how to simplify algebraic fractions

Answers

Answer 1

Answer:

You typically apply the same rules as you would for 'regular' fractions.

So you can multiply numerator and denominator by the same value if needed. If you want to add fractions you must make sure the denominators are the same, etc.

The value you multiply by can be an algebraic expression.


Related Questions

Which expression is equivalent to 6(-7k - 2) + 6k?
-12k - 36
-K - 12
-36k - 2
-36k - 12

Answers

Answer:

-36k - 12 that is the answer

Consider the equation:
0 = x^2 - 10x + 10
1) Rewrite the equation by completing the square.
Your equation should look like (x + a)2 = b or (x - c)2 = d.

Answers

x² - 10x + 10 = 0

Isolate the constant term

x² - 10x = -10

Complete the square
• coefficient of the x term: -10
• divide in half: -5
• square it: (-5)² = 5²
• add 5² to both sides, to complete the square and keep the equation balanced:
x² - 10x + 5² = -10 + 5²
(x-5)² = 15

Answer:

1) We can rewrite the equation as 15=(x-5)^2

2) The solutions to the equation are x=5±15

This recipe makes 8 flapjacks.
How much of each ingredient is needed to make 12 flapjacks by following this recipe?

Recipe: Makes 8 flapjacks
140 g margarine
120 g sugar
100 mL syrup
240 g oats
50 g raisins

Answers

Answer:

Margarine = 210 gram

Sugar = 180 gram

Syrup = 150 ml

Oats = 360 gram

Raisins = 75 grams

Step-by-step explanation:

Given:

Recipe for 8 flapjacks

140 g margarine

120 g sugar

100 mL syrup

240 g oats

50 g raisins

Find:

Recipe for 12 flapjacks

Computation:

Margarine = [140/8]12

Margarine = 210 gram

Sugar = [120/8]12

Sugar = 180 gram

Syrup = [100/8]12

Syrup = 150 ml

Oats = [240/8]12

Oats = 360 gram

Raisins = [50/8]12

Raisins = 75 grams

i need help with this geometry assignment please.

Answers

Answer:

172.8 is the area of the parallelogram

What is the radius and diameter of the following circle?

Answers

Answer:

radius is 11cm diameter is 22cm

Step-by-step explanation:

Answer:

Radius: 11

Diameter: 22

Step-by-step explanation:

The radius is the 11 being shown, the diameter is 2 times the radius.

Hope this helps!

Let f(x) = -x + 3
Find f(2)

f(3)=

Answers

Answer:

1

Step-by-step explanation:

f(2) = -2+3

=1

Write an equation in slope-intercept form that represents the situation:

Bill started with 15 pairs of shoes. On average, Bill buys 7 new pairs of shoes every 2 months.

Answers

Answer:

         y = 3.5x + 15

Step-by-step explanation:

Number of months is x, and number of pairs of shoes after each month is y.

7 new pairs of shoes every 2 months means that after each month:

y = 7/2 x

We need to add the 15 pairs from start.

y = 3.5x + 15

i need help asap
Which choice shows the image of triangle 2 after a reflection over the
y-axis followed by a rotation of 180° around the origin?

Answers

pato apni sa pato bata is sa dak na sa kuch bi nahi mila ga

Answer:

Well I'm doing Image Math too and the answer is the Middle one

Step-by-step explanation:

You have to reflect it then after just look at the blocks 180 is like two blocks away if you understand what I am saying

please help please help

Answers

Answer:

i think it is the last one

Step-by-step explanation:

I believe the answer is D, it would make the most sense because that one has the most unique property's that would apply to a unique quadrilateral

I need help really bad please help me

Answers

Answer:

Step-by-step explanation:

FIRST ONE

-7x and -2x can both be combined

Graph
How to put -31/2 , 21/2 on a graph

Answers

3/1 and put on graph

find the radius length if the arc length is 8m and the central angel is pi over 4

Answers

Answer:

r ≅ 10.2m

Step-by-step explanation:

Use formula: s = r * θ

s = arc length

r = radius

θ = angle in radians

8 = r * π/4

r = 32/π

r ≅ 10.2m

Arkadaşlar yardım edin EN İYİ SEÇERİM​

Answers

Answer:

seviye 2

a=3 b=3

c=5 d= -1

seviye 3

a x=5 b x=15

c x=15 d x=9

Need help with mymathlab problem

Answers

I can’t see your math lab problem, it’s not possible unless you could have shown me the footage based on the problem
i cant see a picture

please help a girl out I'm so confused

Answers

Answer:

first pays 60

Step-by-step explanation:

Explain the prices of dividing two fractions

Answers

Answer:

When dividing two fractions, the process is very easy.  You simply multiply the numerator fraction by the reciprocal of the denominator fraction.  In other words:

[tex]\frac{a}{b} \div \frac{c}{d} \\= \frac{a}{b} \times \frac{d}{c} \\= \frac{a \times d}{b \times c}[/tex]

Ill give u brainly if u help on this one too please !

Answers

Answer:

The correct answer is B!

Step-by-step explanation:

I hope it helps you Sir (or ma'am.)

can someone help me​

Answers

Answer:

ADB=45

Step-by-step explanation:

we know that angles a, b, c, and d are right, or 90 degrees. We also know that the two lines in the center are bisectors, which cut a angle perfectly in half. we can now use this equation for thet:

90/2=<ADB

ADB=45

Answer the eqation
6h=-24

Answers

Answer:

h=-4

Step-by-step explanation:

6 times -4 is -24

helloo

============================

Answer:

-4

Step-by-step explanation:

6h= -24

h = -24/6

h = -4

hope this helps

please mark it as a brainiest

ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°, what is the value of m?
6
17
90
102

Answers

Answer:

The correct answer is option B.  17

Step-by-step explanation:

It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°

To find the value of m

From the figure we can see that, triangle WYZ is an isosceles  triangle.

ZW = ZY

Then <YXZ = <WXZ = 90°

It is given ∠YXZ  = (6m – 12)°

(6m – 12)° =  90°

6m = 90 + 12  = 102

m = 102/6 = 17

Therefore the value of m = 17

The correct answer is option B.  17

Answer:

its 17. so B

Step-by-step explanation:

just did it

Asap, need help. Thanks if your going to help me! Please explain the steps!​

Answers

Answers:

Person A receives at least 800 dollars, but no more than 1600 dollarsPerson B receives at least 1000 dollars, but no more than 2000 dollars

=============================================================

Explanation:

We don't have enough information to nail down exact figures, but we can make a range estimate.

The two people (call them A and B) share the profits in the ratio of 4 to 5

In shorthand notation, we can say the ratio is 4:5

This means person A gets 4x dollars while person B gets 5x dollars

The ratio 4x : 5x reduces to 4:5 after dividing both parts by x. The variable x is some positive real number.

The total profit is therefore 4x+5x = 9x dollars

This expression 9x is between 1800 and 3600 dollars, including both endpoints

We then can say...

[tex]1800 \le 9x \le 3600\\\\\frac{1800}{9} \le \frac{9x}{9} \le \frac{3600}{9}\\\\200 \le x \le 400[/tex]

We see that x = 200 is the smallest possible x value. This leads to person A and B receiving 4x = 4*200 = 800 dollars and 5x = 5*200 = 1000 dollars respectively. Note how the ratio 800:1000 reduces to 4:5 after we divide both parts by 200. We can see that 800+1000 = 1800 which is the lowest profit possible.

The inequality above shows that x = 400 is the largest x value possible. If this is the case, then person A receives 4x = 4*400 = 1600 dollars while person B receives 5x = 5*400 = 2000 dollars. The ratio 1600:2000 reduces to 4:5 after we divide both parts by 400. We can see that 1600+2000 = 3600 is the largest profit possible.

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

To summarize:

Person A can receive anywhere between 800 dollars and 1600 dollars (inclusive of both endpoints).Person B can receive anywhere between 1000 dollars and 2000 dollars (inclusive of both endpoints).

The actual amount they receive will depend on what the actual profit is. Since we're only given the range of the profit, we can only make an estimated guess of the range for each partner.

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

Side note: For either person, the ratio of the max to min is 2:1. This tells us that the max amount they receive is double compared to the min amount they receive. It's no coincidence that 3600 is double that of 1800.

50 points please help

Answers

4x row 3 box 2 that’s the only one I know

Step-by-step explanation:

Start filling in from the bottom, left to right

Row 2 from bottom:

-2x + 33 + (-5) = -2-5 + 7y = 7y - 57y + 1

Row 3 from bottom:

2x + (-2x) + 3 = 3-2x + 3 + (-2) = -2x + 1-2 + 7y - 5 = 7y - 7

Row 4 from bottom:

3 + (-2x) + 1 = -2x + 47y - 7 - 5 + 15y =  22y - 12

Row 5 from bottom:

-2x + 4 -2x - 6 + 7y = -4x + 7y - 2-2x - 6 + 7y + 22y - 12 = -2x + 29y - 18

Top row:

-4x + 7y - 2 - 2x + 29y - 18 = -6x + 36y - 20

1. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-3(x-3)^2=5

2. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=1/2(x+4)^2-13

3. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-(x-14)^2+17

Answers

Answer:

1a) opens down

b) don't know because equation has two equal signs

c) don't know because equation has two equal signs

2a) opens up

b) (-4, -13)

c) x = -4

3a) opens down

b) (14, 17)

c) x = 14

Step-by-step explanation:

What is the answer!!!!!?

Answers

Answer:

29 degrees

Step-by-step explanation:

Given

<D = 2x+8

<A = 122

The sum of the adjacent angle of the trapezoid is 180 degrees

<D + <A = 180

2x + 122 = 180

2x = 180-122

2x = 58

x = 58/2

x = 29 degrees

Hence the value of x is 29 degrees

PLEASE HELP! I WILL GIVE BRAINLIEST!

Answers

Your Answer is $0.5 or 1/2

The answer would be 0.5 or 50 cents

does someone know tha answer??

Answers

Answer:

either 5 or 6 months

Step-by-step explanation:

Tom   M    Jerry

500    1     125

475     2   175

450     3    225

425     4    275

400     5    325

375     6    375

Find the area of a circle whose area equals the half of the sum of the areas of two circles with radil 2 and 3.
13 (pi)
5 (pi)
6.5 (pi)

Answers

Step-by-step explanation:

step 1. if r = 2, then its area = (pi)r^2 = (pi)(4) = 4pi

step 2. if r = 3 then its area = (pi)r^2 = (pi)(9) = 9pi

step 3. so A is the area of a circle half the sum of our circles with r = 2 and r = 3.

step 4. A = (4pi + 9pi)/2 = 13pi/2 =6.5(pi).

one number is 5 more than 4 times another number. their sum is 35. find the 2 numbers

Answers

x+4x+5=35
5x=30
x=6
4x+5=29

Please help me, Please real answers only thanks

Answers

Answer:

A.

Step-by-step explanation:

substitution of coordinates

The diagonals of rectangle. QRST intersect at P. Given that m<PTS = 34° and QS=10 , find QP.

Answers

Answer:

QP = 5

Step-by-step explanation:

since QRST is a rectangle, and QRST intersect at P, then QTS and QRS are right  triangles.

because <T is a right angle, line TR passes through the midpoint of line QS, therefore 2(QP) = QS

10/2 = 5

By the property of diagonal in a rectangle are equal and bisect each other measure of QP is 5 units.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, QRST is a rectangle, QS and RT are the diagonals of the rectangle

QRST.

By properties of rectangles, we know a rectangle is a parallelogram in which opposite sides are equal and diagonals bisect each other.

Given, QS is 10 units and QS = 2QP.

10 = 2QP.

QP = 10/2.

QP = 5.

learn more about rectangles here :

https://brainly.com/question/29123947

#SPJ5

Other Questions
What was a resolt of the conquesy of constantinople?Suleyman 1 gained power.The byzantine empire fell.Muslims split into sunni and shia.The ottomans expanded into Europe A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax? What kinds of hardships did homesteaders face on the Great Plains? Select ALL of the following inequalities that could represent the situation:4 more than x is at least 22 Write an algorithm to show whether a given number is even or odd. Which provides most of the energy in ecosystems? Choose the correct answer.O camivoresO producersO generalistsO keystone species Which fraction divided by 3/6 is equal to -9/10? A-9/20. B9/20. C-3/2. D9/40 What are the theories that help explain the process of socialization? Kara ran 5 miles yesterday. She ran again today. Her total distance forboth days is 6.5 miles. If she ran at a pace of 6 miles per hour today,how long did Kara run today? Match each expression with the equivalent expanded expression Read the stanza of Bean Eaters" and select the number of transitions from below."Two who are Mostly Good.Two who have lived their day.But kept on putting on their clothesAnd putting things away."a. 0b. 1C. 2d. 3 What is the value of g? Which graph represents the inequality you found in part i.? Help PLEASE!!!! Slope Please help...................... 1. What effect did the author most likely intend withCharles Wentworth's introduction in Paragraph 1 ofthe passage?hion, Inc is used within Taylor said. "He is aO A The author most likely intended with CharlesWentworth's introduction to set him up as the mostsympathetic character in the story.OB The author most likely intended with CharlesWentworth's introduction to mimic an inspirationalstory, but revealed that Charles is a horribleprotagonist.O C The author most likely intended with CharlesWentworth's introduction to show his disregard forexpensive things like the car) because he is rich.OD The author most likely intended with CharlesWentworth's introduction to portray him as avictim of his family's greed and poor child-raisingskills. A school club purchases sandwiches and pretzels for a lunch. Each sandwich costs $4.25 and each bag of pretzels costs $0.75. A total of 48 items (sandwiches and pretzels) were purchased for a total cost of $175. If s = the number of sandwiches and p = the number of pretzels, which system represents this situation?A. s + p = 48 4.25s + 0.75p = 175B. s + p = 175 4.25s + 0.75p = 48C. s + p = 48 0.75s + 4.25p = 175D. s - p = 48 4.25s + 0.75p = 175 Mckenna is a high-school student who wants to become a High School Science Teacher. What are the most helpful examples of milestones for this goal? Check all that apply. 1 graduating from college2 graduating from high school3 living in another country, and learning the language4 completing an internship at a newspaper5 learning to swim6 volunteering to work in classroomsanswer is 1 2 6 what is Community Health explain the scope of community healthHelp me please Factor each expression by finding the GCF.8 + 16 =8 ( 1 + 16)2 (4 + 16)8 ( 1 + 2) 4 (2 + 6)