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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.

Answer:

ons are in the crayon box.If there are 4 rows of 19 crayons,

Step-by-step explanation:

Answer: dp

Step-by-step explanation:

Answer:

Step-by-step explanation:

>means the unit rate once of icing for cake

=40 4/5 ounces

Answer:

1 freedom of speech

2 bear arms mean that i can own and carry a gun to protect me, myself and my property.

3 search warent

4 the tar and feather used on blacks.

5 fouth

6 it is passed down to mayors

7 i think that the most important amendment is the first because it allows us say what we like without getting punished by it.

sorry bout my bad grammer

Step-by-step explanation:

Answer:

Possible answers could be that you have 400 adults and no children, or you could have 100 children and 340 adults.

Given:

The data values are 45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42.

To find:

The interquartile range of these test results.

Solution:

We have, the set of data values.

45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42

Arrange the data in ascending order.

35, 37, 38, 39, 41, 42, 43, 44, 45, 47, 47

Divide the data in two equal parts.

(35, 37, 38, 39, 41), 42, (43, 44, 45, 47, 47)

Divide each parenthesis in two equal parts.

(35, 37), 38, (39, 41), 42, (43, 44), 45, (47, 47)

Here,

First quartile: [tex]Q_1=38[/tex]

Third quartile: [tex]Q_3=45[/tex]

Now, the interquartile range is

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=45-38[/tex]

[tex]IQR=7[/tex]

Therefore, the interquartile range of these test results is 7.

Answer:

20 oatmeal cookies

Step-by-step explanation:

4/5 of 25 is 20

If you are working on proportions, you can do 4/5=x/25

Answer:

24

Step-by-step explanation:

30 cookies, 4/5 are oatmeal

Multiply fractions straight across the equation, numerator times numerator and denominator times denominator.

30/1 x 4/5 = 120/5

Reduce 120/5 by dividing denominator and numerator by 5

120 / 5 = 24/1 = 24 cookies were oatmeal.

OR

30/5 = 6 = 1/5 of 30

4 x 6 = 24 cookies were oatmeal

Hardly worth heating the oven and getting all the pans dirty for such a small batch

Answer: B

Step-by-step explanation:

The second power basically means that you multiply the number by itself that many times depending on the power, and since it's 50^2, the answer is Caleb - 100 | Jenna - 2,500. (Tip: Just multiply 50 x 50)

Answer:

5x+18

Step-by-step explanation:

Are u dividing ? or no?... or adding more details plzz

Answer:12

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Distribute the 5

5(y+3)=

5y+3*5=

5y+15=5y+_____

to make these equal _____= 15

Answer:

2

Step-by-step explanation:

8:400*100 =

(8*100):400 =

800:400 = 2

The solution of the equation that 8 is what percent of 400 is  2, i.e. 8 is 2  percent of 400.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The equation of percentage can be calculated as:

Consider, the unknown variable as x,

According to the given data in the question,

[tex]8 = \dfrac{x}{100} \times 400[/tex]

The equation can be simplified as:

8 = 4x

Divide both side by 4 to get the value of x,

x = 2

The solution of the equation that 8 is 2  percent of 400.

Learn more about equations here :

https://brainly.com/question/14686792

#SPJ6

Answer:

x = 23

Step-by-step explanation:

(8x - 27) and (7x - 4) are corresponding angles and are congruent, so

8x - 27 = 7x - 4 ( subtract 7x from both sides )

x - 27 = - 4 ( add 27 to both sides )

x = 23

Answer:

x = 23

Step-by-step explanation:

Answer:

(3, -5)!

Hope this helps! :D

Answer:

B

Step-by-step explanation:

Answer:

x=1,y=3

Step-by-step explanation:

e.g y= 3

3=2x+1

3-1=2x

2/2=x

1=x

Answer:

x<8

Step-by-step explanation:

i don't think the question was complete, i cannot make an inequality with just the information given.

Answer:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ slope = \frac{13 - 5}{4 - 2} \\ = \frac{8}{2} = 4[/tex]

Answer:

6

Step-by-step explanation:

Make an equation Set x as number of hour

19+9x=73

9x=54

x=6

Step-by-step explanation:

73-19 flat fee=54

54÷9=6 hrs

Answer:

Substitute x into the first equation.

Step-by-step explanation:

4(15-4y) - 5y = -2

The variable x is already by itself on one side of the equation. Therefore, x = 15 - 4y which means we can substitute 15 - 4y into the first equation.

Answer:

4(15-4y) - 5y = -2

Step-by-step explanation:

4x - 5y = -2

x = 15 - 4y:

Substitute x = 15 - 4y into the first equation:

4(15-4y) - 5y = -2

Answer:

70

Step-by-step explanation:

100 shots is ten times the amount she took first

so we do 7 × 10 =70

Answer:

the answer is b

Step-by-step explanation:

Answer:

Option D: 8cm and 9cm. Is your answer.

Answer:

8 cm and 9 cm

Step-by-step explanation:

the two shorter sides must equal more than the longest side.

Answer:

Gabrielle, because she gets 16.2 miles per gallon, where as Jerimiah only gets 15 miles per gallon.

Step-by-step explanation: