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

Need this very badly, there is,no c or d just those 2.​

Answers

Answer:

B.

Step-by-step explanation:

A is describing volume I belive so the only answer that makes sense would be b since the surface area is when you combine all the areas togther.

Hope this helps :)

The cost to rent a truck is $75 flat fee, plus $0.55 per mile driven. The table below shows the total cost of the renting the truck for the first four miles.

Answers

Answer:

75+ 0.55x = total amount

75 + (0.55 X 60) = $108

Step-by-step explanation:

x is a variable and represents the number of miles you drive, since you drive 60 miles you should figure out how much is 60 miles then add the flat fee of 75

How are the functions
f(x) = 16* and
19(x) = 161/2
related?

Answers

Answer:

F(x) = 16^x = 8^2x

g(x) = 16^1/2x = 8^x

So you can see the relationship. They are all of the type a^bx form, with same base of a, f(x) will have larger increasing rate.

Step-by-step explanation:

Help this is urgent!​

Answers

Answer:

well from what I see this is boring

X=8 in standard form

Please help ASAP

Answers

Answer:

Well X=8 in standard form is NaN or 8 * 10 to the power of 0

Can someone help me with this question. Will mark brainliest.

Answers

Answer:

Choice 2

Step-by-step explanation:

Ask a friend or older sibling, they always have the answer (Not really)

write the equation in logarithmic form
4^6=4096​

Answers

Answer:

log 4 ( 4096 )  = 6

Step-by-step explanation:

Convert the exponential equation to a logarithmic equation using the logarithm base  ( 4 )  of the right side  ( 4096 )  equals the exponent  ( 6 )

ABCD is a parallelogram with coordinates A(4, 2), B(3, −1), C(−1, −1), and D(−1, 2). To prove that ABCD is a parallelogram, you would find which of the following?
A measures of the angles
B slopes of the diagonals
C lengths of the diagonals
D slopes of the sides

Answers

The answer is A im pretty sure

Can someone please help me now. I'll pay extra points fr. This my last time please

Answers

Answer:

[tex]y = \frac{1}{2}x - 3[/tex]

Step-by-step explanation:

The y-intercept is -3

You can determine the slope by using rise over run, which is 1/2.

Question 8
Which graph does NOT represent a function?

Answers

Answer: The circle.

Step-by-step explanation: Vertical line test

helphelphelphelp im desperate

Answers

Answer: Option A.

Step-by-step explanation:

Simplifying

xy + -9z = 4

Solving

xy + -9z = 4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9z' to each side of the equation.

xy + -9z + 9z = 4 + 9z

Combine like terms: -9z + 9z = 0

xy + 0 = 4 + 9z

xy = 4 + 9z

Divide each side by 'y'.

x = 4y-1 + 9y-1z

Simplifying

x = 4y-1 + 9y-1z

find the measurement indicated in each parallelogram first one says 60 and second says 79 please help !

Answers

Answer:

1. 60+X=180(adjacent angles of parallelogram)

X=120

2. X=79(opposite angles of parallelogram)

A parallelogram = 360°
Angles P and R are congruent so
P & R both have a value of 60°
60x2= 120°
360-120=240° are left
Angles S and Q are also congruent so divide 240 by two
240/2=120°
Answer 1.)Q=120°

Again it equals 360° total
Angles X and V are congruent so
X & V both have a value of 79°
Answer 2.) V=79°

1
Solve the following:
x 100
+3= 19
x=

Answers

Answer:

x=4/25

or x=1.028114

or x= 128

Step-by-step explanation:

Answer:x= 128

Step-by-step explanation:

Subtract 3 from both sides of the equation /8+3=19

x/8+3=19

/8+3−3=19−3

Simplify

x/​8=16

Multiply all terms by the same value to eliminate fraction denominators

8x x/8=8x16

Simplify

X=128

Please please help please please ASAP please

Answers

The Answer Is:x=3.5. You have to decide 32 by 9 and the first two numbers you get are your answer.

At the local Convenience store William and Sarah are getting snacks for the friends. William buys 3 soft drinks and 2 hot dogs at a cost of $7.70, while Sarah buys 2 soft drinks and 1 hot dog at cost of $ 4.55.
Find the cost of 1 soft drink and 1 hot dog.

Answers

Answer:

Soft drink: $1.40

Hot dog: $1.75

Step-by-step explanation:

variables:

soft drink- d

hot dog- h

set up equation:

3d+2h=7.70

2d+1h=4.55

solve:

Identify the slope and y-intercept of the equation.
y= 2x - 2
slope:
y-int:

Answers

Answer:

Slope: 2

y-intercept: (0, -2)

Step-by-step explanation:

The equation y=mx+b represents slope-intercept form. M = Slope, and B = The y-intercept.

Answer:

slope- 2

Y-intercept(0,-2)

Step-by-step explanation:

write an equation of the line passing through the point (3,2) and is parallel to the line y=\frac{1}{3}x-3


need answer ASAP

Answers

Answer:

Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:

[tex]y = \frac{1}{3}x+1[/tex]

Step-by-step explanation:

Given equation of line is:

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

Slope-intercept form of a line is given by:

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

Comparing the given equation of line with general form we get

m = 1/3

Let m1 be the slope of line parallel to given line

Then the equation of line will be:

[tex]y = m_1x+b[/tex]

We know, "Slopes of two parallel lines are equal"

Which means

[tex]m_1 = m\\m_1 = \frac{1}{3}[/tex]

Putting the value of slope

[tex]y = \frac{1}{3}x+b[/tex]

Putting the point (3,2) in the equation

[tex]2 = \frac{1}{3}(3)+b\\2 = 1+b\\b = 2-1\\b = 1[/tex]

Final equation of line is:

[tex]y = \frac{1}{3}x+1[/tex]

Hence,

Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:

[tex]y = \frac{1}{3}x+1[/tex]

Solve using substitution.

x + y = 9
–5x + 3y = 19

Answers

Answer:

(1,8)

Step-by-step explanation:

please mark me as brainliest thank you

HELP ASAP!!!!!!!

PLS I NEED THIS TURNED IN IN 10 MINS

Answers

Answer:

slope = 2

y-int = 3

Step-by-step explanation:

y-intercept can be determined by the coordinate (0,3) which is 3 units up from origin on the y-axis

slope can be determined by taking the difference of a pair of y-values and dividing it by the difference of the x-values

ex,  3 - 1    = 2

     0 - (-1)      1

or:   5 - 3  = 2

        1 - 0        1

HELP! circle theorems question - 25 points

Answers

Answer:

120°

Step-by-step explanation:

∠A+∠C = 180°

Or, 60° +∠C = 180°

Therefore, ∠C = 120°

Answer:

120

Step-by-step explanation:

hope that helps

Plzzzz helpppppppppp

Answers

Answer:

Its D

Step-by-step explanation:

You divide the fractions

Answer:

c

Step-by-step explanation:

Sarah brought a box of salt water taffy with 25 vanilla and 25 strawberry flavored pieces . What is the number of the possible outcome if she picks out 2 pieces of taffy

Answers

Answer:

The answer is 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(Exponential Models)

a.) Suppose you invest $500 in a savings account that pays 3.5% annual interest. How much will be in the account after 5 years?

$_ _ _ . _ _

b.) Suppose you invest $500 in a savings account that pays 3.5% annual interest. When will the account contain at least $650?

After _ years.

Answers

A- 3.5 percent of 500 then divide that by 5
B- same thing just add then divide

48 cities three have a lake and 23 have a river running through them what fraction of these 48 cities have a lake or a river running through the show your work

Answers

3/48 + 23/48 = 25/48 25 cities have a lake/river going through them

Use the distributive property to evaluate the following expression: 9x (4 + 9)

Answers

Answer:

117x.

This is because since the 9 is outside the parenthesis, it applies to everything inside. 9x * 4 =36x and 9x * 9 =81x

36x+81x=117x.

Answer:

117x

Step-by-step explanation:

Gia opened two savings accounts at two diffrent banks. One account earns an annual 3.4% simple interest, and the other earns half as much. If she deposited $509 in each account, how much total interests will sh have earned in 3 years? A:$153.00 B:$38.25 C:$76.50 D:$51.00

Answers

Interest from first account is :

[tex]I_1 = \dfrac{p\times r \times t}{100}\\\\I_1 = \dfrac{509\times 3.4\times 3}{100}\\\\I_1 =\$ 51.918[/tex]

Interest form second account is :

[tex]I_2 = \dfrac{p\times r\times t}{100}\\\\I_2 = \dfrac{509\times 1.7\times 3}{100}\\\\I_2 = \$25.959[/tex]

So, total interest is :

[tex]I = I_1 + I_2 \\\\I = 51.918 + 25.959\\\\I = \$77.877[/tex]

Therefore, total interest is $77.877 .

What is the measure of an interior angle of a regular nonagon?

Answers

Each angle of a regular nonagon is of 140°. A nonagon in which all sides are not equal and all angles are not equal. The measure of it’s angles are different but total sum of all its interior angles is always 1260°.


i need help with a question.

Answers

The answer is x =-2

8 5/6 + 2 3/4 +__=14 this is fractions so the answer should be a fraction please help

Answers

Answer:

2 5/12

Step-by-step explanation:

8 5/6 + 2 3/4 = 8 10/12 + 2 9/12  =  10 19/12  =  10 + 1 7/12  =  11 7/12

13 12/12 - 11 7/12 = 2 5/12

Evaluate the follow expression. Use x = 3, y = 6
3 (x + y)

Answers

Answer:

3(x+y)=27

Step-by-step explanation:

3(3+6)

3(9)

27

Answer:

The answer to the question provided is 27

Step-by-step explanation:

x = 3

y = 6

3(x+y)

3(3+6)

3(9)

27

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