Mrs. Balbas makes a batch of cookies for her math class. Aaron takes 1/6 of the cookies and runs out the door. Matthew then takes 1/5 of the cookies that are left. Paige takes 1/4 of what remains after Matthew leaves. Koji takes 1/3of what remains after Paige, and then Dylan grabs half of the remaining cookies after Koji. Gavin then swoops in and grabs the last remaining 6 cookies. The rest of the class gets nothing and begins to collectively cry. How many cookies were in the batch, to begin with?

Answers

Answer 1

Answer:

36

Step-by-step explanation:

After dylan took half of the cookies and 6 were left there were

12 before he took any

Than If Koji took a 3rd when 12 were left there were 18

Than if Paige took a 1/4 of what was left when there were 18 there were 24

This same pattern is the same for the next 2

24+6 = 30 and than 30+6 = 36

TLDR;

remove 6 per person meaning there were 36 to begin

Answer 2

Mrs. Balbas makes a batch of cookies for her math class. Aaron takes 1/6 of the cookies and runs out the door. Matthew then takes 1/5 of the cookies that are left. Paige takes 1/4 of what remains after Matthew leaves. Koji takes 1/3of what remains after Paige, and then Dylan grabs half of the remaining cookies after Koji. Gavin then swoops in and grabs the last remaining 6 cookies then the batch initially had 432 cookies.

Mrs. Balbas baked a batch of cookies for her math class.

1. Aaron takes 1/6 of the cookies:

If "C" represents the initial number of cookies, Aaron takes (1/6)C cookies, leaving (5/6)C cookies.

2. Matthew takes 1/5 of the remaining cookies:

Matthew takes (1/5)(5/6)C = (1/6)C cookies, leaving (5/6)C - (1/6)C = (2/3)C cookies.

3. Paige takes 1/4 of the remaining cookies:

Paige takes (1/4)(2/3)C = (1/6)C cookies, leaving (2/3)C - (1/6)C = (1/2)C cookies.

4. Koji takes 1/3 of the remaining cookies:

Koji takes (1/3)(1/2)C = (1/6)C cookies, leaving (1/2)C - (1/6)C = (1/3)C cookies.

5. Dylan takes half of the remaining cookies:

Dylan takes (1/2)(1/3)C = (1/6)C cookies, leaving (1/3)C - (1/6)C = (1/6)C cookies.

6. Gavin takes the last 6 cookies:

The remaining (1/6)C - 6 cookies are taken by Gavin.

7. The rest of the class gets nothing, leaving 0 cookies.

Now, let's add up the amounts taken by each student:

- Aaron: (1/6)C

- Matthew: (1/6)C

- Paige: (1/6)C

- Koji: (1/6)C

- Dylan: (1/6)C

- Gavin: 6 cookies

Adding all these together, we get:

(1/6)C + (1/6)C + (1/6)C + (1/6)C + (1/6)C + 6 = (5/6)C + 6

Since the remaining cookies are accounted for,

we know that (5/6)C + 6 = 0, which gives us C = 432.

Therefore, the initial batch had 432 cookies.

To know more about Initial Batch here

https://brainly.com/question/31873990

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Related Questions

can someone please help?

Answers

The answer is b like Wht she said because she didn’t make mistakes
Its B hope that helped

Find the unit rate.
91 flowers in 7 vases
flowers per vase

Answers

Answer:

hope it helps you

mark as brainlist ^_^

Step-by-step explanation:

91/7=13

Answer:

13

that's the answer

Step-by-step explanation:

91÷7=13

Please help me with this question!

Answers

Hi! I'm happy to help!

To solve this, we have to divide the 18 pounds, in 1/8 portions. We do this with division. To make this problem easier to solve, we need to turn it into a multiplication problem (opposite of division). To still make the problem correct, we have to take the opposite of one of our numbers. Let's take 1/8, and turn it into 8, now we have the problem:

18×8=

Now all we have to do is multiply:

18×8=

144

He can make 144 croissants!

I hope this was helpful, keep learning! :D

Answer:

He could make: 18 / [tex]\frac{1}{8}[/tex] = 144 ( Croissants)

So he could make 144 croissants

If helpful, brainliest please !

In a right triangle, one of the angles measures 37°. What is the measure of the other angle?

A. 37°
B. 43°
C. 53°
D. 87°
E. 117°

Im pretty sure the answer is C: 53° because a right triangle equals 90° and 90° - 37° = 53° but I want to double check.

Answers

Answer:

Yep, 53°

Step-by-step explanation:

Sum of angles in a triangle equals 180.

We have two angles: 90° (since it is a right angle triangle) and 37°

Therefore 180 - (90+37) = 180 - 127

Answer is 53°

Yes your right, I’m just writing because I need to answer questions to ask more questions

Jinny is selling bracelets for $2.50. So far, she has earned $175.00. She needs to earn more than $230.00 in order to meet her goal.

How many more bracelets, x, does she need to sell in order to reach her goal? Select the inequality that includes the fewest number of bracelets that she can sell and still reach her goal.

Answers

Answer: 25

Step-by-step explanation:

she’s earned 175 so far she needs 230. So 230-175=55, so she needs 55 more dollars. 55÷2. 50(price of each bracelet) = 25

Answer: 25. 55 ÷2 = 25


She/they earned one hundred seventy fife dollars (175$)
She needs 230 55 ÷2 = 25

Are the ratios 20:9 and 2:1 equivalent?
yes or no

Answers

Answer:

No

Step-by-step explanation:

Do they have common factors?

No which is why they are not able to be simplified further

so no

No they are not equivalent to each other

I WILL MARK AS BRAINLIEST! Graph each coordinate pair on the graph and then indicate which quadrant or axis the point lies on.

Answers

Step-by-step explanation:

Quadrant I: None

Quadrant II: (-4, 2), (-1, 4)

Quadrant III: (-2, -4), (-3, -6), (-4, -5)

Quadrant IV: (1, -1), (2, -7)

Lying on x-axis:(3, 0)

-2 -4 is the 3rd quadrant
-3 -6 is the 3rd quadrant
-4 2 is the 2nd quadrant
-1 4 is the 2nd quadrant
3 0 is the 1st quadrant
1 -1 is the 4th quadrant
2 -7 is the 2nd quadrant
-4 -5 is the 3rd quadrant

Which expression is equivalent to 38 + 81?

Answers

Answer:

9(4+9)

step by step

4+9=13

now,

9*13=117

Answer is 9(4+9)



4+9=13

I WILL MARK AS BRAINLIEST! Solve

Answers

I will explain if u don’t understand!!

Answer:

a=1/2 b=1/2 c=3/8 d=1 . i think this is correct answers

Please help! Greatly appreciated

Answers

Answer:

Struggles of our Life

Once upon a time, a daughter complained to her father that her life was miserable and that she didn’t know how she was going to make it. She was tired of fighting and struggling all the time. It seemed just as one problem was solved, another one soon followed. Her father, a chef, took her to the kitchen. He filled three pots with water and placed each on a high fire.

Once the three pots began to boil, he placed potatoes in one pot, eggs in the second pot and ground coffee beans in the third pot. He then let them sit and boil, without saying a word to his daughter. The daughter moaned and impatiently waited, wondering what he was doing. After twenty minutes he turned off the burners. He took the potatoes out of the pot and placed them in a bowl. He pulled the eggs out and placed them in a bowl. He then ladled the coffee out and placed it in a cup.

Turning to her, he asked. “Daughter, what do you see?” “Potatoes, eggs and coffee,” she hastily replied.

“Look closer”, he said, “and touch the potatoes.” She did and noted that they were soft.

He then asked her to take an egg and break it. After pulling off the shell, she observed the hard-boiled egg.

Finally, he asked her to sip the coffee. Its rich aroma brought a smile to her face.

“Father, what does this mean?” she asked.

He then explained that the potatoes, the eggs and coffee beans had each faced the same adversity-the boiling water. However, each one reacted differently. The potato went in strong, hard and unrelenting, but in boiling water, it became soft and weak. The egg was fragile, with the thin outer shell protecting its liquid interior until it was put in the boiling water. Then the inside of the egg became hard. However, the ground coffee beans were unique. After they were exposed to the boiling water, they changed the water and created something new.

“Which one are you?” he asked his daughter. “When adversity knocks on your door, how do you respond? Are you a potato, an egg, or a coffee bean?”

Moral: In life, things happen around us, things happen to us, but the only thing that truly matters is how you choose to react to it and what you make out of it. Life is all about leaning, adopting and converting all the struggles that we experience into something positive.



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A good story

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very inspiring

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so inspring.

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Love it it’s a great lesson to all youngsters….

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That is really true

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Lovely and a true story

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I cant really say which one I am however when I am faced with adversity I tend to slow thing down in my life and try to understand whats going on and think of how I might be able to overcome as well is what is the life lesson that needs to be learned what I am being faced

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Wonderful

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Really moral stories here…Now I have the courage to overcome the adversity and struggles happening in my life.we should overcome that so that life is strong .

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i am from norway, so it was hard to read.

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superb story ❤❤❤

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Wow am really something learnt this story,,,,we should always help to needed,,,,

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I am Blessed! God is Good!

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Omg, this story is so good and touching, love it

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Answer:

16

Step-by-step explanation:

I WILL MARK AS BRAINLIEST! Simplify

Answers

Answer:

a) -42

b) -23

c) -100

d) 45

Answer:

a) | -29 - 13 | = 42

b) | 39 - 62 | = 23

c) | -59 - 41 | = 100

d) | -26 + 71 | = 45

Remember, absolute value refers to a number's distance from zero on the number line, without taking direction into account. A number's absolute value can never be negative.

Hope this helped! :)

rewrite -6 - (-3) using addition

Answers

Answer:

-6+3 because you can distribute the negative sign into the parenthesis and make it a positive.

Answer:

So the answer would be -6+3

Step-by-step explanation:

Here's why:

So think of this strategy when working with these problems

Draw the line connect the sign

This means to convert the -(- into a plus sign, which makes these problems way easier

So that's why the answer is -6+3

Answer = -3

Hope this helps!

Help
hgyfutdyrsdxgvbjhgytdrst

Answers

Answer:

-80 + 90 = 10

Step-by-step explanation:

-80 + 80 = 0  

0 + 10 = 90

im sorry if it does not help but here is the math

Answer : 10
Since (-) (+) = (-)

Answer the question in the pic pls. Don’t answer unless you are sure if your answer

Answers

Answer:

its 20

Step-by-step explanation:

20 because 10+10=20. it’s a pattern happening. in each circle you are double the first number and then doubling the second number to get your final answer.

solve the equation - 11 + 29 = - 2x + 4

Answers

Answer:

x = -7

Step-by-step explanation:

-11+29=-2x+4

18=-2x+4

-4       -4

14=-2x

-2   -2

-7=x

Answer: -7

Solution:-

-11 + 29 = -2x + 4
18 = -2x + 4
18 - 4 = -2x
14 = -2x
14/-2 = x
-7 = x

Help me Guess just help please

Answers

Answer:

the answer is irrational

Answer:

the answer is irrational

Find the function f(g(x)) if f(x) = x^2 + 2x. Given g(x) = x + 1. Also find f(g(2)) = f(2).

Please provide an explanation as well. Thank you! :)

Answers

The answer to this question is 5
so for f(g(x)) the answer is the highlighted expression. I’m not so sure what the other question is asking but you can write the other stuff down and hope they give you credit :)

A car increases, then decreases, its speed. Which table could represent the speed of the car?


A. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 42, 43.

B. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 47, 49, 48, 47.

C. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 45, 45, 43, 41.

D. A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 5, 6, 7, 8, 9. The second column is labeled speed (miles per hour) with entries 45, 43, 41, 41, 41.

Answers

Answer:

The speed increases (45—>47—>49) then decreases (48—>47) over time.

Step-by-step explanation:

The speed increase {45—->47——>49

Please help I am very behind on my math

Answers

Answer

20/3

Step-by-step explanation:

100/15

20/3

6.666667

Answer:

20/3

Step-by-step explanation:

I think this is right

Stacy, Oliver, and Jivesh each plan to put a certain amount of money into their savings accounts that earn simple interest of 6% per year. Stacy puts $550 more than Jivesh, and Oliver puts in 2 times as much as Jivesh. After a year, the amount in Stacy's account is 2 times the sum of $212 and the amount in Oliver's account. How much does each person initially put into his or her account? Who had the most money in his or her account after a year? Who had the least? Explain.

Answers

2447 so yeahhhhhhhhhhhhj

Answer:

anwser is !21

Step-by-step explanation:

Are the ratios 1:3 and 4:5 equivalent?
yes or no

Answers

Answer:

No, they are not.

Remember, a ratio can be written as a fraction. So 1:3 is the same as 1/3 and 4:5 is the same as 4/5.

1/3 = 0.33

4/5 = 0.8

As you can see the both don't equal the same numbers, so they aren't equivalent.

Nope 3 does not go into 5

Can someone help me on this chart? the expressions for the perimeter of the rectangle is (4x2)+(2x2) =12
and for the octagon the perimeter is 1.5x8 = 12

please help?

Answers

Answer: (- _-)

Step-by-step explanation:

Who I have Ladybug and you have marinate, I don’t even think I spelled it right.


;-;
But good- Luck on- That problem





:)))

The height of a bookcase is 1.93 meters. Which expression converts this height to feet? Note: 1 foot is approximately 0.3048 meters and 1 meter is approximately 3.2808 feet.

A
1.93m×(0.3048ft1m)

B
1.93m×(3.2808ft1m)

C
1.93m×(1m0.3048ft)

D
1.93m×(1m3.2808ft)

Answers

I think it is A not 100%

The expression which converts the height of the bookcase to feet is 1.93 × (3.2808ft / 1m)

To make the conversion of meters to feets , we use dimensional analysis ;

We need to multiply the given measurement in meters by its appropriate or equivalent value in feets :

Recall :

1 meter = 3.2808 feets

Then the height of the bookcase in feets will be :

1.93 meters × 3.2808ft / 1m

Hence, the appropriate expression is : 1.93 meters × 3.2808ft / 1m

Learn more : https://brainly.com/question/18108995

Calculate The Area

Picture is provided! if you could explain how you got the answer as well​

Answers

Answer: 47.25

Step-by-step explanation:

the equation for finding the area of a triangle is base times height divided by 2

10.5(9)= 94.5

94.5/2=47.25

Answer:

47.25 sq ft is the area. no idea what you want me to do with the 4% though

Step-by-step explanation:

area for traingles = (base×hight)÷2

so your equation would he (10.5ft×9ft)÷2

10.5×9= 94.5

94.5÷2÷47.25

so the answer is 47.25 ft^2 (or simply sq ft)

Complete the point-slope equation of the line through (-4,8) and (4,4)
Use exact numbers.

y-4=

Answers

Answer:

y-4=(-1/2)(x-4)

Step-by-step explanation:

Slope=(8-4)/(-4-4)=-4/8=-1/2

The equation of the line is y-4=(-1/2)(x-4)

i use a slope calculator so im not sure if it right but here you go!

solving equations with variables on both sides


7+9x=6x-2

Answers

7 + 9x = 6x - 2

ANSWER: x = -3

Simple question for some points

3^1)x3)/3

Answers

Answer:

Here is your answer . Hope this helps.

Hi! I'm happy to help!

To solve this, we have to start inside the most parenthesis, then work our way out, then divide by 3.

We first have 3^1. There is a rule that x^1=x, so 3^1=3.

((3^1)x3)/3

(3x3)/3

Next, we have 3×3, which is 9..

9/3

Finally, we have 9/3, or 9÷3, which is 3.

3

So, our final answer is 3.

I hope this was helpful, keep learning! :D

Help me wit dis come on

Answers

Answer:

3x10^-3

Step-by-step explanation:

Please help I appreciate it!

Answers

Answer:

7:1

Step-by-step explanation:

As the strawberry juice cups increase by 7, the lemon lime juice cups increase by 1.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The answer is 7:1.

In a ratio whichever unit that is listed first will be the first number in the ratio. So, in this case the strawberry comes first then the banana so for every 7 strawberry there will be 1 banana.

Perform the indicated operation and simplify the result.

Answers

Answer:

51ab^2/20c

Step-by-step explanation:

[tex]\frac{17a^3b^2}{15b^3c^2} *\frac{18b^4c^3}{8a^2bc^2} \\\\\frac{17*18a^3b^6c^3}{15*8a^2b^4c^4} \\\\\frac{51ab^2}{20c}[/tex]

51ab^2/20c i think I’m not for though
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