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Proportional reasoning is a form of 'operational reasoning' based on

Piaget's theory.

Proportional reasoning can be used to solve a problem; B. When one

quantity is a constant multiple of the other.

Reasons:

Proportional reasoning is the reasoning based on the cognition that a

relationship exists between the multiples of the variables in the problem,

such that the magnitude of a variable can implied from the changes made

to the relationships connecting the variables.

An example of proportional reasoning is the distance travelled, d, after a

given time, t, at a constant velocity, v;

To judge the distance travelled, a constant, v,  multiplies the time, t, such

that, at a longer time, it can be reasoned that the distance travelled is

much further.

Therefore;

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Options B and C are the correct conditions under which you can use proportional reasoning to solve a problem:

Proportional reasoning is a mathematical concept that involves understanding and solving problems that relate two or more quantities in a proportional manner. It helps us analyze and predict how changes in one quantity affect another based on their proportional relationship.

B: When one quantity is a constant multiple of the other:

In this case, if one quantity is a constant multiple of another, it means that they are directly proportional. For example, if the quantity of oranges you buy is always twice the quantity of apples you buy, then the quantities of oranges and apples are directly proportional. Proportional reasoning can be used to solve problems related to this relationship.

C: When the two quantities multiplied equal a constant:

If the product of two quantities remains constant, regardless of their individual values, they are inversely proportional. For instance, if the time taken to complete a task is inversely proportional to the number of people working on it, as the number of people increases, the time taken decreases. Proportional reasoning can be used to solve problems involving inverse proportionality.

In summary, proportional reasoning is used when two quantities are directly or inversely proportional to each other, i.e., when one quantity is a constant multiple of the other or when the product of the two quantities remains constant.

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Step-by-step explanation:

[tex] - 9 + 6p = 5p[/tex]

[tex]6p - 5p = 9[/tex]

[tex]p = 9[/tex]

is the answer.

The things to Note:-

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Answer:

ten billionths place

Step-by-step explanation:

Answer:

Austin answered 7 questions incorrectly.

Answer:

to be parallel

slope should be equal

for first question

y=1/3X +2

comparing with y=m1x+c

slope = 1/3

similarly for second equation

y=1/3x -4

comparing with y=m2x + c

m2= 1/3

since m1=m2

lines are parallel

Answer:

11.9985

Step-by-step explanation:

79.99 x .15 = 11.9985

i cant understand your question define briefly

Answer:

5

Step-by-step explanation:

if you subtract both of them in absolute value, you would get 5.

Also, if you take away the negatives, you would get your answer.

Answer:

1

Step-by-step explanination

The distance between -3 and -2 is one

-3-(-2)= -1

subraction sign turns to a positive and so does -2

4

Step-by-step explanation:

Answer:

The answer would be -1/9. The decimal form would be -0. 111111. Hope this helped, and if it did, please like the answer and rate it. ty! :)

Answer:

-  1    

    9

Step-by-step explanation:

-     2      

  3  *   6  

- 2    

  18

= -  1    

      9

Answer:

No

Step-by-step explanation:

It is not a function because the x should never repeat the y can but not the x.

Answer:

not a function

Step-by-step explanation:

Answer:

sin22=x/11

0,374×11=x

x=4,12

Step-by-step explanation:

Answer: c = 12 - 2t

Step-by-step explanation:

Use exponent rule: x^y * x^z = x^y+z

4^2 * 4^8

4^2+8

4^10

1,048,576

Best of Luck!

Answer:

3

Step-by-step explanation:

Using PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction), You do 8/2 first, which equals 4, then add 3 which turns 4 into a 7, then finally subtract 4 and your final answer is 3.

Answer:

3

Step-by-step explanation:

I took the test >.<

Answer:

Step-by-step explanation:

V = l · w · h

V = (412)(312)(6)

V = (1872)(412)= 771,264 cm^3

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{771264 \: \: {cm}^{3} }}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: length \: of \: a \: rectangular \: prism(l) = 412 \: cm}}[/tex]

[tex] \star{ \sf{ \: width \: of \: a \: rectangular \: prism \: ( \: w \: ) = 312 \: cm}}[/tex]

[tex] \star{ \sf{ \: height \: of \: a \: rectangular \: prism \: ( \: h \: ) = 6 \: cm}}[/tex]

Finding the volume of a rectangular prism having length ( l ) of 412 cm , width ( w ) of 312 cm and height ( h ) of 6 cm :

[tex] \bold{\boxed{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}}[/tex]

[tex] \hookrightarrow{ \sf{volume \: of \: a \: rectangular \: prism \: = 412 \times 312 \times 6}}[/tex]

[tex] \hookrightarrow{\boxed{ \sf { volume \: of \: a \: rectangular \: prism = 771264 \: {cm}^{3} }}}[/tex]

Volume of a rectangular prism = 771264 cm³

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

A = 8 + 2x

Step-by-step explanation:

Variables:

A = Books Abby has read

x = Books Kristen has read

Answer:

The anwser is option 2

Step-by-step explanation:

0.941941 converted to a simplified fraction is 941941/1000000

Answer:

p=6

Step-by-step explanation:

-9p=6- 10p

-9p+10p=6

1p=6

p=6/1

p=6

Answer:

Step-by-step explanation:

(-3.1 - 4.92)/2 = -8.02/2 = -4.01

(-2.8 - 3.3)/2 = -6.1/2= -3.05

(-4.01. -3.05) the midpoint

|4x + 4| = 15

First, let's get rid of the absolute value signs to get the first solution.

4x + 4 = 15

Subtract 4 from both sides

4x = 11

Divide each side by 4

x = 11/4 or 2.75

Now, let's get the solution by changing 15 to -15.

4x + 4 = -15

Subtract 4 from both sides

4x = -19

Divide both sides by 4

x = -19/4 or -4.75

Answer: line k is the segment bisector and the distance between RS is 34

Answer:x=3

Given: angle B = angle D

So, 8x-4=2x+14

8x-2x=14+4

6x=18

Therefore, x=3

Answer:

1,296

Step-by-step explanation:

36 pages x 6 cards a page = 216 cards per binder

216 cards x 6 binders = 1296

The number of baseball cards Sam collected will be 1,296.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that sam collects baseball cards he has 6 binders full of cards each page in the binder holds six cards and each binder has 36 pages.

The number of cards will be calculated as:-

36 pages x 6 cards a page = 216 cards per binder

216 cards x 6 binders = 1296

Hence, the number of cards will be 1,296.

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Answer:

[tex]2c - 3[/tex]

Step-by-step explanation:

[tex]3c - \frac{1}{3} = \frac{c}{2} = 2c - \frac{1}{3} (2) = 2c - \frac{2}{6} = 2c - 3[/tex]

Answer:

b = 48 °, c = 46°

Step-by-step explanation:

c = 46 ° as between parallel lines, alternate opposite angles are equal.

since opposite angles are equal 94 ° = 46 ° + additional angel

therefore b = 94° - 46 ° = 48 ° , as sum of 2 internal angles of a triangle is equal to opposite exterior angle.