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?
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
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.
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please help me with this
I WILL MARK AS BRAINLIEST! Solve the following
Answer:
6)
a. x=35
b. x=4
c. x=30
Step-by-step explanation:
6a) 7/9=x/45
7/9×45=x
7×45/9=x
315/9=x
35=x
x=35
————————
b. 10/8=5/x
5/4=5/x
5/4x=5(the x is in the middle of the division sign here)
5x/4=5(the x is NOT in the middle of the division sign)
5x=5×4
5x=20
x=20/5
x=4
———————
c. x/34=15/17
x=15/17×34
x=15×34/17
x=510/17
x=30
hope that helped you. I can't answer number 7, I'm sorry
find the exact coordinates of X on segment JK that is 1/3 the distance from j to k. J (-1,4) K(5,-3)
Answer:
ee
Step-by-step explanation:
e
I beg you, HELP MEEEE!!!!! One spinner is divided into four equal sections numbered 1 to 4. A second spinner is divided into five equal sections numbered 5 to 9. How many total outcomes are there if both spinners are spun?
13
9
20
36
Answer:
9 is the correct answer
Simplify the expression.
[tex]( \frac{1}{4} gh) ^{3} = \frac{ {g}^{3} {h}^{3} }{64} [/tex]
I hope I helped you^_^
Answer:
((1/4g)(h))^3
=1/64 g^3 h^3
Step-by-step explanation:
Circle question of the rug
That you needed answer for is ;
3/4 pi^2
Step-by-step explanation:
Proof 1/4 pi r^2
We can state the radius of small rug is 3ft
to show Area pi 3^2 = pi 9
If the large rug is 3x this size
then pi 9^2 = pi81
So the ratio here is 1 : 9 when 3 cm or 1 : 3 radius
Ratio is 1 : 9 when 1cm or 1 : 3 radius
When 1 : 9 cm when 5cm or 1 : 3 radius
So if we are considering an expression of the larger rug
that shows 3: 1 more radius to that of the small.
1/4 pi^2 becomes 3/4 pi^2 of the smaller rug
As this is 3 x 1/4 pi^2 we show 3/4pi r^2
Please help im giving 25 points
Answer:
4/15
Step-by-step explanation:
[tex]6\frac{3}{5} -6\frac{1}{3} \\\\\frac{33}{5} -\frac{19}{3} \\\\\frac{99-95}{15} =\frac{4}{15}[/tex]
I WILL MARK BRAINLIEST! Solve for X and Y
See the images. I hope it will help you.
Help please
......................
35x + 0.15y
=3500x + 15y
= 700x + 3y
2. x + (x+2) + (x+2+2) ----> x+x+2+x+4 ----->3x+6
3. 1/5*(r+7) - 9s -----> (r+7)/5 - 9s
4. x=cows and y= sheep+goats
Answer/x= (y+140)/2
Which expression is equivalent to
2x +(-7) - 2x - (-2)?
Answer:
-5
Step-by-step explanation:
Can somebody help me with questions 11 and 12 I’ll appreciate it!
3/2 = 5d - 1/2
solve for d
Answer:
D = 2/5 or 0.4
Step-by-step explanation:
3/2 = 5d - 1/2
move the terms
3/2 - 5d = -1/2
calculate the difference
-5d = -2
divide both sides by -5
2 = 2/5
When this 3-digit number is rounded to the nearest hundred it rounds down to 600. The digit in the ones place is the third odd number that you count beginning with 1. The sum of the digits is 13. What is the number?
Answer:
1. rounds down to 600 = 601 - 649
2. The digit in the ones place is the third odd number that you count beginning with 1. = 605
3. The sum of the digits is 13
Answer:
625
Step-by-step explanation:
Firstly, I found the ones place because I just needed to know the third odd number starting from 1. The first odd number is 1 then 3 and then 5, so I know that the digit in the ones place is 5.
Ones place: 3rd odd number: 1, 3, 5
Then, I looked at the hundreds place, because I know that it is rounded to down to 600 in the nearest hundred, I know it has to be 649 or smaller and bigger than 600. In the range of 600-649, the hundreds place remains the same, and therefore I know that the digit in the hundreds place is 6
Finally, to determine the tens place, I can do 13-(6+5) I can do this because I know that the sum of the digits is 13. Because 13-11=2, I know that the digit in the tens place is 2
Final number: 625
7+ ? ×5+9=66 what is the answer
Answer:
? = 10
Step-by-step explanation:
7 + ? × 5 + 9 = 66
Treat ? as a variable, and solve for ?.
5? + 16 = 66
5? = 50
? = 50/5
? = 10
Is –862 ÷ 1 positive or negative?
Answer:
Negative
Step-by-step explanation:
Answer:
It's negative
Step-by-step explanation:
–862 ÷ 1
= -862
and even remember that if a negative number is divided by positive the answer will be always negative
same applies here
at the mall, myna bought a shirt for 25.36, a hat for 5.09 and a belt for 11.45. how much did she spend altogether?
Answer:
41.90
Step-by-step explanation:
25.36 + 5.09 + 11.45 = 41.90
Answer:
25.36+5.09+11.45= 41.9
Step-by-step explanation:
Answer the question in the pic pls. Don’t answer unless you are sure if your answer
Answer:
its 20
Step-by-step explanation:
Given that |-6| > 3, which statement is not true?
-6 is farther from 0 than 3 is on the number line.
6 > 3
3 > -6
-6 is greater than 3.
Answer:
-6 is greater than 3.
Step-by-step explanation:
-6 is less than 3
I am literally struggling lol
Answer:
The blank space is 2.
Answer:
2
Step-by-step explanation:
9*22 = 198
(9*20) + (9*2)
= 180 + 18
= 198
Select all ratios equivalent to 2:3.
Answer:
12:18 and 10:12 (i think)
Step-by-step explanation:
After converting the given ratios in their simplest form, the equivalent form of 2:3 we get 12:18.
To find the simplest form of a fraction, you have to simplify the numerator and denominator to their lowest terms and keep dividing until you can no longer simplify the fraction any further.
The given ratios are,
12:18,
3:21,
10:12
For the ratio 12:18,
Simplify it by finding the greatest common divisor (GCD) of 12 and 18.
The GCD of 12 and 18 is 6.
By dividing both numbers by 6, we get the smallest ratio of 2:3.
Moving to the ratio of 3:21,
Find the GCD of 3 and 21, which is 3.
Dividing both numbers by 3 results in the smallest ratio of 1:7.
Find the smallest ratio for 10:12.
The GCD of 10 and 12 is 2.
Dividing both numbers by 2 gives us the smallest ratio of 5:6.
Hence, the simplest form of ratios for the given ratios are:
12:18 = 2:3,
3:21 = 1:7,
10:12 = 5:6.
Hence,
The ratio equivalent to 2:3 is 12:18.
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Help me Guess just help please
Answer:
the answer is irrational
Answer:
the answer is irrational
Complete both Part A and Part B.
Part A:
Jason buys a pair of pants for $28.97, a top for $12.82 and a scarf for $9.18. He has a gift card worth $75. If the sales tax on the purchase is $3.19, what is the total of his purchase?
Part B:
Will he have enough money left to buy a hat for $27.15?
Explain your answer.
number 27 pls snsinusnisbihwbhwbihbsyigsyuvwuhbwuhbwhi sorry i have to write 20 characters
Please refrain from answering just for the points
the answer is even number.
I WILL MARK AS BRAINLIEST! Graph each coordinate pair on the graph and then indicate which quadrant or axis the point lies on.
Answer:
3 quadrant
3 quadrant
2 quadrant
2 quadrant
1 quadrant
4 quadrant
4 quadrant
3 quadrant
Jeremy wants to make cookies. He makes some cookies, then eats 5 of them. He splits
the remaining amount into 3 equal portions and decides to give one portion to his mom
and one to his dad, and keep the last one to himself. He then makes 10 more cookies for
himself, before counting his cookies to find he has 17. How many cookies did Jeremy
make at the beginning?
Answer:
The answer is 36 cookies.
Step-by-step explanation:
Identify square root of 3 as either rational or irrational, and approximate to the tenths place.
Answer:
It is an irrational number, [tex]\sqrt{3}[/tex] as a decimal rounded to the tenth place is 1.7
Step-by-step explanation:
All square roots are irrational numbers
I will try to give braniliest
Can the following question be considered a statistical question, and why?
For how many hours does each student at Bryan Middle School sleep? (1 point)
Yes, it has a single answer
No, it does not specify the population
Yes, it anticipates enough variability in responses
No, it does not anticipate enough variability in responses
Answer:
the answer is C :)
Step-by-step explanation:
To find the average of a student’s test scores, add the scores and divide by the number of tests. Suppose Ryan scored 85, 92, 88, and 98 on four tests. Write a numerical expression to describe Ryan’s average test score.
Answer:
(85+92+88+98)/4
Step-by-step explanation:
No equal sign because it is a numerical expression.
Simplify the following fraction by putting it in lowest terms or by performing the indicated operation.
Step-by-step explanation:
I'm not sure but the simplified answer is 13/511 or what am I supposed to do
