Leroy and his friends ate some birthday cake at his party. After the party 1/4
of the cake was left. Leroy's brother ate 2/3 of the left-over cake. How much
of the whole cake did his brother eat?

A: 1/6
B: 2/3
C: 5/6
D: 1/5

Answers

Answer 1
A is the correct answer:
1/4 • 2/3 = 2/12 = 1/6
Answer 2

This question is an illustration of multiplication of fractions. The amount of eaten by Leroy's brother is [tex]\frac 16[/tex]

Given that:

[tex]L = \frac 14[/tex] ----- The left over

[tex]F = \frac 23[/tex]  ----- The fraction eaten by Leroy's brother

The fraction of the whole cake (B) eaten by Leroy's brother is:

[tex]B = L \times F[/tex]

So, we have:

[tex]B = \frac 14 \times \frac 23[/tex]

Cancel out common terns

[tex]B = \frac 12 \times \frac 13[/tex]

[tex]B = \frac 16[/tex]

Hence, Leroy's brother ate [tex]\frac 16[/tex] of the whole cake

Learn more about multiplication of fractions at:

https://brainly.com/question/1928793


Related Questions

Find the area of the composite figure. Round your final answer to the tenth.

Answers

Answer:

181.5 in^2 to the nearest tenth.

Step-by-step explanation:

This consists of a rectangle and a triangle.

Area of the rectangle = 10 * 17  = 170 in^2

Area of the triangle:

The base  = 17-13 = 4 in.

The height ( that is the vertical line below the rectangle) can be found using Pythagoras:

H = √(7^2 - 4^2) = √33

Area of the triangle = 1/2 * 4 * √33 = 11.489 in^2

Area of the whole figure = 170 + 11.489 = 181.489 in^2,

3). Find the area of a circle with a radius of
3 ft.

Answers

Answer:

Step-by-step explanation:

1.5

Answer:

A=πr2=π·32≈28.27433ft²

Step-by-step explanation:

What is 58 x 564 please tell me

Answers

Answer:

that is the answer 32,712

Step-by-step explanation:

your welcome.

sorry I times it by 54 instead of 58

the answer is 32,712

At a garage sale, Samuel purchased used books and DVDs. He bought a total of 18 items and spent $11. Each book cost $0.50 and each DVD cost $0.75. How many books did Samuel purchase?

Answers

Answer: 10 books

Step-by-step explanation:

Let the number of books bought be represented by x.

Let the number of dvds bought be represented by y.

The information given in the question can be formed into an equation as:

x + y = 18 ........ i

0.50x + 0.75y = 11 ....... ii

Multiply equation i by 0.75

Multiply equation ii by 1

0.75x + 0.75y = 13.50 ........ iii

0.50x + 0.75y = 11 ........ iv

Subtract iv from iii

0.25x = 2.50

x = 2.50/0.25

x = 10

Samuel bought 10 books

Last year at a certain high school, there were 110 boys on
the honor roll and 75 girls on the honor roll. This year, the
number of boys on the honor roll decreased by 20% and the
number of girls on the honor roll decreased by 4%. By what
percentage did the total number of students on the honor
roll decrease? Round your answer to the nearest tenth (if
necessary).

Answers

.86486486 percent but round it

Answer:

13.5 if you round it

Step-by-step explanation:

Find the new amount of people who got the honor role and subtract that from the total. 185-160=25....which is 13.5% of 1185

can someone help me this is a life or death question

Answers

Answer:

3 is vertical angles

1 is same side interior

2 is corresponding angles

4 is straight angles

Step-by-step explanation:

What is a Proportional Relationship?
1. One apple costs 25¢. Determine each cost.
a) 2 apples
b) 3 apples
c) 4 apples
d) 6 apples
e) 9 apples
f) 12 apples

Answers

A two apples or $.25 each

BRAINLIEST-
Find the volume of the figure

Answers

Answer:

4080cm²

Step-by-step explanation:

I dont know if i did this right i wanted to know if someone could check for me

Answers

Answer:

I think 5 is wrong but 1 and 4 are right

I think the answer would be 5 and the reason why is because

If x=12 and y=6x , what is the value of 8x2y ?

Answers

Answer:

13824 is the answer

Step-by-step explanation:

8*12*2*6*12

sub in the numbers
8(12)2(6x)
=192(6x)
=1152x

ASAP HELP... I DONT UNDERSTAND.......

Answers

Answer:

8 is answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex]8^2[/tex] is also [tex]8*8[/tex]

[tex]8*8[/tex] is 64

Hope I helped

Can someone help me please

Answers

I think it might be D

Please do this equation-Solve 4w+6=38

Answers

Answer:

w = 8

Step-by-step explanation:

4w+6=38

subtract 6 from each side of the equation:

4w = 32

divide both sides by 4:

w = 8

Answer:

4w+6=38

4w=38-6

4w=32

w=32/4

w=8

Please help with these two (I will report you if you try to give me a link to a virus)

Answers

1- false a positive is greater than a negative so clearly there could be positive answers to the inequality. 2-true since the numbers and sign flipped it would still be the same

Answer:

1 answer will be false and second answer will be true

identify the vertex of the graph

Answers

Answer:

(-1,-3)

Step-by-step explanation:

Answer:

y = a(x – h)2 + k,

Step-by-step explanation:

Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k). This makes sense, if you think about it.

there are 12 girls in Chloe's first grade class. The ration of girls to boys is 6:5. How many boys are in Chloe's class?

Answers

There are 10 boys in Chloe’s class. Since the ratio is 6:5 and there are 12 girls and 12/2 is 2 then you multiply 5 by 2 to get 10.

Help me please!!! I’ll mark brainliest!!

Answers

Answer:

all the answers are c on that test my teacher did that same exact test

Step-by-step explanation:

mark brainliest!

Resuelva y responda a la pregunta: Andrés es mayor que su hermano Alex. Dentro de 3 años, la edad de Alex será la edad que tiene ahora Andrés y, dentro 9 años, la edad de Andrés será el doble de la edad que Alex tiene ahora. ¿Qué edades tienen los hermanos?

Answers

Answer:

Andrés tiene 15 años y Alex tiene 12 años.

Step-by-step explanation:

Como el enunciado dice que dentro de 3 años, la edad de Alex será la edad que tiene ahora Andrés puedes escribir una ecuación que indique que la edad de Andrés es igual a la edad de Alex más 3:

x=y+3, donde:

x es la edad de Andrés

y es la edad de Alex

Además, como se indica que dentro 9 años, la edad de Andrés será el doble de la edad que Alex tiene ahora puedes escribir una ecuación que indique que la edad de Andrés más 9 es igual a dos veces la edad de Alex:

x+9=2y

Ahora puedes reemplazar x=y+3 en x+9=2y y despejar y:

y+3+9=2y

12=2y-y

y=12

Finalmente, puedes reemplazar el valor de y en x=y+3 para encontrar el valor de x:

x=y+3

x=12+3

x=15

De acuerdo a esto, la respuesta es que Andrés tiene 15 años y Alex tiene 12 años.

What is an equation of the line that passes through the points (0, 3) and (5, -3)?

Answers

Answer:

y = -6/5x + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 3/ 5 - 0

= -6/5

To find the y-intercept, you need to plug the coordinates into the equation,

y = -6/5x + b

3 = -6/5(0) + b

3 = 0 + b

b = 3

The equation is y = -6/5x + 3

Can anyone help me plss

Answers

Answer:

0.7 km per minute , -0.17 km per minute

Step-by-step explanation:

The computation of the average speed is shown below

As we know that

Average speed = Total distance ÷ total time

= (4 + 2 + 1) ÷ (32 + 22 + 16)

= 0.7 km per minute

Now the velocity is

= Change in displacement ÷ change in time

= (4 - 2 - 1) ÷ (32 -22 -16)

= 1 ÷ -6

= - 0.17km per minute

A bill of $424 was paid with $5 bills and $2 bills. A total of 128 bills were used. How
many of them were fives?

Answers

Answer: 56

Step-by-step explanation:

Let the number of $5 be x

Let the number of $2 be y.

Based on the information given, we can form an equation as:

x + y = 128 ........ i

5x + 2y = 424 ....... ii

Multiply equation i by 2

Multiply equation ii by 1

2x + 2y = 256 ...... iii

5x + 2y = 424 ....... iv

Subtract iii from iv

3x = 168

x = 168/3

x = 56.

Therefore, there were 56 $5 bills.

Can someone please help me with math.

Answers

Answer:

4. (2,1) 5. (-2,1) 6. (8, 80)

Step-by-step explanation:

4.

2x + 4y - 2x + 2y = 8 - 2

6y = 6

y = 1

2x + 4 = 8

2x = 4

x = 2

(2,1)

5.

3x + 4y + 6x - 4y = -2 - 14

8x = -16

x = -2

-6 + 4y = -2

4y = 4

y = 1

(-2,1)

6.

multiply first equation by 4

4y = 40x

4y + 40x + 6y = 40x + 800

10y = 800

y = 80

80 = 10x

x = 8

(8, 80)

Ashleys Shoe Store buys shoes for $35 and then sells them for
$85.
What is the percent of increase on the price of the shoes?
Round to the nearest whole number

Answers

85/35 = 2.43% because that is the percent you would need to multiple by

help with all pleas
1. what is 3% of 84
2. 378 is what percent of 450
3. 8 is what percent of 128

Answers

Answer:

Hello There!!

Step-by-step explanation:

1. 2.52

2. 84

3. 6.25

hope this helps,have a great day!!

~Pinky~

Margo can purchase tile at a store for $0.59 per tile and rent a tile saw for $72. At another store she can
borrow the tile saw for free if she buys tiles there for $1.39 per tile. How many tiles must she buy for the
cost to be the same at both stores?

Answers

2.50 is the answer because if she has 2 then she can get 1

a triangle is doing on a grid if each box represents one square unit what is the area of the triangle​

Answers

Answer:

4 square  units

Step-by-step explanation:

Find the value of x in the triangle shown below.

1. x = 3
2. x = √20
3. x = 2
4. x = √36

Answers

Step-by-step explanation:

5²=4²+x²

25=16+x²

25-16=x²

9=x²

√9=√x²

3=x

A

Is –2,823,680 − 8,957,599 positive or negative?

Answers

Answer:

negative

Step-by-step explanation: it has negative signs

It’s negative. Hope this helps:)

Multiply.

(x+3)(2x+4)

A
3x2 + 7x + 12

B
2x2 + 7x + 12

C
3x2 + 10x + 12

D
2x2 + 10x + 1

Answers

Answer:

2x²+10x+12

Step-by-step explanation:

2x²+4x+6x+12

2x²+10x+12

What is this equation -4(y-2)=12

Answers

Answer: -1

Explanation:

-4(y-2)=12
y-2=-3
y=-1
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