BAKE SALE Cassandra and Alberto are selling pies for a fundraiser. Cassandra sold 3 small pies and 14 large pies for a total of $203. Alberto sold 11 small pies and 11 large pies for a total of $220. Determine the cost of each pie.

Answers

Answer 1

Answer:

Large pie = 13

small pie = 7

Step-by-step explanation:

hope this helps!

BAKE SALE Cassandra And Alberto Are Selling Pies For A Fundraiser. Cassandra Sold 3 Small Pies And 14
Answer 2

Taking into account the definition of a system of linear equations, the cost of each small pie is $7, while the cost of each large pie is $13.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

x: cost of each small piey: cost of each large pie

Cassandra sold 3 small pies and 14 large pies for a total of $203. This is represented by: 3x + 14y= 203

Alberto sold 11 small pies and 11 large pies for a total of $220. This is represented by: 11x + 11y= 220

So, the system of equations to solve is:

[tex]\left \{ {{3x+14y=203} \atop {11x+11y=220}} \right.[/tex]

There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable y from the first equation, you obtain:

14y= 203 - 3x

y= (203 - 3x) ÷14

y= 14.5 - [tex]\frac{3}{14}[/tex]x

Replacing this expression in the second equation and solving, you obtain:

11x + 11×(14.5 - [tex]\frac{3}{14}[/tex]x)= 220

11x + 11×14.5 - 11×[tex]\frac{3}{14}[/tex]x= 220

11x + 159.5 - [tex]\frac{33}{14}[/tex]x=220

11x - [tex]\frac{33}{14}[/tex]x=220 - 159.5

[tex]\frac{121}{14}[/tex]x= 60.5

x= 60.5÷ [tex]\frac{121}{14}[/tex]

x= 7

Finally, to obtain the value of y, it is replaced in the expression previously obtained for y:

y= 14.5 - [tex]\frac{3}{14}[/tex]x

y= 14.5 - [tex]\frac{3}{14}[/tex]×7

y= 14.5 - [tex]\frac{3}{2}[/tex]

y= 13

Finally, remembering that x represents the cost of each small pie and y represents the cost of each large pie, so the cost of each small pie is $7, while the cost of each large pie is $13.

Learn more about system of equations:

https://brainly.com/question/1995493

https://brainly.com/question/3291576

https://brainly.com/question/7487907?referrer=searchResults


Related Questions

Heights of American adult women are normally distributed with mean 63.6 inches and standard deviation 2.5 inches. Find the height of an adult woman that corresponds to the 80th percentile.

Answers

Answer:

65.7

Step-by-step explanation:

Given ;

Mean, m = 63.6

Standard deviation, s = 2.5

80th percentile = 80 / 100 = 0.8

The Zscore corresponding to the 80th percentile ; Z < P = 0.842 (Z probability calculator)

Zscore = (x - m) / s

0.842 = (x - 63.6) / 2.5

0.842 * 2.5 = x - 63.6

2.105 = x - 63.6

x = 63.6 + 2.105

x = 65.705

Please help me now ASAP PLEASE!

Answers

Answer:

What does "Brainlest" mean?

Step-by-step explanation:

The answer to this problem is 36

Suppose 15 Argus student ride the city bus to school. Out of a total of 220 students, what percent ride the city bus (round to nearest whole %)

Answers

Answer:

7%

Step-by-step explanation:

(15/220) x 100 = 6. 8182 = 7%

to convert to percentage multiply by 100

To convert to the nearest whole number, look at the first number after the decimal. If it is greater or equal to 5, add 1 to the number after the decimal. 8 is greater than 5, so add one to 6

Hello, I need help don't answer the first 3

Answers

Answer:

5. all relations are a function

6. number 4 is not a function

7. 4 is not a function

8. all are functions

9.c

10. x-2=y

11. 2/3

Step-by-step explanation:

I need help with this question

Answers

Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

-12x + 2 y = 8
-6x + y = -3

Answers

Answer:

I'll give you the answer. This is system of equations, yes?

Expand 2/3(x+12)
Expand -4/5(-x+25)

Answers

Answer:

2/3 x X + 2/3 x 12

-4/5 x -X + -4/5 x 25

what is the algebraic expression of
1 less than the quotient of 7 and a number x

Answers

Answer:

(7 ÷ x) - 1

Step-by-step explanation:

i tried, i tried

plzz help ASAPPPP
i need answers right now!!1

Answers

Answer:

ydyeheuuru u ieuegeoeororpe

Please help will mark brainliest

Answers

Answer:

-19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

Plz, mark me brainliest ;)

PLEASE HELP WILL GIVE OUT BRAINLEYST
MATHH PEOPLE HELP

Answers

Answer its 82 i added the cm

Given that rectangle MNOP ~ rectangle STUV, what is the length of ¯¯¯¯¯¯ T U ?Rectangle M N O P is shown with segment N O labeled 10 and segment O P labeled 4. rectangle S T U V is shown with segment T U labeled x and segment U V labeled 6

Answers

Answer:

[tex]TU = 15[/tex]

Step-by-step explanation:

Given

[tex]\square MNOP \simeq\ \square STUV[/tex]

[tex]NO = 10[/tex]

[tex]OP = 4[/tex]

[tex]TU = x[/tex]

[tex]UV = 6[/tex]

Required

Determine the length of TU (i.e. x)

Because both shapes are similar, then the following equivalent ratios exist:

[tex]NO : OP = TU : UV[/tex]

Substitute values for NO, OP, TU and UV

[tex]10 : 4 = x : 6[/tex]

Represent as fraction

[tex]\frac{10 }{ 4 } = \frac{x }{ 6}[/tex]

Multiply both sides by 6

[tex]6 * \frac{10 }{ 4 } = \frac{x }{ 6} * 6[/tex]

[tex]6 * \frac{10 }{ 4 } = x[/tex]

[tex]x = 6 * \frac{10 }{ 4 }[/tex]

[tex]x = \frac{60 }{ 4 }[/tex]

[tex]x = 15[/tex]

Hence:

[tex]TU = 15[/tex]

Write 2.673 × 10^4 as an ordinary number

Answers

2.673 × 10^4 is a scientific number, and the number as an ordinary number is 26730

How to rewrite the number?

The number in scientific form is given as:

2.673 × 10^4

Express 10^4 as 10000

2.673 × 10^4 = 2.673 × 10000

Evaluate the product

2.673 × 10^4 = 26730

Hence, 2.673 × 10^4 as an ordinary number is 26730

Read more about standard forms at:

https://brainly.com/question/5756316

#SPJ1

Whats the opposite of 8x​

Answers

Answer:

-8x

Step-by-step explanation:

Answer:

x/8

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

A type of fish for your aquarium costs $9 each. You can spend at most $45. How many
of these fish can you buy? Write an inequality to model the problem. Then solve the
inequality to find the number of fish.

Answers

U can buy 5 fish hope it’s right
PLEASE MARK ME BRAINLEST

(08.05 MC)
The quadratic functions f(x) and g(x) are described as follows:
f(x) = -8x? +7
g(x)
0
0
1
2
2
6
3
2
4
0
Which of the following statements best compares the maximum value of the two functions?
The maximum value is the same for both functions.
Of(x) has a greater maximum value than g(x).
O g(x) has a greater maximum value than f(x).
The maximum values cannot be determined.

Answers

Answer:

x=67

Step-by-step explanation:

The correct statement is,

(B) f(x) has a greater maximum value than g(x).

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function f (x) is,

f (x) = - 8x² + 7

Now, First, we determine the maximum point of f(x).

f(x) is at maximum at the point of symmetry, i.e. where x = - b/a

Here, a = -8, b = 0

Hence, x = - 0 / - 8 = 0

So, We get;

f (0) = - 8 x 0 + 7 = 7

Thus,

The maximum point of f(x) is (0,7)

And, The maximum point of g(x) is (2,6)

Therefore, f(x) has a greater maximum value than g(x).

Hence3, The correct option is B.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

The square below has an area of x^2-10x+25 square meters

what expression represents the length of one side of the square?

Answers

Answer:

Answer: Expression that represents the length of one side of the square is x - 5.

At 9AM a train traveling 60 miles per hour leaves Los Angeles for San Francisco, a distance of 400 miles. At noon a car traveling at an average speed of 40 miles per hour leaves San Francisco for Los Angeles. At what time will the two vehicles pass each other?
ANSWER PLS

Answers

Answer is in the picture:

At 2:02 PM the two vehicles pass each other.

What is the speed?

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Given thta,

Los Angeles to San Francisco:

rate = 60 mph ; distance = x miles ; time = d/r = x/60 hrs

San Francisco to Los Angeles:

rate = 40 mph ; distance = 400-x ; time = d/r = (400-x)/40 hrs

So, equation is

x/60 = (400-x)/40 + 3

x/60 = (400-x)+120/40

40x = 60[(400-x)+120]

40x=24000-60x+7200

100x=31200

x=312 miles

Now, time = 312/60

= 5.2 hours

Clock time = 9+5.2

= 14.2 hours

= 2:02 PM

Therefore, at 2:02 PM the two vehicles pass each other.

To learn more about the speed, distance, and time visit:

brainly.com/question/4978052.

#SPJ6



In 2019, Chris made $142,000 as a dentist. Social Security tax was 6.2% to a maximum income of $132,900.

Medicare tax was 1.45% of all income. How much did Chris pay in FICA Taxes?

Type your answer

Answers

Answer: $10,298.80

Step-by-step explanation:

Chris made more than the limit required for the Social Security tax so his Social Security tax will be based on the maximum amount of $132,900.

His Social Security tax is therefore:

= 6.2% * 132,900

= $8,239.80

There are no limits for Medicare so Chris will pay taxes on the whole amount he earned of $ 142,000.

Medicare = 1.45% * 142,000

= $2,059

FICA tax = Social security + Medicare

= 8,239.80 + 2,059

= $10,298.80

Use a percent proportion to find 25% of 350.

Answers

Answer:

7.142857143 or

[tex] \frac{50}{7} [/tex]

Step-by-step explanation:

100 ÷ 350 = .2857142857

.2857142857 × 25 = 7.142857143

find the unknown side length x right here answer in simplest radical form
A.2√41
B.4√29
C.48
D.58​

Answers

Answer:

D .58

Step-by-step explanation:

i got it right on edg

Answer:

58!

Step-by-step explanation:

James spent 2/5 of his money and saved the rest.if he spent $630 how much money did he save

Answers

Step-by-step explanation:

James will reach the school first

p−3=−4

Helppppp

Meeee

Plzzz

Answers

sorry i had the wrong answer...

Solve the system below.
y = x2
y = –2x + 15

Answers

Answer:

since,

y = 2x and y = –2x + 15

then,

2x = –2x + 15

or, 4x = 15

or, x = 15/4

or, x = 3.75

Also,

y= 2x

= 2*3.75

= 7.5

Hope it helped

All the best!!

Answer:

Step-by-step explanation:

[tex]x^{2} = -2x^{2} +15[/tex]

add [tex]2x^{2}[/tex] to both sides

[tex]3x^{2} = 15[/tex]

divide each side by 3

[tex]x^{2} =5[/tex]

square root each side [tex]\sqrt{x^2} =\sqrt{5}[/tex]

[tex]x= 2.23606794[/tex] or rounded to the nearest hundredth [tex]x=2.24[/tex] or x = ±[tex]\sqrt{5}[/tex]

- The highest common factor of two numbers is 175.
The lowest common multiple of these two numbers
is 12 600.
Both numbers are greater than their highest
common factor.
Find the two numbers.

Answers

Answer:

1400, 1575

Step-by-step explanation:

Two number: 175x , 175y   (x and y no more common factor)

LCM: 175xy = 12600

xy = 72

72: (1,72) (2,36) (3,24) (4,18) (6,12) (8,9) only (8,9) fit no common factor

Two number: 8*175 = 1400         9*175 = 1575

The lines shown below are parallel. If the green line has a slope of 5, what is

the slope of the red line?

A: -5

B: 5

C: -1/5

D: 1/5

Answers

Answer:

5

Step-by-step explanation:

For two lines to be parallel, they must have the same slope

since the slope of the green line is 5, the the red line will have the same slope as the green line,

The slope of the red line will therefore be 5

Which of the following equation have no solutions?
A. -4x + 5 = -4x - 5.
B. 4x + 5 = -4x + 5
C. 5x + 5 = -4x - 5
D. -4x + 5 = -4x - 4

Answers

Answer:

A,

Step-by-step explanation:

Hey There. Your Answers Are A. And D.

Step-by-step explanation:

help with question 1

Answers

Answer:

si=Ptr/100

and di solution

Leslie purchased a new bar of soap. Three days after she originally used
the soap, she was curious how much soap per day she was using. She
decide to weigh her soap and that the bar was 103 grams. Four day later
she re-measured the same bar of sop and record a weight of 80 grams.
Assuming that Leslie uses the same amount of soap daily (and that she
used soap daily), write an equation that shows that amount of soap
remaining after d days of use. *Hint: slope intercept form and you will
need the slope formula

Answers

Answer:

The equation is:

y= 103 --23d

Step-by-step explanation:

The initial amount was 103 grams.

After one day of use the remaining amount of soap was 80 grams.

So the amount of time he spent in one day was:

Each day Leslie spends 23 grams of soap.

if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:

y= 103 --23d

Rewrite the equation by completing the square.
x^2 - 4x + 3 = 0

Answers

Answer:

the answer would be x=3,1

Answer:

After completing the square, we can say:

(x - 2)² = 1

If we solve for x, this tells us that x has a value of both 1 and 3.

Step-by-step explanation:

Given:

x² - 4x + 3 = 0

We can complete the square by adding 1 to both sides:

x² - 4x + 4 = 1

(x - 2)² = 1

We can then solve for x by saying:

(x - 2)² = 1

x - 2 = √1

x = 2 ± 1

x = 1, 3

Other Questions
Find the measure of the arc or angle indicates Select the TWO multiplication equations that could represent the following question: how many 3/8s are in 5/4A. ? x 3/8 = 5/4B. 3/8 x ? = 5/4C. ? x 5/4 = 3/8D. 3/8 x 5/4 = ? Who was Muhammad? The messiah in ChristianityThe main prophet in JudaismThe final prophet in IslamThe messiah in Judaism HELP!! I'll name you brainliest!! You weigh 580 N on Earth. If you were to go to Mars, where its gravitational pull is 3 . 7 11 m /s 2 , what would you weigh? (Hint: gravity on Earth is 9.8 m /s 2 . The cost of hiring a surfboard involves an up-front fee plus an hourly rate. Three hours of hire costs $50 and 7 hours costs $90. Sketch a graph of costs, $C, for t hours of hire using the information given above. Explain the concept of supply and demand and how opportunity cost relates to demand. When does gender socialization happen? 3x^2 + 9x + 4x + 12 Which of the following is an example of artificial organ transplantation?A doctor performs a surgery that replaces a patients liver with a man-made liver.A doctor performs a surgery to repair a patients heart.A doctor advises exercise and rest to avoid the need for surgery.A doctor removes a patients kidney and replaces it with a kidney from another patient. Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.Complete the following proof.Given: AB is diameter of circle O. AC and BD are tangentsProve: AC parallel to BD. Write the ratio of 24 cats to 16 dogs in simplest form in 3 ways explain or show your work what were some authorities of popes in the middle ages Bella makes 579 bracelets to sell. She wants to pack the bracelets into 12 boxes. 50 bracelets are packed into each of the first 11 boxes. How many bracelets will be packed into the last box? Which of the following could be an example of a type of graphic organizer about jungle animalsA. A collection of photos with links to audio files of noises made by jungle animalsB. A paragraph describing different jungle animalsC. A picture of one jungle animal with no captionD. A first person narrative about a safari How does Sherald prepare (create references) before she starts painting?? What mass of potassium chloride, KCl, is produced when 12.6 g of oxygen, 02, is produced? Construct a NarrativeThis activity will help you meet these educational goals: You will write a narrative reflecting internal conflict.ActivityIn this activity, you will write a narrative about an internal conflict that you faced and describe how you resolved the conflict.Part AIntroduction: HookBegin your introduction with a hook that catches the readers attention and sets the scene. Include information that gives the reader answers to these questions:Where is the event set?What time of year is it?How old were you when this internal conflict happened?Part BIntroduction: Main IdeaState your main idea in one to two sentences. These sentences should explain what you learned from the internal conflict, or how the event is significant to you.Part CBody Paragraph 1Now begin the body of your essay. Write the first body paragraph. Remember, the paragraph should include the following elements:beginning action topic sentencesupporting detail 1supporting detail 2supporting detail 3Part DBody Paragraph 2Write the second body paragraph. Include the following elements:middle action topic sentencesupporting detail 1supporting detail 2supporting detail 3Part EBody Paragraph 3Write the third body paragraph. Include the following elements:end action topic sentencesupporting detail 1supporting detail 2supporting detail 3Part FConclusionAnalyze and reflect on the internal conflict of the story. Describe how you resolved the conflict and how the events are significant to you. Please help i will give brainly FIRST PERSON TO GET IT RIGHT EVERY TIME I POST A QUESTION YOU WILL ALWAYS GET BRAINLY tan a= 12/15, a lies in quadrant 3, and cos x= -20/29, x lies in quadrant 2. find sin (a+x).a) 345/377 b) 135/377 c) -152/377 d) 352/377