Virgil has 1/6 of a birthday cake left over. He wants to share the leftover cake with 3 friends. What fraction of the original cake will each of the 4 people receive? Draw a picture to support your response.

Answers

Answer 1

Answer:

Each of the 4 people will get 1/24 of the original cake

Step-by-step explanation:

The fractional part of cake left out is 1/6

This remaining cake is to be divided among four people.

Thus, each person will get

fractional part of cake left/total number of people

i.e 1/6/4

= 1/24

Each of the 4 people will get 1/24 of the original cake


Related Questions

Help QUICK PLS ITS DUE IN 30 MINS

Answers

Answer: false, true, true, and i don’t know the last one

Step-by-step explanation:

HELP PLEASE
A bus that seats 50 people was rented by a local club. As the bus fills with people, the price of each seat is lowered. What type of
trend would this be?
A) Positive

B) Negative

C)No trend

Answers

Answer: B) Negative

Step-by-step explanation:

Answer:

B) Negative

Step-by-step explanation:

The question states that as the number of people increases, the price of each seat decreases. Therefore this is a negative trend, because the increase in one variable leads to the decrease in the other variable.

Hope this helped!

What is the answer to this question

Answers

Answer:

3

Step-by-step explanation:

I NEED HELP UNDER 5 MINUTES BEST ANSWER GETS BAINLESS hits 96 must play 3 minutes of commercials for every 30 minutes of music played. how many minutes of commercials must be played for 210 minutes of music?​

Answers

Answer:

21

Step-by-step explanation:

so the relationship is that the music is ten times the commercials so, divide 210 by 30 and times that number by 3 210/30= 7, 7'3=21

Answer:

21 minutes of commercials

Step-by-step explanation:

If Hits 96 must play 3 minutes of commercials for every 30 minutes of music played, than the ratio of minutes of commercials to minutes of music is 3:30=1:10.

If 210 minutes of music is played, we can model the situation with the equation [tex]\frac{1}{10} =\frac{x}{210}[/tex]

We can use cross multiply to simplify the equation to [tex]10x=210[/tex]

Dividing each side by 10, we get [tex]x=21[/tex]

So, if 210 minutes of music is played, 21 minutes of commercials is played.

Solve the equation 5x^2-12x-5=-3x to the nearest tenth​

Answers

Answer:it’s x=(2.2, -0.4)

Step-by-step explanation:

Solve: -3x = 15 you can get the brainiest

Answers

If you times -3 by -5 the negatives cancel eachother and therefore you get 15.

the point (3, 4) is plotted on the coordinate plane below.




What are the coordinates of the point after a 90° counterclockwise rotation about the origin followed by a translation 4 units to the left?

A.
(-1, 4)
B.
(-4, 3)
C.
(0, 3)
D.
(-8, 3)

NO LINKS

Answers

Answer:

D)  (-8, 3)

Step-by-step explanation:

90° counterclockwise brings point to (-4, 3)

translation 4 units to left brings point to (-8, 3)

Solve for the missing side. Round to the nearest tenth.
х
51°
12

Answers

9514 1404 393

Answer:

  7.6

Step-by-step explanation:

The relevant relation is ...

  Cos = Adjacent/Hypotenuse

  cos(51°) = x/12

  x = 12·cos(51°) ≈ 7.552

  x ≈ 7.6

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Answers

56565556666665565/5455455/-45444×44555544×+45567777

4549

Answer:

The answer is 6 seals plz mark as brainiest to show your appreciation

Step-by-step explanation:

What is the measure of op С : 429 180° ​

Answers

Answer:

90

Step-by-step explanation:

the angles that are on the opposite side are same

LEARNED THIS IN FOURTH GRADE

I'm still in  fourth grade

my math teacher taught us this separately.

I go to School for the Highly Gifted in Grand Prairie, Texas

help me please im lost​

Answers

f ( x ) = 1 / x - 2

g ( x ) = 4 / x

_________________________________

( f o g )( x ) = f ( g(x) )

f ( g(x) ) = 1 / g(x) - 2

f ( g(x) ) = 1 / ( 4 / x ) - 2

f ( g(x) ) = x / 4 - 2x

WILL GIVE BRAINLIEST!!! No LINKS or REPORT!!!

Answers

The volume of the cone is37.7

The formula is:

V= (3.14)π⋅ (radius)r^2⋅(height)h/3

(^2 is a exponent)

How to solve:

π ·2^2· 9/3= 37.69911

(Round to the nearest tenth)

37.7
37.7
I just did this one and i got it right

LCM of (2^3×3×5) and (3×5) is​

Answers

Answer:

120

Step-by-step explanation:

LCM of (2^3×3×5) and (3×5) is​

The LCM of the expression will be the product of all the factors that are in both expressions

(2^3×3×5) = 2 * 2 * 2 * 3 * 5

(3 * 5) = 3 * 5

since 3 * 5 is common to both factors, we will not have to repeat it twice to get our LCM again. Hence the LCM is expressed as;

LCM = 2 * 2 * 2 * 3 * 5

LCM  = 8 * 3 *5

LCM = 24 * 5

LCM = 120

Hence the required LCM is 120

The dot plot shows the favorite sport to play according to some middle school students chosen at random.



Which statement is true according to the information in the dot pot?


Answer choices


A. Exactly 2/5 of the students chose basketball, golf, and track as their favorite sport to play.


B. Exactly 15% of the students chose baseball as their favorite sport to play.


C. Less than 1/5 of the students chose soccer and hockey as their favorite sport to play.


D. More than 25% of the students chose football and tennis as their favorite sport to play



PLEASE ANSWER THE QUESTION. IF YOU DONT KNOW YOU DONT KNOW

Answers

Answer:

D. More than 25% of the students chose football and tennis as their favorite sport to play

Step-by-step explanation:

From the dot plot :

Sport __Number of students

Hockey = 4

Track = 2

Tennis = 3

Basketball = 12

Soccer = 6

Football = 10

Golf = 5

Baseball = 8

Total = (4+2+3+12+6+10+5+8) = 50

Students of basketball, golf and track = (12 + 5 + 2) = 19 ; 19 /50 =

Percentage that chose base ball = 8 /50 *100 = 16%

(soccer + hockey) = (6+4) = 10/50 = 1/5

Football + tennis = (10 + 3) = 13

13/50 = 0.26 * 100% = 26% (True)

Which pair of events is dependent?
O A. You get a head and a tail in two coin tosses with two different coins.
O B.
You get a head and a tail in two coin tosses using the same coin twice.
O C. You pick two
numbered billiard balls from a bag of balls one after the other without replacement.
O D. You draw two red cards one after the other with replacement.

Answers

Believe D wjwjammlsodiejwbwbnas

Answer:

It's option C

Step-by-step explanation:

C. You pick two numbered billiard balls from a bag of balls one after the other without replacement.

Find the value of x in the triangle shown below.

a.164
b.2
c.6
d.80

Answers

Answer:Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]by using Pythagoras law:h²=p²+b²

10²=+8²

x=36=6 units.

What percent of the cars passed through between 2pm and 2:59 pm

Answers

Answer:

Can you actually do your own work

Step-by-step explanation:

Do it yourself

Suppose that a large family has 14 children, including two sets of identical triplets, three sets of identical twins, and two individual children. How many ways are there to seat these children in a row of chairs if the identical triplets or twins cannot be distinguished from one another

Answers

Answer:

First, assume that we have 14 seats in a row.

Let's count the total number of combinations assuming that the 14 kids are differentiable.

In the first seat, we can sit only one child, the number of options is (14)

In the second seat, we can sit another child, in this case, the number of options is 13, because one child is already seated.

For the third seat, we will have 12 options.

for the fourth seat we will have 11 options, and so on.

The total number of permutations is equal to the product between the numbers of options for each case.

Then the total number of permutations is:

P = 14*13*12*11*...*3*2*1 = 14!

Now, we need to discount the permutations of the two sets of identical triplets:

a triplet has 3 elements, then the permutations of each set of triplets is:

p = 3*2*1 = 3!

Then if we discount two sets of triplets, we need to divide by:

d = 2*(3!)

We also have 3 sets of twins, the permutations for each set of twins is:

p = 2*1 = 2!

Then if we discount the 3 sets of twins, we need to by:

q = 3*(2!)

Then the total number of different combinations will be:

[tex]P = \frac{14!}{2*(3!)*3*(2!)} = 1,210,809,600[/tex]

Determine if the given value of the variable is the solution of the equation . write yes or no .
please i need help i will mark u brill

Answers

Answer:

no, b does not equal 5 in that equation

Step-by-step explanation:

if you solve for x, this is how it would look:

65/b + 8 x 4 = 20

65/b + 32 = 20

65/b = 20 - 32

65/b = -12

65 = -12b

-12b = 65

b = -65/12 (or -5 5/12)

Expression represents five less a third of a number?

Answers

Answer:

[tex] \frac {1}{3}x - 5 [/tex]

Step-by-step explanation:

Let the unknown number be x.

Translating the word problem into an algebraic expression, we have;

[tex] \frac {1}{3}x - 5 [/tex]

Or

[tex] \frac {x}{3} - 5 [/tex]

Simplifying further, we have;

[tex] \frac {x}{3} = 5 [/tex]

Cross-multiplying, we have;

x = 15

Therefore, the above algebraic expression is five less a third of a number.

What is the equation of a line that contains the point (6,-4) and has a slope of 3/4?
A. y-4 = 3/4 (x-6) B. y+ 4 = 3/4 (x-6) C. y- 6 = 3/4 (x-4) D. y-6 = 3/4 (x+4)

Answers

Answer:

B. y+ 4 = 3/4 (x-6)

Step-by-step explanation:

Given:

m = 3/4

Slope-intercept:

y - y1 = m(x - x1)

y + 4 = 3/4(x - 6)

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

A person jumping on a trampoline

Question 2 of 10
What is the solution to this equation?
x - 16 = -8
A. x= 8
B. x = -8
C. x = 24
D. x= -24

Answers

A. X= 8
X-16=-8
X= -8+16
X=8
A explanation for this add 16 to negative 16 to move it -8 plus 16 equals 8 your left with X=8

What is the area of a flower garden with a width of 1.2 m and a length of 3.6 m



Plz help ​

Answers

Answer:

4.32m²

Step-by-step explanation:

Width · Length

3.6 · 1.2 = 4.32

Answer:4.32 m

Step-by-step explanation:When trying to find the area of something with length and width you multiply them both to find your answer. (1.2 x 3.6=4.32) or you can always multiply 12 times 36 and move the decimal to where it belongs.

PLSSSSSSSS I NEED HELP

A 7 foot flagpole casts a shadow on a flat concrete patio. The distance
from the top of the pole to the tip of the shadow is 34 feet. What is the
distance along the ground from the base of the pole to the tip of the
shadow (nearest tenth)?

Answers

Answer:

33.3 ft

Step-by-step explanation:

Draw a picture, you should see that a right triangle is formed from the flag and shadow. Apply pythagorean theorem. See attached image for work out.

Without solving, tell what is true of the product of 3 and 2/3 =?

Answers

Answer:

3 is a whole number while 2/3 is less than 3

Step-by-step explanation:

In planning a Thanksgiving vacation, you want to rent a car for a week and travel the Pacific Highway from San Francisco to San Diego. You want to return to San Francisco via Las Vegas, Death Valley, and Yosemite National Park. This trip covers approximately 1,500 miles. You plan to return the car with a full tank of gasoline. You are considering two options advertised by Hertz:


Toyota Camry, 40 mpg highway, costs $448.27 plus taxes and fees, totaling $533.65.

Toyota Prius Hybrid, 49 mpg highway, costs $610.58 plus taxes and fees, totaling $772.88.

In both cases, you must purchase gasoline, which costs $4.00 per gallon in California.


Camry: Total gasoline cost is?

Answers

Answer:

The gas cost for the Camry will be $ 150.

Step-by-step explanation:

Since in planning a Thanksgiving vacation, you want to rent a car for a week and travel the Pacific Highway from San Francisco to San Diego, and you want to return to San Francisco via Las Vegas, Death Valley, and Yosemite National Park, and this trip covers approximately 1,500 miles, and you plan to return the car with a full tank of gasoline and are considering two options advertised by Hertz:

Toyota Camry, 40 mpg highway, costs $ 448.27 plus taxes and fees, totaling $ 533.65.

Toyota Prius Hybrid, 49 mpg highway, costs $ 610.58 plus taxes and fees, totaling $ 772.88.

In both cases, you must purchase gasoline, which costs $ 4.00 per gallon in California.

To determine the total cost of gasoline for the Camry, the following calculation must be performed:

(1,500 / 40) x 4 = X

37.5 x 4 = X

150 = X

Therefore, the gas cost for the Camry will be $ 150.

8. Which of the following correctly multiplies f(x) x g(x) if f(x) = 3x-1 and g(x) = 2x + 1?
A) f(x) x g(x) = 6x2 + x + 1
B) f(x) x g(x) = 5x
C) f(x) x g(x) = 6x2 + x-1
D) f(x) x g(x) = 5x2 + x-1

Answers

Answer:

C) f(x) x g(x) = 6x2 + x-1

Step-by-step explanation:

Multiplication of functions:

Two multiply two polynomial functions, we apply the distributive property(multiply each two terms and add).

In this question, we have that:

[tex]f(x) = 3x - 1, g(x) = 2x + 1[/tex]

The multiplication is:

[tex]f(x) \times g(x) = (3x - 1)(2x+1) = 3x*2x + 3x*1 -1*2x -1*1 = 6x^2 + 3x - 2x - 1 = 6x^2 + x - 1[/tex]

The correct answer is given by option C.

How many possible passwords can be made for a website that requires passwords to consist of 3 digits followed by 2 letters? (Note that each digit or letter is allowed to be repeated.)​

Answers

Answer is 676,000 possible passwords


xxx##

There are 10 possibilities for each digit placed and 26 possibilities for each letter placed.

10x10x10x26x26 = 676,000

Answer:

67,600

Step-by-step explanation:

someone please help me answer this!!

Answers

Answer:

c = 2.2m is the answer.

Step-by-step explanation:

a = 1m

b = 2m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

1² + 2² = c²

1 + 4 = c²

c² = 5

c = 2.2m

∴ the slide is 2.2m long.

the answer to this is 2.2
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