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.
PLEASE MARK AS BRAINLIEST IF SATISFIED WITH THIS ANSWER PLEASE
a ratio of two measurements having different units of measure IS ONE
STEP EQUATION
true
false
The statement that a ratio of two measurements having different units of measure IS ONE is false
Ratios are used to relate measurements of different quantities.
The measures of the quantities may or may not be one (1).
When the second quantity has a measure of one, then the ratio is called a unit rate.
So, the quantities may be one, but it is not a requirement that the measure of one or both quantities be one.
Hence, the statement is false
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Help please, ill give 5 stars, and brainly ofc (if correct)
Answer:
Step-by-step explanation:
part a = 1 x 4
part b = b
Answer:
y=2x+25
the graph is B.
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 recipe to make 5 cupcakes calls for 10 tablespoons
of sugar. Alicia wants to make 10 cupcakes using this
recipe. What equation will she need to use to find out
how many tablespoons of sugar to use?
Answer:
10×5
Step-by-step explanation:
put a zero at the end of five and make it 50
How do you multiply fractions? Please explain step by step to get marked
Answer: 10/3
Step-by-step explanation
2/3x5
2/3x5/1
Now goahead and multiply the top and bottom numbers
The answer to this question?
Answer:
1. 59 2.90 4.31 3. Sorry I dunno
Step-by-step explanation:
1. the 59 degrees is the same.
2. It's a perfect angle
3. Sorry
4.180-90-59=31
i have 100 points
i need some help!!
Answer:
Option D: [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]
Step-by-step explanation:
GIven the following inequality statement:
[tex]\displaystyle\mathsf{7x\:+\:6\:\geq \:\frac{-x}{2}}[/tex]
Start by eliminating the fraction on the right-hand side.
Multiply both sides of the inequality statement by 2:
[tex]\displaystyle\mathsf{2(7x\:+\:6)\:\geq \:\bigg[\frac{-x}{2}\bigg](2)}[/tex]
2(7x + 6) ≥ -x
Next, distribute 2 into the terms inside the parenthesis:
14x + 12 ≥ -x
Subtract 12 from both sides:
14x + 12 - 12 ≥ -x - 12
14x ≥ -x - 12
Add x to both sides:
14x + x ≥ -x + x - 12
15x ≥ - 12
Divide both sides by 15 to isolate x:
[tex]\displaystyle\mathsf{\frac{15x}{15}\:=\:\frac{-12}{15}}[/tex]
[tex]\displaystyle\mathsf{x\geq -\frac{4}{5}}[/tex] or [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]
Therefore, the correct answer is Option D: [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]
the lcm of 5 and 8 is??
combine like terms (3x-2y+z)+(5z-8x-5y)+(-15x+8z)
Answer:
−20−7+14
Step-by-step explanation:
Equation 2
T
.
X
-
Show
2(4k + 3) - 13 = 2(18 – k) - 13
Answer:
Step-by-step
= 2 ( 1 8 − ) − 1 3 -13=2(18-k)-138 + 6 − 1 3
= 2 ( 1 8 − ) − 1 3
LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given)
Answer:
See below
Step-by-step explanation:
W (-1, 0) W' (-2, 0)
X (2, 2) X' (4, 4)
Y (2, -1) Y' (4, -2)
Plot these 3 points on the graph.
PLEASE HELP WILL MARK BRAINLIEST!
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf \sqrt{ {x}^{3} } [/tex][tex] \sf { ({x}^{3} ) }^{ \frac{1}{2} } [/tex][tex] \sf (x ){}^{3 \times \frac{1}{2 }} [/tex][tex] \sf{x {}^{ \frac{3}{2} } }[/tex]Hence, the required power in fractional form is ~
[tex] \sf \frac{3}{2} [/tex]
-6+ (-19) =
Evaluate
How do I Subtract fractions! Please explain step by step to get marked
Answer:
1) Make sure the bottom numbers (the denominators) are the same.
2) Subtract the top numbers (the numerators). Put the answer over the same denominator.
3) Simplify the fraction (if needed).
Step-by-step explanation:
Hope this helps!
emma has 63 pencils noah has 49 penecils and michel has 77 pencils.Use the GCF and the distributive property to find the total number of pencils
Step-by-step explanation:
the greatest common factor (GCF) is 7.
it is 9×7, 7×7 and 11×7.
so the total number of pencils is
7×(9 + 7 + 11) = 7×27 = 189
Kangaroo hops 2 kilometers in 3 minutes how long does it take the kangaroo to travel 5 kilometers
Answer:
7.5minutes
Step-by-step explanation:
If it travels 2kilometers every 3 min, that means it travels 2/3 kilometer per minute. Then divide 5 kilometers by 2/3kilometers/min, which gets you 7.5minutes
[tex]\begin{gathered}\begin{gathered} \small \colorbox{grey}{\color{lightgreen}{✓\sf \,\:\,Verified \, Answer}[/tex]
Answer: ooo ok i got it. it is nice
This table shows the median age of
women who were first married in different
years. During which time interval did the
age increase at the greatest rate? What
was the rate of increase for that interval?
Year
1950 1980 1990 1995
2000
Age
20.3
22.0
23.9
24.5
25.1
(yr)
Answer:
1950-1980
Step-by-step explanation:
...........
what two numbers multiply to -36 and adds to 1?
Which description best describes the association between variables x and y?
picture is below
Answer:
The dots have a weak positive correlation.
Step-by-step explanation:
The values on the graph, or dots, are generally going upwards, meaning they are positive. If they were generally going downwards, or from the top left to bottom right, they would be negative.
The values are not tightly packed together. If they were, they would have a strong positive correlation. Instead, they are loosely around each other. But because they are not completely random all over the graph, the correlation is weak.
Hence, the values on the graph have a weak and positive correlation.
[tex]\sqrt[3]{y} (7\sqrt[3]{8y^2}-\sqrt[3]{y^5} -4y\sqrt[3]{27y^2}[/tex] simplify
Answer:
[tex]\huge\boxed{-y^2+2y}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]y\cdot\left(7\sqrt[3]{8y^2}-\sqrt[3]{y^5}-4y\sqrt[3]{27y^2}\right)\\\\=(\sqrt[3]y)(7\sqrt[3]{8y^2})-(\sqrt[3]y)(\sqrt[3]{y^5})-(\sqrt[3]y)(4y\sqrt[3]{27y^2})\\\\=7\sqrt[3]{(y)(8y^2)}}-\sqrt[3]{(y)(y^5)}-4y\sqrt[3]{(y)(27y^2)}\\\\=7\sqrt{8y^3}-\sqrt{y^6}-4\sqrt{27y^3}\\\\=7\sqrt[3]{2^3y^3}-\sqrt{y^{2\cdot3}}-4\sqrt{3^3y^3}\\\\=7\sqrt[3]{(2y)^3}-\sqrt{(y^2)^3}-4\sqrt{(3y)^3}\\\\=7\cdot2y-y^2-4\cdot3y\\\\=14y-y^2-12y\\\\=-y^2+2y[/tex]
Used:
[tex]a(a+b)=ab+ac\\\\\sqrt[3]{a\cdot b}=\sqrt[3]a\cdot\sqrt[3]b\\\\\sqrt[3]{a^3}=a\\\\(a^n)^m=a^{n\cdot m}[/tex]
The distances between the bull's-eye of a target and 100 darts thrown by an expert
please help
step bu step
Answer:
what ang hirap nmn anong grade ka na ba
can’t figure it out, need help
Answer: 74+39=113. So the answer is 113
Question 8 of 25
An English teacher has equal numbers of fiction, literature,
and poetry books. Each day, she randomly selects one book
to read from. She designs a simulation to estimate the
probability that the next three books she selects are all
literature.
Which simulation design could she use to estimate the
probability?
The simulation design could she use to estimate the probability is
Number cube
Let 1, 6 = literature
Let 2, 5 = fiction
Let 3, 4 = poetry
Roll the cube three times. Repeat.
What is simulation?Simulation is the process of creating a model or representation of a real-world system or process and conducting experiments with the model to observe how it behaves or performs under different conditions.
We have,
This simulation design assigns each book in the teacher's collection a unique number from 1 to 6, with literature books assigned the numbers 1 and 6, fiction books assigned the numbers 2 and 5, and poetry books assigned the numbers 3 and 4.
Rolling a number cube simulates the teacher randomly selecting a book each day, and repeating this process three times allows for the estimation of the probability that three consecutive selections will be literature books.
This simulation design is appropriate because it accurately represents the probabilities of selecting literature, fiction, and poetry books from the teacher's collection and allows for repetition to simulate multiple days of book selections.
Thus,
The simulation design could she use to estimate the probability is
Number cube
Let 1, 6 = literature
Let 2, 5 = fiction
Let 3, 4 = poetry
Roll the cube three times. Repeat.
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Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be an even number?
By finding the probability that the unit digit is even, we will see that the probability that the 5-digit number will be even is P = 4/9.
So we have a 5-digit number, let's say that it is:
abcde
Now, we have 5 "slots" where we can put numbers from 1 to 9 (without replacement).
We want to find the probability that the number will be even, so we only care for the last digit, e (it must be even).
Let's assume that the first digit at which we assign its value is this, e, the last one.
For this digit we have 9 options, {1, 2, 3, 4, 5, 6, 7, 8, 9}
4 of these options are even numbers.
So there are 4 out of 9 cases where the last digit is even, then the probability that the 5-digit number will be even is just:
P = 4/9
Now the other four digits can be anything (even or odd), so we only care for the probability above.
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The rectangular prism shown is formed by six intersecting planes.
Where do the planes ABFE and EFGH intersect
Answer:
Line EF
Step-by-step explanation:
Planes intersect at lines
The planes ABFE and EFGH intersected by line EF.
What is Prism?A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.
We have cuboidal prism which have faces ABFE and EFGH.
To find the point for intersecting we have to find a point or line which is common in both planes.
Here the point E and F are common.
But the plane EF is also common
Thus, the intersecting line is line EF.
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Lumber pieces that are 1 1/2 inches thick are being piled in the bed of a truck. The bed rests at a height of 36 inches and the crew has been instructed to make sure the height of the pieces above the ground does not exceed 7 feet. What is the greatest number of pieces of lumber that can be placed in a stack ? can someone please answer <33
Answer:
Step-by-step explanation:
36 inches = 3 ft
max height of lumber stack is 7 - 3 = 4 ft.
4 ft = 48 inches
48 inch / 1.5 inch/board = 32 boards
Factorise fully 2x2 – 8x
[tex]2x^2-8x=2x(x-4)[/tex]
Answer:
2x ( x - 4)
Hope that helps?
What is the sales tax on a jacket priced at $275 if the sales tax rate is 7%?