MATHEMATICS MIDDLE SCHOOL

What is the constant of proportionality in the equation y=5x

Answers

Answer 1

Answer:

Answer:

The constant of proportionality is 5

Step-by-step explanation:

The equation for direct variation is y = kx where k is the constant of proportionality

y =5x so k=5

Answer 2

Answer:

Answer:

Step-by-step explanation:

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mrs.diaz makes 5 dozen cookies for her class one ninth of her 27 students are absent the day she brings the cookies if she shares the cookies equally among the students who are present how many cookies will each student get. solve and create fraction word problems involving addition subtraction and multiplacation please help !!!!!!!

Answers

2¹/₂ cookies

Further explanation

Given:

Mrs. Diaz makes 5 dozen cookies for her class.
One-ninth of her 27 students are absent the day she brings the cookies.
She shares the cookies equally among the students who are present.

Question:

How many cookies will each student get?

The Process:

Step-1

Mrs. Diaz makes 5 dozen cookies for her class.

$\boxed{ \ 1 \ dozen = 12 \ units \ }$

$\boxed{ \ 5 \ dozen = ? \ units \ }$

$\boxed{ \ 5 * 12 = 60 \ cookies \ }$

Step-2

One-ninth of her 27 students are absent the day she brings the cookies.

$\boxed{ \ (1)/(9) * 27 \ students = 3 \students \ are \ absent \ }$

In diagram, $Total \ students: \boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3} = 27$

3 students are absent, that is $\boxed{3}$

So, the number of students present is 27 - 3 = 24 students, or $\boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3} = 24$

Step-3

And now, let's find out how many cookies will each student get.

$\boxed{ \ 24 \ students = 60 \ cookies \ }$

$\boxed{ \ 1 \ students = \ ? \ cookies \ }$

$\boxed{ \ 60 / 24 = (60)/(24) \ }$

$\boxed{ \ 60 / 24 = (60 / 12)/(24 / 12) \ }$

$\boxed{ \ 60 / 24 = (5)/(2) \ }$

Thus, each student get $\boxed{\boxed{ \ (5)/(2) \ or \ 2(1)/(2) \ cookies \ }}$

Learn more

How many cookies will each student get? brainly.com/question/328039
How many students are in each class? brainly.com/question/12251555
How many students are in the grade? brainly.com/question/1070972

Keywords: Mrs. Diaz, makes, 5 dozen cookies, for her class, one-ninth, of her 27 students, absent, the day, she brings, shares, equally, among, who are present, how many, will, each student get

I am bringing 5 dozen cookies to my class. There is 27 students in my class. Only 18 students are here. If there is 9 students absent , how many cookies will each student get ?

So firts you multiply 5 by 12 and that equals 60, than you subtract 27 and 9 and that equals 18, also you will multiply 18 by 60 and that equals 1080, lat but not least you will need to add 9 cookies and then you have 1089, you can divid 1089 by 18 and that equals 60 cookies for each student.
I hope this the right answer and I hoped this helped.

A bag holds 28 blue marbles and 49 red marbles. What is the ratio of red marbles to the total number of marbles in the bag? A) 7 to 11
B) 7 to 4
C) 4 to 7
D) 4 to 11

Answers

the answer to this question is A

Hi there, 28+49=77 total of marbles, 49 red marbles. 49:77, 49:77 simplified is 7:11, 7/11 and 7:11 is the same as 7 to 11. Therefore, the answer is A) 7 to 11

Can anyone please teach me how to work out x2-8x+19?

Answers

$x^2-8x+19=\nx^2-8x+16+3=\n(x-4)^2+3\n\n(x-4)^2+3=0\n(x-4)^2=-3\nx\in \emptyset$

The numerical factor of a term. In 5x, the 5 is the coefficient.Identities
Origin
Exponent
Coefficient

Answers

'5' is the numerical coefficient. 'X' is the literal coefficient.

He measures of the angles of △ABC are given by the expressions in the table.Angle Measure
A 48°
B (6x−28)°
C (2x)°

Find the value of x. Then find the measures of angles B and C.

Enter your answers in the boxes.

x =

m∠B=

m∠C=

Answers

The required measure angles B and C of are 92° and 40° and value of x = 25.

Given,

The measures of the angles in △ABC are 48°, (6x-28)° , (2x)°.

We have to find,

The value of x Then measures of angles B and C.

According to the question,

The sum of all internal angles in a triangle is always equal to 180°.

48° + 6x − 28° + 2x° = 180

8x + 20 = 180

8x = 180 - 20

8x = 160

x = 20

The required value of x = 20.

Then, The required angle are,

6x - 28 = 6(20) - 28 = 92°

And 2x = 2(20) = 40°

The required angles are 92° and 40° .

For more information about Triangle click the link given below.

brainly.com/question/2773823

You first have to find the value of x, which you can do by creating an equation as you know that all angles in a triangle add up to 180°:
6x - 28 + 48 + 2x = 180
8x + 20 = 180
- 20
8x = 160
÷ 8
x = 20
Now you can substitute it in:
Angle B = (6 ×20) - 28 = 120 - 28 = 92°
Angle C = 2 × 20 = 40°
I hope this helps!

Ingrit is buying a $97 coat. It is on sale for 30% off. What is the sale price of the coat?