write as a single fraction in their
lowest terms:
2/x + 1/x-3

Answers

Answer 1

Answer:

[tex]\frac{3x-6}{x(x-3)}[/tex]

Step-by-step explanation:

We require the denominators of the fractions to be common.

Multiply numerator/denominator of first fraction by x - 3

Multiply numerator/denominator of second fraction by x

Then

= [tex]\frac{2(x-3)}{x(x-3)}[/tex] + [tex]\frac{x}{x(x-3)}[/tex] ( simplify numerators, leaving the common denominator

= [tex]\frac{2x-6+x}{x(x-3)}[/tex]

= [tex]\frac{3x-6}{x(x-3)\\}[/tex]


Related Questions

Amy owns 3 1/3 acres of farmland. She grows beets on 1/6 of the land. On how many acres
of land does Amy grow beets?
Plz

Answers

Answer:

5/9 acres

Step-by-step explanation:

3 1/3 areas is 10/3

1/6 of the land is covered with beets

[tex]\frac{10}{3} * \frac{1}{6} =\frac{10}{18}[/tex]

[tex]\frac{10}{18}[/tex] will simplify to [tex]\frac{5}{9}[/tex]

Hence the answer is 5/9 acres

Tell whether each pair of angle measurements are complementary, supplementary or neither.  36°,24°  18°,72°  96°,84°

Answers

Given:

The pairs of angles are:

36°,24°

18°,72°

96°,84°

To find:

Whether each pair of angle measurements are complementary, supplementary or neither.

Solution:

Two angles are complementary if there sum is 90 degrees.

Two angles are supplementary if there sum is 180 degrees.

For 36° and 24°,

[tex]36^\circ+24^\circ =60^\circ[/tex]

So, this pair is neither complementary not supplementary.

For 18° and 72°,

[tex]18^\circ+72^\circ =90^\circ[/tex]

So, this pair is complementary.

For 96° and 84°,

[tex]96^\circ+84^\circ =180^\circ[/tex]

So, this pair is supplementary.

A golf course has 18 holes. A guidebook provided to golfers includes useful information about each hole, as shown below. A 4-column table with 6 rows. Column 1 is labeled hole number with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled yards with entries 312, 530, 147, 350, 410, 185. Column 3 is labeled bunkers with entries 2, 5, 1, 0, 2, 1. Column 4 is labeled difficulty level with entries moderate, moderate, easy, moderate, hard, moderate. What are the individuals in this data set? holes yards bunkers difficulty levels

Answers

Answer:

Holes got it right :)

Step-by-step explanation:

Answer

difficulty levels

Step-by-step explanation:

took the test

sorry different question

Which of the following is the reference angle for an angle that measures 222 degrees ?
1.22
2.48
3.64
4.42

Answers

it is answer choice 4, 42.
The answer is 4.42 instead of 1.22 for 222 degrees.

I really need help with the radius,diameter and area off circles and halfcircles

Answers

Answer:

Radius refers to the distance between the center of the circle to any point of the circle

Diameter refers to the distance between any two points on the circle passing through the center of circle, it is also equal to radiusx2

Area of circle = πr², where π is a constant (≈3.14159), r is the radius

Halfcircles is basically half of the circle. It has the same radius and diameter as it's full circle but the area of the halfcircle is equal to half of the area of the full circle.

Step-by-step explanation:

Ashley owns 40 shares of a certain stock. Yesterday the value of each share went up by 10 dollars. What was the total change in value of her shares?

Answers

Answer:

$400 change

Step-by-step explanation:

If Ashley owns 40 shares, and each share went up by $10, you can do

40x10=400 to find the change in value

If CD is not parallel to EF, what is m2C?

Answers

Don’t open they takes all your information it’s a scam

I’LL GIVE YOU BRILLIANCE
(it’s question 15)

Answers

Answer:

one 4 Two yes And 4

Step-by-step explanation:

A scale drawing has a scale of 2 cm = 15 m. If the length of something on the drawing is 12 cm, what is the actual length?

Answers

Answer: 90

Step-by-step explanation:

Answer:

90m

Step-by-step explanation:

you have to cross multiply.

1) multiply (12 * 15) and multiply 2 * X)

2) you get 180 = 2x

3) to get X alone divide 180 by 2 and you will get 90meters

in direct variation, how are the constant of variation and the slope related?​

Answers

The constant of variation and the slope are equal to each other.

if PQ and PR are tangent to circle S,find PQ

Answers

Answer:

From one point, you can draw two tangents to a circle. These two tangents will be equal.

Step-by-step explanation:

7x - 24 = 57 - 2x.

Rearrange the numbers (by adding 2x and 24 on both sides), we get:

7x+2x = 57 + 24

9x = 81.

x = 9.

Length of PQ = 57-2x = 57 - 18 = 39

If PQ and PR are tangent to circle S, then the value of PQ is 39.

What is tangent?

"A line that touches the circle at a single point is known as a tangent to a circle."

What is circle?

"A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre."

P is the exterior point of a circle.

PQ and PR are the tangents to circle S.

According to theorem,

The lengths of the tangents drawn from a same external point to a circle are always equal.

7x - 24 = 57 - 2x

7x + 2x = 57 + 24

9x = 81

x = 9

PQ = 7x - 24

PQ = 7(9) - 24

PQ = 63 - 24

PQ = 39

Hence, the value of PQ is 39.

To learn more about tangent of a circle here

https://brainly.com/question/23265136

#SPJ2

Find the SURFACE AREA of the rectangular prism. LABEL your answer.
5 cm
6 cm
6 cm
What formula will you use to find the area of each side? A=
How many sides does the prism have?
What is the TOTAL surface area? (label your answer)

Answers

Answer:

surface area of prism= 2(lb+bh+lb)

surface area of prism= 2(6×6+6×5+5×6)

surface area of prism= 168cm²

formula=2(lb+bh+hl)

sides=12 sides

total surface area =168cm²

volume of prism=l×b×h

volume of prism=6×6×5

volume of prism=180cm³

A river 3m deep and 40 m wide is flowing at the rate 2km /h . how much water will fall into the sea in a minute.​

Answers

Answer:

Area of river = depth × width

=3×40

[tex] = 120 {m}^{2} [/tex]

amount of water that falls into the sea ⇒

Area of river × flow rate

[tex]120 {m}^{2} \times 2 \: \frac{km}{hr} [/tex]

[tex]120 \times \frac{2 \times 1000 {m}^{2} }{(60)min} [/tex]

[tex]4000 \: \frac{ {m}^{3} }{min} [/tex]

:. [tex] {4000m}^{3} [/tex] of water falls into the sea per min.

So, [tex] {4000m}^{3} [/tex]

= 4000 × 1000 litres

= 4000000 litres

So, in 1 minute, water will fall into the sea is 4000000 litres.

Step-by-step explanation:

Hope it is helpful....

Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 3 inches. How much paper will she​ use?

Answers

Answer: [tex]282\ in.^2[/tex]

Step-by-step explanation:

Given

dimension of box are

[tex]h=22\ in.\\[/tex]

Square base length is [tex]l=3\ in.[/tex]

[tex]\therefore w=3\ in.[/tex]

The surface area of a rectangular prism is

[tex]S.A.=2[lb+bh+hl][/tex]

The paper area must be equal to the surface area of the prism

[tex]S.A.=2[22\times 3+3\times3 +3\times 22]\\S.A.=2\times 141=282\ in.^2[/tex]

Pls help find area and perimeter for #1 I have limited time I put out another one but forgot to change the points so 65 points and BRAINLIEST if I figure out how to give it :)

Answers

Answer:

The first one perimeter is 111

Step-by-step explanation:

How  to find the perimeter is too add all the numbers you see

Divide. Give the quotient and remainder.
20,226/4

Answers

Answer:

5,056.5 is the answer of 20226 /4

what is 15%of8700 please give the right answer

Answers

15% becomes 0.15
multiply it by 8700
0.15x8700=1305

Step-by-step explanation:

8700x.15 is 1,305. that is your answer

HURRYYYYY!!
Which of the following is a proportion?
3/4 = 9/19
6/9 = 3/5
4/5 = 2/10
3/7 = 6/14

Answers

Answer:

3/7 = 6/14

Step-by-step explanation:

if u multiplied 3 times 2 you get 6 and that's on the other side. same for 7

What are the coordinates of each point after quadrilateral EFGH is translated 3 units right and 2 units down? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.

Answers

Answer:

E'(-2, -3), F'(-1, -5), G'(1, -5) and H'(2, -3).

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is translated a units right and b units down, the new location of the point is at A'(x + a, y - b)

The location of the vertices of quadrilateral EFGH is E(-5, -1), F(-4, -3), G(-2, -3) and H(-1, -1). If quadrilateral EFGH is translated 3 units right and 2 units down, the new location would be:

E'(-2, -3), F'(-1, -5), G'(1, -5) and H'(2, -3).

Consider the following data set: {4, 5, 6, 7, 10}. If you remove one of the numbers from the list, then the mean increases and the median doesn’t change. Which number is it?

Answers

Answer:

6

Step-by-step explanation:

Right now, the mean is 6.4 and the median is 6. If you take away 6, the mean would be 6.5 and the median will stay the same. The median will stay the same because when there is no middle number, you add the two closest numbers and divide by two.  

Hope it helped:)

14 - 2(11 - 5) + [tex]7^{2}[/tex]=

Answers

Answer:

51

Step-by-step explanation:

20=c/5

can you show your work thanks
Someone help me I need this one fast

Answers

c = 20 × 5

c = 100

and that's all

Answer:

Step-by-step explanation:

Megan has $500 in her savings account. The interest rate is 7%, which is not
compounded. How much money(in dollars) will she have in her account after 5
years? Write the correct answer.

Answers

Answer:

500/7=intrest rate/account savings=_________

Step-by-step explanation:

Use the long division method to find the result when 4x^3+18x^2+22x+54x 3 +18x 2 +22x+5 is divided by 2x+52x+5.

Answers

Answer:

2x² + 4x + 1

Step-by-step explanation:

Given the question :

4x^3+18x^2+22x+5 divided by 2x+ 5

Dividend = 4x^3+18x^2+22x+5

Divisor = 2x + 5

In other to ensure question is answered clearly and reasonably, the solution Using long division haa been worked out and attached as a picture

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show
your work.

Answers

Answer:

A= 94°, B = 102°, C = 86°, D = 78°

Step-by-step explanation:

ABCD is a cyclic quadrilateral

It has the property that opposite angles are supplementary: A with C and B with D.

Solve following for x:

x + 6 + x - 2 = 180°2x + 4 = 180°2x = 176°x = 88°

The angles are:

A = 88° + 6° = 94°C = 180° - 94° = 86°D = 88° - 10° = 78°B = 180° - 78° = 102°

Use the Distributive Property to write an expression equivalent to 4(5x + 11)

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{If you’re doing the DISTRIBUTIVE PROPERTY... all you have to}\\\large\text{MULTIPLY 4 within your PARENTHESES.}[/tex]

[tex]\large\text{}[/tex][tex]\large\text{4(5x) + 4(11)}[/tex]

[tex]\large\text{4(5x) = 20x}[/tex]

[tex]\large\text{4(11) = 44}[/tex]

[tex]\large\text{\bf = 20x + 44 }[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 20x + 44}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:}[/tex]

[tex]\large\text{Your GUIDE}\downarrow[/tex]

[tex]\textsf{Distributive formula}[/tex]

[tex]\textsf{a(b + c)}[/tex]

[tex]\textsf{a(b) + a(c)}[/tex]

[tex]\textsf{= ab + ac}[/tex]

 

HI, I NEED THIS QUESTION TO BE ANSWER ASAP! HELP PLEASE!!
HERE IS THE QUESTION!

What fraction with a denominator of 8 is equivalent to 1/2?

HELP!! IF YOU DO IT ILL GIVE YOU BRAINLY WITH THE EXPLANATION!

Answers

Answer:

4/8

Step-by-step explanation:

4/8 is equal to 1/2

-

4 is half of 8

a model airplane is built using the scale 2 inches = 7 feet. how long is the actual plane of the model airplane is 1.5 feet long?

Answers

Answer:

63

Step-by-step explanation:

if 2 inches = 7 feet and the model plane is 1.5 feet, and that is 18 inches 18/2*7=63

1 inch is =12.

⚠️THIS IS DUE TODAY⚠️ USE DISTRIBUTIVE PROPERTY

Answers

Answer:

4x + 8

-45 - 5x

7x - 21

Step-by-step explanation:

For the first one

4(x + 2)

for distributive property you multiply the number or symbol next to the outside of the parenthesis, by everything inside the parenthesis.

4(x+2)

4*x = 4x

4*2 = 8

So, this is 4x + 8

-5(9+x)

-5*9= -45

-5*x=-5x

So, this is -45 - 5x

7(x-3)

7*x= 7x

7*-3= -21

This will be 7x - 21

Hope this helps!!

-Ketifa

Use substitution to solve the following system of equations.
x + 2y = 13
3x - 5y = 6

Answers

Answer:

{1} x + 2y = 13

{2} 3x - 5y = 6

x = 13 - 2y

substituting into {2}

3x -5y = 6

3( 13 - 2y) - 5y = 6

39 - 6y -5y = 6

-11y = 6 -39

y = -33 /-11

 ( minus and minus cuts in fraction, so the answer will come in positive)

y = 3

now , substituting into {1}

x + 2(3) = 13

x = 13 -6

x = 7

so,

the solution are:-

x = 7

y = 3

I hope this helps a little bit.

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