Nathan is making chocolate chip cookies, the recipe calls for 2 cup chocolate chips and will make 4 dozen cookies. He increases the recipe to make 6 dozen cookies and will need 3 cups chocolate chips. Find the constant of proportionality

Answers

Answer 1

Answer:

1/2

Step-by-step explanation:

Nathan is making chocolate chip cookies, the recipe calls for 2 cup chocolate chips and will make 4 dozen cookies. He increases the recipe to make 6 dozen cookies and will need 3 cups chocolate chips. Find the constant of proportionality

From the above question, we can see that the Number of Chocolate chips is directly proportional to the number of Dozen cookies

Hence:

C = Chocolate chips

D = Dozen cookies

Hence:

C ∝ D

C = kD

Where k = Constant of Proportionality.

We are told that , the recipe calls for 2 cup chocolate chips and will make 4 dozen cookies.

Hence:

2 = 4k

k = 2/4

k = 1/2

Also, He increases the recipe to make 6 dozen cookies and will need 3 cups chocolate chips.

3 = 6k

k = 3/6

k = 1/2

Therefore, from the calculations above, the constant of proportionality is 1/2


Related Questions

Diane left her house and traveled at a constant rate of 55 miles per hour for 4 hours. How far did she travel?

Answers

Answer:

220 miles

Step-by-step explanation:

55 x 4 = 220 miles

Answer:220

Step-by-step explanation:

55×4=20

What is the equation of the horizontal line passing through (3, 8)?

Answers

Answer:

Y= -5

Step-by-step explanation:

If y always equals -5 then the x value will change but the y value will not. This means that the slope of the line is zero and will be parallel to the x axis, which is the horizontal line.

plz help i will give whoever answers first with the correct answer brainliest

Answers

Answer:

Since 1/5 is 0.2

and 1/5 × 9 is 9/5

We can do 0.2 × 9

which you should get 1.8

OR you can do 0.2 + 0.2 + 0.2 +0.2 +0.2 + 0.2 + 0.2 + 0.2 + 0.2 (which is 0.2 added 9 times)

Which also results in 1.8

Answer:

she could mabey multiply 9x0.2=1.8

Step-by-step explanation:

it might be 1.8 because if 1/5=0.2 and she needs to find out what 9/5 is so

you need to multiple 9x0.2 but im not sure if im right

Lionel has at most 63/8 cups of flour to bake cookies and a cake. Lionel uses 7/4 cups of flour to make the cake. If each batch of cookies takes 3/2 cups of flour, how many batches of cookies, x, can Lionel bake? Select the inequality that includes the maximum number of batches of cookies Lionel can bake.


A. x⊇49/8

B. 49/8⊆x

C. 49/12⊆x

D. x⊇49/12

Answers

Answer:

x ≤ 49 / 12

Step-by-step explanation:

Total cups of flour = 63 /8

Cake = 7/4 cups

Cookies = 3/2 cups per batch

Flour left after baking cake :

63/8 - 7/4

(63 - 14) / 8

49 / 8

Batch of cookies which can be baked, x

Flour left / cups of flour per batch of cookies

x ≤(49 / 8) ÷ (3 / 2)

x ≤ (49 /8) * 2/3

x ≤ 98 / 24

x ≤ 49 / 12

PLEASE HELP!!!!
Which of these shapes is congruent to the given shape?
ОА
ов.
О С.
OD

Answers

The answer would be D

The shape congruent to given figure is Figure 4.

Option D is correct.

What is congruency?

Congruent figures have sides that are the same length and angles that are the same measurement. In other terms, two figures are said to be congruent when they are superimposed upon one another. Even when they are flipped or rotated, they perfectly fit on top of one another.

We have a figure which is similar to parallelogram.

First, figure is seems to be rectangle and do not have same unit measurement which is not Congruent.

Now, the second has more width than given figure.

Now, Third figure is also a rectangle and cannot be congruent.

Now, the fourth figure is similar to given figure.

Learn more about Congruency here:

https://brainly.com/question/7888063

#SPJ7

miss violet is buying granola bars for her students. she already has 16 granola bars in her desk and needs a total of 100 granola bars. they are sold in packs of 12.how many more boxes of granola bars does she need to purchase

Answers

Answer:

She needs 7 more boxes.

Step-by-step explanation:

100-16=84

84/12=7

help pls brainliest for whoever helps me ·ω·

Answers

Answer:

8

Step-by-step explanation:

Answer:

Answer is 8 :D

Step-by-step explanation:

The common factor of those 2 numbers are 1, 2,4,8 :)

The breadth of the rectangular firls is 20m less than its length.. Find its dimensions if perimeter is 160 m

Answers

Answer: length of the rectangular firls = 50

and the breadth = x-20m= 50-20m =30m

Step-by-step explanation:

The perimeter of a rectangle is given as  2(l+b)

let the length be represented as x

such that the breadth = x-20m

so our expression for the perimeter of the rectangular firls becomes

Perimeter = 2l+ 2b

160= 2x + 2 ( x-20)

160= 2x+ 2x-40

160+40 =4x

200= 4x

x= 200/4

x= 50

So the length of the rectangular firls = 50

and the breadth = x-20m= 50-20m =30m

Answer:

Length =60m

Breadth= 20m

Step-by-step explanation:

Breadth of the rectangular firls = 20m

Perimeter = 160m

Length = X

Perimeter of a rectangle = 2(L +B)

Where L= Length

           B = Breadth

160 = 2( 20 + X)

160 = 40 +20X

160- 40 =20X

120= 20X

20X = 120

X = 120/20

X = 60

The dimensions are:

Length =60m

Breadth= 20m

2) Solve for y when x=6:
2x + y = 6

Help please

Answers

Answer:

y=-6

Step-by-step explanation:

2(6)+y=6

12+y=6

-12 -12

y=-6

44+32+32+40= ( im lowkey lazy atm so thanks

Answers

Answer:

148

Step-by-step explanation:

What is the price ofpremium gasoline rounded to the nearestdollar? Rounded to the nearest dime?Rounded to the nearest penny?

Answers

Answer:

$4 (nearest dollar) ;

$4.4 (nearest dime) ;

$4.41 (nearest penny

Step-by-step explanation:

The actual price of premium gasoline is $4.409 per gallon.

A penny = $0.01 or 1 cent

A dime = $0.1 or 10 cent

Price of premium gasoline to the nearest dollar :

$4.409 is rounded to the nearest unit = $4

Price of premium gasoline to the nearest penny : = $4.409 is rounded to the nearest hundredth = $4.41

Price of premium gasoline to the nearest dime : = $4.409 is rounded to the nearest tenth = $4.4

The tables below show four sets of data:


Set A
x 1 2 3 4 5 6 7 8 9
y 10 9 8 7 6 5 4 3 2
Set B
x 1 2 3 4 5 6 7 8 9
y 3 4 5 6 7 8 9 10 11


Set C
x 1 2 3 4 5 6 7 8 9
y 8 6 5 4 3.5 3 2.5 2 2
Set D
x 1 2 3 4 5 6 7 8 9
y 1 2.5 2.5 3 4 5 6 8 9


For which set of data will the scatter plot represent a negative nonlinear association between x and y?
Set A
Set B
Set C
Set D

Answers

Answer:

its not c i got it wrong on the test

Step-by-step explanation:

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 8 rows of the same length, he
has 7 chairs left over. If he arranges the chairs in 6 rows of that same length, he has 23 left over. How many
chairs does Liam have?

Answers

Answer:

liam has 44 chairs with him

Answer:

liam has 71 chairs

hope it helps you

Which is a integer?

A. 4.5
B. 2/7
C. -3
D. 14

hurry please!!!

Answers

Answer:

the answer is C

Step-by-step explanation:

hope this helps

an integer is a whole number, the answer is c or d

Sister asked this: shes 10
whats 3/4 + 1/8

Answers

7/8 maybe ........... I don’t know

Answer:

1/2 or 1/3

Step-by-step explanation:

if you add them across you will get 4/12 which you would simplify and it will give you 1/3 but if you keep the bottem numbers as 8 then add 3 and 1 it will give you 4/8 simplify that's and it gives you 1/2

please help meeeeeee​

Answers

Answer:

y=2/3x +5

Step-by-step explanation:

to find the gradient

9--1/6--9

10/15

2/3

y-y1=m(x-x1)

y-9=2/3(x-6)

y-9=2/3x-4

y=2/3x+9-4

y=2/3x+5

A grocery store charges $2.49 per pound for organic apples. What is the cost c, in dollars, of p pounds of organic apples? Write an equation to represent the situation.

Answers

Answer:

$2.49p = c

Step-by-step explanation:

sorry if wrong

Answer:

c=2.49p

Step-by-step explanation:

What is the answer HURRY I NEED HELP AND THIS IS DUE TODAY

Answers

Answer:

Step-by-step explanation:

D the width is higher than the pressure of it (32h) so that would mean younger 2) 3425 psi of worth

Conjecture: The difference between two negative numbers is always negative. Write a counterexample. *

Answers

If you add two negative numbers you get a sum that is less than both of the numbers. so -1+-2=-3

Calculate the percent yield if 500 grams of C7H8 makes 255 grams of C7H7NO2

1 C7H8 + 1 HNO3 = 1 C7H7NO2 + 1 H2O

This is urgent

Answers

I’m still thinking about it
500/92 = 5.43 mol of C7H8
1:1 mol ratio
Mass = mol x Mr = 5.43 x 137 = 743 g (theoretical yield)
Percentage yield = ( actual yield / theoretical yield ) x 100
500/743 x 100 = 67.3% 1dp

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 675 square feet. The width of the basement is 1/3
its length. What is the length of Louis's basement?

Answers

I am reading this correctly, the width = 1/3 of the length?

If this is the case, and we know that the area is 675, the equation is as follows.

Width x Length = 675 ft2

X = length

1/3 X  x  X =  675 ft2

To solve for X we have to multiply both sides by 3.

X square 2 = 2601 square feet.

Take the square of each side.

X =  225 sqare feet.

I hope this helps, let me know if you have any questions.

What is the slope of the line shown below?

Answers

Answer:

2/3

Use the rise over run formula and then simplify

Answer:

D

Step-by-step explanation:

Slop formula: m = (y2 - y1)/(x2 - x1)

First coordinate: (-3, -7)

Second coordinate: (9, 1)

m = (1- (-7) ) / (9 - (-3) )

m = (1 + 7) / (9 + 3)

m = (8)/(12)

m = 2/3

What is this (-43)+37+33

Answers

Answer:

27

Step-by-step explanation:

Answer:

27.

Step-by-step explanation:

(-43)+37+33

= 37 + 33 - 43

= 70 - 43

= 27.

plzzzzzzzzzz help will mark brainlist

Answers

Answer:

-8

Step-by-step explanation:

1^2=1

-4 x -1 =-4

-4 - 1 -3 = -8

Plug in 1 where there is x

You roll a spinner that is numbered 1-4. What is the probability of landing on a number less than 3 and then landing on a 4? (determine the answer and explain your process for doing so)

Answers

Answer:

The probability is 1/4

Step-by-step explanation:

So there's 4 possible outcomes. So if you roll the spinner and you can only get one outcome. So it'll be 1/4.

Answer:

P(<3, then 4) = 1/2 x 1/4 = 1/8

Step-by-step explanation:

probability of a number less than 3 would mean landing on a 1 or 2, which has a prob. of 1/2

probability of landing on the number 4 is 1/4

multiply the probabilities

please help!! my problems are in the photo.

Answers

Answer:

x= 10

y= 14

Step-by-step explanation:

So right were the 5 is you wanna make that into a triangle to solve for the missing side using 3 as height and 5 as hypotenuse. you get 4 so subtract 4 from 14 to get 10.

100-64=36 sqrt36=6  26-6-6=14

HELP URGENT
sorry for the quality

Answers

Answer:n = 15Step-by-step explanation:now what do we divide by 3 to get 5 = 15now lets swap the n with the 15 to get4^([tex]\frac{15}{3}[/tex] + 5) = 40now simplify 4^(5 + 5) = 40simplify again 4^(10) = 404^ means times whats in the brackets by 4that equals 40 = 40

geometry help it’s easy!!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

θ = 41.81°

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] = sinθ , then

θ = [tex]sin^{-1}[/tex] ( [tex]\frac{2}{3}[/tex] ) ≈ 41.81°

20 POINTS

Solve for p.

98 = 4p + 38

Answers

Answer:

98= 4p + 38

4p = 38 - 98

4p = - 60

P = - 60/4

P = -15

Answer:

p=15

Step-by-step explanation:

98=4p+38

(98-38)=4p

60=4p

(60/4)=(4p/4)

15=p

what is the answer for
k + 0 = k

Answers

Answer: k=1 which equals 1k.  

Step-by-step explanation:

k+0=k

k is really 1k

so the real equation is 1k+0=1k because 1k+0 means nothing really it's still 1k.  

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