Luke, Kira, and Ali each served 23 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? Enter your answers in the boxes to complete the solution

Answers

Answer 1

Complete Question:

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? Enter your answers in the boxes to complete the solution.

A. Luke cut his cake into how many slices?

B. Kira cut her cake into how many slices?

C. Ali cut her cake into how many slices.

Answer:

A. 6 slices.

B. 9 slices.

C. 12 slices.

Step-by-step explanation:

Given the following data;

Number served by Luke = 4 slices

Number served by Kira = 6 slices

Number served by Ali = 8 slices

We would solve for the number of slices each of them divided their cakes into.

For Luke, serving 2/3;

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

[tex] \frac {4}{\frac{2}{3}} = \frac {12}{2} [/tex]

[tex] \frac {4}{\frac{2}{3}} = 6 \; slices [/tex]

For Kira, serving 2/3;

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

[tex] \frac {6}{\frac{2}{3}} = \frac {18}{2} [/tex]

[tex] \frac {6}{\frac{2}{3}} = 9 \; slices [/tex]

For Ali, serving 2/3;

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

[tex] \frac {8}{\frac{2}{3}} = \frac {24}{2} [/tex]

[tex] \frac {8}{\frac{2}{3}} = 12 \; slices [/tex]

Therefore, it is possible because;

A. Luke cut his cake into 6 slices.

B. Kira cut her cake into 9 slices.

C. Ali cut her cake into 12 slices.


Related Questions

PLEASE ANSWER I WILL GIVE YOU BRAINIEST IF CORRECT!!!!!!!
thanks!

Answers

Answer:

700 is your answer

Step-by-step explanation:

ok so 5x120=600 +100=700 so 700 is your answer

Kane is training for a Marathon. He starts by eunning 2 miles during every yriang sessiom. Each week plans to increase the distance of his run 1/4 mile

Answers

Question:

Write and expression to show the distance Kane runs in a training session after w weeks

Answer:

[tex]d = 2 + \frac{1}{4}w[/tex]

Step-by-step explanation:

Given

[tex]Initial = 2\ miles[/tex]

[tex]Rate= \frac{1}{4}[/tex]

Required

Write an expression

Let the distance covered in w weeks be d.

The expression for d is derived by:

[tex]d = Initial + Rate * w[/tex]

Substitute values for Initial and Rate

[tex]d = 2 + \frac{1}{4}* w[/tex]

[tex]d = 2 + \frac{1}{4}w[/tex]

helpppppppppppppppppppppppppppp

Answers

Answer: i know p4 but what does the first q say?

Step-by-step explanation:

Answer:

2nd one

Step-by-step explanation:

Can someone help me please, ill give brainy

Answers

Answer:

x = -6

Step-by-step explanation:

The value of x never changes, no matter what the value of y is, so x = -6 describes every point on the line.

How do I solve this problem? Please show me!

Answers

9514 1404 393

Answer:

   arc AB = 12.4 cm

Step-by-step explanation:

The length of arc AB is 1/4 of the circumference of the circle, so is ...

  AB = (1/4)(2πr)

  = (π/2)r = (3.14/2)(7.9 cm) = 12.403 cm

Rounded to the nearest tenth, arc AB = 12.4 cm.

The formula for the perimeter (P) of a rectangle is
P= 21 + 2w, where / represents the length and w represents
the width. What is the perimeter ofa rectangle that has a length of 68 centimeters and a width of 19 centimeters?​

Answers

Answer:

174

Step-by-step explanation:

L = 68

W=19

Use the formula given:

2 x 68 + 2 x 19 = 174

A physical therapy student is adding up the cost of books for the first three semesters of school. The first semester he spent $400, the second semester he spent $515, and the third semester he spent $620. What on average has he spent on books per year?

Answers

Answer:

Im not sure but i think 1535

Step-by-step explanation:


Sarah bought a car for $3500 and later sold it for
a 30% profit. How much profit did Sarah make in
the car?

Answers

Answer: 10

Step-by-step explanation:

budda dawg

Question 5
1 pts
5) If a person runs 1/3 mile in 1/9 of an hour, what is
the unit rate per hour?
A. 1/9 mi/hr
B. 1/3 mi/hr
C. 3 mi/hr
D. 9 mi/hr

Answers

BBBBBBBBBBBBBBBBBBBBBBBB

help pls i have 3 tests to do and this is due today

Answers

Answer:

The sum of any triangle is 180 degrees.

Step-by-step explanation:

Answer:

a = 60

b = 60

c = 60

d = 42

e=35

f=35

g=55

h=45

i=45

j=15

k=15

l=75

m=120

n=21

o=69

p=21

q=55

r=55

s=42

t=42

u=69

Step-by-step explanation:

A map has the scale 2 inches equals 190 miles. The distance from Springfield to Glenview is 14 inches. How many actual miles separate Springfield from Glenview?
A.
140
B.
2,800
C.
1,330
D.
38

Answers

Answer:

It would be C because

Step-by-step explanation:

2= 190

So what i did was i divide 190 to 2 and i got 95

and to the 14 I multiply it o 95 and i got 1,330

How i got 1,330 is that i read the question and looked at the answers which is a bigger number. So i thought it ain't adding or subtracting. So i decided to do dividing 190/2= 95 then i multiplied 14 to 95

write in slope intercept form an equation of the line
(1, 2); m = -2

Answers

Y = 2
X = 1
M = -2
B = ?
y=mx+b
2=-2(1)+b
2= -2 + b
+2 +2
4 = b
Therefore the equation is
y = -2x + 4

3 1
(3.0 x 10 ) (5.0 x 10 ) = ?

Answers

Answer:

1500

Step-by-step explanation:

Parenthesis first, 3x10 is 30 5x10 is 50, 50x30 is 1500

Three vertices of quadrilateral ABCD are A(-4,3), B(-1,5), and D(4,-1), as shown below.

In order for ABCD to be a parallelogram, what must be the coordinates of point C?

A. (-1, -7)
B. (1.5, 2)
C. (2, -4)
D. (7, 1)

Answers

Answer:

my answer is letter c thats may answer

Alex paid $6 for renting a movie for 3 days. Which graph shows the relationship between the cost of renting the movie for different days

Answers

You need to show the graph. But it would show that on 0 days it costs 0 dollars.So on day One two and three it should be $6.

Answer:The graph will show that on 0 days it costs 0 dollars. On day 1,2, and 3 it will be $6

Step-by-step explanation:I hope this helps! Have a great day

Solve for x.
3(x - 4) = 2x + 6
ΟΑ. Ο
B. 2
C. 3.6
D. 10
E. 18

Answers

Answer:

the answer is D. 10

Step-by-step explanation:

you get 3x -4 = 2x +6

you then subtract 2x from 3x and 2x

you get 1x - 4= 6

add 4 to both sides and you get

1x = 10 which is the same as x = 10

Answer:

x = 18

Step-by-step explanation:

3(x-4) = 2x+6

3x-12 = 2x +6

Add 12 to the -12 and the 6, giving you...

3x = 2x + 18

subtract 2 from the 3 and the 2, giving you...

1x = 18

divide the 1 and the 18 by 1, giving you...

x = 18

I hope this helps you out!

PEDRO QUIERE SABER CUÁNTO PAPEL DE REGALO TENDRÍA QUE USAR PARA PODER FORRAR UNA CAJA CUADRADA DE 30 cm POR LADO.

Answers

I don’t speak Spanish I want to help you but I can’t sorry

The product of two positive consecutive integers is 12. Find the
integers. *

Answers

Answer:

3, 4

Step-by-step explanation:

The choices for the consecutive integers are: 6, 7,  4, 5 or 3, 4

Test the products of these integers.

6 x 7 = 42

4 x 5 = 20

3 x 4 = 12

The only pair of consecutive integers with 12 as their products is 3 and 4.

1. Write a system of equations to describe the situation. Then solve the system. Be sure to define your variables! Rizzo has $1.50 less in his piggy bank than his sister Shonda. If Shonda had $9 more, she would have three times as much money as Rizzo. How much money do each of the children have in their banks?

Answers

Answer:

The amount Rizzo has = x = $5.25

The amount Shonda has = y = $6.75

Step-by-step explanation:

Let us represent:

The amount Rizzo has = x

The amount Shonda has = y

Rizzo has $1.50 less in his piggy bank than his sister Shonda.

x = y - 1.50.......Equation 1

If Shonda had $9 more, she would have three times as much money as Rizzo.

y + 9 = 3(x)

y + 9 = 3x..... Equation 2

y = 3x - 9

We substitute 3x - 9 for y in Equation 1

x = y - 1.50.......Equation 1

x = 3x - 9 - 1.50

9 + 1.50 = 3x - x

10.50 = 2x

x = 10.50/2

x = $5.25

Solving for y

y = 3x - 9

y = 3(5.25) - 9

y = $6.75

Therefore:

The amount Rizzo has = x = $5.25

The amount Shonda has = y = $6.75

HELPPPPPPPPPPPPPPPPPPPPPPP
The temperature at 7:00 a.m. was –9°F. By 4:00 p.m., the temperature had risen 10 degrees. What was the temperature at 4:00 p.m.?
Group of answer choices

-19

19

-1

1

Answers

Answer:

1

Step-by-step explanation:

-9+10=1

Answer:

1

Step-by-step explanation:

PLEASE HELP!! WILL GIVE BRAINLEST ANSWERS

Answers

Answer:

4th one

Step-by-step explanation:

it is the 4th one

2 dot plots. The highlands have a mean rainfall of 15.27 millimeters, and the Lowlands have a mean rainfall of 12.05 millimeters.
Analyze the dot plots. What is the approximate difference between the means of the two data sets to the nearest whole number?

Answers

Answer:

it's 3mm

I hope this helped

Answer:

the answer is 3mm

Step-by-step explanation:

i did the answer and got it correct

Explain please I’m stuck

Answers

FYI - the length of the mid-segment of a trapezoid is equal to half the sum of the lengths of its bases.

the equation:

18 + 6x - 12 = 2(2x + 10)

18 + 6x - 12 = 4x + 20

6 + 6x = 4x + 20

6x = 4x + 14

2x = 14

x = 7

Find the next two numbers in the number pattern.
6, 12, 9, 18, 15,

Answers

Answer:

30

Step-by-step explanation:

Starting number is 6, doubled, then returned to original number and added 3, then 6, then so on. Next set of numbers would be:

30, 24, 48, 38...

Solve For X

please help, thank you :}

Answers

Answer:

4

Step-by-step explanation:

Answer is 4
X = 4
Hdjdjdkso

Simplify √(112x^2y). Please help!!​

Answers

Answer:

4x.sqrt(7y)

Step-by-step explanation:

Answer:

4x^y(square root) 7

Step-by-step explanation:

Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership with the first gym after x months and spends the rest of the year, y months, with the second gym. The membership to the first gym costs $85 per month, while the membership for the second gym costs $50 per month. If she ended up spending a total of $705 over the course of the year, how much time did she spend at each gym?

Answers

Answer:

Jan spent 3 months at the first gym and 9 months at the second gym.

Step-by-step explanation:

Given that:

1 year = 12 months

x = months at gym one

y = months at other gym

According to given statement;

x+y=12      Eqn 1

85x+50y=705     Eqn 2

Multiplying Eqn 1 by 50

50(x+y=12)

50x+50y=600     Eqn 3

Subtracting Eqn 3 from Eqn 2

(85x+50y)-(50x+50y)=705-600

85x+50y-50x-50y=105

35x=105

Dividing both sides by 35

[tex]\frac{35x}{35}=\frac{105}{35}\\x=3[/tex]

Putting x=3 in Eqn 1

3+y=12

y=12-3

y=9

Hence,

Jan spent 3 months at the first gym and 9 months at the second gym.

Samantha says the fraction of the group of customers who ordered raspberry topping is 1/2. Explain why samantha is correct.

Answers

Answer and explanation:

Yes Samantha is correct. Samantha is correct because a fraction 1/2 of customers who ordered raspberry toppings refers to half of the total number of customers. A fraction 1/2 is 50 percent or 50/100 of the population of customers, therefore meaning that 50% or half of the total number of group of customers ordered raspberry toppings

Can someone please help me with this question?

Answers

Answer:

Pretty sure added to

Step-by-step explanation:

The reason why it is added to because the plus sign adds stuff and it doesn't subtract, multiply, or divide.

Hope this helped!! :)

Brainliest?!?!

Explain whether each is a linear equation

y = 1 - x

Answers

Answer:

In a linear equation in x and y, x is called x is the independent variable and y depends on it. We call y the dependent variable. If the variables have other names, yet do have a dependent relationship, the independent variable is plotted along the horizontal axis

:)

Answer:

This should be considered a linear substitution because you can substitute this equation into y in another linear equation to find the answer or the solution to the linear equation

Step-by-step explanation:

Other Questions
There are 27 cupcakes. Nine are chocolate, 7 arevanilla and the rest are strawberry. What is theratio of total cupcakes to vanilla cupcakes? Which of the following is the name of this figure?trapezoidparallelogramrectanglerhombus what the answer for this please make 300 words if u can i will make brinlist please help Students mixed 20 mL of white glue and 20 mL of water in a cup. They added three drops of food coloring to the mixture. Then, 15 mL of borax solution was stirred into the mixture. Once mixed, the students observed they could take the substance out of the cup and roll it around in their hands. They concluded that Is a cation positively or negatively charged? Scientists have changed the model of the atom as they have gathered new evidence. One of the atomic models is shown below. A purple center outlined in black with two concentric black circles around the center, the inner circle having 2 small green balls on it and the outer circle having 8 small green balls on it. What experimental evidence led scientists to change from the previous model to this one? 1st questionA factory makes 12 bikes in 3 hours. If it keeps making bikes at the same rate, how many bikes will it have made in 8 hours? (HINT: Set up a proportion)16 bikes24 bikes32 bikes2nd question A recipe calls for 3 sticks of butter for one batch of 20 cookies. How many sticks of butter would you need to cook 100 cookies? (HINT: Set up a proportion)9 sticks of butter15 sticks of butter100 sticks of butter Which best describes how energy transferred from an electron in the solar wind compares with energy absorbed by an electron in the oxygen atom?equal toless thanNo energy is transferred.greater than Evauluate the expression 6^2 + x -x^2 for x = 3 excerpt from Telling All Americans' Stories: Introduction to American Latino Heritageby National Park ServiceThe movement of people, ideas, beliefs, and cultures across America's shifting borders and the consequences of these migrations are central to theAmerican story. Diego Rivera-a prominent leader of the 1920s Mexican Mural Movement-produced some of his most famous work in Americancities. As an outspoken member of the Mexican Communist Party, Rivera invited criticism during his travels, but even his most controversial worksresonated with American audiences during the Great Depression. His Detroit Industry Murals a National Historic Landmark-celebrated Americanindustry and Detroit's factory workers' strength and dignityLatino/a Americans have been some of the most vocal and successful advocates for civil rights in the United States. During the 1960s, labor activistsDolores Huerta and Cesar Chavez formed the United Farm Workers of America, a joint Latino/a and Filipino organization that created the firstpermanent agricultural labor union in the United States. Along with the efforts of Filipino activists like Larry Itlong the UFW establishedheadquarters at Forty Acres in Delano. California's farm workers successfully executed the Delano grape strike and boycott, which drew nationalattention to unsafe working conditions and resulted in a 1970 settlement with California's entire table grape industry.1Select the correct answer from the drop-down menu.Read the excerpt. Then choose the correct way to complete the sentence.The author develops the idea that Latino/a Americans have actively worked toward civil rights in the United States by includingNexta description of the Mexican Mural Movementseveral examples of people and organizations fighting for civil rightsseveral problems related to the issue of civil rightsstimeline of al events that led up to the civil rights movement Guide Questions:1. What symbolisms are used in this picture?2. What is the message of this picture?3. Do you agree with the message? Why or why not? A 0.049 kg bullet moving at 421 m/s strikes a stationary 4.7 kg wooden block. The bullet passes through the block and leaves with a velocity of 301 m/s. If the block was originally at rest, how fast does it move after being hit by the bullet? ANSWER ASAP Determine the number of moles in each of the following:45.2 g Ag67.1 g Cr53.9 g MnDetermine the number of grams in each of the following:1.56 mol K2.5 mol Ba110 mol HeDetermine the mass in grams of each of the following:5.04 x 1024 atoms N2.01 x 1024 atoms Ca8.32 x 1021 atoms SnDetermine the number of particles contained in each of the following:50.3 g Cu145g Si0.67 g Cl Please help me!! I really need a grade boost!! Of the pizzas recently sold at Pizza Pies, 6 had pepperoni and 26 did not. Considering this data, how many of the next 16 pizzas sold would you expect to have pepperoni? Draw a Lewis structure for H3O+ . Include all hydrogen atoms and show all unshared electrons and the formal charges, if any. Assume that bonding follows the octet rule. My question is below this:)))) have a great dayyyy. Je m'appelle Julien. Mes (1) sont divorcs. J'habite avec ma (2) et ma (3) . Nous partageons une maison avec le (4) de ma (5) mere. Mon (6) et ma (7) ont trois (8) . Mon (9) s'appelle Simon et mes (10) s'appellent Coralie et Sixtine. Mon (11) est mari et ma (12) s'appelle Sabine. J'ai un (13) Thophile. How does the government helps the community you live in? Expound your point by citing examples. After the game we ran a mile swam a half-mile and biked five miles.