A wedding cake was cut into 30 slices. If 12 of the slices were eaten, what fraction represents the eaten portion of the cake? Reduce your answer to lowest terms.

Answers

Answer 1

Answer:

12/30, if you reduce then it would be 2/5 because you divided by 6 hope this helps! :D

Step-by-step explanation:

Answer 2

The fraction that represents the eaten portion of the cake is [tex]\frac{2}{5}[/tex]

Let the wedding cake be W.Let the eaten portion be E.

Given the following data:

Total wedding cake slices = 30 slicesNumber of cake slices eaten = 12 slices.

To find the fraction that represents the eaten portion of the cake;

In this exercise, you're required to find what fraction represents the eaten portion of the wedding cake.

[tex]Fraction = \frac{E}{W}[/tex]

Substituting the values into the equation, we have;

[tex]Fraction = \frac{12}{30}[/tex]

Dividing both sides by 6, we have;

[tex]Fraction = \frac{2}{5}[/tex]

Therefore, the fraction that represents the eaten portion of the cake is [tex]\frac{2}{5}[/tex]

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Related Questions

HElp MY BRO NEEDS HELP... again -/

Answers

Answer:

27 cubic units

Step-by-step explanation:

Answer:

[tex]The ~ volume: 27~cubic ~units[/tex] ✔︎

Step-by-step explanation:

[tex](3)(3)(3)[/tex]

[tex]Multiply[/tex]

[tex]so, your~ answer ~will ~be ~27[/tex]

༄✫༄✫༄✫༄✫༄✫༄

hope it helps...

have a great day!!

What is the volume of one cylinder ??

Answers

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².

help me fill this out! please be honest and help me , i'll mark you brainlesst

Answers

Answer/Step-by-step explanation:

1. The vertex of am angle is formed when two lines join together. The vertex of the angle shown in the diagram is located outside the circle.(<R)

2. The lines that created <FRT (lines FR & TR) are secants

3. The major arc = FT = 140°

minor arc = QS = 44°

4. Formula of Exterior angles of a circle = (major arc - minor arc)/2

x = (140 - 44)/2

x = 96/2

x = 48°

cesar is making a solution for his chenistry class. he puts 3/4 gram sodium chloride and 1/3 gram potassium chloride on the scale. what is the combined mass of the compounds?

Answers

The combined mass of the compounds is 13/12 grams

How to determine the combined mass of the compounds?

From the question, we have the following parameters that can be used in our computation:

3/4 gram sodium chloride and 1/3 gram potassium chloride

The combined mass of the compounds is then calculated as

Combined mass = sodium chloride + potassium chloride

Substitute the known values in the above equation, so, we have the following representation

Combined mass = 3/4 + 1/3

Evaluate the sum

Combined mass = 13/12

Hence, the combines mass is 13/12 grams

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Find the surface area and volume for this following pyramid

Answers

Answer:

the aswer is A  i did this

Step-by-step explanation

simplify 3*15-(3+5)/4-(3-2)

Answers

Answer:

13/10

Step-by-step explanation:

edg

Aponi is a member of the Shoshone Native American Indian
tribe. Her name means "butterfly." Aponi uses beads to make
hair barrettes with a butterfly design. The number of beads she
uses is proportional to the number of hair barrettes she makes.
Aponi graphs a line that shows the number of hair barrettes
she makes and the total number of beads she uses. Two
points on the line are (2, 150) and (5, 375).
What does the slope of the line mean in this situation?
O Aponi uses 45 beads to make each hair barrette.
Aponi uses 75 beads to make each hair barrette.
Aponi uses 150 beads to make each hair barrette.
O Aponi uses 225 beads to make each hair barrette.

Answers

A line that shows the number of hair barrettes she makes and the total number of beads she uses is y = 75x.

What is the graph's line's equation?

In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, you must first determine the slope and y-intercept. The slope is the ratio of the change in y to the change in x. Find two locations on the line, and then draw a sloping triangle joining them.

What is the name for a straight line?

A line is a perfectly straight, one-dimensional figure that extends infinity in both directions and has no thickness. To stress that a line has no "wiggles" anywhere along its length, it is sometimes referred to as a straight line or, more archaically, a right line.

Two points on the line are (2, 150) and (5, 375)

y - 150 = ( (375-150) / (5-2) )  (x-2)

y - 150 = 75 (x-2)

y = 75x

Equation of line is y = 75x

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I WILL GIVE BRAINLIEST!!!

Answers

Answer: X is less than or equal to -2.05

Using x as the variable for the problem, solve for x.
PLEASE HELP!!!! Hosting a party for 28 people, you plan to serve pizza for dinner. Each pizza
has 8 slices. How many pizzas must you buy so each guest gets at least 2
slices?
A. x56
B. x 6
C. x27
D. X>7

Answers

Answer:

I'm not sure but I think it's 7

Step-by-step explanation:

28×2= 8x

8÷56=8x÷8

7=x

NEED HELP 20 POINTS !!
The designers of a standardized test are interested in knowing how long people take, on average, to complete the writing portion of the test. They decide to conduct an observation study at a testing facility. To avoid bias in their study, they create a list of the test takers scheduled to take the test this week. Then, they randomly select 50 test takers from the list to be part of the study.

In this situation, what does the list of test takers represent?

A. the frame
B. the population
C. a control group
D. a sample

Answers

Answer:

A. Frame

Step-by-step explanation:

This is because it does not contain the who population and it is the place where the participants of the experiment are selected. It is not the control group because this includes people who were not even in the experiment.

The list of test takers represent the frame.

A frame consist of everyone in the population that has a chance of being picked.

The population represents the individuals that the researchers is interested in conducting the research on. The population of a study has similar characters.

The sample is the person that's selected from the population and represents the population as a whole.

The control group refers to the people that didn't partake in the experimentation carried out.

Therefore, the 50 test takers from the list represents the frame.

In conclusion, the  correct option is A "frame".

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Pls help! Step by step:)

Answers

Answer:

tan30° = [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{5}{12}[/tex]

Answer:

[tex]\dfrac{5}{12}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]

From inspection of the given right triangle:

θ = 30°O = 5A = 12H = 13

Substitute the values into the tan trigonometric ratio:

[tex]\implies \tan(30^{\circ})=\dfrac{5}{12}[/tex]

Let |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°. Which expression represents |r – s|?

Answers

The resultant of subtraction of both vectors is

|r - s| = √(r² + s² - 2rscos{15})

What are vectors?

A vector is an object that has both a magnitude and a direction.

Given is that |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°.

For the subtraction of vectors, we can write its magnitude as -

|r - s| = √(r² + s² - 2rscos{15})

Therefore, the resultant of subtraction of both vectors is

|r - s| = √(r² + s² - 2rscos{15})

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Evaluate the expression

Answers

Answer:

39

Step-by-step explanation:

6a - b = 6 x 8 - 9 = 48 - 9 = 39

Answer: 39

Step-by-step explanation:

Given that a=8 and b=9

The expression is 6a-b

That is; we have to find 6 times a and then subtract b from it.

6a = 6*8=48

b=9

6a-b=48-9=39

Therefore the answer to the question is 39.

Simplify the following expression: 3(5 – 12) + 4 ÷ 2
A. -19
B. 19
C. -23
D. -8.5

I think it's either A or B

Answers

3(5 - 12) + 4 ÷ 2 = - 19

A must be the answer

Lori works in a restaurant. She earns $7/hr plus tips. If Lori works 4 hours on a Tuesday, has $300 of food sales,

What is her base salary?

What is her Tips (18% of Food-sales) ?

What is her Total earnings?

Answers

Answer: Her total earnings would be $28+$54=$82.

Step-by-step explanation:

Lori's base salary is calculated by multiplying her hourly rate by the number of hours she works. If Lori works 4 hours on a Tuesday and earns $7/hr, her base salary would be 4*$7=$28.

Lori's tips are calculated as 18% of her food sales. If Lori has $300 of food sales on a Tuesday, her tips would be 18%*$300=$54.

Lori's total earnings for the day would be the sum of her base salary and her tips. In this case, her total earnings would be $28+$54=$82.

Ten less than 3 times a number is the same as the number plus 4. What is the number?

Answers

Answer:

3x-10=x+4

Step-by-step explanation:

Use compositions to determine if the functions below are inverses of
each other?*
f(x) = 5x & F-1(x) = x
Yes
No

Answers

Answer:

They are not inverse functions

Step-by-step explanation:

Given

[tex]f(x) = 5x[/tex]

[tex]f^{-1}(x) = x[/tex]

Required

Determine if both are inverse functions

First calculate the inverse of f(x)

[tex]f(x) = 5x[/tex]

Replace f(x) with y

[tex]y = 5x[/tex]

Swap x and y

[tex]x = 5y[/tex]

Make y the subject

[tex]y = \frac{1}{5}x[/tex]

Replace y with f-1(x)

[tex]f^{-1}(x) = \frac{1}{5}x[/tex]

By comparison:

[tex]f^{-1}(x) = x[/tex] and [tex]f^{-1}(x) = \frac{1}{5}x[/tex] are not the same:

Hence:

[tex]f(x) = 5x[/tex] and [tex]f^{-1}(x) = x[/tex] are not inverse functions

the probabiliity of getting exactly one tail is?

Answers

Answer:

50%

Step-by-step explanation:

assuming you are talking about one coin flip (because you didn't specify) you have a 50% chance to land on tails

The answer would be like 50 50 chance because you did give detail

Danielle is using 2 quarts of water in a recipe. How many cups of water is she using
?

Answers

Answer: 8 cups

Step-by-step explanation:

4 cups to 1 quart, so 2 x 4 = 8

Please answer DO NOT PIT LINKS I WILL FIND YOU​

Answers

Answer and Step by step exploration
y=5x^2-30x+95=5x^2-30x+45+50=5(x^2-6x+9)+50= (x-3)^2+50

What is the lowest common denominator of the math problem

6/9-2/3=

Answers

Answer:

Answer to 6/9-2/3= 0; Lowest common denominator = 3;

Step-by-step explanation:

You can only reduce 6/9 to 2/3, you cant reduce the fraction any further.

Help I need done quick

Answers

Answer: 160

Step-by-step explanation:

I divided 144/9 to see how many students are their per 10% of the 90% of students and got the answer 16. I then added 16 as the other missing 10% to 144 and got the answer 160.

Plz help me well mark brainliest if correct!!

Answers

Answer:

It’s schedule B

Help me please !! Please

Answers

Answer:

i believe the last one is right.

10 points LAST QUESTION :DDDDDD

The Scale factor of Dilation is 3. What will be the four pairs of coordinates for the enlarged image? The center of dilation is 0,0, point of origin.

Answers

Answer:

Step-by-step explanation:

A 1948 study in Biometrika investigated the effects of several different diets on the weight of chickens. In this study, chickens were randomly assigned to one of several different groups, and each group of chickens received a different type of feed. The data provided represent a subset of data from this study and show the weights (in grams) of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
Use software to conduct an analysis of variance (ANOVA) ????F‑test to test the claim that the mean weights of chickens receiving sunflower, meatmeal, soybean, and casein are equal. What are the ????F‑statistic and pp‑value for this test? Please round your ????F‑statistic to the nearest two decimal places and your pp‑value to the nearest five decimal places.
1. ????F‑statistic :
2. pp‑value :
Based on the pp‑value for this ANOVA ????F‑test, select the correct conclusion at the ????=0.05α=0.05 level.
a. Since the pp‑value is greater than ????=0.05α=0.05, there is little evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
b. Since the pp‑value is less than ????=0.05α=0.05, there is significant evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
c. Since the pp‑value is less than ????=0.05α=0.05, there is little evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
d. Since the pp‑value is greater than ????=0.05α=0.05, there is significant evidence of a difference in the mean weights of chickens receiving the sunflower, meatmeal, soybean, and casein feeds.
weight feed
368 1
390 1
379 1
260 1
404 1
318 1
352 1
359 1
216 1
222 1
283 1
332 1
325 2
257 2
303 2
315 2
380 2
153 2
263 2
242 2
206 2
344 2
258 2
243 3
230 3
248 3
327 3
329 3
250 3
193 3
271 3
316 3
267 3
199 3
171 3
158 3
248 3
423 4
340 4
392 4
339 4
341 4
226 4
320 4
295 4
334 4
322 4
297 4
318 4

Answers

hope this helps!! ^.^ -

Answer: F: 5.90, P: 0.00175, p-value is less than 0.05, so there is significant evidence

Step-by-step explanation:

9x+12y=-108 Please solve this, but it cannot be in fraction form!!!

Answers

All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept


X=-12

Y=-9

Five student government officers want to go to the state convention. It will cost them $115 for registration, $365 for transportation and food, and $55 per person for the hotel. There is $485 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $6 per car, how many cars must they wash in order to have enough money to pay for the trip?

Answers

Answer:

45 cars

Step-by-step explanation:

115+365+(55*5) = 755

755 - 485 =270

270/6 = 45

At times 6 x 10 To the six power cubic feet of water go over Niagara Falls every minute there are 1440 minutes and one day at this rate how many cubic feet of water would go over Niagara Falls in one day

Answers

Answer:

6.718464×10^13 / 67184640000000

Step-by-step explanation:

6×10^6 = 46656000000 × 1440 = 67184640000000

A gym membership is $28 to join and $10 paid monthly.

Create a table to represent this scenario, then create an equation.

Enter your answers in the boxes.

Months Purchased Total Cost ($)
0 28
1
38
2
48
3
58
4
68


The equation to represent this scenario is y =
x +
.

Answers

Answer:

sorry needed points so sorry

Step-by-step explanation:

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