Luke, Kira and Ali each served 2/3 of their own cake. Each cake was the same size, but luke served 4 slices, Kira served 6 slices and Ali served 8 slices. How is this possible?

Answers

Answer 1

Answer:

The whole slices of the cakes of Luke, Kira and Ali are 6, 9 and 12 respectively. So it is possible.

Step-by-step explanation:

It's possible because they cut cakes into different number of slices.

You know that Luke, Kira and Ali each served [tex]\frac{2}{3}[/tex] of their own cake and Luke served 4 slices, Kira served 6 slices and Ali served 8 slices.

Being x the whole slices of cake, and if Luke served [tex]\frac{2}{3}[/tex] of his cake, which are 4 slices, the whole slices of cake of Luke is:

[tex]\frac{2}{3}*x=4 slices[/tex]

Solving:

x= 4 ÷[tex]\frac{2}{3}[/tex]

x= 6

Then, whole slices of Luke's cake is 6.

Performing the same approach for Kira you get:

[tex]\frac{2}{3}*x=6 slices[/tex]

x= 6 ÷[tex]\frac{2}{3}[/tex]

x= 9

Then, whole slices of Kira's cake is 9.

Finally, performing the same approach for Ali you get:

[tex]\frac{2}{3}*x=8 slices[/tex]

x= 8 ÷[tex]\frac{2}{3}[/tex]

x= 12

Then, whole slices of Ali's cake is 12.

The whole slices of the cakes of Luke, Kira and Ali are 6, 9 and 12 respectively. So it is possible.


Related Questions

What is 3\times2 \dfrac{2}{3}3×2 3 2 ​ 3, times, 2, start fraction, 2, divided by, 3, end fraction? Choose 2 answers: Choose 2 answers: (Choice A) A 888 (Choice B) B \dfrac{24}{3} 3 24 ​ start fraction, 24, divided by, 3, end fraction (Choice C) C 6\dfrac{2}{3}6 3 2 ​ 6, start fraction, 2, divided by, 3, end fraction (Choice D) D \dfrac{8}{3} 3 8 ​

Answers

Answer:

8

Step-by-step explanation:

Given the expression 3 * 2 2/3

This can also be expressed as;

3 * 2 2/3

= 3 * 8/3

= (24/3)

= 8

hence the product of both numbers is 8

The equivalent value of the fraction is A = 8

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be represented as p

Let the second number be represented as q

Now , A = pq

when the value of p = 2 2/3

And , when the value of q = 3

On simplifying the equation , we get

A = ( 2 2/3 ) / ( 3 )

So , the left hand side of the equation is equated to the right hand side by the value of ( 2 2/3 ) / ( 3 )

A = ( 2 2/3 ) / ( 3 )

A = ( 8/3 ) / ( 3 )

On simplifying , we get

Multiply by 3 on the fraction , we get

A = ( 8 x 3 ) / 3

A = 8

Therefore , the value of A = 8

Hence , the fraction is A = 8

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Which one is the correct answer please

Answers

The slope is negative 2 explanation isn’t needed

Which is an equation?
A)17 + x
B)45➗ x
C) 20x = 200
D) 90- x

Answers

Answer:

20X=200 because an equation contains LHS and RHS

PLEASE HELP I NEED THIS ASAP PLEASE PLEASE!​

Answers

Answer:

C. 2.7 repeating

Step-by-step explanation:

25/9 = 2.777777777777777

Sam cut a 28-foot rope into 4 equal pieces. How long is each piece of rope in inches? -HELP PLEASE THIS IT DUE IN 5 MINUTESSS

Answers

Answer:

84 inches

Step-by-step explanation:

12 inches are in 1 foot, so you take the number of feet (28) and multiply by the number of inches in a foot (12)

28×12=336 (inches)

then you take 336 and divide by 4 to get your 4 equal pieces.

336 divided by 4 = 84, 84 inches

Lainey bought a set of 20 makers for $6 what is the cost of 1 marker?

Answers

Answer:

0.30

Step-by-step explanation:

$6 Total

20 markers

6/20=0.30

0.3 per maker.

Cost of 1 marker is $0.30

multiply each pair of factors. type the product in the space provided
(6+3i)(6-3i) =______
(4-5i)(4+5i)=_______
(-3+8i)(-3-8i)=______

Answers

After multiplication of pair of complex numbers, the results of product are respectively 45, 41, 73

What is complex number?

The complex number is a combination of real number and imaginary number. The representation of complex number is like, a + bi.

where a is real part and b is imaginary part, the value of i is √-1.

i × i = -1

i⁴ = 1

Given that, pair of complex numbers

(6 +3i )×( 6 - 3i) =  6×6 -6×3i + 6×3i - (3i × -3i)

                         = 36 - 18i + 18i + (-3i × 3i)

                         =  36 + 9

                         =  45

(4-5i) × (4+5i)   =  4×4 + 4×5i - 4×5i - (5i × -5i)

                        = 16 - 20i + 20i + (-5i × 5i)

                        = 16+25

                        = 41

(-3+8i) × (-3-8i) = -3×-3 + (-3× -8i) - 3×8i + (8i × -8i)

                        = 9 +24i-24i +64

                        =  73

Hence, The result of products are 45, 41, 73

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Answer: (6 + 3i)(6 − 3i) = 45, (4 − 5i)(4 + 5i) = 41, (−3 + 8i)(−3 − 8i) = 73

Step-by-step explanation:

3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum’s furthest distance to either side was 6 in. Graph the function that represents the pendulum’s displacement as a function of time.
(a) Write an equation to represent the displacement of the pendulum as a function of time.
(b) Graph the function.

Answers

Answer: Hi I just finnish this assignment yesterdaylol

im still doing revisons on my "works shown" but heres a screenshot of my work (DO NOT JUST COPY N PASTE MY WORK, THE TEACHERS WILL KNOW )(U HAVE TO WRITE IT ON A PICE OF PAPER BY UR SELF)

Step-by-step explanation: do u go to cava (10th grade?)

im wondering because i need help on an assignment lol.

also, here is the feed back i resived  from my teacher.

"#3 The graph needs to be more accurate such as same distance, symmetric, and height.  Missing steps to finding b.  Use the formula for finding the period, but instead solve for b.  (-5)

Show how the period is found.  Include a table showing substitution for the five points.  attend office hours at 8:30am if you need help with this."

when you finish the revisions can you please show me it too. PLZ MARK BRAINLIEST

Thank you.

and ur welcome lol

Determine if the table is linear or non linear
-9,-7
-6,-7
-1,2
14,16

Answers

Answer:

I plot the points to a graph but I don't have access to a 14 I only have a 10 grid graph but I was able to plot the other points this is wht I got

Step-by-step explanation:

let me know if u can't see it..... I would say it's nonlinear

A recipe for fizzy juice says, “Mix 5 cups of cranberry juice with 2 cups of soda water.” The ratio of cranberry juice to soda water is 5:2. How many cups of cranberry do we need for 8 cups of soda?

Answers

Answer:

you'll need 20 cups of cranberry

The box-and-whisker plot below represents some data set. What percentage of the data values are less than 80?

Answers

Answer:

25

Step-by-step explanation:

25%

delta math

its a right triangle 20ft and 24ft?

Answers

Answer:

a triangle, I'm guessing 20ft and 24 ft on the outsides,

would be:

Equation to get the area of a triangle: (A*B)/2

(20*24)/2=Area

20*24= 480

480/2= 240

area= 240

Answer: 240 ft²

Step-by-step explanation:

1. Multiply the base and the height.

2. Divide the product you get by 2.

=> 20 * 24 = 480

=> 480 / 2 = 240

Choose the solution to this inequality. 43< − 8/3 y

Answers

Since there is a negative on the y term, we need to get rid of that and thus flip the sign at the same time. Getting.

-43>8/3y

Now we just need to divide 8/3 on both sides dividing 8/3 on left can also be written as *3/8

-43*3/8>y

Now flip this entire equation

y<-43*3/8

y<-129/8

If your teacher want you to calculate just divide the fraction, but I recommend not to if your teacher don't ask for it and just leave it this way.

Hope it helps! :D

¿Cuáles son las longitudes de un terreno rectangular, si se sabe que el ancho es dos veces más pequeño que el largo, y que su área es de 16, 200 m2? cuanto mide el ancho cuanto mide el largo

Answers

Answer:

El largo tendrá un valor de 180 m y al ancho tendrá un valor de 90 m

Step-by-step explanation:

Un rectángulo es un cuadrilátero con dos lados de igual longitud y dos lados de igual ancho que contiene cuatro ángulos rectos. Para encontrar el área de un rectángulo, debes multiplicar su longitud por su ancho. Es decir, el área del rectángulo es igual al largo por el ancho.

En este caso, sabes que el ancho es dos veces más pequeño que el largo. Entonces, siendo el largo x, el ancho tendrá un valor de x÷2.

Siendo el área del terreno rectangular 16,200 m², entonces

x*(x÷2)= 16,200 m²

Resolviendo:

x² ÷2= 16,200 m²

x²= 16,200*2 m²

x²= 32,400 m²

x= √32.400 m²

x= 180 m

Entonces, el largo tendrá un valor de 180 m y al ancho tendrá un valor de 90 m (180 m÷ 2)

After swimming 60 feet below the surface of water, a whale swims up 30 feet. Use a number line to help you create an equation that shows the new location of the whale in relation to the water service.

A. The equation is -60 + (-30) = -90. The whale is 90 feet below the waters surface.
B. The equation is -60 + (-30) = -30. The whale is 30 feet below the water surface.
C. The equation is -60 + 30 = -30. The whale is 30 feet below the water surface.
D. The equation is -60 + 30 = -90. The whale is 90 feet below the water surface.​

Answers

Answer:

C. The equation is -60 + 30 = -30. The whale is 30 feet below the water surface

Step-by-step explanation:

At the surface of the water in the swimming pool, the height of elevation is 0.

Thus, if you swim 60 ft below the surface, it means you are going in the negative direction when we consider a number line. Thus, distance = -60 ft

Now, when you swim back up by 30 ft, it is in the positive direction. Thus, total distance is now; -60 + 30 = -30 ft

Thus value denotes a negative direction and it means you are 30 ft below the surface of the water.

The area of a circle is 144π in². What is the circumference, in inches? Express your answer in terms of π

Answers

Answer:

42.54 inches

Step-by-step explanation:

If a dice is thrown, then choose the correct statement from below.

Answers

Where is the question

The correct statement is one in six chance of rolling a two.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

A dice is thrown.

So, the chances of getting 2 is 1/6

and, the chance of getting odd number is 3/6 or 1/2.

and, the chance of getting six is 1/6.

So, the correct statement is

one in six chance of rolling a two

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A rental car company charges $38.38 per day to rent a car and $0.14 for every mile driven. Camden wants to rent a car, knowing that: He plans to drive 350 miles. He has at most $270 to spend. Which inequality can be used to determine xx, the maximum number of days Camden can afford to rent for while staying within his budget?

Answers

Answer:

5.75 days

Step-by-step explanation:

Given data

let the number of days be x and the number and the number of miles be y

so that the cost of the rental will be

c= 38.38x+ 0.14y---------1

we are told that the amount at hand is $270

hence

270=38.38x+ 0.14*(350)

solve for x

270= 38.38x+49

270-49= 38.38x

221= 38.38x

divide both sides by 38.38

x= 221/38.38

x= 5.75 days

Hence the  number of days is 5.75 days

What is the value of the 5 in 590

Answers

the value of the 5 in 590 is hundred

Answer:

thousands I think you can still double check if you want

What is the measure of the vertex angle

Answers

Answer:

Vertex angle = 124°

Step-by-step explanation:

m<BAC = m<BCA (base angles of isosceles ∆ are congruent)

7x + 1 = 5x + 9

Collect like terms

7x - 5x = -1 + 9

2x = 8

divide both sides by 2

x = 4

Vertex angle = 180 - ((7x + 1) + (5x + 9)) (sum of triangle)

Plug in the value of x

Vertex angle = 180 - ((7*4 + 1) + (5*4 + 9))

Vertex angle = 180 - (29 + 29)

Vertex angle = 124°

HELP MY HOMIE OUT, MY HOMIE NEEDS SERIOUS HELP PLEEEEASE HELP ILL GIVE U A BRAINLIEST

https://brainly.com/question/21476166

Answers

Answer:

okay bro, but I need some time

Answer:

72

Step-by-step explanation:

.75x96=72

Hank, the owner of Hank's Hot Dog Hut, deposited $175 this morning from his late-night sales. This afternoon, he deposited another $280 from lunch sales.
What was the total change in Hank's bank account relative to where it started?

Answers

Answer:

I believe the answer is $455

Answer:

the answer from IXL is $455

Step-by-step explanation:

Please help me with this fast!!!

Answers

I think it would be the second option

definition of militarism alliances imperialism nationalism ​

Answers

Militarism- the belief that a country should maintain a strong military capability and be prepared to use it aggressively to defend or promote national interests.

Alliances- An alliance can be defined as a formal, economic, military or political agreement between two or more nations.

Imperialism- Imperialism, state policy, practice, or advocacy of extending power and dominion, especially by direct territorial acquisition or by gaining political and economic control of other areas.

Nationalism- Nationalism is an idea and movement that promotes the interests of a particular nation (as in a group of people), especially with the aim of gaining and maintaining the nation's sovereignty (self-governance) over its homeland.

Answer:

The war started mainly because of four aspects: Militarism, Alliances, Imperialism and Nationalism. This is because big armies become potential threats to other countries, other countries started forcing alliances in order to secure land. ... The overall cause of World War was the assassination of Archduke Franz Ferdinand.

Step-by-step explanation:

through:(-4, -4), parallel to y= 7/4 x-3 ?

Answers

Answer:

Step-by-step explanation:

y-(-4)= 7/4(x-(-4)

Y+4= 7/4x +4

Y = 7/4x

PLSS HELP i will give 40 points

Answers

The answer is x + 3y - 9. The third option is correct.

[tex]2x + 3y - x - (8 + 1)[/tex]

[tex]2 x - x + 3y -9[/tex]

[tex]x + 3y - 9[/tex]

Part II: Free Response
Xander went on a road trip with some friends. He recorded the following information on their
way to their destination:
• The trip took 2 hours
The car they took gets 28 miles
5 gallons of gas were used
per gallon
The price of gas was $4.00 per
Xander's average speed was 70
gallon
miles per hour
.
.
How far away was their destination? (Show your work.)
Inload

Answers

Answer:

Step-by-step explanation:

whats the area of the triangle 17in and 12 in?

Answers

Answer:

Area of the triangle =(height x base ) /2

A=(17x12)/2

A=102

the area of the triangle is 102

Hello someone help me please

Answers

Answer:

B. -1/3

Step-by-step explanation:

replace x with 34 and solve it.

B is your answer by the w

THIS IS CONFUSINGG HELP

Answers

Answer: B hope that helps
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