Answer:
1/3 of all of the books
Step-by-step explanation:
5/5 - (2/5 +1/5) =2/5
2/5(1/3) = 2/15 nonfiction mystery books
2/15 + 1/5 = mystery books
1/5 = 3/15
2/15 + 3/15 = 5/15
5/15 = 1/3
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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Cheryl, Rita and four of their friends go to a movie and share a 48-ounce bag of popcorn equally and three 48 inch licorice laces equally write a ratio comparing the number of ounces of popcorn to the number of friends. then write a unit rate comparing the lenght of licorice lace for each person.
Answer:
Ratio of 48:5 and 28.8 inches of licorice per friend
Step-by-step explanation:
Ratio: Rita AND 4 of her friends go to the movie, meaning there would be 5 people. All 5 of them decide to share a 48 0unce bag of popcorn. The number problem is asking you to create a ratio comparing the number of ounces of popcorn (48) to the number of friends (5). Therefore, your ratio would be 48:5
Unit rate: Once again, there are 5 people there. Those 5 friends would like to share three 48inch long peices of licorice. The question is asking you to decide how many inches of licorice each friend gets. The first step would be to see how many inches in total we have by multiplying 48*3. That is 144 inches of licorice. The next step would be to divide the number of inches by the number of friends. That would be 144/5 and give you 28.8. The last step is to write out your unit rate. 28.8 inches of licorice per friend.
Hope that helped!
Perform the indicated operation. -(20) divided by -(10)
10
-10 30
-30
Answer: 2
Step-by-step explanation:
-20 / -10
= 2
Since (-) + (-) = positive
please help giving brainlest if work shown, explained step by step
Answer:
sorry but your question photo is whole black what to give step by step sorry if it seemed rude
if there is 1/2 of a pizza and jonas only wants 1/3 of the pizza, how much will he get?
A. 1/5
B. 2/5
C. 1/6
D, 2/6
Answer:
Option C is the right answer.
Step-by-step explanation:
1/2 × 1/3 = 1/6
Answer:
C. 1/6
Step-by-step explanation:
it is not a whole pizza, it is half, so 1/3 of a half pizza is equal to 1/6 a whole pizza.
Point Q is the image of (-7, 2) under a translation of 8 units to the right and 2 units up.
QUESTION: where is point q?
I. Describing a Translation
Example 1: Describe the following translation in words and in coordinate notation
On-the-Go Phone Company has two monthly plans for their customers. The EZ Pay Plan costs $0.15
per minute. The 40 to Go Plan costs $40 per month plus $0.05 per minute.
a) Write an expression that represents the monthly bill for x minutes on the EZ Pay Plan.
b) Write an expression that represents the monthly bill for x minutes on the 40 to Go Plan.
c) Write an equation to represent the point at which the monthly bills for the two plans are equal.
d) Solve the equation, showing each step.
e) Interpret the solution of the equation within the context of the problem.
Answer:
a. 0.15x
b. 40+0.05x
c. 0.15x=40+0.05x
15x=4000+5x
x=400 min
Find the number that makes the ratio equivalent to 21:9.
84:
Answer:
36
Step-by-step explanation:
21/9=84/x
x=84(9/21)
x=36
1. Next door neighbors attend the same school but take different routes to go between home and campus.
Student A’s mom drives a distance of 12 miles and takes about 30 minutes.
Student B’s dad drives a distance of 11.5 miles and takes about 29.5 minutes.
Which parent is driving at a faster rate and how do you know?
2. Which of the following are equivalent to 75 mi/hr?
a. 1 mi/75 hr
b. 25 mi/20 min
c. 37.5 mi/50 min
d. 150 mi/1.5 hr
e. 225 mi/3 hr
GIVING BRAINLIEST, THANKS AND FIVE STARS!!
Express each number as a product of its prime numbers.
1. 245
2. 510
3. 250
4. 1,089
5. 4,725
6. 900
18. 27,000
Answer:
Numbers expressed as a product of prime factors are as follows:-1. 245 = 5 × 7 × 7
2. 510 = 2 × 3 × 5 × 17
3. 250 = 2 × 5 × 5 × 5
4. 1089 = 3 × 3 × 11 × 11
5. 4725 = 3 × 3 × 3 × 5 × 5 × 7
6. 900 = 2 × 2 × 3 × 3 × 5 × 5
18. 27000 = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5
Help needed asap please
Answer:
I don't understand the language you used
Simplify the following expressions:
1. 12a + 14b + 7a^2 -13b + 3 =
2. (p^4 y^7)^3 =
3. r^8 (ra)^-3 (write without negative exponent) =
4. x^8• (2x)^3 =
Answer:
Anssss::12a+ b+ 7a^ { 2 } +3
Please help me! I need details! Please be specific. Thank you!
Pre-algebra
8th grade
I will give everything that I can give you I just need to understand this
Which fraction equals the ratio of rise to run between points (0, 8) and (-4, 3)?
Answer:
y = 5/4x + 8
Explain Your Answer
9*10^7 is how many times as large as 3*10^-2
Answer:
A
Step-by-step explanation:
9 is 3 times larger than 3
10^7 is 10^5 times larger than 10^-2.
(just subtract the exponent)
I hope this helps!
pls ❤ and mark brainliest pls!
Determine the surface area of the cylinder below.
351.9 m2
301.6 m2
251.3 m2
452.4 m2
Brittany went grocery shopping , she spent 4/7 of her money on fresh foods. she spent 2/3 of the remainder of her money on frozen foods. if she spent 22$ on frozen foods. how much money did she spend on fresh foods?
Answer:
$44
Step-by-step explanation:
Let the total amount of money be represented by Y
Amount spent on fresh food =
[tex] \frac{4}{7} \times y[/tex]
Remainder =
[tex]y - \frac{4}{7}y = \frac{3}{7} y[/tex]
Amount spent on frozen foods = two-thirds of remainder = $22
[tex] = \frac{2}{3} \times \frac{3}{7} y = \frac{2}{7} y[/tex]
[tex]\frac{2}{7} y = 22 \\ y = 22 \times \frac{7}{2} \\ y = 77[/tex]
The total amount for grocery shopping is $77
Therefore, Brittany spent $44 on fresh foods
[tex] = \frac{4}{7} \times 77 \\ = 4 \times 11 \\ = 44[/tex]
Can someone please help
Answer: 327 1/3
Step-by-step explanation:
Please help me!!!!!!!!!!
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:
A spinner with five equal-sized colored sections is spun with the results shown in the table. Based on the experimental probability, predict the number of green results for 240 trials.
Red Orange Yellow Green Blue
15 17 16 18 14
18
36
54
72
Answer:
I'd guess 54
Step-by-step explanation:
If the sections are all equal sized, there's an equal chance the arrow/spinner would land on them. If you divide 240 by 5, you get 48. The closest number to 48 is 54.
Help!
Farmer Doug has some pigs and chickens.
One day he counted 24 legs 7 heads in the barnyard.
How many of each animal did Farmer Doug Count? __
With Explanation, please!
the sum of three consecutive odd integers. what are the three integers
Answer:
I dont know
Step-by-step explanation:
Answer:
Complete step-by-step answer:
Sum of 3 consecutive odd numbers is equal to 51.
Let the odd number be ‘x’. Then the next consecutive odd number becomes ‘x + 2’ and the next term becomes x + 2 + 2 = ‘x + 4’.
Now the sum of these three odd consecutive terms = x + x + 2 + x + 4 = 3x + 6.
According to the given, 3x + 6 = 51.
⟹3x = 51 – 6
⟹x =453=15.
Hence, the numbers are 15, 17 and 19.
Note: In order to solve this type of questions the key is to consider a variable to be odd and compute the sum of three consecutive odd numbers in terms of this variable. Then by solving for this variable we can determine the numbers. Any odd number added with 2 gives an odd number itself.
Step-by-step explanation:
Identify each solution as rational or irrational square root of 4 times 2/5
Answer:
I hope this helps <3
Step-by-step explanation:
Using a calculator, √1.6=1.26491.... , which is an irrational number
Identify the graph of the following equation.
x ≥ 1
Answer:
It's the 5th answer / E
Step-by-step explanation:
Which is a TRUE statement about the transformation shown?
A
The graph shows a dilation, and the pre-image and image are similar.
B
The graph shows a translation, and the pre-image and image are congruent.
C
The graph shows a reflection, and the pre-image and image are congruent.
D
The graph shows a translation, and the pre-image and image are similar.
Answer:
I think C is the correct answer
What is N=0.8888… as a fraction? Pls come through with this and show the steps-
Answer:
8/9
Step-by-step explanation:
x = 0.8888....
10x = 8.88888
10x - x
8.888888.. - 0.88888....
the repeating decimals cancel out
9x = 8
x = 8/9
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Please help me! Thank you
the answer option has been attached
Step-by-step explanation: