John is making apple pies and apple cobblers to sell at the farmer’s market. A pie uses 4 cups of apples and 3 cups of flour. A cobbler uses 2 cups of apples and 3 cups of flour. When John sells the pies and cobblers at the farmer’s market, he will make $3.00 profit per pie and $2.00 profit per cobbler. Let x = the number of pies John makes. Let y = the number of cobblers John makes. Interpret the meaning of the vertex with the maximum profit in context of john’s baking.

Answers

Answer 1

Step-by-step explanation:

there are some pieces of information missing like the price of apples and flour. or the selling prices. or any restrictions like a fixed budget to buy ingredients or how many pies and cobblers he can make in a certain available time.

all we can say based on the given information :

one pie = 4a + 3f (a = apples, f = flour)

one cobbler = 2a + 3f

P(x, y) = 3x + 2y =

= x(selling price - 4a - 3f) + y(selling price - 2a - 3f)

the max. of P(x, y) is the maximum profit by selling pies and cobblers, which is without any further information +infinity.

the more pies and cobblers he sells, the bigger the profit - no limit.


Related Questions

PLSS HELP ME WITH THIS!! 20 POINTSS The following graph shows a proportional relationship. What is the constant of proportionality between y and a in the graph?

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The gradient of this graph is 2/3 so the equation of the line is

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

However, the question is asking for proportionality which has the equation:

[tex]y=kx[/tex]

So k in this instance is [tex]\frac{2}{3}[/tex].

30 POINTS!!!!! (answer with work please)

1) A cone with volume 1350 m³ is dilated by a scale factor of 1/3. What is the volume of the resulting cone?

2) The top of the silo is a hemisphere with a radius of 11 ft. The bottom of the silo is a cylinder with a height of 38 ft. How many cubic feet of grain can the silo hold? Use 3.14 for pi and round your answer to the nearest cubic foot.

Answers

Answer: The answer is 50 m³.

Step-by-step explanation: We are given to find the volume of the cone cone after being dilated by a factor of one-third from a cone with volume  1350 m³.

The volume of a cone with base radius 'r' units and height 'h' units is given by

[tex]V=\frac{1}{3}\pi r^2h.[/tex]

Therefore, if 'r' is the radius of the base of original cone and 'h' is the height, then we can write

[tex]V=\frac{1}{3}\pi r^2h=1350[/tex]

⇒ [tex]\pi r^2h=4050.[/tex]

Now, if we dilate the cone by a scale factor of , then the radius and height will become one-third of the original one.

Therefore, the volume of the dilated cone will be

[tex]V_d=\frac{1}{3}\pi (\frac{r}{3})^2\frac{h}{3} =\frac{1}{81}[/tex] × [tex]\pi r^2h=\frac{1}{81}[/tex] × [tex]4050=50[/tex]

Thus, the volume of the resulting cone will be 50 m³.

What is the slope of the line that
passes through these two points?
(-1,4)
(2, 2)
slope
Remember, given two points,
(x1.yu)
(x, y
Slope
rise (y2-yı)
run (x2-1)

Answers

Answer:

slope= -2/3

explanation: 2-4/2+1

slope =-2/3
explanation. bc i sadi

what is the remainder for the synthetic division problem? (image attached)​

Answers

Answer:

D

Step-by-step explanation:

3 | 1   5   - 8   6

   ↓   3    24   48

   ----------------------

    1   8   16    54 ← Remainder

help please i need help

Answers

Answer: it will be A And D

Step-by-step explanation:

The polygons are similar but not necessarily drown to scale. What is the value of x?

Answers

Answer: 38

Step-by-step explanation:

Since the polygons are similar, the corresponding sides are all in the same proportions.

x-2/4.5 = 16/2 = 48/6

Solving for x

[tex]\frac{x-2}{4.5}=\frac{48}{6}[/tex]

[tex]\frac{x-2}{4.5}=8[/tex]

[tex]\frac{4.5\left(x-2\right)}{4.5}=8\cdot \:4.5[/tex]

[tex]x-2=36[/tex]

[tex]x-2+2=36+2[/tex]

[tex]x=38[/tex]

Therefore, the value of x is 38

Which type of individuals within a species is most likely to survive and reproduce.
A. The best camouflaged against predators.
B. The most intelligent.
C. The strongest.
D. The best adapted to their environment.

Answers

Answer:

B.

Step-by-step explanation:

if smart, they can hide

A shopping center keeps track of the number of customers in each store at lunchtime. The data shows the number of customers in the 15 different stores in the shopping center last Sunday.



4, 18, 20, 17, 16, 23, 19, 14, 8, 8, 6, 12, 10, 14, 18



Create a histogram of this data.

To create a histogram, hover over each number of customers range on the x-axis. Then click and drag up to plot the data.

Answers

Answer:

0-4 should go up to 1     5-9 should go up to 3     10-14 should go up to 4     15-19 should go up to 5        20-14 should go up to 2

Step-by-step explanation:

Hope this helps!

Correlation analysis is used to determine

Answers

Answer:

Correlation analysis is used to quantify the degree to which two variables are related.

Step-by-step explanation:

In research, correlation analysis is a statistical approach for calculating and measuring the strength of a linear relationship between two variables. Simply defined, correlation analysis determines how much one variable changes as a result of the change in the other. A high correlation indicates a strong association between two variables, whereas a low correlation indicates a weak relationship.

how many different roots does the polynomial function have y = (x-2)(x+3)^2 have

Answers

Answer:

[tex]x=2,-3[/tex]

Step-by-step explanation:

Set [tex](x-2)(x+3)^2[/tex] equal to [tex]0[/tex].

[tex](x-2)(x-3)^22=0[/tex]

Solve for [tex]x[/tex].

If any individual factor on the left side of the equation is equal to [tex]0[/tex], the entire expression will be equal to [tex]0[/tex].

[tex]x-2=0\\(x+3)^2=0[/tex]

Set the first factor equal to [tex]0[/tex] and solve.

Set the first factor equal to [tex]0[/tex].

[tex]x-2=0[/tex]

Add [tex]2[/tex] to both sides of the equation.

[tex]x=2[/tex]

Set the next factor equal to [tex]0[/tex] and solve.

Set the next factor equal to [tex]0[/tex].

[tex](x+3)^2=0[/tex]

Set the [tex]x+3[/tex] equal to [tex]0.[/tex]

[tex]x+3=0[/tex]

Subtract [tex]-3[/tex] from both sides of the equation.

[tex]x=-3[/tex]

The final solution is all the values that make [tex](x-2)(x+3)^2=0[/tex] true.

[tex]x=2,-3[/tex]

In the unit, you found the probability of a compound event by identifying the sample space. However, it is also possible to find the probability of a compound event without finding the sample space. To do this, multiply the probability of the first event by the probability of the second event. For example, the probability of flipping heads twice on a coin is . Using this idea, what is the probability that the next cougar and bear caught will both be unmarked?

Answers

Answer:

0.07%

Explanation:

I helped somebody else with the same question! haha

Alex has already saved $500 this summer. He wants to save at least $700. Create an inequality to show the amount of money, m. Alex still needs to save​

Answers

Answer:

$200

Step-by-step explanation:

$700

-$500

$200

Therefore Alex needs to save $200 more to get the $700

To solve a system of equations, you cannot replace a variable with an equal value or expression

Answers

Answer: This is FALSE, you can replace a variable with an equal value or expression

Step-by-step explanation:

If you can substitute an unknown variable with another equal expression, you can then solve for another variable, and with that equal expression, solve for the first variable.

Learn more here: https://brainly.com/question/23533399

PLEASE HELP ME IGIVE YA'LL 12 POINTS PLEASE HELP ME


Directions: Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.


1. x2 + 6x - 7


2. x2 - 5x + 6


3. x2 - 6x - 7


4. x2 + 5x - 6


5. x2 + x - 12


6. x2 - 2x - 8


7. x2 - 4x - 5


8. x2 + 2x - 3


9. x2 - 16


10. x2 - x - 12


11. x2 -9x + 18


12. x2 -5x - 14


13. x2 - 7x + 10


14. x2 -11x + 24


15. x2 - x - 30

Answers

Here is an example from question 1.

This is the diamond method and helps before you can do it in your head after a bit of practice.
Hope it helps!

Answer:

Step-by-step explanation:

1. x2 + 6x - 7

2. x2 - 5x + 6

3. x2 - 6x - 7

4. x2 + 5x - 6

5. x2 + x - 12

6. x2 - 2x - 8

7. x2 - 4x - 5

8. x2 + 2x - 3

9. x2 - 16

10. x2 - x - 12

11. x2 -9x + 18

12. x2 -5x - 14

13. x2 - 7x + 10

14. x2 -11x + 24

15. x2 - x - 30

How close together can two prime numbers be if they are both greater than 5? Why can they not be closer?​

Answers

Answer:

2 numbers apart (17 and 19)

Step-by-step explanation:

Eaxh other number is even, and 5, 3, and 9 are sometimes not prime. 1 is prime though.

Hope this helps!

Hello Please Find The Answer To This Question (easy) Part 2

Answers

Answer:

y=[tex]-\frac{1}{6}[/tex]x-2

Step-by-step explanation:

by using this website

its a graphing calculator

desmos. com/calculator

how many gallons are in 8 1/4?

Answers

The total number of gallons in 8.25 quartz is 2.0625 gallons

Conversion of gallons to quartz

According to the given question, we are to convert 8 1/4 quartz to gallons

According to the standard conversion

1 gallons = 4 quarts

x = 8.25 quartz

Take the ratio

1/x = 4/8.25
4x = 8.25

x = 8.25/4

x = 2.0625 gallons

Hence the total number of gallons in 8.25 quartz is 2.0625 gallons

Learn more on gallons to quartz here: https://brainly.com/question/898411

#SPJ1

A bucket holding several inches of water was placed under a leaking faucet. Water leaked into the bucket so that the level of the water in the bucket increased by a certain number of inches per hour. The equation y=2x+4 represents this situation, where x is the number of hours and y is the number of inches of water in the bucket. What does the number 4 in the equation represent? A total of 4 inches of water leaked into the bucket. The bucket initially held 4 inches of water. The water level decreased by 4 inches per hour. The water level increased by 4 inches per hour.

Answers

The number 4 represents the initially held water of the bucket. Then the correct option is B.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bucket holding several inches of water was placed under a leaking faucet.

Water leaking into the bucket so that the level of the water in the bucket increased by a certain number of inches per hour.

The equation y = 2x + 4 represents this situation, where x is the number of hours and y is the number of inches of water in the bucket.

Then the number 4 in the equation represents.

The number 4 represents the initially held water of the bucket.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

solve the quadratic formula x^2+4x-3=0

Answers

Answer:

using quadratic equation formula

-b±/b²‐4ac all over 2a

solve using elimination
3x-y=17-x+y=-7

Answers

Answer:

x=5

Step-by-step explanation:

.

How did the x value change if it went from 4 to 6?

Answers

the x value changed by 2

Natalie was asked to find the angle measures of a triangle that has the ratio 1:3:5 . Natalie made a mistake in her work. Find the mistake and correct it.

Answers

16.7 because is smal nambar

Solve the following expression for t select all that apply
A:9
B:42
C: 45
D: t+3=45

Answers

Answer:

Option B ([tex]42[/tex]) and D ([tex]t + 3 = 45[/tex])

Step-by-step explanation:

Step 1:  Multiply both sides by 15

[tex]\frac{t + 3}{15} = 3[/tex]

[tex]\frac{t + 3}{15} * 15 = 3 * 15[/tex]

[tex]t+3=45[/tex]

Step 2:  Subtract 3 from both sides

[tex]t + 3 -3 = 45 -3[/tex]

[tex]t = 42[/tex]

Answer: Option B ([tex]42[/tex]) and D ([tex]t + 3 = 45[/tex])

Here my Answer :)))))))

In a classroom, 4/6of the students are wearing
sneakers. This is 3/6more than the fraction of the
students wearing boots. What fraction of the
students are wearing boots? Write an equation
to model the problem.

Answers

the answer is
4/6-3/6=1/6

Determining Continuity
Use the graph to answer the question.
Using limits, for which value of x is the function
continuous? Check all that apply.
-2
-1
0
3
5

Answers

Answer:

A, C, E

Step-by-step explanation:

i got the question wrong so yall could get it right

PLEASE SHOW ALL YOUR WORK!!!
If popsicles cost $1.92 per dozen, what would be the cost of 60 popsicles?
Group of answer choices

$10.10

$9.60

$9.75

Answers

1.92 x 5 = 9.60

The cost is of $9.60

Answer:

$9.60

Step-by-step explanation:

$1.92 = per dozen

60 = how many dozens?

12 = one dozen.

60/12 = 5

5 dozens in 60 popiscles

If we know that we have 5 dozens and it costs $1.92 per dozen, we can just multipty those two numbers.

1.92*5=9.60

So, the cost of 60 popsiciales is $9.60!

Adele ate 1/4 of a hamburger in 5/6 of a minute. How many minutes will it take her to finish the entire hamburger?

Answers

Answer:

3 minutes 20 seconds

Step-by-step explanation:

Time taken to eat 1/4 of a hamburger = 5/6 minute

The entire burger = 4/4Since 1 x 4 = 4, it will take 4 times the amount of time taken to eat 1/4 of a hamburger

Solving

T = 5/6 x 4 minutesT = 20/6 minutesT = 3 2/6 mintuesT = 3 minutes 20 seconds

PLEASEE HELP ME WITH !!!!!

Answers

Answer:

C = 101

Step-by-step explanation:

A triangle has 180 degrees, so just minus 28 and 51 by that and you get 101... it's pretty simple

Given the following set of numbers find the mean, median and mode. 6, 6, 8, 7, 10, 14, 13, 6, 5, 7, 8, 10, 13, 6, 7

Answers

Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.

What is Central Tendency?

A central tendency is a central or typical value for a probability distribution. Colloquially, measures of central tendency are often called averages. The term central tendency dates from the late 1920s. The most common measures of central tendency are the arithmetic mean, the median, and the mode.

Here, Given data

   x                             f                     xf

  5                             1                       5

  6                             4                      24

  7                             3                       21

  8                             2                       16

  10                           2                        20

  13                            2                        26

   14                           1                         14

Mean = ∑xf/∑f

         = 126/15    

         = 8.4

Median = 7

Mode = 6

Thus, Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.

Learn more about Central Tendency from:

https://brainly.com/question/13606190

#SPJ1

Find the value of log1/1000

Answers

just do it with a calculator the answer is -3

Answer:

-3

Step-by-step explanation:

log (1/1000)

log ( 10^-3)

= -3

Other Questions
In which situation is a group member showing positive nonverbalcommunication in a group discussion?O A. Hailey politely suggests the group stop talking about last night'sthunderstorm and get back to planning the project.B. Tim keeps his eyes focused on Lynelle as she talks to show he'sreally considering what she has to say.C. Connor interrupts Fiona after she's been talking for five minutes,because he sees that her idea won't work and he wants to moveon.D. Stuart sits back in his chair after Cameron has been talking for afew minutes to show her that it's time for her to wrap up. Which sentence uses the comma correctly?San Francisco, named afterSaint Francis hasa Spanish origin.Colorado meaning "colored," is also a Spanish word.Another state, Montana is the Spanish word for "mountain."Los Angeles, located in Southern California, means "theangels" in Spanish. Some people worry that the increasing number of cell phones will cause cancer because of the energy of the radio waves they emit. Cell phones are a new technology that only recently became widely used. And because cancer takes years to develop, the amount of risk is not yet known.summarize whats known so far. In your summary, include information about the energy of radio waves. Be sure to only use credible sources. Based on what you learned from your research, do you think people should limit their cell phone use? Why or why not? Which expression is equal to (screenshot) When I am trying to ask a question, it keeps saying Don't use such phrases here, its hurts our feelings. Why? I'm not using any inappropiate words. In the unit, you found the probability of a compound event by identifying the sample space. However, it is also possible to find the probability of a compound event without finding the sample space. To do this, multiply the probability of the first event by the probability of the second event. For example, the probability of flipping heads twice on a coin is . Using this idea, what is the probability that the next cougar and bear caught will both be unmarked? which generation do you belong that a kind of science technology existed? what is the remainder for the synthetic division problem? (image attached) what is the length of the leg in a 45-45-90 triangle with a hypotenuse of 1? What is the mode?9 4 6 3 9 3 10 4 6 4 PLSS HELP ME WITH THIS!! 20 POINTSS The following graph shows a proportional relationship. What is the constant of proportionality between y and a in the graph? 4.11 In "The Man I Killed," Tim O'Brien describesthe story of the Vietnamese man he killed. Hegives details about this man's life, hopes,dreams, fears, etc. But there is no way Tim couldhave known these details. Why do you think TimO'Brien creates a life for the man he killed?Explain your reasoning. How does the poet create the element of surprise in the last two stanzas of the poem, on page 3? 30 by explaining that the speaker is not an old friend, but a new one 35 by revealing that the speaker has moved away from the subject of the poem by revealing that the speaker is not a human friend, but a state of being 40 by explaining that the speaker has never met the subject of the poem A current-carrying wire with many loops is called a magnetic field. A wire coil. A solenoid. A bar magnet. [6m x 6n 9mn 2m] ??I need to simplify this expression please help with working out so I can understand. Thanks! Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the probability that both students chosen are sophomores?I think the answer is B Read the following scenario:A popular weekly entertainment magazine is preparing a special feature on a "bad boy" rock musician. Thephoto shoot is complete and the feature article is in production when the managing editor learns that themusician has just been arrested for drug possession and assault. Which of the following would the managingeditor most likely do in this scenario?O Ignore the incident and publish the feature article as is.O Rework the angle of the story to include the latest incident.O Pull the story and do a feature on another celebrityO Change the layout of the issue and make the musician a side article, rather than feature. A can of soda can be modeled as a right cylinder. qasim measures its radius as 2.5 cm and volume as 163 cubic centimeters. find the height of the can in centimeters. round your answer to the nearest tenth if necessary. Sarah is going on a trip. she drives for 2 hours and 45 minutes, rests for 35 minutes and drives for another 2 hours 50 minutes. what is her total travel time in hours and minutes PLEASE HELP ME IGIVE YA'LL 12 POINTS PLEASE HELP MEDirections: Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.1. x2 + 6x - 7 2. x2 - 5x + 6 3. x2 - 6x - 7 4. x2 + 5x - 6 5. x2 + x - 12 6. x2 - 2x - 8 7. x2 - 4x - 5 8. x2 + 2x - 3 9. x2 - 16 10. x2 - x - 12 11. x2 -9x + 18 12. x2 -5x - 14 13. x2 - 7x + 10 14. x2 -11x + 24 15. x2 - x - 30