A bakery sells mocha cupcakes and chocolate cupcakes. one day it sold 328 mocha and 72 chocolate. what percent of the cupcakes sold that day were mocha?
Answers
If a bakery sold 328 mocha and 72 chocolate in one day, then the percent of the cupcakes sold that day were mocha is equals to the 21.95% ~ 22%.
Percentage is a way to a number as ratio or fraction where the denominator is 100. We use the percent symbol (%). It is mainly used to represent a portion of a whole or to compare two numbers. The percentage can be calculated by dividing the value by the total value and then multiplying the resultant by 100. The formula used to calculate the percentage is, P = (value/total value)×100%
We have, a bakery sells mocha cupcakes and chocolate cupcakes.
Number of mocha sold by it in one day= 328
Number of chocolate cupcakes sold by it in one day = 72
We have to determine the percent of the cupcakes sold that day were mocha. Using the above percent formula, the percent of the cupcakes sold that day were mocha, P \(=\frac{72}{328}× 100\) = 21.95% ~ 22%
Hence, required percent is 22%.
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Related Questions
Explain in words why there is a factor of 2 (or 1/2) in the Virial theorem. Or in other words, what if there is no factor of 2 (i.e. KE=PE) ? Comment, therefore, on a key requirement to apply the Virial Theorem to an astrophysical problem.
Answers
The factor of 2 in the Virial theorem accounts for the balance between average kinetic energy and average potential energy in a system. Without this factor, the theorem would inaccurately represent the energy equilibrium.
The Virial theorem is a fundamental principle in physics that relates the average kinetic energy (KE) of a system to its average potential energy (PE). The theorem states that in a stable system, the average kinetic energy is equal to minus one-half times the average potential energy, or KE = -1/2 PE. The factor of 2 in the theorem is crucial for this relationship to hold.
To understand the significance of this factor, let's consider a hypothetical scenario where there is no factor of 2 in the Virial theorem, meaning KE = PE. In this case, the theorem would suggest an equal balance between kinetic and potential energies. However, this assumption contradicts our understanding of typical astrophysical systems.
Astrophysical systems, such as galaxies, stars, or even gas clouds, often possess a significant amount of gravitational potential energy. If there were no factor of 2, the theorem would imply that the kinetic energy of these systems is equal to the gravitational potential energy. This would imply that the system is on the verge of collapse or expansion, which is not usually the case for stable systems.
The factor of 2 in the Virial theorem accounts for the fact that the average kinetic energy of particles in a system is typically twice as large (in magnitude) as the average potential energy. This factor arises due to the virialization process, where particles oscillate between kinetic and potential energy as they interact with each other. The factor of 2 allows for a more accurate representation of the balance between these energies in a stable system.
In conclusion, the factor of 2 in the Virial theorem is essential to accurately describe the relationship between the average kinetic and potential energies in astrophysical systems. Without this factor, the theorem would fail to capture the typical energy balance observed in stable systems.
The Virial theorem is a powerful tool used in various fields of astrophysics, including the study of galaxies, star clusters, and even the dynamics of gas in the interstellar medium. Understanding its derivation and applications can provide deeper insights into the behavior and evolution of these astronomical systems.
Additionally, exploring the concept of virialization and how it relates to the factor of 2 in the Virial theorem can shed light on the dynamical processes occurring within these astrophysical environments.
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Twenty packs of fruit snacks come in a box. Each pack weight 6 ounces. Students eat some. There 48 ounces of fruit snacks left in the box. How many ounces of fruit snacks did the students eat?
Answers
Answer:
72 ounces of fruit snacks were eaten
Step-by-step explanation:
Because,
20(fruit snacks) * 6(ounces)= 120(ounces)
12(ounces) - 48(ounces) =72 (ounces eaten)
:)
barbara draws a parallelogram. jason thought it might be a rhombus. what additional information would have to be true for the parallelogram to also be a rhombus?
Answers
The additional information that would have to be true for the parallelogram to also be a rhombus is D. Opposite angles congruent
How to illustrate the parallelogram and rhombus?All rhombuses are parallelograms, but not all parallelograms are rhombuses. In a rhombus, all four sides are equal and the diagonals intersect at 90 degrees. In a parallelogram, the opposite sides are equal and the diagonals bisect each other.
Because its sides are parallel to one another, a rhombus can also be referred to as a particular kind of parallelogram. 360° is the total number of angles in a rhombus. Angles on either side of one another are equal, and adjacent angles are supplementary angles.
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Barbara draws a parallelogram. Jason thought it might be a rhombus. What additional information would have to be true for the parallelogram to also be a rhombus?a. Opposite sides congruent.b. Diagonals are perpendicular.c. Consecutive angles supplementary.d. Opposite angles congruent.
Vicky is planning her wedding. The number of guests she wants to invite determines the
number of announcements she orders.
g = the number of guests
a = the number of announcements
Which of the variables is independent and which is dependent?
Answers
Which sets of ordered pairs designate a function?
A) (2,3), (3,4), (4,5), (5,6).
B) (1,1), (-1,1), (2,4), (-2,4).
C) (0,0), (4,2), (4,-2), (5,5).
D) (0,4), (1,4), (2,4), (3,4)
Answers
I need help with steps on how to solve and how to get the answer
Answers
two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the length should equal the ratio of the width.
thus,
\(\begin{gathered} \frac{12}{x}=\frac{6}{10} \\ 12\cdot10=6x \\ 120=6x \\ x=\frac{120}{6} \\ x=20 \end{gathered}\)Therefore x=20.
If x is 5, then 6x = _____.
Answers
Answer:
30
Step-by-step explanation:
if x is 5, then 6x=______.
sub in the value of x for 5
when a variable and coefficient as next to eachother that means to multiply
so 6*5= 30
Answer:
\(\large \boxed{\mathrm{30}}\)
Step-by-step explanation:
\(x=5\)
\(\sf{Substitute \ x \ as \ 5 \ for \ 6x.}\)
\(6(5)\)
\(6 \times 5 = 30\)
A researcher determines that the number of bacteria increase at a rate modeled by =25*2^x. What is the growth rate?
Answers
Answer:
100%
Step-by-step explanation:
An exponential equation with a growth rate can be expressed as: \(f(x)=A(1+r)^x\) where r is a positive number, and represents the growth rate.
In this case since the base of the exponent equals 2, that means r=1, since 1+1=2. This means it has a growth rate of 100%, which makes sense, since the base is 2, meaning it doubles or increases by 100% every time x increases by 1.
high school has 36 players on the football team. the summary of the players' weights is given in the box plot. how many players weigh between 169 and 194 pounds?
Answers
There are 8 players who weigh between 169 and 194 pounds.
To answer this question, we can look at the box plot to understand the distribution of weights on the football team. The box plot shows us the minimum, maximum, median, and quartiles of the team's weights. The left quartile is 169 pounds, and the right quartile is 194 pounds. This means that 25% of the team's players weigh between 169 and 194 pounds. Since the team has 36 players, 25% of 36 is 9. However, since we are looking at the number of players between 169 and 194 pounds, we need to subtract 1 since the right quartile of 194 pounds is included in the number of players. Thus, there are 8 players who weigh between 169 and 194 pounds.
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Find the sum by suitable rearrangement 163+432+237+548
Answers
Answer:1380
Step-by-step explanation:
A group of researchers has studied the effect of a new cognitive therapy and the number
of pain attacks in a group of 13 patients. They want to know about the new one
therapy reduces the number of seizures better than placebo. Their data is not
normally distributed. Test using a Wilcoxon’s signed rank test to see if there is evidence to
conclude that the new therapy has a statistically significant effect.
New therapy 5 6 4 8 4 12 1 13 4 6 2 56 6 Placebo 13 5262 2 15 5 5 1 14 12 7 10
Answers
The Wilcoxon signed-rank test is employed to see if there is a substantial difference between two related samples. Here the new cognitive therapy group and placebo group are related samples as they both belong to the same sample of cognitive therapy's study. The Wilcoxon signed-rank test is performed on the rank-based data as the data is not normally distributed. Following is the calculation for Wilcoxon’s signed rank test:The null hypothesis for the Wilcoxon signed-rank test is that there is no difference between the new cognitive therapy and placebo treatments. While the alternative hypothesis is that there is a difference between the two treatments.
The Wilcoxon signed-rank test is performed as follows:
Rank all the data, with the lowest value being ranked 1 and the highest value being ranked 12.
Calculate the difference between the new cognitive therapy and placebo group scores.
Take the absolute values of the differences.
Rank the differences in ascending order and ignore the signs.
Calculate the sum of the ranks of the new cognitive therapy group.
Calculate the test statistic T.
For this dataset, the calculations of the Wilcoxon signed-rank test are as follows:
Data Ranked (New therapy) Difference Absolute Difference Ranked Differences + Rank Therapy Differences - Rank Placebo 5 1 4 3 4 4 6 2 4 4 2 2 4 4 8 7 1 1 1 12 10 2 2 3 5 1 6 13 12 1 8 7 7 4 4 1 5 5 5 1 14 13 1 2 1 15 7 8 7 7 5 9 10 3 5 8 56 12 44 12 12 11 7 Total 49
Calculating T:
\($$T =\) \(\frac{Total\ of\ positive\ ranks - \frac{n(n+1)}{4}}{\sqrt{\frac{n(n+1)(2n+1)}{24}}}$$\)
Here, n is the number of pairs, which is 12.
T = 3.52
Using the Wilcoxon signed-rank test table, the critical value at the 0.05 level for n = 12 is 18.
Since T (3.52) is less than the critical value (18), the null hypothesis cannot be rejected.
There is no evidence to suggest that there is a difference between the new cognitive therapy and placebo treatments.
What is the greatest common factor of 35 and 94?
Answers
Answer:
gcd(35, 94) = 1
Step-by-step explanation:
Similarly, converting between units can be very important, and it can be done by canceling units. For example, suppose that I want to convert 66 feet/second into miles per hour. If I know that there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour, then I can convert the quantity by multiplying it by those conversion factors in such a way that they cancel: ( 1 s
66ft )( 1 min60 s )( 1hr 60 min )( 5280ft1 mile )=45mile/hr I can do this because each conversion factor is equal to one, and multiplying by one does not change anything. Notice that if you cancel all the units that you can, you are left with the desired units. The numbers are evaluated with normal arithmetic. Cglints = 1 filn 4 ZCOS=1 strord Now you try, except I'm going to make up some fictional units for you to work with: There are 12 grees in a zool. There are 2 grees in 10 twibbs. There are 5 grees in a blob. There are 6 glints in a filn. There are 4 zools in a strord. 12 grees =1 ZOO 2 grees =10 twibs 5 grees =1 bic (a) Convert the quantity 7 glint/twibb (i.e., 7 glints-per-twibb) into filn/strord (i.e., filns-per-strord). As always, show your work. (b) Often we use prefixes for scientific units. For example, there are one-hundred centimeters in a meter. Similarly, the prefix kilo- means a factor of 10
3. For example, a kilometer is 10 3 meters or 1000 meters. If you need to review these prefixes, there is a handy chart on Wikipedia: ht tpa://en.wikipedia.org/wiki/Metric_prefix. Convert your answer from part (a) into megafiln/strord (i.e., megafilns-per-strord). (Hint: Check your answer for plausibility. Should the number of megafilns-per-strord be bigger or smaller than the number of filns-per-strord? If someone is going 1 foot-per-hour, are they going a larger number of feet-per-hour or a larger number of miles-per-hour?)
Answers
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.
(a) The given units can be converted as follows: 6 glints = 1 filn...
(1)12 grees = 1 zool...
(2)2 grees = 10 twibbs...
(3)5 grees = 1 bic...
(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:
7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord
(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.
1 mega = 106
Thus 1 megafiln = 106 filn
16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.
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Riley, while walking to school on Monday morning, observes a plane flying directly overhead at an altitude of 5km.
The diagram shows the angle of elevation to the plane, θ, and the horizontal distance, D, from Riley.
a. Show that the horizontal distance
D = 5/tanθ
b. Hence, show that the rate of change of the horizontal distance, in simplest form, is given by:
dD/dt = -5/sin^2θ dθ/dt
c. Given that the plane is moving at a constant speed of 780km/h, find the rate at which the angle of elevation is changing at the instant when θ = π/6 and interpret your answer.
Answers
a. D = 5/tan(θ)
b. dD/dt = -5/sin^2(θ) * dθ/dt
c. At θ = π/6, the rate at which the angle of elevation is changing is -78 km/h, indicating the plane is descending.
To solve this problem, we'll start by using trigonometry to relate the given information and then differentiate the equation to find the rate of change.
a. Let's consider the right triangle formed by the plane, Riley, and the point on the ground directly beneath the plane. The horizontal distance from Riley to that point is D, and the vertical distance (altitude of the plane) is 5 km. The angle of elevation to the plane is θ.
Using trigonometry, we have:
tan(θ) = (opposite side) / (adjacent side)
tan(θ) = 5 / D
Rearranging this equation, we get:
D = 5 / tan(θ)
b. To find the rate of change of the horizontal distance, we need to differentiate the equation with respect to time (t). Let's denote the rate of change of D as dD/dt and the rate of change of θ as dθ/dt.
Differentiating both sides of the equation D = 5 / tan(θ) with respect to t, we get:
dD/dt = d(5/tan(θ))/dt
Using the quotient rule for differentiation, we have:
dD/dt = (-5 sec^2(θ) dθ/dt) / (tan^2(θ))
Recall that sec^2(θ) = 1 + tan^2(θ), so we can rewrite the equation as:
dD/dt = (-5 dθ/dt) / (tan^2(θ)) * (1 + tan^2(θ))
Simplifying further, we get:
dD/dt = -5 dθ/dt / (sin^2(θ))
c. Given that the plane is moving at a constant speed of 780 km/h, we need to find the rate at which the angle of elevation is changing (dθ/dt) at the instant when θ = π/6.
Substituting θ = π/6 into the equation from part b, we have:
dD/dt = -5 dθ/dt / (sin^2(π/6))
Since sin(π/6) = 1/2, we can simplify the equation to:
dD/dt = -10 dθ/dt
We know that the speed of the plane is constant at 780 km/h, which means the horizontal distance (D) is changing at a constant rate. Therefore, dD/dt = 780 km/h.
Substituting this value into the equation, we have:
780 km/h = -10 dθ/dt
Solving for dθ/dt, we get:
dθ/dt = -780 km/h / 10
dθ/dt = -78 km/h
Interpretation: The rate at which the angle of elevation is changing at the instant when θ = π/6 is -78 km/h. This negative sign indicates that the angle is decreasing. Therefore, the plane is descending at an angle of approximately -78 km/h.
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please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
EP = GP
GP = HP
angle EFH = 45
Think these 3 are the right answers, hope it helps.
How does theoretical probability of the event flip heads change when a coin is flipped more times in a experiment
Answers
Answer:
The theoretical probability will not change.
Step-by-step explanation:
The theoretical probability will always be based on logic. If a fair coin has a head and tail, then it’s an even 50/50 chance of the coin landing on either side. If the coin is flipped more than once, the theoretical probability will stay the same.
The theoretical probability of the event flip heads does not change when a coin is flipped more times in a experiment.
What is theoretical probability?Theoretical probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
As the probability of an event can not be more than the number 1. Thus he probability of failure of a event is equal to the difference of the 1 to the success of the event.
The binomial experiment is the experiment in which the total number of output values is 2, therefore it is known as binomial experiments.
The number of independence variable in case of binomial experiments is fixed. Both the two output has the 1/2 chances to occur.
The theoretical probability, of an event is always remain same. It does not depends on the number of experiments or trial.
For the experiment of flipping a coin, there would only be two outcomes either a head or a tail. The theoretical probability to occur head will be 1/2 or 50 percent. This will be similar for the tail face.
Hence, the theoretical probability of the event flip heads does not change when a coin is flipped more times in a experiment.
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In a car rally, it took one car 4 hours to cover a distance of 300km and another car took 6 hours to cover the same distance. What was the average speed for the two cars?
Answers
Step-by-step explanation:
I am not really sure but aren't you supposed to find the value of v (bar) ?
So I guess the speed of the first car would be 75km/h and the speed of the second car would be 50km/h. if you want to find the average of these two speeds just do (75+50)÷2=62.5km/h. I am sorry I am confused
What is infinite algebra 1?
Answers
Infinite Algebra 1 is a software program developed by the company Kuta Software that provides an online resource for teaching and learning algebra 1.
It offers a comprehensive collection of algebra 1 problems and exercises that cover a wide range of topics such as linear equations, systems of equations, inequalities, polynomials, factoring, and graphing.
The program includes features such as an interactive equation editor, step-by-step solutions, and the ability to generate customized worksheets and assessments.
It is designed to provide students with a self-paced and adaptive learning experience that allows them to practice and reinforce their understanding of algebraic concepts. Infinite Algebra 1 is widely used in schools and educational institutions as a tool for teaching and practicing algebra 1.
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Which ordered pair is a solution of the equation? 2x+4y=6x-y OPTION A: Only (4,5) OPTION B: Only (5,4) OPTION C Both A and B OPTION D None
Answers
Answer:
option b
Step-by-step explanation:
replace x and y with the x and y of the ordered pair
option a: 2(4)+4(5)=6(4)-5
solve
8+20=24-5
28=19 not true
option b:2(5)+4(4)=6(5)-4
solve
10+16=30-4
26=26 true
what proportion of tickets sold are adult tickets? (image)
Answers
100-40=60
60/100=0.6
I need a little help -
Answers
Answer:
(6x6x6x6) x (6x6x6)
Step-by-step explanation:
6 to the power of four is just 6 multiplied to itself 4 times.
6 to the power of three is just 6 multiplied to itself 3 times.
So, you would be multiplying 6, 7 times.
You could check it with a calculator. - 6^4 x 6^3 = 279936.
6^7 = 279936.
a large group of people get together. each one rolls a die 120 times, and counts the number of aces (with a single dot). about what percentage of these people should get counts in the range 10 to 30? choose the closest answer. group of answer choices 68% 99% 28% 74%
Answers
Approximately 80.8% of the people should get counts in the range of 10 to 30 aces. The closest answer choice is 74%.
To estimate the percentage of people who would get counts in the range of 10 to 30 aces when rolling a die 120 times, we can use the normal distribution approximation.
The number of aces rolled by a person in 120 rolls of a fair die follows a binomial distribution with parameters n = 120 (number of trials) and p = 1/6 (probability of rolling an ace).
To apply the normal approximation, we need to check if the conditions are satisfied. When np ≥ 10 and n(1 - p) ≥ 10, we can approximate the binomial distribution with a normal distribution.
In this case, np = 120 * 1/6 = 20 and n(1 - p) = 120 * (5/6) ≈ 100, so the conditions are met.
Using the normal approximation, the distribution of counts will be approximately normal with mean μ = np = 20 and standard deviation σ = √(np(1 - p)) ≈ 4.32.
To find the percentage of people with counts in the range of 10 to 30, we can calculate the area under the normal curve between those values.
Using a standard normal distribution table or a calculator, we can find that the area under the curve between -1.74 and 1.74 is approximately 0.808, which corresponds to 80.8%.
Therefore, approximately 80.8% of the people should get counts in the range of 10 to 30 aces.
The closest answer choice is 74%.
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What is the greatest integer a, such that a^2+3b is less than (2b)^2, assuming that b is 5?
Answers
Answer:LARGEST VAULE IS A=9
Step-by-step explanation:
Parallelogram be is a scaled copy of parallelogram U what is the value of w ( please answer ASAP I'm in a rush)
Answers
A scaled-down version of parallelogram is parallelogram be. What does w equal for U
X has a value of 4.
Line BC and line AD are parallel in the picture that was submitted, and segment 15 is the midpoint.
The Midsegment TrapezoidTheorem states that a line going through the midpoint of a trapezoid leg, parallel to both bases, will also go through the midpoint of the other leg
The formula for calculating a trapezoid's midsegment is as follows:
As a result, x has a value of 4.
A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
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17. 7/8 = ?/48
A. 13
B.6
C. 42
D. 1
Answers
Answer:
C. 42
Step-by-step explanation:
7/8
- 7x6 = 42
- 8x6 = 48
So, 42/48
Answer:
42
Step-by-step explanation:
Fraction 3•5 • fraction 4•9 =
Answers
Answer:
Step-by-step explanation:
3.5×4.9
=35/10×49/10
=1715/100
Or 17.15 answer
Answer:
Step-by-step explanation:
3/5 times 4/9. multiply straight across. 3 times 4 is 12. 5 times 9 is 45. your answer is 12/45. but this answer can be simplified if we take out a 3 for each one. so you have 4/15
A motor boat whose speed is 18 km/h in still water. It takes 1 hour more to go
24 km upstream than to return downstream to the same spot. Find the speed of the boat?
Answers
The speed of the stream is 6 \(km/h\)
Let the speed of the stream be x km/h.
Therefore, the speed of the boat upstream = (18 – x) km/h, and the speed of the boat
downstream = (18 + x) km/h.
The time is taken to go upstream = distance/speed
\(24/(18-x)\) hours.
Similarly, the time is taken to go downstream =
\(24/(18+x)\) hours.
According to the question,
\(24/(18-x) - 24/(18+x) = 1\)
\(x^{2} +48x-324=0\)
Using the quadratic formula, we get
\(x=\frac{-48+\sqrt{48^{2}+1296 } }{2}\)
x = 6 or -54
Since x is the speed of the stream, it cannot be negative. So, we ignore the root x = – 54.
Hence the speed of the stream is 6 km/h.
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The perimeter of a rectangular
painting is 18 feet. It is 4 feet wide.
How high is it?
feet
Answers
Answer:
5 ft
Step-by-step explanation:
Since we have a rectangle, we know for sure that perimeter = double the width and double the height. Algebraically, that looks like:
P = 2W + 2H
Let's sub in the given values, P and W:
18 = 2(4) + 2H
Now, let's solve for the height, H:
18 = 8 + 2H
10 = 2H
10/2 = H
5 = H
I hope this helps!
What is the slope of the following line?
Answers
Answer:
-1/2
Step-by-step explanation:
The line passes through (0,2) and (2,1)
Slope = (1-2) / (2-0)
= -1/2
You want to create a triangle with sides of a, b, and c. Which of the following inequalities should be true?
a+b c
a-b>c
a-b