Genesis has 2/3 of her birthday cake left and she wants to share it between 3 of her friends. How much of the original cake will each friend receive? Kaycee says 6/9 Tari says 2/9 Janiyah says 3/9 Who is correct?

Answers

Answer 1

Answer:

[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.

Step-by-step explanation:

You know that Genesis has [tex]\frac{2}{3}[/tex] of her birthday cake left and she wants to share it between 3 of her friends.  

To determine the amount of original cake that each friend will receive is determined by dividing the [tex]\frac{2}{3}[/tex] of the cake into 3 pieces, which is the number of friends.

[tex]\frac{2}{3}[/tex] ÷3

To divide fractions by natural numbers, the whole is considered as a fraction (that is, over the denominator 1). Then you invert this the second fraction and multiply the fractions. For this, you multiply the numerators of the fractions on one side and multiply the denominators of the fractions on the other. If necessary, you simplify the resulting fraction.

In summary, to divide a fraction by a whole number, all you have to do is convert the whole number to a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction.

In this case:

[tex]\frac{2}{3}[/tex] ÷3= [tex]\frac{2}{3} *\frac{1}{3}=\frac{2*1}{3*3} =\frac{2}{9}[/tex]

[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.


Related Questions

help me and ill give brainly

Answers

It would be

Hope this helps

Answer:

(-inf, 5)

Step-by-step explanation:

just the previous answer, in anothe r form

answers for both boxes please :)​

Answers

Answer:

4,9

Step-by-step explanation:

since y = x+5, substitute the second equation into the first

then the first equation becomes x+5=2x+1

solve and you get x=4

substitute x for 4 in the second equation and you get y = 9

if this answer was correct, please mark this as brainliest! thanks

A 25 foot ladder leans against a house. How far
is the foot of the ladder from base of the building
if the top of the ladder is 20 feet from the ground?
A. 20 ft
B. 15 ft
C. 18 ft
D. 10 ft

Answers

Answer:

x=15

Step-by-step explanation:

HELP ILL GIVE BRAINLIEST

An angle measures 158º more than the measure of its supplementary angle. What is the measure of each angle? _° and _°​

Answers

Answer: 158 and 28

Step-by-step explanation:

Supplementary angles are angles that add to 180, so 180-158 = 28 degrees.

A triangle with vertices D, E, and F are plotted on the coordinate plane at (0, 5). (2, 0), and (-4, 2), respectively. When constructed,
medians DG and EH intersect at the point with which coordinates? Round each coordinate to the nearest tenth if necessary.


A. (-0.7, 2.5)

B. (-1, 1)

C. (-0.7, 2.3)

D. (-2, 3.5)

Answers

Given:

Vertices of a triangle are D(0,5), E(2,0) and F(-4,2).

To find:

The intersection point of medians DG and EH.

Solution:

We know that, intersection point of all the medians of a triangle is called centroid.

The formula of centroid is

[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]

Vertices of a triangle are D(0,5), E(2,0) and F(-4,2). So, the centroid of the triangle is

[tex]Centroid=\left(\dfrac{0+2+(-4)}{3},\dfrac{5+0+2}{3}\right)[/tex]

[tex]Centroid=\left(\dfrac{-2}{3},\dfrac{7}{3}\right)[/tex]

[tex]Centroid=\left(-0.666...,2.333\right)[/tex]

Round each coordinate to the nearest tenth.

[tex]Centroid=\left(-0.7,2.3\right)[/tex]

Therefore, the correct option is C.

+10 points
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 8 N acts on a certain object, the acceleration of
the object is 4 m's?. If the force is changed to 18 N, what will be the acceleration of the object?

Answers

Answer:

[tex]9\ m/s^2[/tex]

Step-by-step explanation:

For a moving object, the force acting on the object varies directly with the object's acceleration.

F ∝ a

or

[tex]\dfrac{F_1}{a_1}=\dfrac{F_1}{a_2}[/tex]

Put F₁ = 8 N, a₁ = 4 m/s², F₂ = 18 N and a₂ = ?

Put all the values,

[tex]\dfrac{8}{4}=\dfrac{18}{a_2}\\\\2=\dfrac{18}{a_2}\\\\a_2=9\ m/s^2[/tex]

So, the new acceleration is [tex]9\ m/s^2[/tex].

Can u help me please

Answers

I'll help

The sum of the prices for the items(That's 2large baskets and small gift baskets) for the first customer is $57. So assuming the price of a large basket is x and small basket is y, then an expression for the first sentence is;

2x + 5y= 57

The sum of the prices for the second customer is $6 less than the first customer ( that's 57-6 which is $51). Since he bought 1 large basket and 10 small baskets and the price of each large basket is the same and the price of each small basket is the same they assume the same variable of x and y. So the expression of the second sentence is;

x+10y=51.

So the expressions will be;

2x+5y=57

x+10y=51

That's Option C

if two angles in a triangle are 40° and 30°, then the third angle measures 110

Answers

Answer:

Si

Step-by-step explanation:

If 10x +5 = 100, is x greater than 10 or less than 10? Without solving the equation, explain how you
know.

Answers

Answer:

Step-by-step explanation:

X is less than 10 because you have the plus in the equation and so it as to be less than ten so that when you multiply it by 10 it equals less than 100. I don’t know if my explanation makes sense but I hope it helps.

Find the values or a and b​

Answers

Answer:

a=33 ( vertically opposite angles)

a+90=b( sum of opposite interior angle is equal exterior angle)

33+90 = b

b=123

Someone plz help me have a great day ツ

Answers

Answer

What’s your scratch username

Answer:

11 weeks and 3 days

luz drives at an average speed of 60 miles per hour.
She has driven for 2 hours and has traveled a distance of 120 miles.

This situation can be represented with a linear equation written in point-slope form, where x represents the number of hours and y represents the number of miles.

Answers

Answer:

The answer is y = 60x, there is no y-intercept as she has started at zero.

Step-by-step explanation:

Hope this helps!

Answer:

i got the first one wrong(not 4)

the second is (2,120)

and the last y-120=60(x-2)

Step-by-step explanation:

Dominique paid $15.50 to join an online music service.If she purchases 10 songs each month at a cost of $0.99 per song,what will be the total amount she has spent after 8 months.

Answers

Answer:

94.7

Step-by-step explanation:

15.50+10*0.99*8

PLEASE ANSWER THIS! THANKS! :D

Answers

€31.65 is the answer to your question

Answer:

38 euros

Step-by-step explanation:

ok, so,

you know that

£3 is equal to 4 euros

this means that    0.75 pound is equal to 1 euro

       28.50/0.75=38

do 38 times 1, which means that it is 38 euros

please mark me as brainliest!!!<3

Question is on the photo pls help

Answers

Answer:

d)-8

Step-by-step explanation:

-6s-¹t²-6(3)-¹(-2)²-6(⅓)(4)-8

Write an equation of the line that passes through (2,-1) and is parallel to the line y=-3x+8

Answers

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 8 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, then

y = - 3x + c ← is the partial equation

To find c substitute (2, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - 3x + 5 ← equation of line

I will give brainlist

Answers

Answer:

7

Step-by-step explanation:

Raymond is 7.In 3 years,his age will be 5/3 the age of his sister marissa. How old will marissa he in 3 years?

Answers

Answer:

6 years old

Step-by-step explanation:

Raymond is 7His sister is x

In 3 years Raymond will be 10, and his sister x + 3:

10 = 5/3(x + 3)x + 3 = 6x = 3

Marissa is 3 now and will be 6 in 3 years

What is the solution to this inequality?

42.06 = 21.33 + 3x

Answers

Answer:

x = 6.91 hope this helps pls lmk

Can anyone help with this please?

Answers

Answer:

A

Step-by-step explanation:

How do I do this please help me

Answers

Answer: I think it might be (0,8)

Step-by-step explanation:

What is the value of K?
k=
8
m
o
k
N
M
what is the answer to this ? :)

Answers

Answer:

k is 2, l=2√5, m=8√5

Step-by-step explanation:

Triangle MNO is half size of the triangle LON

please help me with this

Answers

Answer:

(48,15), (63,39), (13,25), (71,52), (28,52)

Step-by-step explanation:

an ordered pair is pretty much an x that goes with a y

(48,15)
(63,39)
(13,25)
(71,52)
(28,52)

I NEED HELP PLEAZE!!!!!!!!!!!!!!!! =(

Answers

Answer:

x[tex]\sqrt{6y}[/tex]/ 3[tex]y^{2}[/tex]

Step-by-step explanation:

Find the value of x. ​

Answers

Answer:

x = 12

Step-by-step explanation:

start with x, subtract y, multiply by a, then add z

Answers

X - Y * A + Z is the answer

Please can someone answer this question quickly please

Thanks

Answers

Answer:

C. 5/7

Step-by-step explanation:

Answer:

It is C.5/7

Step-by-step explanation:

Hope this helped have an amazing day!

5 dived by 1 over 10

Answers

50. You’d multiply by the reciprocal, which is 10z

PLEASE PLEASE HELP!~!!!!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  $6.87

Step-by-step explanation:

The cost of 0.6 pounds of blueberries is ...

  (0.6 lb)($3.98/lb) = $2.39

The cost of 1.8 pounds of clementines is ...

  (1.8 lb)($2.49/lb) = $4.48

Then the total cost of the purchase is ...

  $2.39 +$4.48 = $6.87

The combined cost is $6.87.

Ryan is building a treehouse it will take 13 1/4 hours to complete he can work on the treehouse 1 1/2 hours each day how many days will it take Complete up with the treehouse complete plzz help like now

Answers

Answer:

9 days

Step-by-step explanation:

13 1/4 / 1 1/2 = 8 5/6 so 9 days

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