explanation:

Geometric is normally either division or multiplication sequences. C has the division sequence of dividing by 2.

A would be an example of an arithmetic sequence.

The series 3, 6, 9, 12,... and  4, 2, 1, 1/2, 1/4 are geometric series.

Options A and C are the correct answer.

What is a geometric sequence?

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

Looking at the options:

A.

3, 6, 9, 12,... is a geometric sequence with a common ratio of 2.

Each term is found by multiplying the previous term by 2.

B.

2, 3, 5, 9, 17 is not a geometric sequence because there is no constant ratio between terms.

C.

4, 2, 1, 1/2, 1/4 is a geometric sequence with a common ratio of 1/2.

Each term is found by multiplying the previous term by 1/2.

D.

3,-15, -33, -51, -69, is not a geometric sequence because there is no constant ratio between terms.

Therefore,

The series 3, 6, 9, 12,... and  4, 2, 1, 1/2, 1/4 are geometric series.

Learn more about geometric sequence here:

https://brainly.com/question/2321576

#SPJ7

Q4 - Exam prep: Missing values
Audrey measures all 7 pencils in her pencil case and writes the first 6 lengths down.
12.4 cm, 12.6 cm, 13 cm, 13.4 cm, 13.5 cm, 13.3 cm
Audrey calculates the mean length of all 7 pencils to be 13.1 cm.
Find the length of the missing pencil.
cm
[2]

Answers

Answer:

the missing pencil length is 13.5 cm

Step-by-step explanation:

The computation of the length of the missing pencil is shown below:

Let us assume the missing pencil be x

Now

(12.4 cm + 12.6 cm + 13 cm + 13.4 cm + 13.5 cm + 13.3 cm + x) ÷ 7 = 13.1 cm

(78.2 cm + x) ÷ 7 = 13.1 cm

78.2 cm + x = 91.7 m

So, x would be

= 91.7 cm - 78.2 cm

= 13.5 cm

hence, the missing pencil length is 13.5 cm

A shoe store recorded the price (in dollars) of 175 pairs of women's shoes and 175 pairs of men's shoes. The data collected was used to create the following table.

Picture

Which statement accurately describes the difference in the price of men's and women's shoes at this store?


The price of women's shoes varies less than men's shoes.


Most of the men's shoes in the data set cost more than women's shoes.


Most of the women's shoes in the data set cost more than men's shoes.

The price of men's shoes has a higher interquartile range than that of women's shoes.

Answers

Answer:

Most of the men's shoes in the data set cost more than women's shoes.

Step-by-step explanation:

From what I could tell it can't be The price of men's shoes has a higher interquartile range than that of women's shoes. becuse that's false what looks to fit is Most of the men's shoes in the data set cost more than women's shoes.   since on the graph more of the mens  vaules are bigger  

20% of __ is 15 pls help lol

Answers

Answer:

3

Step-by-step explanation:

Triangle ABC is similar to triangle XYZ. Solve fort. t=1 С 13.5 12 А A 19.5 B 4 Y 2 4.5 t Х​

Answers

Answer: 6.5

Step-by-step explanation:

PLEASE HELP ME...

Find f(x)^-1(x)=5 ^5√x-3 +1

Answers

Answer:

oof

Step-by-step explanation:


Determine the intercepts of the line

PLEASE HELP I SUCKKK AT THIS

Answers

y intercept - 0.4
x intercept- 0.3

Hi! Please help.. will mark brainliest!!

Answers

Answer:

2

Step-by-step explanation:

Okay...I might be misunderstanding

but since it's from 5 to 7 it should be 2 units long

Answer:

2

Step-by-step explanation:

24.
Tyannah purchased 4 dozens of eggs for $50.00. She sold each egg for
$2.00. How many eggs must she sell to make a profit of $34.00?​

Answers

Answer:

I think it would be 17 because 34 ÷ 2 = 17

I need help ASAP!!!!!!!!!!!!!!!!!!!

Answers

Answer: Length of each side of the building block will be 1 feet.

Answer:

23/45

Step-by-step explanation:

answerr to –m+8–9m+–8m+–10m

Answers

Answer:

USE THIS APP AS A GUIDE DO NOT USE IT AS AN ANSWER KEYYYYYY!!! ALRIGHT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

https://photomath.app/en/

Answer:

-28m+8

Step-by-step explanation:

Combine like terms

(-m + -9m + -8m + -10m) + (8)

someone pls lend a hand pls

Answers

Answer:

136

Step-by-step explanation:

10x5=50

10-6=4

4x8x.5=16

10x7=70

50+16+70=136

help nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

Answers

Answer:

I beleive is is -2% because 5 is 2 more than 3

so then 5-2=3

Answer:

Error Is 100(2/3) 66.7%

Assuming similarity, find the value of x.

Answers

Answer:

20

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

9/4 = 2.25

8/18 = 2.25

2.25 x 10 = 22.5

simple ratio work and multiplictaion

Help Please I am really confused whoever helps gets Brainliest (if its correct)

Answers

Answer:

hi :)

910

use a percantage calculator, i looked it up and 182 percent of 500 would be 910

Step-by-step explanation:

You have (182 lb/500 lb) • 100 = 36.4% of your starting amount of food left.

If someone could help me figure out #7 ASAP I’d really appreciate it

Answers


Answer: Angle N

Explanation:

For triangle ABC, we refer to the middle angle, Angle B.

For triangle MNP, we refer to its middle angle, Angle N.

Good luck!

Will give Brainly please help

Answers

Answer:

B. 95º

Step-by-step explanation:

Supplementary angles are ones that add up to 180º.

So if angle 1 is 85º, then the equation would be:

(x-the measure of angle 2)

X + 85 = 180

Solve for x:

X + (85-85) = 180-85

X = 95.

Hope this helps! Have a great day!

Answer:

it is B) 95

Step-by-step explanation:

supplementary mean equals to 180. in a triangle problem all the angles should add up to 180. so you take 180 and subtract the number you already have which is 85 and you get 95

Rebecca bake 200 cookies for the State Fair 60% were oatmeal 120 were lemon and 20 were chocolate what percentage of cookies were not oatmeal?​

Answers

Answer:

100 - 60 is 40 so it is 40%

Step-by-step explanation:

i need help on this question can anyone please help me

Answers

9514 1404 393

Answer:

  p = -9 5/9

Step-by-step explanation:

Undo what is done to p.

Multiply by 2.

  p +10 = 4/9

Subtract 10.

  p = 4/9 -10

  p = -9 5/9

8 +1 + 10 + 7 + 10 + 6 = 42
What is the average value?

Answers

7

Explanation:
Add up all the numbers
8 + 1 + 10 + 7 + 10 + 6 = 42
Divide the total by the amount of numbers add together. (6)
42/6
Which gives you 7.

Step-by-step explanation:

it's average value is 7 which is shown as solved given

a subway car 34 feet long; 1 inch = 5 feet

Answers

Answer:

6.8 inches

Step-by-step explanation:

inch= 1 x

feet= 5 34

1×34÷5

Other Questions
Why do you think that European explorers came to America In the triangle below, what is the cosine of 60? Which development was part of the Second Great Awakening? A. The combining of many existing religions into fewer , larger ones B. The existence of female preachers C. The creation of new religious groups with more relaxed rules O D. Stricter requirements for church membership Why were northerners upset about draft guidelines? a. They allowed rich men to pay someone to take their place in battle b. Rich men could choose to pay the government a fee to avoid serving in the military c. Both A and B d. None of the above The HR manager is considering giving more full-time contracts. Would you recommend Top Hotels offer more employees full-time contracts? Justifyyour answer. PLEASE ANSWER FASTER, THANK YOU! PLEASE HELP ME ANSWER ALL QUESTIONS1. Suppose you are an artist who will represent the country in an international Contemporary Art competition. Explain the idea for the production of a work that reflects the cultural identity of the community in Malaysia.2. Discuss in groups about the elements and principles as well as media and techniques of painting artwork based on photographs above.Thank you! Which pH values indicate an acid soil? Solve the system of equations by elimination3x + 5y = 162x - y = 2 If a circle is divided into 30 equal parts, what will be the measure of the angle of each part??? You have a limited budget and you need to type color documents frequently, which type of printers would you buy? Develop a short story with the help of the given starting line. Give suitable title to your story. (150-200 words)----"It was an amazing day, full of fun and frolic. We all stood amazed to see a strange flying object over our heads. We started guessing....Pls give me the correct answer.. *Don't spam the Question* otherwise ur answer will be reported. If u don't know, so let others answer the ques.. Right answer will be marked as Brainliest.. 1. Who is your favorite member of One Direction and give could answers as to why.2. Do you hope for 1D too get back together?3. Favorite 1D song/Album?4. Out of All the band members who do you think has succeeded the most being a solo-artist?5. Would you like to know what Bear Payne looks like?6. Do you Support larry/Zarry Etc. I'm A Huge 1D fan and I love all the boys but Harry Styles has a special place in my heart, I thought this would be fun. I'm also really bored but anyways...Have A Good Day! :D Identify and explain the key parts of an argumentative essay. About how many frames were used to make the film Sleeping Beauty? O 2,700 O 21,000 O 63,000 O 114,000 In 2.5 seconds, a projectile goes from 50 m/s to 800 m/s, heading southwest. What is the acceleration of the projectile? What is 24x 7+ 6+ 2, Thx! O Captain! My Captain! BY WALT WHITMAN O Captain! my Captain! our fearful trip is done, The ship has weatherd every rack, the prize we sought is won, The port is near, the bells I hear, the people all exulting, While follow eyes the steady keel, the vessel grim and daring;But O heart! heart! heart! O the bleeding drops of red, Where on the deck my Captain lies, Fallen cold and dead. O Captain! my Captain! rise up and hear the bells; Rise upfor you the flag is flungfor you the bugle trills, For you bouquets and ribbond wreathsfor you the shores a-crowding, For you they call, the swaying mass, their eager faces turning; Here Captain! dear father! This arm beneath your head! It is some dream that on the deck, Youve fallen cold and dead. My Captain does not answer, his lips are pale and still, My father does not feel my arm, he has no pulse nor will, The ship is anchord safe and sound, its voyage closed and done, From fearful trip the victor ship comes in with object won; Exult O shores, and ring O bells! But I with mournful tread, Walk the deck my Captain lies, Fallen cold and dead. 1) What is the tone of the poem? Explain and cite examples. 2) What does the poet mean figuratively when he says "our fearful trip is done"? What was the prize and why were the people exulting? 3) What does "The vessel grim and daring" mean? 4) Why would the poet refer to the subject of the poem as Captain? Why does the author refer to him as father at one point and place his hand behind his head? 5) What is the theme of the poem? Explain and cite examples. 6) Why do people feel as though they have such close, emotionally extreme relationships with their political leaders? 7) Research information about the poet Walt Whitman a list 3-5 facts about him. Write a program using for loop to find the cube of numbers from 50-100 FASTT hi, if your looking for extra points (50+) and brainiest here is ur chance, answer this question correctly plz Which of the following is a major cause of high levels of air pollution in India's largest cities? A. low emission standards for power plants B. low standards on industrial waste disposal C. low standards for vehicle emissions and fuel D. Private business not following government regulations