When can you use proportional reasoning to solve a problem? A: When two quantities add to 1 B: When one quantity is a constant multiple of the other C: When the two quantities multiplied equal a constant D: When one quantity is 1 more than the other

Answers

Answer 1

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;

d = v·t

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;

Proportional reasoning can be used to solve a problem in which one quantity is a constant multiple of the other.

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Answer 2

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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Related Questions

A solution of salt and water contains 70 grams of water per 140 milliliters of the solution. If 1 mole of water weighs 16 grams, moles of water would be present in 35 milliliters of the solution. [Round off your answer to two decimal places] (4 points)

Answers

Answer:

1.09 moles.

Step-by-step explanation:

There is 70g of water in 140ml of solution.

This means there are 17.5g of water in 35ml of solution. (Divide by 4)

In 17.5g of water, there are 17.5/16 = 1.09 moles of water.

M is the midpoint of RT. RM = 5x + 9 and MT = 8x - 36. Find x, RM, MT, and RT. = .​

Answers

I hope this helps. If you need more help just message me

The values of x, RM, RT, and MT are 15, 84, 168, and 84 respectively.

What is a System of equations?

simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given a system of equations Where RM = 5x + 9 and MT = 8x - 36.

Since,

M is the midpoint of RT

Thus,

RM = MT

5x + 9 = 8x - 36

3x = 45

x = 15

So,

1) RM = 5x + 9

RM = 75 + 9 = 84

2) MT = 8x -36

MT = 120 - 36 = 84

3) RT = RM + MT

RT = 84 +84 = 168

Therefore, The values of x, RM, RT, and MT are 15, 84, 168, and 84 respectively.

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6+7m<6m or 3m-7<5+6m

Answers

Step-by-step explanation:

6+7m<6m or 3m-7<5+6m

6<7m+6m or 3m-6m<5+7

6<13m or -3m<13

m<13/6 or m<13/-3

m<2.16 or m<-4.333

m<2.2 or m<-4.34

Question 1 of 21
What is the greatest common factor of the polynomial below?
20x3 - 14x
O A. 2x2
O B. 2x
O C. 6x²
O D. 6x

Answers

The answer is b 2x...

The common factor for the given polynomial is 2x.

What is factor?

A factor is a number that divides another number, leaving no remainder.

Given is a polynomial, 20x³-14x

20x³-14x

= 2x(10x²-7)

Hence, the common factor for the given polynomial is 2x.

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9.375, 9.75, 9.125 or 9.5 can you help me list each one from greatest to least

Answers

greatest to least:

9.75, 9.5, 9.375, 9.125

Help me plz I don't understand this

Answers

Answer:

D. [tex]y = 2x[/tex]

Step-by-step explanation:

A proportional relationship is represented by the formula [tex]y = mx + b[/tex].

m = the slope, which is  [tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex].

b = the y-intercept, the point where the line crosses the y-axis. We actually don't have to worry about the [tex]+ b[/tex] part of the formula because [tex]b = 0[/tex], so it can be left out.

To find the slope, use [tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]. Subtract the smaller y value (2) from the larger y value (6).

(6 - 2 = 4)

Then subtract the smaller x value (1) from the larger x value (3).

(3 -  1 = 2)

So it looks something like this now:

[tex]\frac{6-2}{3-1}[/tex] , which equals [tex]\frac{4}{2}[/tex]

Then you divide the top part of the fraction (4) by the bottom part. (2).

[tex]\frac{4}{2}[/tex] = 2. The slope (m) is 2.

So the final equation is [tex]y=2x[/tex].

John can was 14of a car in 1 minute. How many cars can he wash in 19 minutes??

Answers

i'm assuming you mean he can wash 14 cars in one minute?

anyway the answer would be 266 but i'm pretty sure that's impossible. sorry if this isn't what you meant; try rephrasing the question :)

20 because I put 20


[tex]8 + 3 \times 4[/tex]
idk the answer

Answers

Answer:

20 is correct answer

Step-by-step explanation:

8+3×4

=8+12

=20

Remember always follow bodmas rule

hope it helped you:)

thanks!

Answer :

20

Just apply BODMAS rule and your good

Hope it helps

arun bought a pair of skates at a sale where the discount given was 20%.if the amount he pays is $1600 find the market prize

Answers

Answer:

$1280

Step-by-step explanation:

(20x1600)/100= 20% of 1600=

320

1600-320=1280

Solving Absolute Value Equations: Solve 4|x+7|+8=32

Answers

here’s if you need it written out

The area of max'ss room ,not incleding his closet is 235.675 square feet the area of his closet is 10.45 square feet what area of his room ,including the closet

Answers

Given :

Area of room excluding closet is , [tex]a=235.675\ ft^2[/tex] .

Area of closet is , [tex]b=10.45\ ft^2[/tex] .

To Find :

Area of max's room including the closet .

Solution :

Let , area of max's room including the closet is A .

So , Total area = Area of room excluding closet + Area of closet .

[tex]A=a+b\\\\A=(235.675+10.45)\ ft^2\\\\A=246.125\ ft^2[/tex]

Therefore , area of his room ,including the closet is 246.125 square feet .

Hence , this is the required solution .

Solve for h
3/7=h/14-2/7

Answers

Answer:

h =10

Step-by-step explanation:

3/7 = h/14 -2\7

3/7 = 1/14 h + -2/7

1/14 h + -2/7 = 3/7

1/14 h + -2/7 +2/7 = 3/7 + 2/7

1/14 h = 5/7

14 * ( 1/14h) = 14* (5/7)

h =10

what is the value of x if segment BC is 2x+4 and line Ac is 24

Answers

Greetings from Brasil

Let us call the distance AB of Y (in the problem nothing is said about this dimension, so lets call of Y).

From the attached drawing we can conclude that:

AB + BC = AC

where

  AB = Y

  BC = 2X + 4

  AC = 24

then

AB + BC = AC

Y + (2X + 4) = 24

X = (20 - Y)/2

In my view this question is incomplete

When Mya looked out at the store's parking lot, she noticed that for every 4 cars, there were 6 trucks. If there's a total of 220 vehicles in the parking lot, how many of them are cars, and how many of them are trucks?

Answers

Answer:

88 cars132 trucks

Step-by-step explanation:

This is a ratio problem, the ratio of  cars to trucks

for every 4 cars, there are 6 trucks

represented as a ratio we have 4:6

1. how many of them are cars

applying the part to whole strategy we have

4+6 = 10

let cars be x

[tex]\frac{4}{10}= \frac{x}{220} \\\\x= \frac{220*4}{10} \\\\x= 880/10\\\\x= 88 cars[/tex]

2.  how many of them are trucks?

let trucks be y

[tex]\frac{6}{10}= \frac{y}{220} \\\\x= \frac{220*6}{10} \\\\y= 1320/10 \\\\y= 132 trucks[/tex]

Write an algebraic expression for each verbal expression: 1.) The product of 5 and twice a number x, decreased by the product of 3 and that same number. 2.) Twice the sum of a number x, and another number y, increased by the product of the first number squared and 8

Answers

Answer:

1) (5 times 2x) - (3 times 2x)

2) x+y) times 2 + (x*2 times 8)

explanation:

for "times" put a multiplication sign and the astric ( * ) is for the exponent or meaning "to the power of"  :)

The first equation will be formed as:  [tex](5 times 2x) - (3 times 2x)[/tex]

The second equation will be performed as [tex](x + y) times\ 2 + (x*2 \ times 8)[/tex]

What is multiplication?

When you take a single number and multiply it by several, you are multiplying. There are a number of distinct indications of amplification that people utilize. The "x" sign represents the most typical, however other symbols like the "*" sign are also occasionally used.

1.) The composition of 3 and that identical number, multiplied by 5, lowered by the products of 5, and double that amount will be represented as (5 times 2x) - (3 times 2x)

2.) The product of the square root of the first variable and eight times a quantity x and a quantity will be represented as (x+y) times 2 + (x*2 times 8)

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What is the sum of the following? 16x+4x+9y=?

Answers

Answer: The answer would be 20x+9y

Step-by-step explanation: I need a brainliest please!!!

Solve for a :3a = 4.2

Answers

Answer:

3 * 1.4 = 4.2

A circle has a radius of 7 inches. What is the area of the circle? Use 3.14 for p.
(Area of a circle = pr2)

Answers

Answer:

The answer is

153.86 sq. inches

Step-by-step explanation:

Area of a circle is given by

A = πr²

where r is the radius of the circle

From the question

r = 7 inches

So the area of the circle is

A = 3.14(7)²

= 3.14 × 49

We have the final answer as

153.86 sq. inches

Hope this helps you

Here, we are given with a circle whose radius = 7 inches, and we are asked to find the area of the circle. Taking value of π = 3.14

We know,

Area of the circle = πr²

Here,

π = pi (An irrational number used for curves)r = radius of the circle

So, let's find the area,

➝ Area of the circle = πr²

➝ Area of the circle = 3.14 × 7²

➝ Area of the circle = 3.14 × 49

➝ Area of the circle = 153.86 inch²

Hence, Area of the circle:

[tex] \huge{ \boxed{ \bf{153.86 \: {inch}^{2} }}}[/tex]

And we are done !!

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

help me plz if u get it correct i will mark

Answers

Answer:

i wish i could

Step-by-step explanation:

Answer:

32+(6w)

Step-by-step explanation:

add 32 that he already recorded plus 6 times w for however many more weeks he records for

X. 3^2+x = 5 * 4 - X *


Your answer

Answers

Answer:

chicken

Step-by-step explanation:

pizza and fries and boom your done theres your answer I hope i helped you a lot!

Answer:

X= 11/2

Step-by-step explanation:

NEED HELP ASAP WHOEVER GETS RIGHT I WILL GIVE BRAINLIEST

Answers

Answer:

D

Step-by-step explanation:

y2 is the y to the right, and -6 is to the right of -8 on the x-axis, so (x2, y2) = (-6,52). plug in the values and you get (52-48)/(-6--8), which equals 4/2, which simplifies to 2.

Answer:

D. 2

Step-by-step explanation:

See image for explanation

-25x =10 step by step

Answers

Answer:

x=-0.4

Step-by-step explanation:

Start with -25x=10

Divide each side by -25 using the Division Property of Equality to isolate x

x=-0.4

I hope this helps!

Answer:

Value of [tex]x[/tex] :

[tex]x = -\frac{2}{5}[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex] :

[tex]-25x = 10[/tex]

-Take [tex]25x[/tex] and divide it on both sides of the equation:

[tex]\frac{-25x}{-25} = \frac{10}{-25}[/tex]

[tex]x = -\frac{2}{5}[/tex]

So, the value of [tex]x[/tex] is [tex]-\frac{2}{5}[/tex].

What is the angle of x?

Answers

Answer:

Step-by-step explanation:

There are 540 degrees in a pentagon so take 540-(everything there)= 67

30 POINTS PLEASE HELP THIS IS DUE TMRRRR

Jane and Tony were given the following expression: -2 (3x - y)^2. Jane translated it to say" the product of -2 and the difference
between three times a number and a number squared". Tony translated it to say "-2 times the difference of three times a number and the
square of a different number".
1. Whose translation is correct?

Answers

Answer:

I think Tony would be right, I THINK!!

i think tony is corrected because jane said “product of -2” which means answer to a multiple problem

A container holds an unknown number of pints of water. Let p represent this unknown amount. Nari pours three-fourths of this volume into an empty pot. She then adds another 2 pints of water. The pot now holds a total of 11pints of water. Set up and solve an equation to find the value of p.

Answers

Answer: 12

Step-by-step explanation:

Let p represent this unknown amount.

Nari pours three-fourths of this volume into an empty pot. This can be written as:= 3/4 × p = 3/4p = 0.75p

She then adds another 2 pints of water and the pot now holds a total of 11pints of water. This means we will add 2 to 0.75p and equate to 11. This will be:

0.75p + 2 = 11

0.75p = 11 - 2

0.75p = 9

p = 9/0.75

p = 12

P equals to 12

This question is based on solving linear equation.Therefore, the answer is 12 pints of total amount of water.

Given:

Nari pours three-fourths of this volume into an empty pot.She then adds another 2 pints of water. The pot now holds a total of 11 pints of water.

Let the unknown amount of pints of water is  p.

According to the question,

She pours three-fourths of this volume into an empty pot. This can be written as:

[tex]\dfrac{3}{4}\times p= \dfrac{3}{4} p = \bold{0.75p}[/tex]

She add on  2 pints of water  to 0.75 p in pot, then it becomes  total of 11 pints of water.

In ,mathematically expressed as,

[tex]\begin{alligned}0.75p+2&=11\\0.75p&=11-2\\0.75p&=9\\p&=\frac{9}{0.75}\\\bold{p&=12}\end{alligned}[/tex]

Therefore, there is total amount of 12 pints water.

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Multiply and simplify:
(2x + 8)
A)
2x2 +64
B)
4x? + 64
C)
4x2 + 32x + 64
D)
4x2 + 16x + 16

Answers

What is the outside number

Answer:

A. 2x+8

Step-by-step explanation:

you take the two and multiply it to the X and the eight and that would give you 2X2 + 64

Pls Help me with ths question​

Answers

Answer:

Step-by-step explanation:

x=√(5+2√6)/(5-2√6)

x²(x-10)²=1

substitute the value of x in the equation

[√(5+2√6)/(5-2√6)]²(√(5+2√6)/(5-2√6) -10)²=

solve :

(49+20√6)(49-20√6)=1     multiply

1=1 proved

Two digit-
The sum of my digits is equal to nine.
My tens digit is even.
The difference between my units digit and my tens digit is equal
to one.

Answers

Let the number = 10x+y

x+y = 9

y-x = 1

(x+y)+(y-x) = 9+1

2y = 10

y = 10/2

y = 5

x+y = 9

9-y = x

x = 9 - 5

x = 4

So, your number is 45

... Hope this will help...

If A is an odd integer and B is an odd integer, is A*B sometimes, always, or never odd? Explain

Answers

Answer:

Always

Step-by-step explanation:

In order for an integer to be even, one of the factors must be 2.  Otherwise, it is odd.

If A is an odd number, it does not have a factor of 2.

If B is an odd number, it also does not have a factor of 2.

Therefore, AB also does not have a factor of 2, so it is always odd.

Jasmine bought two dozen roses for $31 .20.How much did she pay per rose?

Answers

Answer:

Step-by-step explanation:

$31.20/24

24 roses = 2 dozen roses

Each rose cost $1.30

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