Explain why the dividing-out method is incorrect. You may want to start with a simpler expression and work your way up to polynomials. (For example, compare fraction numerator 3 left parenthesis 5 right parenthesis over denominator 3 end fraction and fraction numerator 3 plus 5 over denominator 3 end fraction.)
Explain when you can cancel a number that is in both the numerator and denominator and when you cannot cancel out numbers that appear in both the numerator and the denominator.
Share tricks, reminders, memory devices, or other methods to help students catch themselves before making this common mistake.
Post your video or series of images. Post answers to the following questions:

A. Why do you think the mistake shown here is such a common one?
B. Have you ever made this mistake before? What helped you stop making this mistake? What will help you stop making this mistake in the future?

Given info:

A = { a,b,c,d }

B = {b,d,c,f}

Find the following :

1) AUB

2)AnB

3) n(A)

4) n(B)

5) n(AUB)

6) n(AnB)

Solution :-

Given sets are A = { a,b,c,d }

⇛ Number of elements in A = 4

⇛ n(A) = 4

B = {b,d,c,f}

⇛ Number be f elements in B = 4

⇛ n(B) = 4

AUB

⇛ {a,b,c,d} U { b,d,c,f}

⇛ {a,b,c,d,f}

AUB = {a,b,c,d,f}

⇛ Number of elements in AUB = 5

⇛ n(AUB) = 5

and

AnB = {a,b,c,d} n { b,d,c,f}

⇛ AnB = { b,c,d}

⇛ Number of elements in AnB = 2

⇛ n(AnB) = 2

Answer:-

1) AUB = {a,b,c,d,f}

2)AnB = { b,c,d}

3) n(A) = 4

4) n(B) = 4

5) n(AUB) = 5

6) n(AnB) = 3

72 hard candies

Step-by-step explanation:

You add 64 + 8 and you get 72 hard candies

Answer:

765%

Step-by-step explanation:

Hope this helps!

Answer:

57 268 900 square miles

Step-by-step explanation:

If you are asking for the total land surface but if you are asking for the total including the water it is, 196.9 million mi²

Answer:

150 million square kilometres and 51 million square kilometres

Step-by-step explanation:

1. 15 million square kilometres is approximately 10% of the world's land surface and the total land surface of the world is 100%, so we can multiply 15 million km² by 10 to get 100% which is 150 million km².

2. 34% of the world's land surface is covered by some form of desert so we would have to find 34% of 150 million km² which is 51 million km² (150 million × 0.34)

Hope this helps!

Answer:

m = 7

Step-by-step explanation:

2(m + 2) = 18

the first step is to distribute the 2 so we don't have parenthesis

2 x m = 2m and 2 + 2 = 4

now we're left with 2m + 4 = 18

we want to get m alone on one side so we have to subtract 4 from both sides

2m + 4 = 18

       -4    -4

we are left with 2m = 14

the last step is to divide and since we want m alone, we have to divide 2 from both sides

2m/2 = m

14/2 = 7

so m = 7

Answer:

b

Step-by-step explanation:

Answer:

The answer is B

Answer:

100.8 cm

Step-by-step explanation:

Area of square= side * side

let,

side=x

Substitute values in above formula:

635 [tex]cm^{2}[/tex]=x*x

[tex]x^{2}[/tex]=635 [tex]cm^{2}[/tex]

Taking square root on both sides:

x=25.2cm

side=25.2cm

Now, Permiter=4* side

Perimeter=4*25.2cm

Perimeter=100.8 cm

Answer:

5

Step-by-step explanation:

6/2 = 3

because the triangle is halved

use pythagorus 3²+4²=25

√25 = 5

so x=5

Answer:

It will take 8 minutes to label 60 bottles

Step-by-step explanation:

150 ÷ 20 = 7.5

60 ÷ 7.5 = 8

Hope this helps!

Answer:

0.7666...

Step-by-step explanation:

Answer:

P (-4.5,1.5) Z (-4.5,-4.5) I (-1.5,-4.5)

Step-by-step explanation:

P (-3,1) x 1.5

Z (-3,-3) x 1.5

I (-1,-3) x 1.5

Dilation always multiply by scale factor

D.   a = ( y - k ) / ( x - h )^2

y = a ( x - h )^2 + k

=> y - k = a ( x - h )^2

=> ( y - k ) / ( x - h )^2 = a

Answer:

b

Step-by-step explanation:

Answer:

5 minus 4 times of a number, that difference minus 8 times of something else.

Step-by-step explanation:

Answer:

3 terms: Term 1; 5

Term 2:4x

Term 3: 8y

Step-by-step explanation:

Put a / symbol before all operations, and you can see the terms

EX: 3/+7x/-(-49÷7)/x9

Answer:first one infinently

Step-by-step explanation:

The solution of the equation are:

1. 6(x-3)+4x=5(2x-4)-2 → No solution.

2. 2 − 6 − 3 = 5 − (4 + 2) → No solution.

3. 6(x - 2) + 8 = 3(2x - 4) → No solution.

4. 4x + 8 - 6x + 12 = 3(x + 7) - 5x - 1 → One solution.

1. 6(x-3)+4x=5(2x-4)-2

Step 1: Distribute the numbers outside the parentheses:

[tex]\(6x - 18 + 4x = 10x - 20 - 2\)[/tex]

Step 2: Combine like terms:

[tex]\(10x - 18 = 10x - 22\)[/tex]

Step 3: Isolate the variable on one side:

10x - 10x = -22 + 18

0 = -4

The equation 0 = -4 is not true.

It means that the variable x has canceled out, and both sides of the equation are not equal.

So, there is no solution for this equation.

2. 2 − 6 − 3 = 5 − (4 + 2)

Step 1: Perform operations inside parentheses and simplify:

2 - 6 - 3 = 5 - 6

Step 2: Continue simplifying:

-7 = -1

The equation -7 = -1 is not true.

So, there is no solution for this equation.

3. [tex]\(6(x - 2) + 8 = 3(2x - 4)\)[/tex]

Step 1: Distribute the numbers outside the parentheses:

[tex]\(6x - 12 + 8 = 6x - 12\)[/tex]

Step 2: Combine like terms:

6x - 4 = 6x - 12

Step 3: Isolate the variable on one side:

6x - 6x = -12 + 4

0 = -8

The equation 0 = -8 is not true.

So, there is no solution for this equation.

4. [tex]\(4x + 8 - 6x + 12 = 3(x + 7) - 5x - 1\)[/tex]

Step 1: Combine like terms on each side of the equation:

-2x + 20 = 3x + 20 - 1

Step 2: Continue simplifying:

-2x + 20 = 3x + 19

Step 3: Isolate the variable on one side:

-2x - 3x = 19 - 20

-5x = -1

Step 4: Solve for x:

[tex]\(x = \dfrac{-1}{-5} = \dfrac{1}{5}\)[/tex]

The equation  [tex]x = \dfrac{1}{5}[/tex] is true, which means that the variable x has a unique value that satisfies the equation.

So, there is one solution for this equation.

Learn more about Equation here:

https://brainly.com/question/10724260

#SPJ3

Answer:

[tex]\frac{3}{200}[/tex]

Step-by-step explanation:

Hope this helps!

Answer:

(2, -3)

Step-by-step explanation:

Plug x = 2 into the equation y = 4x - 11

y = 4(2) - 11

y = 8 - 11

y = -3

Then, put x = 2 and y= -3 into an ordered pair.

(2, -3)

Answer:

(2,-3)

Step-by-step explanation:

y = 4(2) - 11

y = 8-11

y = -3

Answer:

not the answer: I hope you do amazing!!

Answer:

120 Yards

Step-by-step explanation:

42 feet is equal to 14 yards.

So if 14 yards is walked in 7 seconds then 2 yards are walked in 1 second.

So if 2 yards are walked in 1 second and there are 60 seconds in a minute, then 120 yards are walked in one minute.

So the answer is 120 yards.

Answer:

D.-7

Step-by-step explanation:

Answer:

.50¢ or 50% because he gave away half

Answer:

nobodiuuytddesbjegbj

Answer:

The value of 7 in 82.76 is 7 tenths.

Step-by-step explanation:

In the place value system, after the decimal point, its tenths, hundredths, and so on. 7 is in the tenths place, and makes 7 tenths.

Hoped this helped!

Answer:

Answer is Un-defined.

Step-by-step explanation:

5(1 - 1)/ (1 + 1)(1 - 1)

=> 5(0)/(2)(0)

=> 0/0

=> Answer is Un-defined.

Hoped this helped.

Step-by-step explanation:

(i)

that is really simple. for each point go vertically and horizontally to the x and y axis and see at what numbers you hit the axis.

A is -2 on x and +3 on y. so, it's coordinates are (-2, 3).

B is (4, 6).

(ii)

the gradient is also called the slope. it describes the "tilt" of the line.

the gradient or slope is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

from (-2, 3) to (4, 6) :

x changes by +6 units (from -2 to 4).

y changes by +3 units (from 3 to 6).

so, the gradient/slope = 3/6 = 1/2

(iii)

the general line equation is

y = ax + b

a is the gradient/slope and is always the factor of x.

b is the y-intercept (the y value when x = 0, meaning the point the line crosses the y-axis).

we have already the gradient or slope.

we get b either by reading that point from the chart (it looks like (0, 4)) or by using the coordinates of one of the known points as x and y values in the equation and solve for b. I just picked (4, 6) :

6 = (1/2)×4 + b = 2 + b

b = 4

hey, we were right before !

so, the full line equation is

y = (1/2)x + 4 or simple x/2 + 4

Answer:

180 minutes

Step-by-step explanation:

You take 45 ÷ 5 to get 9 (the amount of days he practiced math and read for)

Then you take 20 × 9 to get how many minutes he read in total those 9 days.

He read for a total of 180 minutes.

Answer:

180 minutes

Step-by-step explanation:

5:20 ratio

45:x ratio

set up as fraction

5. 45

_ •. _

20. x

Answer:

k=87

Step-by-step explanation:

Multiply k on both sides:

4002=46k

Divide 46 on both sides

Which is 87

Thus k=87

Hope this helps!