Four friends made 55 cupcakes and shared them equally.
How many cupcakes did each friend get?
Answers
Out of the 55 cupcakes shared equally among four friends each friend will have 13 cupcakes.
What is the unitary method?A unitary method is a mathematical technique for finding the value of a single unit and then deriving the required units by multiplying with the single unit.
To find how many cupcakes each friend gets we can use the unitary method.
Given four friends made 55 cupcakes, therefore each friend can have (55/4) = 13.75 cupcakes, But the no. of cupcakes should be integers.
∴ Each friend can have 13 cupcakes.
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Related Questions
7+2x/4=5 i ll mark the brailliest
Answers
Your expression is a little unclear, but I am assuming your expression as:
\(7+\frac{2x}{4}=5\)
The solution would still clear your concept in anyway.
Answer:
The value of x = -4
Step-by-step explanation:
Given the expression
\(7+\frac{2x}{4}=5\)
solving the expression
\(7+\frac{2x}{4}=5\)
as 2x/4 = x/2, so
\(7+\frac{x}{2}=5\)
subtract 7 from both sides
\(7+\frac{x}{2}-7=5-7\)
simplify
\(\frac{x}{2}=-2\)
Multiply both sides by 2
\(\frac{2x}{2}=2\left(-2\right)\)
simplify
\(x=-4\)
Thus, the value of x = -4
Solve the equation. Please help
Answers
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
Step 1: Add 3/4 on both sides
We get
2y/3 = 1/12+3/4
We add fractions by calculating a common denominator, adjusting the numerators accordingly and adding them. See this in action below:
12 and 4 have a common multiple in 12 which will be our common denominator. Now, 1/12 does not need to be adjusted, but 3/4 becomes 3*3 / 3*4 = 9/12.
In total 1/12 + 9/12 = 10/12
So, we have 2y/3 = 10/12
Now we multiply both sides by 3, so that the 3 will cancel out the 3 in the denominator on the left side:
2y =30/12
Now we just need to divide by 2 and get the solution:
y = 15/12 = 3*5 / 3*4 = 5/4
Therefore the final answer is A:
The solution set is {5/4}
What is the area of this rectangle ?
Answers
Answer:
1x
Step-by-step explanation:
Area is length times width. Because there isnt a value for x, the area is just 1x. Let me know in the comments if it was right!
GIVING BRAINLIEST
In the coordinate plane, the points A (7, 5), B(-10, -9), and C(4, - 11) are reflected over the x-axis to the points A, B', and C', respectively. What are
the coordinates of A', B', and C'?
Answers
Answer:
A (-7,5) . B (10,9) . C (-4,-11
Step-by-step explanation:
x = 2, w = -1, y = 6, z = 4 x²+4w - 2y
Answers
Answer:
-12Step-by-step explanation:
\(x = 2\\ w = -1\\ y = 6\\ z = 4\\x^2+4w-2y\\\)
\((2)^2 +4(-1) -2(6)\\4 -4 -12\\0-12\\\\=-12\)
Answer:
4x² + 4w - 2y
4(2)² + 4(-1) - 2(6)
4×4 + (-4) - 12
16 - 4 - 12
12 - 12
0 is the answer
A study was conducted on the educational level of patients with AIDS, it was asume that
with ten years of education will be in group A, between 10 and 20 group B and between 20
group C. After the analysis it was realized that group A had 100 persons while group B and C had 30 persons
(a) If you decide to select based on proportion of 10% from each group how many patien
selected from each group. Show your calculation.
(b) What name can be given to the classified groups?
(c) What method of sampling was employed in the selection process?
1. State and explain the three major data collection techniques.
What is a variable?
What is a Parameter?
Answers
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.
(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.
(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.
The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.
The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.
A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
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Part D
Now use GeoGebra to measure the lengths of segments AB and BC and calculate the area of rectangle ABCD. Do you get the same result that you obtained in part C? Take a screenshot with the lengths of the sides labeled and the area displayed, and paste it below.
Answers
Answer:
id ont givea
efijhaoieuvbhzoiubhoewivbawzoufhbealivjhbr
Step-by-step explanation:
idsifui piuh vSeth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?
In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0 respectively. If the coefficient skewness is - 0.38
What is the appropriate value of the third quartile
Answers
Answer:
56.45
Step-by-step explanation:
Coefficient skewness=(Third quartile+ first quartile)-n*Median/Third quartile-first quartile
Third quartile is the unknown?
First quartile is 30.8
n is the number of steps taken from first quartile to reach third quartile which is 2 steps.
coefficient skewness is -0.38
let p represent third quartile
-0.38=(p+30.8)-2(48.5)/p-30.8
by cross multiplication
-0.38(p-30.8)=(p+30.8)-97
-0.38p+ 11.704 =p+30.8-97
-0.38p-p=30.8-97-11.704
-1.38p=-77.904
p=-77.904 /-1.38= 56.45
mary wants to make a milkshake by choosing 5 flavors of ice cream and putting a scoop of each in the blender. If mary has 32 flavors of ice.cream available to her, how many different kinds of milk shakes can she make?
Answers
Answer:
201,376
Step-by-step explanation:
This is a combination because order doesn't matter
32 C 5 = 201,376
The number of different kinds of milkshakes that she can make will be 201,376.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
Mary wants to make a milkshake by choosing 5 flavors of ice cream and putting a scoop of each in the blender. If mary has 32 flavors of ice cream available to her.
Then the number of the different kinds of milkshakes that she can make will be given by the combination formula.
Combination = ³²C₅
Combination = 32! / [(32 - 5)! x 5!]
Combination = 32 x 31 x 30 x 29 x 28 x 27! / (27! x 5 x 4 x 3 x 2 x 1)
Combination = 8 x 31 x 29 x 28
Combination = 201,376
The number of different kinds of milkshakes that she can make will be 201,376.
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The type of light waves that living things give off naturally is called O gamma radiation. infrared light. O visible light. O radio waves.
Answers
Answer:
Infrared light
Step-by-step explanation:
Infrared cameras capture heat signals from living or warm objects. Body heat is given off as infrared energy; our natural eyes can't see it.
Answer:
Infra-red Light
Step-by-step explanation:
The figure is cut into 15 equal pieces. Shade 2/5 of the figure
Answers
Answer: Shade 6 pieces
Step-by-step explanation:
Because 2/5 of 15 is 6
Correctly explains how to estimate 33% of 87.
Answers
Solve for c.
3c − 2 = 7
c =
Answers
Answer:
Exact Form:
c = − 1 2
Decimal Form:
c = − 0.5
Step-by-step explanation:
Answer:
c = 3
I hope this helps!
-|8-15| what is the answer
Answers
Answer:
-7
Step-by-step explanation:
8-15 = -7 but since it's an absolute value, it is 7 and then you add the negative sign in front since it is not in the absolute value.
Need some help I’m stuck!!!!
Answers
Answer:
I think it’s
False
True
True
True
True
False
True
False
Identify the next three numbers in this sequence
Answers
Explanation: the pattern is multiply by 4 then subtract 6.
Answer:
72,66,264
Step-by-step explanation:
17) Which property is represented below?
6. (3 + 8) = 6:3+ 6.8
A. Commutative property of multiplication
O B. Distributive property
O C. Zero product property
D. Additive identity property
Answers
Answer:
Distributive Property
Step-by-step explanation:
It looks like you are multiplying the 6 to both the 3 and 8.
Find the value of y.
Answers
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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Which of the following values is a solution to the inequality (x+5)/3 < 2x?Question 2 options:x = –5x = 13x = –1x = 3
Answers
Answer
x = 3
Explanation
Given inequality:
\(\frac{x+5}{3}<2x\)Multiply both sides of the inequality by 3 in order to clear fraction:
\(\begin{gathered} \frac{x+5}{3}\times3<2x\times3 \\ =x+5<6x \end{gathered}\)Combine the like terms
\(\begin{gathered} x+5<6x \\ x-6x<-5 \\ -5x<-5 \end{gathered}\)Divide both sides by -5. Note the < will change to >
\(\begin{gathered} \frac{-5x}{-5}>\frac{-5}{-5} \\ x>1 \end{gathered}\)This implies the values of x must be greater than 1, i.e. in terms of whole number, x = 2, x = 3, x = 4, ......... could be any of the solutions.
Hence,
\(x=3\text{ is a solution to the inequality}\)If you take any positive integer and apply the following infinitely:
If the number is even, divide by two
If the number is odd, multiply by 3 and add 1
Will every integer eventually fall back down into the 4, 2, 1 loop, or is there a positive integer that never falls down into that loop?
Answers
This is known as the Collatz Conjecture, and it remains an unsolved problem in mathematics. Despite extensive computational evidence suggesting that the conjecture is true, a proof or counterexample has yet to be found.
The conjecture states that no matter what positive integer you start with, applying the "3n+1" rule (multiply by 3 and add 1 if n is odd) or "n/2" rule (divide by 2 if n is even) repeatedly will eventually lead to the sequence 4, 2, 1, and then it will loop endlessly: 4, 2, 1, 4, 2, 1, and so on.
While the conjecture has been checked for all starting values up to at least 10^20, no one has been able to prove that it holds true for all positive integers. It is possible that there exists a starting value that does not eventually fall into the 4, 2, 1 loop, but no such value has been found.
Simplify the expressions:
−8y³ x 5y8
Answers
I hope this helps.
Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.
Step-by-step explanation:
You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.
Hope this helps! Have a good day :)
Growth models question
Answers
The recursive formula for this problem is given as follows:
\(P_n = 1.05 \times P_{n - 1}\)
The explicit formula for this problem is given as follows:
\(P_n = 150(1.05)^n\)
The number of tickets in 2026 is given as follows:
297 tickets.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n}\)
In which \(a_1\) is the first term.
The parameter values for this problem are given as follows:
\(a_1 = 150, q = 1.05\)
Hence the function is given as follows:
\(P_n = 150(1.05)^n\)
2026 is 14 years after 2012, hence the number of tickets is given as follows:
\(P_{14} = 150(1.05)^{14} = 297\)
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Work out, giving your answer in its simplest form: 3 3/4 × 2 4/5
Answers
Answer:
⇒ \(\frac{21}{2}\)
or
⇒ \(10 \frac{1}{2}\)
Step-by-step explanation:
3 3/4 = 15/4
2 4/5 = 14/5
⇒\((\frac{15}{4} *\frac{5}{5} )(\frac{14}{5} *\frac{4}{4} )\)
⇒\(\frac{75}{20} *\frac{56}{20}\)
⇒\(\frac{4200}{400}\)
⇒ \(\frac{21}{2}\)
or
⇒ \(10 \frac{1}{2}\)
2. Find the area to the left oF z= 2
Answers
The approximate area to the left of z= 2 is 0.978
Finding the area to the left of z = 2From the question, we have the following parameters that can be used in our computation:
The left of z= 2
The area to the left of z is calculated by calculating the probability that the z-score is less than 2
In other words, this is represented as
Area = (z < 2)
This can then be calculated using a statistical calculator or a table of z-scores,
Using a statistical calculator, we have the area to be
Area = 0.97725
When this value is approximated, we have the approximated area to ve
Area = 0.978
Hence, the area is 0.978
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Which table of ordered pairs matches the following function? y=1/2×-1
Answers
we need to cheack each table for each we must check each pairs replacing on the equation
1)
x=-2
\(\begin{gathered} y=\frac{1}{2}(-2)-1 \\ y=-2 \end{gathered}\)x=-1
\(\begin{gathered} y=\frac{1}{2}(-1)-1 \\ y=-1.5 \end{gathered}\)x=0
\(\begin{gathered} y=\frac{1}{2}(0)-1 \\ y=-1 \end{gathered}\)x=1
\(\begin{gathered} y=\frac{1}{2}(1)-1 \\ y=-0.5 \end{gathered}\)x=2
\(\begin{gathered} y=\frac{1}{2}(2)-1 \\ \\ y=0 \end{gathered}\)all pairs in the first table match so the correct option is the first
how many like terms are in the expression 4j^2 +3j^2-9j^2
Answers
Answer: 16j^3+2
Step-by-step explanation:
there are how many distinct website graphics to be created?
Answers
According to the question there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.
What is website?A website is a collection of related web pages, images, videos, and other digital assets that are hosted on a web server and can be accessed by users over the internet. A website is typically identified by a unique domain name and can be accessed by typing the URL into a web browser.
Using the formula for calculating the number of combinations of size k from a set of size n (n choose k), we can calculate the number of distinct website graphics that can be created by using at least four of seven different bitmap images as follows:
n = 7 (7 different bitmap images)
k = 4 (at least 4 of the 7 bitmap images)
Number of distinct website graphics = (7 choose 4) = 35
Therefore, there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.
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Cual es la distancia que recorrió luis en su bicicleta rodada 20p (2.54) después que las llantas dieran 50 vueltas completas
porfaaa
Answers
Luis traveled approximately 31,736.8 inches on his bicycle.
We have,
To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.
Given:
Radius of the tires (r) = 20p (2.54) inches
Number of complete turns (n) = 50
The circumference of a circle can be calculated using the formula:
Circumference = 2πr
Substituting the given radius into the formula, we have:
Circumference = 2π * (20p) inches
Now we can calculate the distance traveled (d):
Distance = Circumference x Number of complete turns
Distance = 2π x (20p) x 50 inches
To simplify the calculation, we can approximate π as 3.14:
Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches
Calculating this expression, we find:
Distance ≈ 31736.8 inches
Therefore,
Luis traveled approximately 31,736.8 inches on his bicycle.
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The complete question.
What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns
A researcher is studying psychological factors in artistic achievement among teenage boys. One variable he is particularly interested in is perseverance.
1. What information does a measure of variability for the variable perseverance convey?
2. What is the most common value for the variable perseverance among teenage boys?
3. How spread out are the values for perseverance among teenage boys?
4. What is the central tendency for the variable perseverance among teenage boys?
5. What is the average value for the variable perseverance among teenage boys?
Answers
Answer:
How spread out are the values for perseverance among teenage boys?
Step-by-step explanation:
1. What is the most common value for the variable perseverance among teenage boys? - This deals with MODE. Hence, this option is not correct because the problem does not deal with a specific value of the perseverance variable but about the variability of the perseverance variable
2. What is the central tendency for the variable perseverance among teenage boys? - This deals with the MEDIAN. However, since the problem is about determining dispersion, and not a central tendency, it is incorrect.
3. What is the average value for the variable perseverance among teenage boys? - This deals with the MEAN. Hence, it is not correct either.
However, since the given situation deals with a measure of variability for the variable perseverance conveys, the correct answer is "How spread out are the values for perseverance among teenage boys?" Because it measures how far are the observation away from the center.
114
4. Line p contains point (6,-5) and is perpendicular to line q. The equation for line gis y = 3x + 5.
Write an equation for line p.
Part I: Find the slope of line q. (1 point)
Part II: Find the slope of line p. (Write the negative reciprocal of the slope you found in Part I.) (1 point)
that
Part III: Use the point given for line p and the slope you found in Part II to write an equation for line pin
point-slope form: y - y₁ = m(x-x₁). (1 point)
Answers
Line q has slope 3, as you've found.
Any line perpendicular to q will then have slope -1/3, as you've found.
Line p thus has slope -1/3 and we know it passes through (6, -5), so from the point-slope formula we get the equation
\(y - (-5) = -\dfrac13 (x - 6) \implies \boxed{y + 5 = -\dfrac13 (x - 6)}\)