Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49. a. What is the unit price? b. What is the constant of proportionality, or k? c. In a complete sentence, explain what k means in the context of this problem.

Answers

Answer 1

Answer:

a) $0.83

b) k = 1.205

c) In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

Step-by-step explanation:

Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49.

a. What is the unit price?

The unit price means the cost of 1 cookie

Hence:

3 chocolate chip cookies = $2.49

1 chocolate chip cookies = x

3x = $2.49 × 1

x = $2.49 × 1/3

x = $0.83

Hence, the unit price = $0.83

b. What is the constant of proportionality, or k?

Chocolate chip cookie ∝ Price

Chocolate chip cookie is directly proportional to the Price

C = kP

Where k is constant of proportionality

k = Chocolate chip cookie/Price

k = C/P

Hence,

k = 3/2.49

k = 1.2048192771

k = 1.205

c. In a complete sentence, explain what k means in the context of this problem.

In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price


Related Questions

Graph y = -2x - 1. Plot the y-intercept on the graph.

Answers

Answer:

so u put the first point at -1 go down 2 to the right 1

The graph of equation y = - 2x - 1 and the y-intercept (0, - 1) is shown in image.

We have to given that,

To plot the equation y = - 2x - 1 and the y-intercept on the graph.

Since, The equation of line in slope intercept form is,

y = mx + c

Where, m is slope and c in y - intercept.

Here, Equation is,

y = - 2x - 1

After comparing,

y - intercept = - 1

So, y - intercept of equation (0, - 1)

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ6

I need help with this problem

Answers

Answer:

X=13

Step-by-step explanation:

So if ΔABC ≅ ΔDEC, then that means that ∠B is ≅ ∠E. Therefore you would write the equation 3x=6x-39 and solve for X to get 13.

Hey Siri Timothy nvested 12,000 in an account that pays 4% annual simplest interest .timothy will not make any additional deposits or withdrawals . How much interest will Timothy earn on his investment at the end of 4 years

Answers

Answer: Timothy will have $1,920 at the end of 4 years.

Step-by-step explanation: Remember, I=prt. So multiply 12,000x0.04x4. The final answer is $1,920.

Answer:

$1920

Step-by-step explanation:

He starts with 12,000 dollars. If he makes 4 percent of that, he is making 480 dollars every year. So you know how much he is making every year, you need to know what he is making in 4 years. 480 * 4 = 1920

Expand the following:
a)2(x + 3)

Answers

Answer:

2x+6

Step-by-step explanation:

2(x+3)

=(2)(x+3)

=(2)(x)+(2)(3)

=2x+6

2. The water level of a river was measured each day during a two-week period. The
graph models the linear relationship between the water level of the river in feet
and the number of days the water level was measured.
Water Level of River
The initi
28
Ο Ο Ο
The max
24
20
The wate
16
Water Level (ft)
12
o
The water
CLEAR ALL
4
0
2
4
12
6 8 10
Number of Days
Which statement best describes the y-intercept of the graph?
< PREVIOUS
O 3
Os Oo Or
0.8
HH
Type here to search
O

Answers

Step-by-step explanation:

day during a two-week period. The

graph models the linear relationship between the water level of the river in feet

and the number of days the water level was measured.

Water Level of River

The initi

28

Ο Ο Ο

The max

24

20

The wate

16

Water Level (ft)

12

o

The water

CLEAR ALL

4

0

2

4

12

6 8 10

Number of Days

Which statement best describes the y-intercept of the graph?

< PREVIOUS

O 3

Os Oo Or

0.8

HH

Answer:

It is C. The initial water level is 16 ft

Step-by-step explanation:

The Y-intercept goes across 16 lol

Which expression is modeled by this arrangement of tiles?

16 negative tiles are split into 2 groups of 8 negative tiles.

Answers

Answer:

16 negative tiles are split into 2 groups of 8 negative tiles.

Negative 16 divided by 3

Negative 16 divided by 2

Negative 8 divided by 8

Negative 8 divided by 2

Step-by-step explanation:

Simplify the rational expression. (Your final answer should have one term.)

[tex]\frac{3}{4} - \frac{2}{9} + \frac{3}{2}[/tex]

Answers

Answer:

[tex]\frac{73}{36}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] - [tex]\frac{2}{9}[/tex] + [tex]\frac{3}{2}[/tex]

1. Convert all the fractions to a common denominator.

For this problem, the common denominator will be 36

[tex]\frac{3}{4}[/tex] * 9 = [tex]\frac{27}{36}[/tex]

[tex]\frac{2}{9}[/tex] * 4 = [tex]\frac{8}{36}[/tex]

[tex]\frac{3}{2}[/tex] * 18 = [tex]\frac{54}{36}[/tex]

2. Substitute the values back into the equation, and solve

[tex]\frac{3}{4}[/tex] - [tex]\frac{2}{9}[/tex] + [tex]\frac{3}{2}[/tex]

= [tex]\frac{27}{36}[/tex] - [tex]\frac{8}{36}[/tex] + [tex]\frac{54}{36}[/tex]

= [tex]\frac{19}{36}[/tex] + [tex]\frac{54}{36}[/tex]

= [tex]\frac{73}{36}[/tex]

Answer:

2 1/36

Step-by-step explanation:

3/4 - 2/9 + 3/2 =3/4*9/9 - 2/9*4/4 + 3/2*18/18 =   ⇒ Common denominator LCM(4,9,2)=3627/36 - 8/36 + 54/36 = (27 - 8 + 54)/36 =73/36 =2 1/36

Another word for finding the opposite of an integer is BLANK An integer

Answers

Answer:

The answer is at the bottom!!

Step-by-step explanation:

Another word for finding the opposite of an integer is negative number of an integer.

Decrease, spend, and decline are examples of words that mean negative. An integer is any positive whole number or its opposite. Here, opposite means sign. So a positive integer has a negative opposite and vice versa.

Hope this helps!!

Please help ! I’ll give brainliest!

Answers

i believe it is 16 since if you do 21-5 it is 16 :)

HELP PLEASE ILL GIVE BRAINLIEST

Answers

Answer:

B. The answer is B

Step-by-step explanation:

Jack wants to buy a coat that costs $74.95. The sales tax rate in his city is 6,4%. What is the total cost for the coat? Round to the nearest cent

Answers

Answer:

$79.7468

Step-by-step explanation:

6.4% of 74.95 is 4.7968, since 6.4 * 74.95 is 479.68, and if you divide that by 100, you will get 4.7968. 4.7968 + 74.95 = $79.7468

Here we want to find the total cost of a coat given that we know its cost and the sales tax.

By working with percentages, we will find that the total cost will be $79.75

Applying the tax:

So the cost of the coat is $74.95, and then we must pay an extra 6.4%

Then we must pay a total of the 100% + 6.4% = 106.4%

And the 100% is equivalent to $74.95

Then the 106.4% is equivalent to:

(106.4%/100%)$74.95 = $79.75

So the total cost of the coat is $79.75

If you want to learn more about percentages, you can read:

https://brainly.com/question/843074

The square of a number is equal to nine.

Answers

Answer:

[tex]\pm 3[/tex]

Step-by-step explanation:

Take the square root.

Answer:

81

9 x 9 = 81

Therefore the square of a number equal to 9 is 81

May I have brainliest please? :)

The length a rectangular pan is represented by 5a2 and the area of the rectangular pan is represented by 5a4 + 10a3 - 15a2, find the polynomial expression that represents the width of the pan. Write your answer in descending order. Please use the palette below to enter your answer

Answers

Answer:

[tex]Width = a^2 + 2a - 3[/tex]

Step-by-step explanation:

Given

[tex]Area = 5a^4 + 10a^3 - 15a^2[/tex]

[tex]Length = 5a^2[/tex]

Required

Determine the Width

The area of a rectangle is calculated using:

[tex]Area= Length * Width[/tex]

Make Width the subject

[tex]Width = \frac{Area}{Length}[/tex]

Substitute values for Area and Length

[tex]Width = \frac{5a^4 + 10a^3 - 15a^2}{5a^2}[/tex]

Factorize the numerator

[tex]Width = \frac{5a^2(a^2 + 2a - 3)}{5a^2}[/tex]

[tex]Width = a^2 + 2a - 3[/tex]

Hence, the polynomial for the width of the rectangle is:

[tex]Width = a^2 + 2a - 3[/tex]

PLZ HELP DUE SOON

Mia has $50 on a gift card to her favorite coffee shop. Each time she visits the coffee shop she spends $3.75 on her favorite drink. Write an equation to represent the relationship between x, the number of times she visits the coffee shop, and y, the total amount on her gift card.

Answers

Answer:

50 = x · 3.75

Step-by-step explanation:

Plz help me quickly I’ll give brain list !!!!!!!plz

Answers

Answer:

8  3/4 is your answer  

Step-by-step explanation:

If you want to multiply in a simplier form convert into decimals

2.5*3.5= 8.75 = improper fraction form its  8*4+3=35/4= 8 3/4

pls give brainliest i need two more and i level up and hope this helps

Answer:

The answer is 8.75

Step-by-step explanation:

First make 2 1/2 and 3 1/2 to improper fraction.

5/2 * 7/2= 35/4

After you multiplied you make you answer into a mixed number fraction by

dividing the  numerator and denominator. 35/4=8.75

Answer:8.75

Hope this helps!!

Which first step for solving the given system using substitution results in an equation without fractions? Solve for x in the first equation. Solve for y in the first equation. Solve for x in the second equation. Solve for y in the second equation.

Answers

Answer:

solve for x in the second equation is correct

Step-by-step explanation:

Here is the complete question

Which first step for solving the given system using substitution results in an equation without fractions?

(2x+6y=7

(6x + 18y = 24.... 2

Solve for x in the first equation,

Solve for y in the first equation,

Solve for x in the second equation

The best equation to she will be equation 2 since all the coefficients are end numbers

Let us make x t subject f the formula from equation 2;

From 2: 6x+18y = 24

Subtract 18y from both sides

6x+18y-18y = 24-18y

6x = 24-18y

Divide through by 6

6x/6 = 24/6 - 18y/6

x = 4-3y.

You can see that the resulting expression of x is not a fraction. Hence solve for x in the second equation is correct

Answer:

b

Step-by-step explanation:

edit:

the one after that is b

A= 1

B= 2

C= below

42+__________=68 vhrvwfruybtglh

Answers

Answer:

42 + 26 = 68

Step-by-step explanation:

I hope this helped :)

Plz help me answer this!!!!

Answers

Answer:

Dude, it could literally be any number. It doesn't even provide us with a starting number to actually solve the problem with XD

Step-by-step explanation:

PROBLEM. Riley has a rectangular shaped patio that is 13 feet long by 15 feet wide. He wants to DOUBLE THE AREA of the patio by increasing the length and width by the same amount. 1. Write an EQUATION that represents the total area of Riley's proposed patio. AND 2. To the NEAREST TENTH of a foot, what is the LENGTH and WIDTH of the new patio?

Answers

Answer:

18.8 ft

20.8 ft

Step-by-step explanation:

Given that :

Dimension of rectangular patio:

13 feets * 15 feets

To double the area of The patio :

2 * initial. Area

Initial Area = area of rectangle = Length * width

Initial area = 13 * 15 = 195ft²

New area of patio = 2 * 195 ft² = 390 ft²

To obtain the new area, the length and width of patio increased in equal amount:

Let the Increment = x

Hence,

(length + x) * (width + x) = 390

(13 + x) * (15 + x) = 390

195 + 13x + 15x + x² = 390

195 + 13x + 15x + x² - 390 = 0

x² + 28x - 195 = 0

Using the quadratic equation solver to save computation time :

The roots are :

X = - 33.773 or 5.773

Dimension can't be negative, hence,

x = 5.773

New dimension :

(length + x) = 13 + 5.773 = 18.8 ft

(width + x) = 15 + 5.773 = 20.8 ft

Please help me answer this!!!

Answers

Answer:

NO NO NO NO NO

Step-by-step explanation:

A new arcade opened up in town. A play package is available to purchase. It includes 15 tokens for games,plus 5 dollars off. Let x represent the cost per token

Answers

Answer:

The total cost of the games (play package)

= 15x - 5

Step-by-step explanation:

Number of tokens in the games = 15

The cost per token = x

Discount off the total cost = $5

Therefore, the cost of the play package = 15x - 5

where x is in dollars

However, ‘x’ can also assume any value.

Check:

If x = $15

The total cost of the game can be said to be 15(10) - 5 = $220

Write a multiplication equation that represents the question: how many 38s are in 54? DO NOT tell me the answer just show me how you worked it out using MULTIPLICATION. Thanks.

Answers

Answer:

[tex]38 x = 54[/tex]

Step-by-step explanation:

Required

Determine the number of 38 in 54

We start by representing the number of 38 in 54 with x

To determine the number of 38 in 54, we have to represented it as thus:

[tex]38 * x = 54[/tex]

Simplify the expression as follows:

[tex]38 x = 54[/tex]

The expression can be left like that or simplified further by dividing through by 2:

[tex]19x = 27[/tex]

Hence, the solution to the question is:

[tex]19x = 27[/tex] or [tex]38 x = 54[/tex]

8(12+a) I'm Having trouble with this

Answers

Answer:

8a+96

Step-by-step explanation:

8(12+a)

= 96+8a

Answer:

8a+96 or a+12

Step-by-step explanation:

Distribute

The period of a pendulum is the time the pendulum takes to swing back and forth. The function relates the length L= 0.81t in feet of a pendulum to the time t in seconds that it takes to swing back and forth. A convention center has a pendulum that is 90 feet long. Find the period.

Answers

Answer: 111.11 seconds

Step-by-step explanation:

Given: The period of a pendulum is the time the pendulum takes to swing back and forth

The function relates the length [tex]L= 0.81t[/tex] in feet of a pendulum to the time t in seconds that it takes to swing back and forth.

If L= 90 feet then put this in the above function, we get

[tex]90=0.81t\\\\\Rightarrow\ t=\dfrac{90}{0.81}\\\\\Rightarrow\ t=111.1111111\approx111.11\text{ seconds}[/tex]

Hence,  the period = 111.11 seconds

The values in the
the range is called the

Answers

Answer:

values in range

Step-by-step explanation:

2.Which expression is equivalent to (2x6 + x3) - (x5 + 4x3)?
A. 2x6 + 7x3
B. 2x6 - X5 - 3x3
C. 3x6 - X5 - 3x3
D. 3x6 - X5 + 7x3​

Answers

Answer:

Step-by-step explanation:

2x6 + x3 - x5 - 4x3

Solving like terms

2x6 - x5 - 3x3

Option B is the correct answer

Stuart Rosenblatt earned a gross salary of $800 in one week. He received a paycheck that showed that taxes and other deductions of $206.75 were subtracted from his gross salary.
What was the net amount of Stuart’s paycheck

Answers

Hdidhdusojsgejsidhdhefudjdmjd

Please help me with this

Answers

Step-by-step explanation:

The question implies the two angles are equal because of the positioning of the named vertices. m∠A = m∠E so to say.

You can substitute the values and solve the inequality to find x, then solve for m∠A.

m∠A = m∠E; Given (Inferred)

6x - 8 = 4x + 1; Substitution

6x = 4x + 9; Addition Property of Equality

2x = 9; Subtraction Property of Equality

x = 4.5; Division Property of Equality

m∠A = 6x - 8; Given

m∠A = 6(4.5) - 8; Substitution

m∠A = 19; Solve

Hope this helps!!

Simplify 2 + 3[4 + (7 – 3) – 23]
*0
*2
*10
*8

Answers

Isn’t it supposed to be -19

does anyone know the answer ​

Answers

Answer:

x = 22

Step-by-step explanation:

90 = (5x - 20)

+20         +20

110 = 5x

/5      /5

22 = x

Hope this helps!

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