After Charlie ate 2/3 of the remaining cake, he divided the rest equally among his 3 friends. What fraction of the pan of cake did each friend get? Write an expression and show all of your work.

Answers

Answer 1

Answer: 1/9 of the cake

Step-by-step explanation:

Charlie ate 2/3 of the cake which means that what is left to give the friends is:

= 1 - 2/3

= 1/3 of the cake

This was divided equally amongst three friends so the expression would be:

= 1/3 ÷ 3

This can also be written as:

= 1/3 * 1/3

= 1/9

Each friend got 1/9 of the cake.

Answer 2

Answer:

1/9 of the cake

Step-by-step explanation:

1  -  2/3    =   1/3   left

(1/3)  / 3   =    1/9   =  what each friend got

In  one fell  swoop  we  have  ( 1 - 2/3)  / 3     =   1/9


Related Questions

Find the area of the blue shaded region. Round your answer to the nearest hundredth.

Answers

Answer:

173.17 ft²

Step-by-step explanation:

Use the area of sector formula to help:

area of sector = x°/360 ·πr²

27.93 = 50/360·π(x)²

x= 8.00068

plug back in

360-50/360·π(8.00068)² = 173.1661 =

173.17ft²

help answer this for me it will help i will give u extra points

Answers

Answer:

a. 3

Step-by-step explanation:

get 20% of 60= 12

and 25% of 60= 15

15-12=3

Answer:

Step-by-step explanation:

b

math problem, help me please!!

Answers

Answer:

-3

Step-by-step explanation:

answer must be negative since graph opens downward

value of 'a' must must be less than -1

120 sweets are put into three different size boxes.
The sweets are put into a small box, a medium box and a large box in the ratio 1:2:5
Work out the number of sweets in a large box.

Answers

Answer:

75 sweets

Step-by-step explanation:

Given that

There is 120 sweets that are put into three different size boxis

And, the ratio of small box to medium box to large box is 1:2:5

We need to find out the no of sweets in the large box

So,

The number of sweets in a large box is

= 120 sweets × 5 ÷ (1 + 2 + 5)

= 120 sweets × 5 ÷ 8

= 75 sweets

ou find a clue wrapped around a Toblerone bar. The base was an equilateral triangle with a side of 16 mm and the bar was 155 mm long. How many sq mm was the clue? (lateral surface area)

Answers

Answer:

54 cubic inches?

Step-by-step explanation:

The Surface area of bar is 7696 square mm.

What is Surface area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

We have,

The base was an equilateral triangle with a side of 16 mm and the bar was 155 mm long.

So, Surface area of Triangular Prism

= ( 16 + 16 + 16) 155 + 16  x 16

= 7440 + 256

= 7696 square mm

Learn more about Surface area here:

https://brainly.com/question/29298005

#SPJ7

Classify the polynomial.

2x^5+x^2-2x+4

a. quintic polynomial
b. cubic polynomial
c. quadratic monomial

Answers

It would probably be A

Find the perimeter and area of the polygon shown below.

A. P= 80 feet, A = 368 square feet

B. P = 80 feet, A = 360 square feet

C. P= 95 feet, A = 420 square feet

D. P = 60 feet, A = 368 square feet

Answers

Answer:

I would say it's d (sorry if im wrong)

What is the equation of the line perpendicular to y = -x+6 that passes through the
2
point (4, 1)?

Answers

Answer:

[tex]y=x-3[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 1/2 and -2, etc.)

1) Determine the slope (m)

[tex]y = -x+6[/tex]

Looking at the given line, we can identify clearly that -1 is in the place of m, making it the slope of the line. Because perpendicular lines have slopes that are negative reciprocals of each other, we know that the slope of the line we're solving for is 1. Plug this into [tex]y=mx+b[/tex]:

[tex]y=x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=x+b[/tex]

Plug in the given point (4,1)

[tex]1=4+b[/tex]

Subtract 4 from both sides

[tex]1-4=4+b-4\\-3=b[/tex]

Therefore, the y-intercept is -3. Plug this back into [tex]y=x+b[/tex]:

[tex]y=x-3[/tex]

I hope this helps!

Which alternative is the NEGATIVE reciprocal of -1/8?*
A-8
B. -1/8
C. 1/8
D. 8

Answers

Answer:

Reciprocal simply means... swap the denominator for the Numerator...

Now negative Reciprocal now means... Swap the denominator by the numerator and Multiply by -1

So

1/-8 becomes

-(-8/1)

=8.

Option D

The table shows the admission fees to one conservatory at Gardens by the Bay. Mr Tan and his friends planned a group visit for three adults and nine children. Find the amount of money they had to pay for their tickets.
per adult $2.
Per child $8.​

Answers

Answer:

78$

Step-by-step explanation:

3 adults, 2 dollars per adult. Multiply. 3(2) = 6

9 children, 8 dollars per child. Multiply. 9(8) = 72

Add to get total sum of money they needed to pay. 72+6 = 78

Which choice correctly describes this event? Every time I flip a coin / will get tails.
A)Certain
B)Impossible
C)Likely
D)Unlikely
Please help ASAP ill give BRAINLIEST

Answers

Answer:

D

Step-by-step explanation:

With each flip of the coin, the chance of it landing on tails is multiplied by half. Hence the chance of landing a consecutive series of tails decreases the more times you flip the coin, but never reaches 0.

A is incorrect as it is possible to land heads on any flip.

B is incorrect as there is always a possibility of landing tails on every flip.

C is incorrect as the chance of getting tails on every flip is small (and gets smaller) and hence cannot be considered to be likely.

Hence D is the answer.

lets find the answer

Answers

Answer:

(-3,0)

Step-by-step explanation:

1) find the coordinate of x

x = -3

2) find the coordinate of y

the point lies on x axis so y = 0

The coordinates are (-3, 0)

:)

Help me pleaseeee with this question

Answers

Answer:

B. 7

Step-by-step explanation:

Count every number less than 70 (count the leaf plot numbers if that helps).

62,62,63,64,54,56,56 = 7 drivers that travel less than 70 mph

The area of a triangular banner is 64 square feet. The base of the banner is 16 feet long. Write an equation you can use to find the height h of the banner. (Hint: A=1/2bxh)
Write it as an equation.

Answers

The equation would be h=(2A)/b

A penguin walks 10 feet in 6 seconds. At this speed: 1.How far does the penguin walk in 45 seconds? 2.How long does it take the penguin to walk 45 feet? Explain or show your reasoning.

Answers

1-75 feet
2-28 seconds , hope this helps!!

two students were walking to school one day when they saw two teachers each walking with two dogs. Each dog had two ears.How many dog ears where they in all

Answers

Answer:

there were 8 dog ears in all.

Step-by-step explanation:

Since the statement says that they saw two teachers each walking with two dogs, you have to multiply the number of teachers for the number of dogs each one had to find the total number of dogs they had:

2*2=4

Now, as the statement indicates that each dog had two ears you have to multiply the number of dogs for the number of ears each one has:

4*2=8

According to this, the answer is that there were 8 dog ears in all.

Please Help!! Thanks in advance!

Answers

Given:

The equation is:

[tex]\dfrac{y}{p-q}=\dfrac{y}{p+q}[/tex]

To find:

The value of y.

Solution:

We have,

[tex]\dfrac{y}{p-q}=\dfrac{y}{p+q}[/tex]

On cross multiplication, we get

[tex]y(p+q)=y(p-q)[/tex]

[tex]yp+yq=yp-yq[/tex]

[tex]yp+yq-yp+yq=0[/tex]

[tex]2yq=0[/tex]

Dividing both sides by 2q, we get

[tex]\dfrac{2yq}{2q}=\dfrac{0}{2q}[/tex]

[tex]y=0[/tex]

Therefore, the correct option is A.

–(–12) = ? can someone help me please?

Answers

Answer: +12

Step-by-step explanation:

- and - makes positive

Which statement is true?
A) function is a relation where each output value is assigned to exactly one input value.
B) The domain of a function is the set of all output values, or y-values, for which the function is defined.
C)The range of a function is the set of all input values, or x-values, for which the function is defined.
D)To write the equation y = ax + b in function notation, substitute f(x) for y.

Answers

Answer:

D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

A function is a relation where each input value is assigned to only one output value.

The domain of a function is the set of all input values, or x-values, for which the function is defined.

The range of a function is the set of all output values, or y-values, for which the function is defined.

Which A, B, & C are wrong. So D, is the one that makes the most sense.

Please answer correctly! I will mark you as Brainliest! Please No links or any joking around or I will call and report you!

Answers

answer:
(0, -3)

step-by-step explanation:
if you flip it over the x-axis it would be (0, -3) because the 3 is the y-intercept it would just be -3

Answer:

0, -3

Step-by-step explanation:

So remember, when they say reflect over the x intercept, they do not mean to reflect the x value, they mean to reflect over the hirzontal line of the graph.(x axis)

This is the same with reflection over the y intrecept. This doesnt mean y is flipped, this means that whatever point or line you have is reflected over the vertical line on the graph(y axis)

So our orginal value is (0, 3). We need to reflect over the x axis, which means that y will now be -3, since that is the opposite of what we can see when we flip the x axis.

The 0 x, of course, stays the same since its 0.

So your answer is (0, -3)

Hope this helps! :)

Jill and John each had a candy bar. Jill at ¾ of the candy bar and John at 3/8 of his candy bar. Who ate the most?

Answers

Answer:

John

Step-by-step explanation:

3/4 > 3/8

3/4 = 6/8

6/8 > 3/8

What is the total surface area of a dog food can which has a diameter of 5 inches and a height of 7
inches?

Answers

Answer:

35.................

What is the shape of the cross section of the triangular prism in each situation? Drag and drop the answer into the box to match each situation.​

Answers

Answer:

immma send you the link friend me on here

Step-by-step explanation:

What is exactly between 2 and 3 on a number line?
A. 1.5
B. 3.5
C. 2.5

Answers

Answer:

2.5 my guy

Step-by-step explanation:

C. 2.5
bcs if you have a line btwn 2 and 3, 2 and a half would be right in btwn it

Gerald wants to buy a pack of pencils for $1.77. He has 5 quarters, 3 dimes and 4 pennies. How much more money does he need?

Answers

Answer:

18 cents

Step-by-step explanation:

25 times 5 plus 30 plus 4

Answer:

$0.18

Step-by-step explanation:

How much will it cost to paint the treasure chest below? A pint of paint can cover 5 ft2 and costs $4.50. You do not need to paint the bottom of the treasure chest.
please show work. its late for geometry and I really need to pass. i will mark brainliest :)

Answers

Answer:

I saw people trolling your answer here is the answer! I am sorry what people are doing to you!

There is a rectangle and a cylinder

5ft cost 4.50

Area is 643

Now

643x4.5

Answer:

Around 2893.5

*PLEASE HELP* A metal ornament is being designed such that its perimeter is created by four identical three-quarter circles as shown whose centers are connected to form a square. The ornament, both circular and square portions, made of wire that weighs 1.8 grams per inch. The square has sides that are 4 inches long.

Answers

Questions :

(a) Determine the total length of the circular portions in terms of

pi. Show the work that leads to your answer.

(b) Determine the total length of wire needed, both circular and

square portions, to the nearest tenth of an inch.

G

(c) Determine the total weight of the ornament to the nearest

gram.

Answer:

12π

53.68 in

96.624g

Step-by-step explanation:

The total length of the circular portion :

Perimeter of circle = Circumference of the circle = 2πr ; r = radius = 2

Size of each circle is 3/4

Number of circles = 4

Number of complete circles :

4 × 3/4 = 3 complete circles

Perimeter of circle:

Number of circles * (2πr)

3 * 2 * π * 2 = 12π

Total wore needed :

Circular + Square

Perimeter of square = 4s

s=side length = 4

Total square 4 * 4 = 16

Perimeter of Square + perimeter of circle

16 + 12π = 16 + (12 * 3.14) = 53.68 in

Total weight of ornament :

1.8 g * perimeter

1.8 * 53.68 = 96.624g

Solve the right triangle.
Round your answers to the nearest tenth.

Answers

Sorry, I think you forgot the photo of the problem

Determine if the sequence below is arithmetic or geometric and
determine the common difference / ratio in simplest form.
1,3,5...
This is
sequence and the
is equal to

Answers

Answer:

arithmetic

Step-by-step explanation:

geometric sequences grow really fast in a short amount of time while arithmetic sequences have a steady growth over any period of time

Answer:

This is an arithmetic sequence and the common difference is equal to 2.

Find the tenth term in each sequence 32, 42, 50, 58, 66

Answers

Answer:

106

Step-by-step explanation:

The pattern is +8.  66 is the last number given which is the 5th number. So we need to have five numbers. we can do 8*5=40 and add 40 to 66. Your answer is 106.

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