Completely simplify the rational expression LaTeX: \frac{7x}{3y} + \frac{12x}{9y}

Answers

Answer 1

Answer:

[tex]\frac{11x}{3y}[/tex]

Step-by-step explanation:

[tex]\frac{7x}{3y} + \frac{12x}{9y}[/tex]

To add the two fractions, you need a common denominator.  In this case, the lowest common denominator (LCD) is 9y.  That's because 9y is divisible by both 3y and 9y.

The first fraction must be changed so that its denominator is 9y.  Do this by multiplying both numerator and denominator by 3.

[tex]\frac{7x}{3y}\cdot\frac{3}{3}+\frac{21x}{9y}=\frac{21x}{9y}+\frac{12x}{9y}\\=\frac{21x+12x}{9y}\\=\frac{33x}{9y}[/tex]

Finally, this answer can be simplified ("reduced") by dividing both numerator and denominator by 3, their greatest common factor.


Related Questions

Question below...15 points.

Answers

Answer: i think its c

Step-by-step explanation:

but im not totally sure

Answer:

B. s = 9 inches

Step-by-step explanation:

We are given a square with a perimeter of 36 inches, along with a key that the perimeter is given through the equation P = 4s, where "s" stands for the length of one side. We are then asked to find which number s is.

Perimeter is when you add 4 sides altogether, in our case we have 36 inches as our perimeter. Since 4s is the main factor as to how we got 36 inches, we need to set up one system equation.

P = 4s

36 = 4s

Now we need to find a number that multiplies with 4 to get us 36, simple as that. Let's get s alone to retrieve our answer :

36 = 4s

Divide 4 from both sides :

9 = s

s = 9

PLS I NEED HELP BRANLIEST FREE
the square below is being reduced by a scale factor of one-third. what is the perimeter of the new drawing.

Answers

Step-by-step explanation:

Scale factor=1/3

one side of spuare=9 (being reduced)

=9÷3=3

perimeter =(3)4

=12cm

Flora drew the following graph to answer the question. What was her mistake when she drew her graph?

Answers

Answer:

She drew the graph too steep, if she is going down at a constant rate of 300 ft per hour, at 1 hour she would be at 2,700 ft. it would take her about 10 hours to get down the mountain.

From the equation, find the axis of symmetry of the parabola.
f (x) = x squared minus 14 x + 49
a.
x = 7
c.
x = 6
b.
x = negative 7
d.
x = negative 6

Answers

Answer:

B. x=negative 7

Step-by-step explanation:

sana nakatulong :-)

Express 759.285 to the nearest hundredth

Answers

759.3 when rounded

8 is the hundredth, since it's more than 5, you'll have to make 2 a 3

7.5% of what number is equal to 85% of 200?
Help

Answers

2266 and 2/3s. 85% of 200 is 170. 170/7.5 = 22.66666 x100 = 2266.66

PLEASE HELP ME WITH THIS ITS DUE IN 15 MINS!! WILL GIVE BRAINLIST!! HELP!

Answers

Answer:b

Step-by-step explanation:

HELPP
giving brainliest

Answers

Answer:

4 feet 10 in

Step-by-step explanation:

58/12= 4 10/12= 4 feet 10 in

Answer:

4ft 10in

Step-by-step explanation:

58/12 = 4 10/12

I rlly need help with this

Answers

You need to give more info so like show more of the question

We Need more info ok

Please help ASAP ASAP

Answers

Answer:X=110

Step-by-step explanation:

When you divide 196 by 20 you get 9.8 so when you divide 1078 by 9.8 you get 110

I think that the answer is 110=x

Find the profit or loss if:
Cost price = $19.85 Selling price = $20.20
tell me also wether it’s a profit or loss

Answers

Answer:

It would be a profit  of .35 cents

Step-by-step explanation:

Answer:

it is a profit by 0.35 cents

Step-by-step explanation:

That is becuase it costed you 19.85 so you ost 19.85 and gain 35 cents becuase you are selling it for a higher price

What is true about the completely simplified sum of the polynomials 3x^2y^2-2xy^5 and -3x^2y^2 + 3x^2y^2 + 3x^4y?

Answers

Given:

The polynomials are:

[tex]3x^2y^2-2xy^5[/tex]

[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]

To find:

The completely simplified sum of the polynomials.

Solution:

We have,

[tex]3x^2y^2-2xy^5[/tex]

[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]

The sum of given polynomials is:

[tex]Sum=3x^2y^2-2xy^5-3x^2y^2+3x^2y^2+3x^4y[/tex]

[tex]Sum=-2xy^5+3x^4y+3x^2y^2[/tex]

Therefore, the sum of the given polynomials is [tex]-2xy^5+3x^4y+3x^2y^2[/tex]. It is a polynomial with degree 6 and leading coefficient -2.

For an upcoming election, 500 registered voters were surveyed on a tax increase. 43% were for a tax increase and 51% were against a tax increase. The margin of error was 6%. What is an accurate conclusion from the poll?
a. Against a tax increase will win because it is above 50%.
b. The nal result is undecided because of the margin of error.
c. The nal result is undecided because percentages do not add up to 100%.
d. Against a tax increase will win because the margin of error will increase their percentage.

Answers

Against a tax increase because either way the margin of error may fall, against will still have more votes

8/9 ÷ 2/3 - 5/6
step by step fast​

Answers

Answer:

is 1/2 or .5

Step-by-step explanation:

a lego brick is 5/6 of a cm long, how long will the total length of 336 bricks be?

Answers

Answer:

278.88 cm

Step-by-step explanation:

Answer the question in the picture?

Answers

Answer:

19

Step-by-step explanation:

we know the sides of a rhombus is all equal, so:

4(2x+4)=168

8x+16=168

8x=152

x=19

Using the x-values 3, 5, 8, which of the T-tables represents the ordered pairs solving y = 3.5x - 2?

Answers

Answer:x=4/7
Step by step explanation
I used photo math

Answer: you are given the equation 3.5x - 2 so you will plug in your x-values (3,5,8)

Step-by-step explanation:

1. 3.5(3)-2

2. 3.5(5)-2= 15.5.

3. 3.5(8)-2 =26

~This is your table ~

X-3 Y-8.5

X-5 Y-15.5

X-8 Y-26

I tried to explain it on here. Good luck !!

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

A

Step-by-step explanation:

It will always go down if you put more wait.

Can I have Brainliest

I will mark you brainiest if you an answer this

Answers

Answer:

the awnswer is a = 7 + c

Step-by-step explanation:

Problem PageQuestion A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was 10%, and the tax in the second city was 8%. The total hotel tax paid for the two cities was $825. How much was the hotel charge in each city before tax?

Answers

Answer:

the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750

Step-by-step explanation:

Let a represent the charge in the first city before tax and b represent the charge in the second city before tax.

Therefore tax in first city = 10% of a = 0.1a

Tax in second city = 8% of b = 0.08b

From the total tax as $825, hence:

0.1a + 0.08b = 825           (1)

The hotel charge before tax in the second city was $1500 lower than in the first. This gives the equation:

b = a - 1500

a - b = 1500                    (2)

To find a and b, solve equation 1 and 2 simultaneously. Multiply equation 2 by 0.1 and subtract from equation 1:

0.18b = 675

b = $3750

a = b + 1500 = 3750 + 1500 = 5250

a = $5250

Therefore, the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750

What is the area of the triangle?

Answers

Answer:

289m2

Step-by-step explanation:

The mathematical formula  for the area of the triangle is:

base x height / 2

Someone please tell me the answers to this please I beg you

Answers

1) 216
2) 203
3) 315
4) 256
5) 576
6) 440

Find 3[g(4)] if g(x) = -2x + 10

Answers

Answer:

6

Step-by-step explanation:

= 3[-2(4) + 10]

= 3(-8 + 10)

= 3(2)

The function is given as  g(x) = -2x + 10 then the solution of the 3[g(4)] would be equal to 6.

What is a function?

A function is a type of relation, or rule, that maps one input to a specific single output.

Functions that are formed by composing two or more functions in a way that one's output is another's input are called composite functions.

They are also called functions of functions.

We have to find 3[g(4)] if g(x) = -2x + 10

3[g(4)] = 3[-2(4) + 10]

3[g(4)]  = 3(-8 + 10)

3[g(4)]  = 3(2)

3[g(4)]  = 6

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

A trapezoid has an area of 50 square units. The lengths of the bases are 10 units and 15 units. find the height.
(Explain how did you solve)

Answers

Step-by-step explanation:

area = ( base 1 + base 2 ) ÷ 2 x height

50 = ( 10 + 15) ÷2 x height

50 ÷ 12.5 = height

height = 4

A point at (-7, -6) is reflected over the x-axis. What is the distance between the point and its reflection?

6 units
7 units
12 units
14 units

Answers

Answer:

It Would be 14 units.

Step-by-step explanation:

Have a Great Day.

:)

Will accept Brainliest

Can someone please help me

Answers

Answer: I'm not to sure about this question its kind of confusing.

Step-by-step explanation:

how do you solve 27.5% of 88

Answers

answer:

im getting different answers so  wait ill do it myself

Step-by-step explanation:

D + -4 = 12
how do i find d?​

Answers

Answer: D=16

Add 4 to both sides

D=16

Answer:

Answer: 16

Step-by-step explanation:

Do 12 -(-4 to get D

12 -(-4 = 16

Tickets for a concert cost $10 each if you order them online, but you must pay a service charge of $8 per order. The tickets cost $12 each if you buy them at the door on the night of the concert. Write a system of equations to model the situation. (Identify your variables)

Answers

Answer:

below

Step-by-step explanation:

x: ticket

y: total cost

y= 10x + 8

y= 12x

Someone help me out. So the question is Distance = Rate x Time What is the distance traveled if it took me 3 hours to travel at a rate of 60 miles per hour?

Answers

Answer: 180 miles

Step-by-step explanation:

From the question, we should note that the distance taken will be calculated by using the formula which will be:

Distance = Rate × Time

where,

Rate = 60 miles per hour

Time = 3 hours

Distance = 60 × 3

Distance = 180 miles

Therefore, the distance travelled is 180 miles.

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