Mrs Gren baked a cake on her son's birthday and divided it into 12 pieces.
Serah
ate 1/3 of the cake and her son ate 1/4 of the cake.
2. How many pieces of the cake did Serah eat?
- How many pieces of the cake did her son eat?
What fraction of the cake was eaten?
What fraction of the cake was left?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

it has 2 in the equation

Answer 2
1/3 of the cake = 12/3 = 4 pieces for
Serah

1/4 of the cake = 12/4 = 3 pieces for her son

Fraction of cake eaten, 4 + 3 = 7/12

Fraction left, 12 - 7 = 5/12

Related Questions

112 1/2 as a decimal

Answers

Answer:

[tex] \frac{1}{2} \: as \: a \: decimal = \\ 0.5[/tex]

Step-by-step explanation:

thats the answer

The decimal form, the mixed fraction can be written as 112.5.

To find out mixed fraction in the form of decimal.

What is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given that:

The mixed fraction is a fraction whose nominator is greater than its denominator or improper fraction is a fraction in which the denominator is always less than the numerator.

 112 1/2

= (2 x 112 + 1)/2

= (224 + 1)/2

= 225/2

To divide the 225 by 2 ,we get

=112.5

So,  the decimal form, the mixed fraction can be written as 112.5

Learn more about fraction here:

https://brainly.com/question/24092047

#SPJ2

The following condensed information was reported by Peabody Toys, Inc., for 2021 and 2020: ($ in thousands) 2021 2020 Income statement information Net sales $ 6,900 $ 5,900 Net income 374 158 Balance sheet information Current assets $ 970 $ 920 Property, plant, and equipment (net) 2,630 2,280 Total assets $ 3,600 $ 3,200 Current liabilities $ 1,660 $ 1,310 Long-term liabilities 920 920 Common stock 700 700 Retained earnings 320 270 Liabilities and shareholders’ equity $ 3,600 $ 3,200 Required: Determine the following ratios for 2021: (Round your percentage answers to 1 decimal place.) Determine the amount of dividends paid to shareholders during 2021. (Enter your answers in whole dollars, not in thousands. For example, $150,000 rather than 150.)


1a. Profit margin on sales 5.4 %
1b. Return on assets %
1c. Return on equity %
2. Dividends paid ?

Answers

Answer:

The answers are given below.

Step-by-step explanation:

The computation is shown below:

1.a.

Profit Margin = Net Income ÷ Sales × 100

= $374 ÷ $6,900 ×100

= 5.4%

1-b:

Average Assets = (Beginning Assets + Ending Assets) ÷ 2

= ($3,200 + $3,600)  ÷ 2

= $3,400

Now  

Return on Assets = Net Income ÷ Average Assets

= $374 ÷ $3,400

= 11%

1-c

Average Equity = ($700 + $700 + $320 + $270) ÷ 2

= $995

Now  

Return on Equity = Net Income ÷  Average Equity *100

= $374 ÷ $995

= 37.59%

2:

Dividends Paid = Beginning Retained Earnings + Net Income – Ending Retained Earnings

= $270 + $374 - $320

= $324

(1/2)5 standard form

Answers

Answer:

[tex]\frac{5}{2}[/tex] or 2.5

Hope that this helps!

PLEASE HELP!! Please answer all if you can and show answer clearly thankyou sm if u do

Answers

Answer:

Below:

Step-by-step explanation:

A) 0.15 (0.35 + 0.40 + 0.10 + 0.15 = 1)

B) 0.45

C) 0.40

A) the total probability has to equal 1.

To find the probability of rat subtract the other animals from1:

Rat = 1 - 0.35-0.4-0.1 = 0.15

Rat = 0.15

B) probability of cat or hamster equals the sum of their probabilities:

Cat = 0.35 + hamster = 0.1 = 0.45

Answer = 0.45

C) the probability of them both picking the same = dog x dog = 0.4 x 0.4 = 0.16

Answer = 0.16

tank contains 250 liters of fluid in which 20 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.

Answers

Solution :

Given data :

[tex]c_{in}[/tex] = 1 g/L

[tex]r_{in}[/tex] = 5 L/min

[tex]r_{out}[/tex] = 5 L/min

[tex]$v_0$[/tex] = 250 L

[tex]A_0[/tex] = 20 g

∴ [tex]r_{net} = r_{in}- r_{out}[/tex]

         = 5 - 5

          = 0

[tex]c_{out} = \frac{A}{250} \ g/L[/tex]

Now, [tex]\frac{dA}{dt}=(r_{in} \times c_{in}) - (r_{out} \times c_{out})[/tex]

[tex]$\frac{dA}{dt} = 5-5\left(\frac{A}{250}\right)$[/tex]

[tex]\frac{dA}{dt}+5 \left(\frac{A}{250}\right) = 5[/tex]

[tex]\frac{dA}{dt}+5 \left(\frac{A}{250}\right) = 5 \text{ with} \ A_0 = 20[/tex]

Integrating factor = exp(5 t/250)

Therefore,

[tex]A \times \exp (5t \ /250) = \text{integral of}\ 5 \times \exp (5t / 250) + C[/tex]

Put [tex]A_0=250+C[/tex]

C = -230

[tex]A \times \exp(5t/250) = 250 \exp(5t/250) + (-230)[/tex]

[tex]A(t) = 250-230 \exp(-5t/250)[/tex]

[tex]A(t) = 250-230e^{\left(\frac{-t}{50}\right)} \ g[/tex]

PLEASE HELP ASAP WILL GIVE BRAINLEIST FOR AN ACTUAL ANSWER

Answers

Answer:

<V = 40

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

20x = 60+7x+5

Combine like terms

20x = 7x+65

Subtract 7x from each side

20x -7x = 7x+65-7x

13x = 65

Divide each side by 13

13x/13 = 65/13

x = 5

<v = 7x+5 = 7*5+5 = 35+5 = 40

answer:

it's U = 60°

V = 50°

T = 70°

Help please asp. !!!

Answers

Answer:

12.86 cm³ of water is saved

Step-by-step explanation:

✔️Since width of new ice ball must be the same as the length of original cube, therefore, diameter of the ice ball = 3 cm

Radius of ice ball = ½(3) = 1.5 cm

Volume of the new sphere ice ball = ⁴/3πr³

Substitute

Volume of new sphere ice ball = ⁴/3 × π × 1.5³ = 14.14 cm³

✔️To find out how much water would be saved using the new sphere ice ball, let's find the volume of the cube then find the difference of both.

Volume of original ice cube with length 3 cm:

Volume of cube = s³

s = 3 cm

Volume of cube = 3³ = 27 cm³

Volume of water saved = 27 cm³ - 14.14 cm³

= 12.86 cm³

Pablo randomly picks three marbles from a bag of nine marbles (four red ones, three green ones, and two yellow ones).a). How many outcomes are there in the sample space outcomesb). How many outcomes in the event that none of the marbles he picks are red? outcomes

Answers

Answer:

not sure

Step-by-step explanation:

42.
A toy store's percent of markup is 45%. A model train costs the store $100. Find the markaup.
(First gets brainliest)

Answers

Answer:

$68.97

Step-by-step explanation:

The equation you have to use is I=p(1.45)

If you have a 45% increase to 100, the original price was $68.97.

Given that ABCD is a rectangle, find the total area of the figure below. Round your answer to the nearest tenth.
Options
18 ft²

20.25 ft²

21.5 ft²

22.5 ft²

Answers

Answer:

C

Step-by-step explanation:

de acuerdo a la sucesion 11,18,25,32... encuentra el término que se ubica en la posición 50​

Answers

Answer:

354.

Step-by-step explanation:

De acuerdo a la sucesión 11,18,25,32..., para encontrar el término que se ubica en la posición 50​ se debe realizar el siguiente razonamiento lógico-matemático:

32 - 25 = 7

25 - 18 = 7

18 - 11 = 7

Así, los números van subiendo de 7 en 7. Por lo tanto, para determinar el número que se ubica en la posición 50 debe realizarse el siguiente cálculo:

(7 x 49) + 11 = X

343 + 11 = X

354 = X

Por lo tanto, el término que se ubica en la posición 50 es 354.

Which expression is modeled by this arrangement of tiles? 1-1-1-1-1-1 ---- K V ----1-1-1-12 ET -1-1-1-1 1 183 -2-2​

Answers

Answer:

b is correct (-16 by 2)

Step-by-step explanation:

6,12,24,48 Find the 11'th term

Answers

Answer:

614

Step-by-step explanation:

This pattern is being multiplied by 2

keep multiplying by two till you get to the 11th term

6, 12, 24, 48, 96, 192, 384, 768, 1536, 3072, 6144

6144 is the 11th term.

Solve the system of equations Y=-2x+5 and y=x^2+3x+9

Answers

I think

x= -4, -1 and y=13, 8

(-4, 13) and (-1, 8)

What is the value of f(6) in the function below?
fx) = 2x

Answers

Answer:

substitute that (6) in X so f(6) = 2(6) which is = 12

a cylinder water tank carries a volume of 150L when it is full. The water tank has a base surface with a diameter of 140 cm. what is the height of the water tank?​

Answers

Answer:

9.74418019cm=h

~ 9.7442

Step-by-step explanation:

volume of a cylinder=πr²h

radius=½of diameter

=½×140cm

=70cm

1l=1000cm³

150l=150l/1l×1000cm³

=150000cm³

150000cm³=π(70cm)²×h

150000cm³=15393.8040cm²h

150000cm³/15393.8040cm²=15393.8040cm²h/15393.8040cm²

150000cm³/15393.8040cm²=h

9.74418019cm=h

Translate and solve: 639 is what percent of 142?

Answers

Answer:

450

Step-by-step explanation:

639/142= 4.5 times 100

fill in the missing digits pls asap

Answers

Answer:

3 8

× 2 7

______

2 6 6

+ 7 6

_______

1 0 2 6

Answer:

     38

x    27

   266

+  76_

 1026

Identify the cavity that develops entirely from the mesoderm.

Answers

The answer is “coelom”

Explanation:

The coelom is defined as a main body cavity that is developed entirely from the mesoderm.

I'm Stuck and need help please). The table shows the test scores and the sleep averages of several students. A) Write the least squares regression equation that models the data. Let x = the test score and y = average sleep. B) Use the equation to determine the approximate test score of a student who sleeps an average of 8 hours a night. Show Your Work. ( Will Mark Brainliest but no Links or nonsense answers please). Answer A and Answer B.​

Answers

Answer:

a

you should take values of x and y that are similar or they are close to each other like 8 is close to 8.5

b

u will take the average of all the scores with 8hr sleep

(8,9); x+3y=2 in y=mx+b form

Answers

Answer:

use photo math. it will help

Solve the linear equations
1/4(x-5)+4=1/3(2x+7)-5/6

Answers

Answer:

x = 3

Step-by-step explanation:

Given the linear equation :

1/4(x-5)+4=1/3(2x+7)-5/6

(x-5)/4 + 4 = (2x+7)/3 - 5/6

Take the lcm and sum

(x-5+16)/4 = (4x+14-5)/6

(x+11)/4 = (4x+9)/6

Cross multiply

6(x+11) = 4(4x+9)

6x + 66 = 16x + 36

Collect like terms

6x - 16x = 36 - 66

-10x = - 30

x = 30/10

x = 3

What is the area of the triangle centimeters squared 23 CM 16 CM 14 CM

Answers

Answer:

Step-by-step explanation:

82

Answer:

Step-by-step explanation:

.5(half) x 14(base) x 16(height)=112cm

How long is 20 yards?

A. 600 in.
B. 720 in.
C. 840 in.
D. 900 in.

Answers

Answer:

B) 720 in

Step-by-step explanation:

1 yard is equal to 36 inches.

So, we just have to multiply 20 by 36:

20 × 36 = 720

20 yards is 720 inches.

The answer is B. 720 in.

The sum of two numbers in 106 and the greater exceeds the lesser in 8. Find the numbers.

Answers

Step-by-step explanation:

51 and 51

maybe

hope it help u

3. Simplify, 27+3]{14-3(15-5) -53-51-19​

Answers

Answer:

-4170

Step-by-step explanation:

Given:

[27+3]{14-3(15-5) -53-51-19​}

30{14-3(10)-123}

30{14-30-123}

30*(-139)

-4170

Answer is -4170

us matrix method to solve the
3y+2x=13
2y+3x=0​

Answers

Answer:

13

Step-by-step explanation:

3y+2x=13

2y+3x=0

∴3y+2x+2y+3x=13+0

∴3y+2y+2x+3x=13

∴5y+5x=13

Hope this helps you mate!

Pls mark as Brainliest

Answer:

the above ans is true

Step-by-step explanation:

uu can do it

The ratio of winners to losers was 7 to 5. If the total number of winners and losers was 1260, how many more winners were there than losers?​

Answers

Answer:

210

Step-by-step explanation:

7:5

First add the ratios

7+5=12

Put each ratio over the denominator 12 then multiply each by the total

7/12×1260= 735

5/12 × 1260 = 525

To find how many more winners than losers

735-525= 210

Help me out thank u

Answers

9514 1404 393

Answer:

  (a)  145

Step-by-step explanation:

The measure of the angle marked x° is half the sum of the intercepted arcs:

  (90° +200°)/2 = x° = 145°

Help pleaseeeee will give brainliest

Answers

Answer:

q.12

angle ACB=180-123

therefore ACB=57

again 5x-15+7x+6+57=180

or,12x+48=180

or,x=132/12

or x=11

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