10% of £26 is equal to x% of £52. Calculate the value of x.

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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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Answer:

3 animals

Step-by-step explanation:

     --------------------------

         3x = 9

     2. divide both sides by 3

Answer:..Step-by-step explanation:

Answer:

Step-by-step explanation:

let the money in her purse be $x

1/3 of the money is 1/3x

Since his father gave him $5 and the total amount became $12

the expression for the total amount would be

12= 1/3x+5

We can now solve for x

12-5= 1/3x

1/3x= 7

cross multiply we have

x= 7*3

x= $21

Therefore the money in joes mother's purse is $21

Example :When we divide 50 by 100 we get 0.5 (a decimal number). So, to convert from percent to decimal: divide by 100, and remove the "%" sign.

Answer:

Option C - 0.03 cm

Step-by-step explanation:

The model has a length of 15 cm.

Now, we are told that the scale is 1:500. This means that 1 unit is represents 500 cm on the model.

Since the length on the model is 15 cm which is 15 units, then the true length would be;

15 × 1/500 = 0.03 cm

Therefore, the true length is 0.03 cm.

Option C is correct

Answer:

0.03 cm

Step-by-step explanation:

Answer:

n= 98/3

Step-by-step explanation:

1. Complete distributive property *5(n-14)* and *2(n+14)*

5n-70=2n+28

2. Subtract 5n from both sides

-70=-3n+28

3. Subtract -70 from both sides

-98=-3n

4. Divide the variable from both sides *-3n*

-98/-3

5. Simplify

98/3

Final Answer:

98/3

Answer: x=0

Step-by-step explanation:

(you are trying to find x)

4+10=-2(8x-7)

2+5=(8x+7)

7=(8x+7)

0=8x

x=0

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Answer:

90

Step-by-step explanation:

Find total marks needed for a 90.

90 x 4 = 360 marks

Then, add up the marks on the three tests.

83+91+86 = 260 marks

Finally, subtract from the 360 marks needed.

360 - 260 = 100

Thus, the student needs to score 100 marks in order to get a 90.

Answer:

one banana at the grocery store is 12 cents more than on banana at the market

Answer:  Any equation that is of the form y = -3/4x + b, where b is a real number, will be parallel to y = -3/4x - 2.

Step-by-step explanation:

A parallel line has the same slope as the original line.  Therefore, if the equation of the original line is y = mx+b, m (the slope) will remain the same, while b can change.

The equation  y = -3/4x - 2 has the same slope -3/4, represents a line which is parallel to the line y=-3/4 x -2

A function that can be represented in the form of y =mx +c, is called a Linear Function. where m is the slope and c is the y-intercept.

The slope of the given line can be found as;

A parallel line has the same slope as the original line.  Thus, if the equation of the original line is y = mx+b, m (the slope) will remain the same, while b can change.

Any equation that is of the form y = -3/4x + b,

where b is a real number, will be parallel to the equation.

y = -3/4x - 2.

m = -3/4

The equation  y = -3/4x - 2 has the same slope -3/4, represents a line which is parallel to the line y=-3/4 x -2

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Answer:

p =− 2

q = 5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

p =− 2

q = 5

Answer:

q = 5

p = -2

Step-by-step explanation:

I'm gonna use elimination

2p + 5q = 21  Multiply 3 ------> 6p +15q = 63

3p - 2q = -16  Multiply 2 -------> 6p -4q = -32

 6p +15q = 63

 6p -4q = -32                                                                                                                  -__________

19q = 95

q = 5

To find P use any of the equations and substitute q to 5

3p -2(5) = -16

3p -10 = -16

3p = -6

p = -2

Answer:

x=3

Step-by-step explanation:

Answer:

[tex]\boxed {\tt x=3}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]5x-2=3x+4[/tex]

We want to solve for x, therefore we must isolate x on one side of the equation.

First, move all the constants to one side of the equation. 2 is being subtracted from 5x. The inverse of subtraction is addition. Add 2 to both sides.

[tex]5x-2+2=3x+4+2[/tex]

[tex]5x=3x+4+2[/tex]

[tex]5x=3x+6[/tex]

Next, move all the terms with variables to one side. 3x is being added to 6. The inverse of addition is subtraction. Subtract 3x from both sides.

[tex]5x-3x=3x-3x+6[/tex]

[tex]5x-3x=6[/tex]

[tex]2x=6[/tex]

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

[tex]\frac{2x}{2} =\frac{6}{2}[/tex]

[tex]x=\frac{6}{2}[/tex]

[tex]x=3[/tex]

x is equal to 3 and the correct answer is D. x=3

Answer

-8x^2+14x+14

Step-by-step explanation:

instructions included above :)

Answer:

-2(4x-3)(x-1)

or -8x²+14x-6

Step-by-step explanation:

(-8x²+10x+4)-(-4x+10)

-8x²+10x+4+4x-10

Combine like terms:

-8x²+14x-6

Answer:

5 degrees below zero = -5 degrees

Answer:

1.5<x<4 i hope this is right sorry if its not

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

the answer is 4.6 because I divided it

The quotient of the division are solved and A = 9.5/2 = 4.75

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the numerator of the fraction be p

where the value of p =  9.5

Let the denominator of the fraction be q

where q = 2

Now , the fraction is A = p/q

On simplifying the expression , we get

So , the left hand side of the equation is equated to the right hand side by the value of p/q

A = 9.5/2

On further simplification , we get

A = 4.75

Therefore , the value of A = 4.75

Hence , the fraction is A = 4.75

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Answer:

its like a 3d rectangle triangle

Step-by-step explanation:

yes

Answer:

I believe it would be A

Step-by-step explanation:

Answer:

we know

perimeter of triangle = sum of all sides

here lengths of sides are consecutive integers so

length  of three sides = x, (x+1) and (x+2)

now

Perimeter = 111

or,  x + (x+1) + (x+2) = 111

or 3x + 3 = 111

or 3x = 108

x = 36

x = 36

(x+1) = 36 + 1 = 37

(x+2)= 36 + 2 = 38

Answer:

$9.45

Step-by-step explanation:

1.  First, you want to figure out how much one text message costs.  To do this, divide the dollar amount (28.20) by the number of text messages (188).  You get 0.15, or $0.15 per text message.

2. Using this $0.15 per text message, you can calculate how much 63 text messages costs.  You simply multiply $0.15 by 63 to get $9.45, which is your answer.

Hope this helps! :)

Answer:

the answer to the question above is 42

Step-by-step explanation:

5(6+3)-3=42

Answer:

42!

Step-by-step explanation:

5(6+3)-3

30+15-3

45-3

42!

Hope I helped! :D

Answer:

X= 19

Step-by-step explanation:

If you take 4 away from 19, it equals 15, the perimeter is all sides of the square. Which is 4 sides, 15 x 4 = 60 or 15+15+15+15. The formula for perimeter is all the sides added together.

Answer:

 3=f

Step-by-step explanation:

3(6-f)-4=3f-4

18- 3f=3f-4

14-3f=3f-4

14=6f-4

18=6f

3=f

Answer:

f=3

Step-by-step explanation:

Step-by-step explanation:

[tex] \huge \: K = \frac{1}{2} m {v}^{2} \\ \\ \huge \: 2 K =m {v}^{2} \\ \\ \huge \purple{ \boxed{m = \frac{2 K}{ {v}^{2} } }}[/tex]

Answer:x=0

Step-by-step explanation:

Answer:

0 = 0

True

Step-by-step explanation:

[tex]8 + 4x = 2x + 8 + 2x[/tex]

Collect like terms

[tex]8-8 =2x+2x -4x\\[/tex]

Simplify

[tex]8-8 =0\\2x+2x =4x\\4x -4x =0\\\\0=0[/tex]

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,6) and (10,4).

The distance is

We have the final answer as

Hope this helps you

Answer:

158 cm2

Step-by-step explanation:

surface area = (6×5)+2(8×5)+(8×6) = 158 cm2