The maximum number of bags is an illustration of the greatest common factor
The maximum number of bags John can make is 8
The given parameters are:
[tex]Chocolate=48[/tex]
[tex]Peanut=56[/tex]
Start by expressing 48 and 56 as a product of their factors.
[tex]Chocolate = 1 \times 2 \times 2 \times 2 \times 2 \times 3[/tex]
[tex]Peanut = 1 \times 2 \times 2 \times 2 \times 7[/tex]
The product of the common factors between the above products is:
[tex]Factors = 1 \times 2 \times 2 \times 2[/tex]
Multiply
[tex]Factors = 8[/tex]
The above represents the greatest common factor of 48 and 56.
Hence, the maximum number of bags John can make is 8
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Step-by-step explanation:
To determine the maximum number of bags John can make, we need to find the greatest common divisor (GCD) of the two quantities: 48 chocolate chip cookies and 56 peanut butter cookies.
The GCD is the largest number that divides both quantities without leaving a remainder. It represents the maximum number of bags that can be made, with each bag containing an equal number of cookies of each type.
Let's find the GCD of 48 and 56:
Step 1: List the divisors of each number:
Divisors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 56: 1, 2, 4, 7, 8, 14, 28, 56
Step 2: Identify the common divisors in both lists:
Common divisors of 48 and 56: 1, 2, 4, 8
Step 3: Determine the greatest common divisor (GCD):
The greatest common divisor of 48 and 56 is 8.
So, John can make a maximum of 8 bags, with each bag containing an equal number of chocolate chip and peanut butter cookies.
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Sarah opened a savings account with a $725 deposit. This account earns 3.5% annual interest compounded twice each month. How long will it take her account to reach a balance of $2000 if there are no other deposits or withdrawals.
It will take 29 years to reach $725 to $2000 compounded twice in a month.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
The formula for compound interest compounded twice each month is,
A = P(1 +(r/24)/100)²⁴ⁿ.
Given, A = 2000, P = 725, r = 3.5.
∴ 2000 = 725(1 + (3.5/24)/100)²⁴ⁿ.
(1 + (3.5/24)/100)²⁴ⁿ = 2.76.
(1.00146)²⁴ⁿ = 2.76.
24n = [tex]log_{1.00146}2.76[/tex].
24n = 695.87.
n = 29 years.
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The angle of depression from a window 10 m above the ground to a coin on the ground is 15°. Find the distance of the coin from the base of the building. Show your reasoning for each step.
a*3a^(2) help quickly
Is (-2,-6) a solution of y < 7+ + 8?
Answer:
rthrthrt
Step-by-step explanation:
Approximately what portion of the circle is shaded blue?
A. 2/5
B. 2/3
C. 1/3
Can someone pls answer them all?
Please help me with this please
At the candy store, one pound of candy Cost $6.49. How much would it cost if Joey bought .79 pounds of candy ?
Answer:
5.12
Step-by-step explanation:
1 lb .79 lbs
------------ = -----------
6.49 x dollars
Using cross products
1x = 6.49 * .79
x =5.12 dollars
Use the graph to find the distance between point A and Point E.
Answer:
7
Step-by-step explanation:
A scientist crosses two pea plants that are
heterozygous for plant height and flower
color. Tall is dominant over short and purple is
dominant over white. The plant height and
Flower color genes are unlinked. Complete the
information below and the Punnett square.
Then answer the questions below.
The Punnett square is a diagram divided into squares that is used to determine genotypes.
The question is incomplete, as the required details such as the characters that represent the plant heights and the flower colors are not given.
So, I will give a general explanation instead.
Assume the plants that are crossed are represented as: TT and Tt.
The possible genotypes would be TT, TT,Tt and Tt
In the above list of genotypes, genotype T is dominant over genotype t
See attachment for an illustration of the Punnett square.
Read more about Punnett square at:
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For f(x) = 4x+1 and g(x) = x^2 -5, find (f-g)(x)
Answer:
(f-g)(x) is given by -x^2+4x+6
Step-by-step explanation:
[(-4 2/7) x (-18)] x (-3 8/9) x (-1)
Answer:
300
Step-by-step explanation:
[(-4 2/7) x (-18)] x (-3 8/9) x (-1)
= [-30/7 x -18] x -35/9 x -1
= 540/7 x -35/9 x -1
= -300 x -1
= 300
Answer:
check if the question I used is right or not
If 3(x − 2) = −7, then x =?
Answer:
-5 2/3
Step-by-step explanation:
is 3(x-2) = -7 then it's same as 3x-6=-7
We simplify this by adding 6 and subtracting 6.
Our result is
3x=-17
-17/3=-5 2/3
A birthday cake was cut into equal pieces, and 10 pieces were eaten. The
fraction below shows how much cake was left over. According to the fraction,
into how many pieces was the cake cut?
1
11
A. 1
B. 10
C. 21
D. 11
assuming the fraction is 1/11, the denominator shows how many parts the WHOLE was sliced into, namely 11 parts.
the price of an article is Marked 25% above the cost price .if it is solid the profit of Rs.500 after allowing 15% discount .what will be it's selling price
Answer:
Rs 8500
Step-by-step explanation:
For a cost price of c, the marked price is ...
marked = c +25%·c = 1.25c
After the 15% discount, the sale price will be ...
s = marked -15%·marked = 0.85·marked = (0.85)(1.25c) = 1.0625c
The profit will be the difference between the sale price s and the cost c:
p = s -c
500 = (1.0625c) -c = 0.0625c
Then the cost is ...
500/0.0625 = c = 8000
and the sale price is ...
s = c +p = 8000 +500 = 8500 . . . rupees
The selling price will be Rs 8500.
What's the length of QR?
Answer:
using the pithagerum therom
a² + b² = c²
this formula is to find the side of your triangle with 2 sides already known
the answer is A) 17.7
Samuel buys office supplies for his home buissness
Answer:
What supplies?
Step-by-step explanation:
What does it mean to be an independent student? A. You must pick your own study topics and research them. B. You can set your own deadlines, within a fixed time frame. C. You are responsible for your own study schedule and organization. D. You are expected to work without extra help from a teacher or tutor.
Answer:
C
Step-by-step explanation
It makes the most sense
Answer:
check online for more information
Please help me with these proof questions!
Answer:
The answers can be seen in the photo
Macy's is having an unbelievable sale this holiday season! All shirts are 205 off and all jeans are 25% off. How much would jeans cost after the sale if they had a price tag of $60?
Step-by-step explanation:
100% - 25% off = 75%
Here, 75% of the initial price X, is the sale price of jeans during the season which is $60.
75/100 × X = $60
75X/100 =$60
( cross multiply)
75X=100×60
75X= 6000
X=6000÷75
X= $80
how many 5 letter code words can be formed from the letters of the word MATRICES
113
Hope this helped you- have a good day bro cya)
pls help me, pls pls plss help
Answer:
1. given
2. inscribed circle theorem
3. substitution
4. definition of congruent angles
1 What is the universe made of? ...
2 How did life begin? ...
3 Are we alone in the universe? ...
4 What makes us human? ...
5 What is consciousness? ...
6 Why do we dream? ...
7 Why is there stuff? ...
8 Are there other universes?
1. big planets and carbon dioxide
2. when god sent adam (the first human being) to earth and had a female with him they got married and gave birth to children and the children marry each other and so on.
3. yes we're the only alive humans within this universe, but outside the universe are god and his worshippers.
4. our human-shaped bodies are the way we feel, hear, look, and do lots more things!
5. when someone feels unlike normal.
6. to feel there's a side of u that can do the impossible.
7. things were passed down from generations so it's possible that "stuff" can be made back when adam came to earth but other than that there was "stuff" even before humanity.
8. yes
other than that, hope u got ur questions solved
Determine the value of the unknown
0 - e = 5
Help
Geometry 1
Find z
Answer:
8
Step-by-step explanation:
The triangles are the same, except one is dilated.
So the hypotenuse of one is 5, and the other is 10. The triangle is dilated to double the other's size. so 4*2 = 8
I have no idea what i just wrote, but the answer is correct.
Help help math math math
Answer:
400
Step-by-step explanation:
10 movies * 5 drinks * 8 candy = 400 ways different ways to choose
Answer:
400
Step-by-step explanation:
please help me with math.
Answer:
Invalid
Step-by-step explanation:
This is invalid because you don't have to go some were to love something.
Answer:
Invalid
Step-by-step explanation:
All graduates love football;
This means all people who are graduates will love the football, it tells us nothing at all about people who are not graduates;
These people may love football or they may not;
Tom loves the football, thats all we are told;
He could, therefore, fall into either category, being a graduate since all graduates love the football or not being a graduate, since these might also love the football.
A scuba diver descends farther down into the ocean from an initial depth of 15.2 feet below sea level. The scuba diver descends at a constant rate for 212 minutes and reaches a depth no more than 46.7 feet below sea level.
What is the maximum rate, r, that the scuba diver may descend?
r≥241925
r≤12.6
r≤241925
r≥12.6
Answer:
r <= 12.6
Step-by-step explanation:
Let's calculate the rate at which he descends:
r = (46.7 - 15.2)/212 = 0.15 feet/minute
on tuesday a local a hamburger shop sold a combined total of 448 hamburgers and cheeseburgers , the number of cheeseburgers sold was three times the number of hamburgers sold how many hamburgers were sold on tuesday ?
What is m∠JNK? Enter your answer in the box.
*NOT a question, I had trouble with this on my test and couldn't find anyone that had asked, so here is the correct answer. Merry Christmas everyone! :-)
Answer:
Merry Christmas too!!
Step-by-step explanation:
Stay safe lovelots
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