Mary brought chocolate and vanilla cupcakes to school for her birthday. 21 students picked a vanilla cupcake and 7 students picked a chocolate cupcake. What percentage of the students picked a vanilla cupcake?

Answer:

72

Step-by-step explanation:

Round to nearest whole number.

71.8 is rounded to 72.

72 is the answer to your question.

Demitrius deposited $41.67, which was 60% of his paycheck.

Using this, we can make an equation.

If x is the amount of his paycheck,

[tex]0.6x=41.67[/tex]

[tex]x=69.45[/tex]

The value of the paycheck was $69.45.

Hope this helps.

頑張って!

Hey there! I think the answer is (-1,3)

Answer:

Options A, C and D.

Step-by-step explanation:

It is given that, we need 1 tablespoon of butter for every 6 eggs to make a quiche.

Ratio that compares these two quantities [tex]=\dfrac{6\text{ eggs}}{1\text{ tablespoons} }[/tex]

We need to find the ratios which are equivalent to this ratio.

[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{2}{2}=\dfrac{12\text{ eggs}}{2\text{ tablespoons} }[/tex]

[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{3}{3}=\dfrac{18\text{ eggs}}{3\text{ tablespoons} }\neq \dfrac{15\text{ eggs}}{3\text{ tablespoons} }[/tex]

[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{4}{4}=\dfrac{24\text{ eggs}}{4\text{ tablespoons} }[/tex]

[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{1.5}{1.5}=\dfrac{9\text{ eggs}}{1.5\text{ tablespoons} }[/tex]

Therefore, the correct options are A, C and D.

Answer:

A,C,D

HOPE THIS HELPS!

Answer:

2n - 3

Step-by-step explanation:

The difference of implies a subtraction between two terms.  Two times a number, implies some number being multiplied by two.  Hence, we can build the expression:

2n - 3

Where n represents the unknown number.

Cheers.

Answer:

Variance = 0.1645

Standard deviation = 0.4056

Step-by-step explanation:

Kindly check attached picture for detailed explanation

Answer:

perimeter: 14

Area: 10

Step-by-step explanation:

PERIMETER

2x(L+B) = 2x(5+2) = 2x(7) = 14

AREA

LxB = 5x2 = 10

PLEASE MARK ME BRAINLIEST

Answer:

– 2

Step-by-step explanation:

From the question given above, the following data were obtained:

P(x) = polynomial

P(–5) = – 2

P(5) = –1

Remainder when P(x) is divided by

(x + 5) =?

To obtain the remainder when P(x) is divided by (x + 5), we shall apply the reminder theorem as follow:

Let (x + 5) be equal to 0

(x + 5) = 0

x + 5 = 0

Subtract 5 from both side

x + 5 – 5 = 0 – 5

x = –5

Replace x in P(x) with –5 as shown below:

P(x) = polynomial

x = – 5

P(–5)

From the question given above,

P(–5) = – 2

Therefore, when P(x) is divided by

(x + 5), the remainder is – 2.

Answer:

the EOQ cost function [tex]\mathbf{g(Q)= \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}}[/tex]

Step-by-step explanation:

Given that:

[tex]g(Q) = \dfrac{h}{2 \lambda Q} \begin {pmatrix} Q- \sqrt{\dfrac{2 K \lambda}{h}} \end {pmatrix}^2 + \sqrt{\dfrac{2 Kh}{\lambda}}[/tex]

Total cost = Purchase Cost + Ordering Cost + Holding Cost

i.e

T = [tex]P \lambda + h \dfrac{Q}{2}+\dfrac{\lambda K}{Q}[/tex]

By differentiating with respect to Q and equating to zero, we have:

[tex]0 = 0 +\dfrac{h}{2}- \dfrac{\lambda K}{Q^2}[/tex]

[tex]Q* = \sqrt{\dfrac{2 k \lambda}{h}}[/tex]

Now;

[tex]T = P \lambda + \dfrac{h}{2Q}(Q-Q^*)^2 + hQ^*[/tex]

[tex]T = \dfrac{h}{2Q}(Q- \sqrt{\dfrac{2 \lambda K}{h}})^2 + \sqrt{2 hK \lambda } + P \lambda[/tex]

[tex](\dfrac{T - P \lambda}{\lambda }) = \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}[/tex]

Therefore:

the EOQ cost function [tex]\mathbf{g(Q)= \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}}[/tex]

Answer:

x = y - rd + c

Step-by-step explanation:

x - c = y -rd

x = y - rd + c

Answer:

-13

Step-by-step explanation:

Simplify the following:

6^2 - 3×3^2×2 + 5

3^2 = 9:

6^2 - 3×9×2 + 5

9×2 = 18:

6^2 - 318 + 5

6^2 = 36:

36 - 3×18 + 5

-3×18 = -54:

36 + -54 + 5

| 1 |  

| 3 | 6

+ | | 5

| 4 | 1:

41 - 54

41 - 54 = -(54 - 41):

-(54 - 41)

| 5 | 4

- | 4 | 1

| 1 | 3:

Answer:  -13

Answer:

52 square in

Step-by-step explanation:

x2 is 25 by 50

The area of the new rectangle in terms of x is  2x² - 3x + 1 sq inches.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

We know the area of a rectangle is (length×width).

Given,  A paper with a width of x inches, and a length of 2x inches.

So, The area is (x×2x) sq inches.

= 2x² sq inches.

Now, he cut off one inch of both the length and the width which is,

= (x - 1)(2x - 1) sq inches.

= 2x² - x - 2x + 1 sq inches.

= 2x² - 3x + 1 sq inches.

learn more about rectangles here :

https://brainly.com/question/29123947

#SPJ2

Answer:

Mark is 42. 3J = M and J + M = 56

Step-by-step explanation:

Since Mark is 3 times as old as Julie, and the sum of their ages is 56, you could divide 56 by 4 (one time because of Julie’s age, the other 3 times because of how many times Mark is older than Julie) You would get 14. That means that Julie is 14. To find Mark’s age, you would multiply 14 (Julie’s age) by 3. The answer would be 42.

Answer: Tenias 1 3/8 de litros.

Step-by-step explanation:

Necesitas de sumar lo que quedo y lo que uso Gerardo, pero el 8 y el 4 necesitan de ser iguales. Si multiplicas 4x2 te da 8 y serían iguales. As lo mismo con el tres: 3x2 y te da 6. Suma el 6 por 5 y te da 11/8. Simplifica y te dará 1 litro y 3/8.

Answer:

Not always but sometimes

Step-by-step explanation:

The product of two irrational numbers is sometimes and not always an irrational number.

So, Let us take two Example:

Example # 1:

Let the two irrational numbers be [tex]\sf \sqrt{37} \ and \ \sqrt{2}[/tex]

So, Multiplying these will give us

=> [tex]\sf \sqrt{37} * \sqrt{2}[/tex]

=> [tex]\sf \sqrt{74}[/tex]

Which is an irrational number.

Example # 2:

Let the two irrational numbers be [tex]\sf \sqrt{2} \ and \ \sqrt{2}[/tex]

So, Multiplying them would give us:

=> [tex]\sf \sqrt{2} * \sqrt{2}[/tex]

=> [tex]\sf (\sqrt{2} )^2[/tex]

=> 2

Which is a rational number.

This means that the product of two irrational numbers is not always an irrational number but sometimes an irrational number.

Answer:

Thus, when both S-jams and C-tunes have 20 songs downloaded in a month  , the cost will be same.

an expression for the cost of S-Jams $0.99n + $16

Step-by-step explanation:

For

S-Jams

cost of 1 song = $1.29

let there be n songs downloaded in a month

then

cost of n songs = n*cost of 1 song  = $1.29n

monthly fee = $10

Total cost of S-Jams = $1.29n+$10

________________________________________

For

C-Tunes

cost of 1 song = $0.99

let there be n songs downloaded in a month

then

cost of n songs = n*cost of 1 song  = $0.99n

monthly fee = $16

Total cost for C-Tunes= $0.99n + $16

we have to find When will the company’s plans cost the same.

Total cost of S-Jams = Total cost of C- Tunes

1.29n+10 = 0.99n + 16

=> 1.29n - 0.99n = 16-10

=> 0.30n = 6

=> n = 6/0.3 = 20

Thus, when both S-jams and C-tunes have 20 songs downloaded in a month  , the cost will be same.

an expression for the cost of S-Jams $0.99n + $16

Answer:

X=7

Step-by-step explanation:

4(x+3) - 10=6 ( x-2)

multiply

4x +12 - 10 = 6x - 12

4x + 2 = 6x- 12

subtract the positive 2 to the -12

4x = 6x -14

subtract 6x to the 4x

-2x = -14

divide -2 from the -14 (neg divided by a neg = positive)

x= 7

Answer:

[tex]x = \frac{15}{2} \\\\x =7\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]3\left(2x-1\right)=4x+12\\\\\mathrm{Expand\:}3\left(2x-1\right):\quad 6x-3\\6x-3=4x+12\\\\\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\\6x-3+3=4x+12+3\\\\Simplify\\6x=4x+15\\\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\6x-4x=4x+15-4x\\\\Simplify\\2x =15\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}=\frac{15}{2}\\\\Simplify\\x = 15/2[/tex]

Answer:

[tex]7\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]3(2x-1)=4x+12\\[/tex]

Use 3 to open the bracket

[tex]3(2x-1) = 6x -3\\\\ 6x-3 = 4x+12\\[/tex]

Collect like terms and simplify

[tex]6x-4x = 12+3\\2x = 15[/tex]

Divide both sides of the equation by 2

[tex]\frac{2x}{2} = \frac{15}{2} \\\\x = \frac{15}{2} = 7\frac{1}{2}[/tex]  

Answer:

the answer is 77°

Step-by-step explanation:

26 +51 is 77 and they're opposite angles

Answer:

Property of Equality

Y= -13/7

Step-by-step explanation:

7y – 15 = –29.

Applying rule of equality which is"anything done on one side of the equal sign should be done also on the other side of the equal sign"

7y – 15 = –29.

Adding 15 to both sides

7y - 15+15= -28+15

7y= -13

Dividing throughout by 7

7y/7= -13/7

Y= -13/7

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 4}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2x + 4 = 12}[/tex]

Move 4 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{2x = 12 - 4}}[/tex]

Subtract 4 from 12

[tex] \dashrightarrow{ \sf{2x = 8}}[/tex]

Divide both sides by 2

[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{8}{2} }}[/tex]

Calculate

[tex] \dashrightarrow{\sf{x = 4}}[/tex]

Hope I helped!

Best regards! :D

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]2x+4=12[/tex]

To solve this equation, first we must minus out(subtract) 4 from both sides of the equation.

[tex]2x+4-4=12-4[/tex]

This equals [tex]2x=8[/tex]

Now we will make this into a fraction and divide the sides by 2.

[tex]\frac{2x}{2}[/tex] equals to [tex]\frac{8}{2}[/tex]

Now we got an answer!

[tex]x=4[/tex]

Hope this helps!

Answer:

The missing number is:

22

Step-by-step explanation:

There are 3 numbers and one more

4 numbers and your average is 17

then:

17*4 = 68

then:

11 + 17 + 18 + a = 68

46 + a = 68

a = 68 - 46

a = 22

Check:

(22 + 11 + 17 + 18)/4 = 17

68/4 = 17

Answer:

No, I do not agree with them. Both are wrong.

Step-by-step explanation:

For a shape or figure to be considered a scaled copy of another, the length of all the segments of scaled copy must be equal to the length of all corresponding segments of the original figure multiplied by the same scale factor.

By examining the scaled copies B, C, and D, we would conclude that only D can be referred to as a scaled copy of D, because all the segments are exactly twice the corresponding segments of A. C and B do not have all its segment scaled in the same proportion.

Therefore, we cannot agree with Priya, nor Tyler. They are both wrong.

Answer: -6.5

Step-by-step explanation:

To find the number between them,find their average or mean .

-6 + -7 = -13

-13/2 = -6.5  

The number between them is -6.5

Answer:

r=2

Step-by-step explanation:

2r-6+5r=3-r+7

7r-6=10-r

7r+r=10-6

8r=16

r=2

Using the numbers you have :

6 to -2

-2 to 2

4 to 1

-1 to 1

This is a function.

An input can only have one output, but an output can have multiple inputs.

We can make a table with the values we are given.

6 and -2

4 and -1

2 and 2

-2 and 1

Since no x-value repeats itself, it is a function. To make a function, no x-values can be repeated.

Best of Luck!

Answer:

32x-5

Step-by-step explanation:

6x^2-4x-5

36x-4x-5

32x-5

Answer:

(2,10)

Step-by-step explanation:

The x value for the green segment starts at 2 and ends at 10