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

Which equation is correct?
O 3.3 = 32 = 9
4. 4 = 2(4) = 8
7.7 = 2(7) = 49
O 14 - 14 = 142 = 28

Answers

Answer:

3.3 = [tex]3^{2}[/tex] = 9

Step-by-step explanation:

3.3=32=9 is the answer

1 2 3 4 5 6 7 8 10 Which set of steps will translate f(x) = 67 to g(x) = 67-5-7? Shift f(x) = 6X five units to the left and seven units up. Shift f(x) = 6' five units to the right and seven units down. Shift f(x) = 6 seven units to the right and five units up They Shift f(x) = 6' seven units to the left and five units down.​

Answers

Answer:

Shift f(x) = 6' seven units to the left and five units down.

Step-by-step explanation:



Brand A tortilla chips cost $3.50 for 12 ounces and Brand B tortilla chips cost $4.50 for 16 ounces.

a. Which brand of tortilla chips has the lowest unit price?

Answers

Answer:

Tortilla B

Step-by-step explanation:

Tortilla A is .29 per ounce

Tortilla B is .28 per ounce

You can find this by doing 3.50 divided by 12 and 4.50 divided by 16

MARK ME BRAINLIEST PLEASE

noah wrote that 6+6=12 then has write 6+6-n=12 what property of equality justifies that the equation are equivalent​

Answers

Answer:

This may be written incorrectly.

Assuming that this is written correctly, then we have that:

6 + 6 = 12

is equivalent to:

6 + 6 - n = 12

Here the properties that we can add 0 in one side of the equality and this does not change the equality, so this only works if n = 0.

If we instead had:

6 + 6 = 12

is equivalent to:

6 + 6  - n = 12 - n

In this case, Noah used the additive or subtractive property of equality.

this property says that in an equality we can add (or subtract) the same value on both sides, and it does not change the equality.

No Links or I will report you Algebra 1 help 2 questions Interpret Exponential Function Constant

Answers

Answer:

1) The function is decreasing exponentially at a rate of 15% every decade.

2) The function is increasing exponentially at a rate of 20% every year.

Step-by-step explanation:

1) 1–0.85 = 0.15

0.15 x 100 = 15%

2) 1.2–1 = 0.2

0.2 x 100 = 20%

1. The French Club will wash cars for $5 each to raise money for a trip to Quebec. Their profit is determined by taking this revenue and subtracting $15 for the supplies they purchased, and is modeled by the function p = 5C - 15, where c is the number of cars washed. If the French club can wash up to 5 cars in an hour, what is the range of the function for this situation?
A {0,1,2,3,4,5}
B 0 < c < 5
C -15 < p < 10
D { -15,-10,-5,0,5,10}​

Answers

Answer:

p=5c-15=p=5×5-15 =-15<p>10

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
In a circle with a 12-inch radius, find the length of a segment joining the midpoint of a 20-inch chord and the center of the circle.

x =

Answers

Answer:

X=295.6

Step-by-step explanation:

I took the test

Answer:

295.6

Step-by-step explanation:

Simon wants to earn as many points as possible in one turn in a game. Two number cubes whose sides are numbered 1 through 6 are rolled. He is given two options for the manner in which points are awarded in the turn. OPTION A: If the sum of the rolls is a prime number, Simon receives 15 points. OPTION B: If the sum of the rolls is a multiple of 3, Simon receives 12 points. Which statement best explains the option he should choose?

Answers

Answer:

The answer is "Option A"

Step-by-step explanation:

In point A:  

Rolling an indivisible prime number:  

The 2 can be moved just 1 way (1,1)  

The 3 can be moved two different ways (1,2) or (2,1)  

The 5 can be moved four different ways (1,4) or (2,3) or (3,2) or (4,1)  

The 7 can be moved six different ways (1,6) or (2,5) or (3,4) or (4,3) or (5,2) or (6,1)  

The 11 can be moved two different ways (5,6) or (6,5)  

There are 26 approaches to move two dice at a time.  

The likelihood of rolling an indivisible number is: [tex]=\frac{(1 + 2 + 4 + 6 + 2)}{36} =\frac{15}{36}[/tex]

Because rolling an indivisible number is worth 15 focuses, the normal worth is [tex](\frac{15}{36}) \times 15 = 6.25[/tex]

In point B:

When the rolling is a numerous of 3:  

The 3 can be moved two different ways (1,2) or (2,10  

The 6 can be moved five different ways (1,5) or (2,4) or (3,3) or (4,2) or (5,1)  

The 9 can be moved four different ways (3,6) or (4,5) or (5,4) or (6,3)  

The 12 can be moved just 1 way (6,6)  

The likelihood of rolling a numerous of 3 will be:[tex]= \frac{(3 + 6 + 9 + 12)}{36} = \frac{12}{36}[/tex]

because the rolling in the various of 3 is worth 12 focuses, the normal worth is[tex](\frac{12}{36}) \times 12 = 4[/tex]

➢ How many centimeters is one kilometer _________

Answers

Answer:

1 kilometer is equal to 1000 meters and 1 meter is equal to 100 centimeters. So, there are 1,00,000 centimeters in a kilometer.

Step-by-step explanation:

Answer:

There are 100,000 centimeters in a kilometer, which is why we use this value in the formula above.

Step-by-step explanation:

I need help I will give brainliest I promise please helpppp

Answers

The answer is C, 40!
8% of 500 is 40.

Kevin rode 24 km in 2 hours. At that rate, how long would it take him to ride 120 km?

Answers

Answer:

10 hours

Step-by-step explanation:

We can convert the speed to km/h, and to do this, you simply have to find the amount Kevin rides in 1 hour. So,

24/2 = x/1

x = 12

So, now we see that Kevin rides at approximately 12 kmph. Now, instead of finding the distance, we need to find the hour at 120 km.

12/1 = 120/x

x = 10

Write the equations of the lines on the grid.

Answers

Answer;
red line: y = x
green line: y = -x

A dinner plate has a radius of 4 inches. What is the plate's circumference?

Answers

Answer: 8 inches

Step-by-step explanation:

Answer: 25.12

Step-by-step explanation:

C= 2πR

= 2 * 3.14*4

= 25.12

The graph of the quadratic parent function was transformed to create the graph g(x) = f(x) - 9. Which statement about the graphs is true?

Answers Choices
A The graph of g is a reflection of the graph of f across the x-axis.
B. The vertex of the graph is 9 units to the right of the vertex of the graph of f
C. The graph of g is a reflection of the graph of f across the y-axis.
D. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

Answers

9514 1404 393

Answer:

  D. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

Step-by-step explanation:

Subtracting 9 from the function value moves every point on the graph down 9 units. That includes the y-intercept.

  D. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

if the area of a rectangle is 48 square feet and the width of the rectangle is 6 feet what is the perimeter of the rectangle

Answers

Answer:

28 ft

Step-by-step explanation:

the perimeter of the rectangle is 28 feet

Samuel ate
1/2 of the oatmeal cookies and 2/3 of the
sugar cookies for a total of 18 cookies. The number
of oatmeal cookies he ate was six more than the
number of sugar cookies he ate. How many sugar
cookies did he eat?

Answers

Answer:

9 sugar cookies

Step-by-step explanation:

Let the number of sugar cookies be x.

If the number of oatmeal cookies was six more than the number of sugar cookies, then oatmeal cookies can be represented by x + 6.

So, we know that Samuel ate half of the oatmeal cookies and 2/3 of the sugar cookies, for a total of 18 cookies. Let's represent this with an equation.

x + x + 6 = 18

2x + 6 = 18

2x = 12

x = 6

So x represents 6. Recall that he ate 2/3 of the sugar cookies, so 2 parts of sugar cookies is 6.

Therefore, we can do this:

(3/2) x 6 = 9 cookies

This is essentially saying, "I want to find 3 parts if 2 parts is 6 cookies."

He ate 9 sugar cookies.

I need help I already posted but no one replied.
only 1,2,5

Answers

1. The volume is 263.0 cm3
5. The area of the base is 50.2cm2.
The area of the curved surface is 351.7 cm2.
The total surface area would be 401.9 cm2.

PLZZZZZZZZZZZZ help asap no links please

Answers

If you show the menu I can help

Answer:

According to the instructions there should be an attached menu could you add that? Thanks :)

Step-by-step explanation:

can someone help me with this?

Answers

Did Lucy score the exact same as Eva or something else

Help me with the question also explain the work. If you can send a picture of what you did that would be also helpful. thx ;)

Answers

answer: x = -7/4

12 = -4x +5

Subtract 5 from both sides.

7 = -4x

Divide both sides by -4.

-7/4 = x

Flip if you want.

x = -7/4

:)

Answer:

-43

Step-by-step explanation:

Help plz will mark brainliest

Answers

Answer: it is 2 ft

Step-by-step explanation:

because you have to do 12/3 and that equals 4 and then you have to do 4/2 and that equals 2

Selina surveyed 150 people to find out which of five sports they prefer to watch TV on. The results of the survey are shown in the table.

If you were to randomly choose one of the people Selina surveyed, which statement would be true about that person?

Answers

Answer:

C

Step-by-step explanation:

They would be 3x more likely to choose football over tennis, since tennis is 13 and football is 39

39/3=13

Final answer is C

In a class, there are 24 boys to 18 girls. What is the ratio of boys to the total number of students in the class?

Options:
a. 24:24
b. 24:42
c. 42:24
d. 18:42

Answers

Answer:

B. 24:42

Step-by-step explanation:

24 boys to 18 girls, total students:

24 + 18 = 42

Ratio of boys to the total number of students:

28 : 42

Correct choice is B

Answer:

Solution given;

girl's=18

boys=24

total no of students=24+18=42

now

the ratio of boys to the total number of students in the class=[tex] \frac{24}{42} [/tex]

=24:42is the required ratio.

_2. You have a part-time job 4 days per week, 5 hours per day. How many hours will you work in two weeks?
A) 10
B) 20
C) 40
D) 80

Answers

Answer:

C) 40

Step-by-step explanation:

For every one day your work is 5 hours.

1 day = 5 hours

Set up a proportion so it would be:

[tex]\frac{1 day}{5 hours} = \frac{4 days}{x hours}[/tex]

4 days x 5 hours = 20 hours/week

So now you know you know you work 20 hours/week, then multiply by 2 since they're asking how many hours will you work in two weeks:

20 hours x 2 weeks = 40 hours in two weeks

Those who have taken the Algebra EOC please answer.

Was it easy? What were the hardest parts? What should i study more to pass it?

Answers

Step-by-step explanation:

To me yes.

Algebra is mostly memorization. If you know the formulas and know how to apply it, you should do good.

I say use this. Algebra topics are like building on top each other.

Heart of Algebra:

Review what the purpose of x in algebra.Then learn things like combining like terms, and solving for x.Since you know the basics of x, you can then review linear equations( imo, a big content of algebra). Stuff like slope, different linear forms, graphs of linear equations, and mostly linear equation word problemsThen you can review system of equations. since you know how to manipulate linear equations, etc.

Then move on to other algebra topics dealing with algebra like

functions, and different types of themexponents, and radicals rulesinequalities.sequences.These aren't the heart of algebra but study them they are useful and it important to know them.

Since you learned different function rules, we can move on to learning exponetial functions, graphs, and word problems.

Then finally, learn most hard thing in Algebra: Quadratics.

Pratice,practice, and practice and you will pass.

Try to memorize the formulas and know when to apply it.

Good Luck

A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20

Answers

Complete Question

A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20 dozen?

Answer:

11 2/3 cups of flour

Step-by-step explanation:

From the above question:

6 dozen = 3 1/2 cups of flour

20 dozen = x

Cross Multiply

6 dozen × x = 20 dozen × 3 1/2 cups of flour

x = 20 dozen × 3 1/2 cups of flour/6 dozen

x = 20 × 7/2 /6

x = 140/2 ÷ 6

x = 140/2 × 1/6

x = 140/12 cups of flour

x = 11 8/12

= 11 2/3 cups of flour

Therefore, 11 2/3 cups of flour must be used to make 20 dozen.

5) What is the median of the data? 5, 28, 16, 32, 5, 16, 48, 29, 5, 35
O 22
O 43
O 5
O 21.9

Answers

Answer:

the answer is 22

Step-by-step explanation:

hoped I helped! i had messed up the first time lol

the answer for this is 22

A dinner plate has a radius of 6 inches. What is the diameter of the plate in inches?

Answers

Answer:

the plate diameter is 12 u just times the radius by 2

Step-by-step explanation:

The circumference of a circle is 8pi What is the radius?

Answers

Answer:

4

Step-by-step explanation:

someone help me please ​

Answers

Answer:

[tex]426.9km^{2}[/tex]

Step-by-step explanation:

Area of the shaded region→

[tex]A=\frac{1}{2}*40*27-\pi *6^{2}[/tex]

→ [tex]540-113.04[/tex]

→[tex]426.9[/tex]

[tex]---------[/tex]

hope it helps..

have a great day!!!

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