riley makes a mistake in step 2 while doing her homework. What was her mistake? StartFraction x Over x squared minus 5 x + 6 EndFraction + StartFraction x Over x + 3 EndFraction Step 1: StartFraction x Over (x minus 2)(x minus 3) EndFraction + StartFraction 3 Over x + 3 EndFraction Step 2: StartFraction x Over (x minus 2) (x + 3) EndFraction + 3 (x minus 2) Over (x minus 2) (x + 3) EndFraction Step 3: StartFraction x + 3 x minus 6 Over (x minus 2) (x + 3) EndFraction Step 4: StartFraction 4 x minus 6 Over (x minus 2) (x + 3) EndFraction She added the two fractions incorrectly. She used the wrong common denominator. She did not distribute the negative correctly. She did not multiply the first fraction by a factor. Mark this and return

Answers

Answer 1

The mathematical mistake that Riley made is that: "She used the wrong common denominator." (Option A)

What is a Common Denominator?

A common denominator is a factor that is similar to all the fractions in the sequence of equations.

Hence the correct answer is:

(2(2x² - 6x + 9))/((x-3) (x-2) (x+3))

See the correct sequence of steps below:

Step One - the Expression is given as:

(x/(x-3)(x-2)) + (3/(x+3))

Step 2 - Find the common denominator and rewrite the expression so that the numerators are above the common denominators.

Hence we have:  (x (x+3) + 3(x-3) (x-2))/(x-3)(x-2)(x+3)

Step 3  Apply the Law of Multiplicative Distribution:

Hence we have  (x² +3x+3x²-9x-6x+16)/(x-3)(x-2)(x+3)

Step 4 -  Collect Like Items

This gives us: (x²+3x²)+(3x-9x-6x)+18/(x-3)(x-2)(x+3)

Step 5 Sort for like coefficients

This gives us:  ((1+3)x² +(3-9-6) * x + 18)/(x-3)(x-2)(x+3)

Step 6 -  check for the sum or difference

This gives us: (4x²+(3-9-6) * x+ 18)/(x-3)(x-2)(x+3)

We simplify and factor the expression to get

(2(2x²-6x+6)/(x-3)(x-2)(x+3).

Learn more about Common Denominators at:

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Related Questions

HELPP!!! What is the measure of y? 4 9

Answers

Answer:

6

Step-by-step explanation:

4 × 9 = [tex]\sqrt 36[/tex] = [tex]\sqrt{6}[/tex]

The value of y is 6 units obtained by applying pythagoars's theorem in all possible right-angled triangles.

What is Pythagoras's theorem?

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

From the figure, we have three unknowns x, y, and z and we have 3 right-angled triangles so three equations can be formed.

x² = 4² + y²...(i)

z² = 9² + y²...(ii)

(4 + 9)² = x² + z²

13² = x² + z²...(iii)

Now, Subtracting eqn(ii) from eqn(iii) we have.

  169 = x² + z²

(-)  81 = -(y)² + z²

-------------------------

88 = x² + y²...(iv).

Now adding eqn(i) and eqn(iv) we have,

2x² = 104.

x² = 52.

Putting this value in eqn(i) we have,

52 = 16 + y².

y² = 36.

y = 6.

learn more about Pythagoras' theorem here :

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The average temperature on the surface of the earth is 15 degrees. On the surface of Mars, the average temperature is -50 degrees. What is the difference in these two temperatures? degrees​

Answers

Answer:

65

Step-by-step explanation:

the difference is 65 degrees fahrenheit

What is the probability of randomly selecting a card from a standard 52 card deck and having the card be a face card or an even numbered card?

A) 5.16
B) 16.5
C) .165
D) .615

Answers

I think c but don’t take my word

Solve seven tenths times two fourths

Answers

7/20 or 0.35 I believe

Answer:

with simplify: 1 4/20.

without simplify: 24/20

Step-by-step explanation:

first we have to find the common denominator

can 4 go into 10? no.

can 4 go into 20? yes! it goes into 20, 5 times!

common denominator = 20

_/20 + _/20

what we do to the bottom we do to the top

7 x 2= 14

14/20 + _/20

2 x 5= 10

14/20 + 10/20 = 24/20

now simplify

1 4/20

hope this helped!

The sum of1/2 and 1/5 is between 1/2 and 1?

Answers

Answer:

the answer is 7/10, and yes it is between a whole and a half because 7/10 is over 1/2 but less that a whole.

Mr.Jones can bench 205 pounds. The bar weighs 45 pounds, how much weight is on each side

Answers

Answer:

205-45÷2

Step-by-step explanation:

205-45=160

160÷2=80

80lb

A trial balance has total debits of $36,000 and total credits of $48,500. Which one of the following errors would create this imbalance?

A.) A $6,250 debit to utilities expense in a journal entry was incorrectly posted to the ledger as a $6,250 credit, leaving the utilities expense account with a $7,000 debit balance.

B.) A $12,500 debit to salaries expense in a journal entry was incorrectly posted to the ledger as a $12,500 credit, leaving the salaries expense account with a $2,350 debit balance.

C.) A $6,250 credit to consulting fees earned (revenues) in a journal entry was incorrectly posted to the ledger as a $6,250 debit, leaving the consulting fees earned account with a $14,300 credit balance.

D.) A $6,250 debit posting to accounts receivable was posted mistakenly to land.

E.) A $12,500 debit posting to equipment was posted mistakenly to cash.

F.) An entry debiting cash and crediting accounts payable for $12,500 was mistakenly not posted.


Please answer which one is it. Thank you!

Answers

Answer:

__________

Step-by-step explanation:

Is the answer A?

first time taking a picture but some one help me, this is the last question and I want to die.​

Answers

Answer:

Step-by-step explanation:

BRAINLIEST TO BEST ANSWER :D
Ali was asked to simplify the expression 3(x - 6) + (4x + 12) - 6x. His work is shown below.


3(x - 6) + (4x + 12) - 6x

3x - 9 + 4x + 12 - 6x

(3x + 4x - 6x) + (-9 + 12)

x + 3

Question 1
Identify the line which contains the error.
A 3(x - 6) + (4x + 12) - 6x
B 3x - 9 + 4x + 12 - 6x
C (3x + 4x - 6x) + (-9 + 12)
D x + 3

Answers

Answer:

C

Step-by-step explanation:

Answer:hope this helps!!! :)

defenitly A it equals x-6 not x-3

3(x - 6) + (4x + 12) - 6x  =>   − 6

Step-by-step explanation:

13. Jannah purchased flowers to plant in
her garden. She planted 2 flowers in
each of her 5 flower beds plus 8 flowers
around a pond. Write an expression
that shows how many flowers Jannah
planted.

Answers

Answer:

2x5=10+8

Step-by-step explanation:

my answer need to be 20 characters long so I had to write this too

x + 5 x < -2 4 – x2 -2 ​

Answers

x2  < −6x − 26

x < -x2/6 - 13/3

If a manufacturer's list price is $800 and Bill's Outlet buys the goods for $650, what is the trade discount percent? (Round answer to
the nearest hundredth percent)

Answers

Answer:

The discount percent is 18.75%

Step-by-step explanation:

The amount of money that was lost in this discount is $150, to calculate the percent, you subtract the original price by the discounted price, and then divide the difference by the original price and multiply that by 100% to get the discount percent. [tex]\frac{150}{800}[/tex] * 100% equals 18.75%, so that would be the discount percent.

Ill give u the brainlest if u are correct please hurry and show how u got ur answer

1. While doing construction on your new house, you notice that it takes 6 minutes to put up 22 shingles on the roof. Which one of the following is a correct sentence to describe the ratio of minutes to shingles?

Group of answer choices

There are 3.7 minutes for every 1 shingle put on the roof.

For every 3 minutes, there are 11 shingles put up.

There is 1 minute for every 0.27 of a shingle.

It takes 3.7 minutes to put up 22 shingles.

2..A researcher decides to study study frogs in a local forest. Funding for his project says:

2.For every 8 hours in the office, you will be allowed 100 minutes in the forest.

Which of the following is the correct ratio of forest to office time?

Group of answer choices

4.8

0.2083

12.5

0.08

3.Which of the following is equivalent to the ratio 5?

You don't have to show work for this problem.

Group of answer choices

1:5

5 to 1

1/5

0.2


4.Consider the number: 105,279,083,000

Which digit is in the ten billions place?

You don't have to show work for this problem.

Group of answer choices

7

5

9

0



5.Write the following number in correct scientific notation: 13.8 billion

You don't need to show work for this problem, but it's a good idea.

Group of answer choices

1.38 x 10^-10

1.38 x 10^10

13.8 x 10^9

1.38 x 10^7

Answers

Answer:

B or every 3 minutes there is 11 put up

Step-by-step explanation:

So 22 and 6 we divide them by 2 we get 11 and 3

3.7 x 2 is 22.2 so it’s just a bit over out 22

0.27 x 6 is 1.62 which is not 22

so my conclusion it’s 11 shingles put up each minute

In ΔKLM, k = 13 cm, l = 17 cm and m=28 cm. Find the measure of ∠K to the nearest degree.

Answers

Answer:

18

Step-by-step explanation:

Delta math

Answer:

18

Step-by-step explanation:

delta math

An angle measures 9.4° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

x = one angle

90 - x = complementary angle {complementary angles add up to 90�}

x = 90 - x + 86 {one angle is 86� more than its complementary angle}

x = -x + 176 {combined like terms on right}

2x = 176 {added x to each side}

x = 88 {divided each side by 2}

90 - x = 2 {substituted 88, in for x, into 90 - x}

one angle is 88�

the complementary angle is 2�

Step-by-step explanation:

Whats the y-intercept of the line x + 6y = -18

Answers

Answer:

18

Step-by-step explanation:

Answer:

it's −3

Step-by-step explanation:

Are there any supplementary, vertical, or complimentary angles? If so wich ones

Answers

Supplementary: N and M

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: N and R

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary: P and Q

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

Suppose an amusement park bought a merry‐go‐round for $92,000. 42,512 people paid $2 each to ride the merry‐go‐round in its first year of operation. Did the park earn or lose money in the first year? How much?

Answers

Answer:

yes they did lose money

Step-by-step explanation:

42,512×2 = 85,024

92,000 - 85,024 = 6,976

they lost $6,976 in the first year

Evaluate
28.47% of 637.38cm
Give your answer rounded to 2 DP.
cm

Answers

Answer: 181.46 cm.

Step-by-step explanation: The real answer is 181.462086 cm but we can round that to 2 decimal places.

637.38 × 28.47/ 100

= 181.46

= 28.16
Riya buys 9 square paving slabs, each with a side of 1m. She lays them in the form of square.
(b) Shari does not like her arrangement. She gets her to lay them out like a cross. What is
the perimeter of her arrangement?​

Answers

Answer:

20 m

Step-by-step explanation:

4(3+2) = 20

Find the solutions of each equation on the interval [0, 2π)

Answers

Answer/Step-by-step explanation:

Factor this. GCF=2

2(2cos2x+cos x-1)=0

2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve

2cos x -1=0 Add 1 to both sides

2cos x =1 Divide by 2

cos x =1/2

x=π/3

x=5π/3

cos x+1=0 Subtract 1 from both sides

cos x=-1

x = π

PLS ANSWER ASAP THIS QUESTION IS WORTH ABOUT 50 POINTS PLS ANSWER PROPERLY PLS PLS

Raul paid $48 for a sweater. He also paid a 7% sales tax. How much was the tax and what was they total cost

Answers

Answer:

Tax: $3.36

Total Cost: 51.36

Step-by-step explanation:

First, we need to figure out the tax, which is 7% of 48. Meaning that the tax is $3.36. Then, we add that to the cost of the sweater which is $48, which means that the total cost is 3.36 + 48 = $51.36

Plz mark as brainliest :D

if (a+b)+(a-b)i=7+2 find a and b​

Answers

Answer:

a = 4.5

b = 2.5

Step-by-step explanation:

The question is incomplete.

Complete question

If (a+b)+(a-b)i=7+2i find a and b

Compare the terms on both sides

a+b = 7

a-b = 2

Add both equations

a+a = 7+2

2a = 9

a = 9/2

a = 4.5

Recall:.

a+b = 7

4.5+b = 7

b = 7-4.5

b = 2.5

16/20 – 1/4 =


I need help please thank you

Answers

Answer:

11 / 20

Step-by-step explanation:

16 / 20 - 1×5 / 4×5

16 / 20 - 5 / 20

16 - 5 / 20

= 11 / 20

Find the area of a square with sides of length 1 /3 yard. pls help

Answers

Answer:

1/9 yards ^2

Step-by-step explanation:

[tex]\frac{1}{3}^2 =\\\frac{1}{3} * \frac{1}{3}=\\\frac{1}{9}[/tex]

write these ratio in its simplest form 200:180​

Answers

Answer:

10:9

Step-by-step explanation:

in a school 3/8 students are boys and 850 are girls.fi nd the number of boys in the school
I​

Answers

Answer:

Answer: Not too Sure... Maybe 318

Solve the Antiderivative. ​

Answers

... 1
∫-------- dx
√2x-x²

... 1
∫------------------dx
√( 1-(x-1)² )

let u = x-1
du = dx

... 1
∫------------------ du
√( 1-u² )

= arcsin(u)
= arcsin (x-1)

If 3x = 6, then x = 2.
a. Addition b. Subtraction c. Square root d. Division

Answers

Answer:

Its D. Division

Step-by-step explanation:

Because you have to divide 3 from x and also to 6 and you will get x equals 2.

The answer is d. Division.

Explanation:

3x = 6

3x/3 = 6/3 {Divided by 3}

x = 2

Hope it helps!

Question 2 (1 point)
If 5 hours is 25% of the time a trip will take, how long will it take?

Answers

20 hours because 5x4=24 and 1/4=25

Answer:

20 hours

5 hours- 25%

10 hours- 50%

15 hours- 75%

20 hours- 100%

Other Questions
guys pls help me pls Examining the equations or equilibrium constants related to a base, salt, or an acid is an indirect way to determine strength of an electrolyte. The strength of an electrolyte can be examined directly by placing a solution into a circuit so that the voltage or amount of current can be measured. Although conductivity refers to the flow of charged species, we usually examine conductivity with respect to resistance. As the name implies, a solution that does not conduct electricity very well also has a very high resistance. If solutions containing various acids, bases, and salts were prepared and connected to a circuit that powers a light bulb, the strength of the electrolyte could be estimated by examining the intensity of the light bulb. Complete the following sentences regarding the experimental determination of the electrolyte strength for various molecules dissolved in solution.a. strong electrolyteb. weak electrolytec. non-electrolyte1. A 20 mL solution containing 2 mmol of Ca3(PO4)2(s) was integrated into to a circuit that powers a light but, When the power supply was turned on, the light bulb produced a glow. Ca3(PO4)2(s) is__.2. A 20 mL, solution containing 2 mmol of C12H22O11(aq) was integrated into a circuit that powers a light bulb. When the power supply was turned on the light bulb remained off. C12H22O11(aq) is___.3. A 20 mL, solution containing 2 mmol of HF(g) was integrated into to a circuit that power a light bulb. When the power supply was turned on the light bulb faintly flickered. HF(g) is an____.4. A 20 mL solution containing 2 mmol of LiOH(g) was integrated into to a circuit that power a light bulb. When the power supply was turned on the light bulb produced a bright glow LiOH(s) is a____. PLEASE HELP ASAP!Triangle CAT has vertices C (2,3), A(-2,6) and T(-1,-4). A translation maps the point A to A' (-1,4). What are the coordinates of C' under this translation?A. (1, -3)B. (3, 1)C. (1, 8)D. 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How long is each piece of trim? a) Write an equation to represent this situation. Expanded form of 5*10^-9 How was the Spanish American war a result of the United States belief that it should protect the democratic rights of people in other countries?A) The United States government went to war to protect Spain's right to govern Cuba.B) Spanish Americans went to Cuba to fight with their relatives.President McKinley sent the battleship Maine to Cuba to show support for Cubans revolting against Spain.D) The United States government blockaded Cuba so outside powers could not interfere with its internal conflict. The weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz. If a newborn baby is selected at random. What if the probably that the baby weighs less than 150 Oz? help please!! 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