Simplify the following expression.

[tex]\displaystyle{\frac{4x+14}{2}\div\frac{4x+14}{x-6}}[/tex]

Answers

Answer 1

Answer:

[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6} = \frac{x - 6}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Dividing Fractions - KCF (Keep Change Flip)

Keep the 1st fraction the sameChange the sign from division to multiplicationFlip the 2nd fraction (reciprocate)

Algebra I

Terms/CoefficientsDomains

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6}[/tex]

Step 2: Simplify

Divide [KCF]:                    [tex]\displaystyle \frac{4x + 14}{2} \cdot \frac{x - 6}{4x + 14}[/tex]Multiply:                           [tex]\displaystyle \frac{(4x + 14)(x - 6)}{2(4x + 14)}[/tex]Divide:                             [tex]\displaystyle \frac{(x - 6)}{2}[/tex]

Extra:

If we were to graph this, we would need to watch out for domain restrictions or changes because we are combining 2 domains together when 1 of them has a restriction.

Answer 2

Answer:

(x-6)/2

Step-by-step explanation:

Turn the second fraction upside down and multiply two fractions

Simplify The Following Expression.[tex]\displaystyle{\frac{4x+14}{2}\div\frac{4x+14}{x-6}}[/tex]

Related Questions

9 divided by 2/3 - 7/12

answer quick pls
!!!

Answers

solution:
12.9166666667

find the greatest common factor of the number 12

Answers

Answer:

4 is the greatest common factor of 12

the greatest common factor of 12 is 4

please help me solve 9x-27=

Answers

Answer:

x = 3

Step-by-step explanation:

9x - 27 =?

      +27   +27

9x = 27

divide both sides by 9

x = 3

Hope this Helps!!!

Answer. X=3 I’m sure

A snack mix recipe uses a radio of 3/4 pound of dried apples to 1/2 pound of dried pears. What amount of dried apples would be needed per pound of dried pears?

Answers

Answer:

[tex]1\frac{1}{2}\:\mathrm{or\:}1.5\:\mathrm{pounds}[/tex]

Step-by-step explanation:

The current ratio is 3/4 pound of dried apples per 1/2 pound of dried pears. Since the new amount of dried pears is 1 pound or double the initial amount, the new amount of dried apples will be double the initial amount:

[tex]\frac{3}{4}\cdot 2=\frac{6}{4}=\frac{3}{2}=1\frac{1}{2}\:\mathrm{pounds}[/tex].

Penny makes $5,400 a month plus commission. She gets 3% of everything she sells. If Penny sold $62,000 worth of items this month, what is her salary for the month?

Answers

Answer:

Her salary for the month = $7260

Step-by-step explanation:

Amount sold = $62,000

Percentage rate = 3%

Salary from commission rate = Amount sold × Percentage rate

                                                = $62,000 × (3 / 100) = $1860

Total salary = Base salary + Salary from commission rate

                   = $5,400 + $1860

                   = $7260

Therefore, her salary for the month = $7260

En un triángulo rectángulo, uno de los ángulos agudos mide 25 grados. ¿Cuanto mide el otro ángulo?

Answers

Answer:

Step-by-step explanation:

Si

The measure of the other acute angle in the right triangle is 65 degrees.

In a right triangle, one of the acute angles measures 90 degrees, which is the right angle. The sum of the measures of the two acute angles in a right triangle is always 90 degrees.

Given that one of the acute angles measures 25 degrees, we can find the measure of the other acute angle by subtracting 25 degrees from 90 degrees:

Measure of the other acute angle = 90 degrees - 25 degrees

Measure of the other acute angle = 65 degrees

Therefore, the measure of the other acute angle in the right triangle is 65 degrees.

To know more about acute angle click here:

https://brainly.com/question/9385896

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The question is in Spanish the question in English is :

In a right triangle, one of the acute angles measures 25 degrees. What is the measure of the other angle?

Need help i will mark brainliest

Answers

Answer:

6 sq. in

Step-by-step explanation:

To find area of triangle: base* height *1/2

height needs to be at a 90 degree angle from the base.

In this example, the base is 3 in, and the height is 4 in.

Plug these two into the equation

3 * 4 * 1/2 = 12 * 0.5 = 6

Please helpppp........,

Answers

roc is 12. and x is 3
I don’t know ask someone else

How many Solutions does p + 9 = 2p - 3 have?

Answers

Answer:

P=12

Step-by-step explanation:

Wouldn’t it be p=3?

pleassssssssssss i need help

Answers

line segment AB and CD
It’s the First one AB and CD

write the equation of the line perpendicular to y=3/2x+3/2 that passes through the point (-1,2)​

Answers

Answer:

y = -2/3x + 4/3

Step-by-step explanation:

If two lines are perpendicular, the product of their slopes is -1

comparing what we have with the general form;

y = mx + b

The slope of the given equation is 3/2

To get the slope of other;

3/2 * m = -1

3m = -2

m = -2/3

So we want to write the point-slope equation

y-y1 = m(x-x1)

y-2 = -2/3(x + 1)

3y - 6 = -2x -2

3y = -2x -2 + 6

3y = -2x + 4

y = -2/3x + 4/3

✨1 kai 1 poso kanei✨

Answers

Answer:

i'M bOuTA.. DOIVE

Explanation:

Help meeeeee! plsssssssssssssssssssssssssssss

Answers

Step-by-step explanation:

Store a must offer 30%

25%
I hope this helped :)

What is the length of AB?
12 units
6
6 units
4
2
14 units
B
-8
-6
-4
-2
0
BX
-2
10 units
4
А
-6-

Answers

Answer:

12

Step-by-step explanation:

i counted 12 units from A to get to B

Answer:

I took the diagnostic and I don't know what it was. I wish they would tell you. But I think 14.

Please help I’ll give u 5 points

Answers

Answer:

1/2cup

as if 3and1/2cup is divided into 4people then in every one will get half cup.

Answer:

Each person gets [tex]\frac{7}{8}[/tex] cup of pudding.

Step-by-step explanation:

The problem is essentially asking;

[tex]3\frac{1}{2}[/tex] ÷ 4

(4 because the pudding has to be divided amongst Regina and her 3 friends, hence 4 people)

To divide fractions, first one has to convert from improper fractions to mixed numbers;

[tex]\frac{7}{2}[/tex] ÷ 4

Next, one has to reciprocate the second fraction, since the second number is an integer, one simply has to put the number as the denominator, and set the numerator to 1.

[tex]\frac{7}{2}[/tex] * [tex]\frac{1}{4}[/tex]

Now, one has to perform the multiplication, simply multiply the numerators and denominators together (there is no way of simplifying in this problem);

[tex]\frac{7}{8}[/tex]

Each person gets [tex]\frac{7}{8}[/tex] cup of pudding.

CORRECT ANSWER GETS BRAINLIEST!!!!!!!!
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Answers

Answer:

Step-by-step explanation:

Make a equation like 3m+10=37 and solve for m

Answer:

Elena walked 9 miles, Jada walked 13 miles, and Jin walked 15 miles.

Step-by-step explanation:

If you add the rectangles together, you get 3m + 10 = 37, so m = 9, and from then, you can add the number together to get the answers

let x=6 and z=2 write the ratio in simplest form

12. 2x=y/3


13.4z-3/x

Answers

Answer:

12. 10/3, which simplifies to 3 1/3

13. 5/6

Step-by-step explanation:

Lean ground beef costs $7.25 per pound. Which equation best represents y, the total cost of x pounds of lean ground beef?

a
x = 7.25 + y
b
y = 7.25 + x
c
x = 7.25y
d
y = 7.25x

Answers

ANSWER IS D ! mark brainliest:)

The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.

Given that,

Lean ground beef costs $7.25 per pound.

The total cost of x pounds of lean ground beef.

We have to determine,

The equation which represent y.

According to the question,

Lean ground beef costs $7.25 per pound.

The total cost of x pounds of lean ground beef.

The equation for representation the total cost y of x pounds is written as.

Total cost of pounds = Lean ground beef costs $7.25 per pound × cost of x pounds of lean ground beef.

The equation for total cost of y of x pounds,

y = (7.25).(x)

y = 7.25x

Hence, The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.

For more information about Linear equation click the link given below.

https://brainly.com/question/22272773

The non-fiction section of the Montgomery County Library has 15 racks. If each rack holds 528 books, what is the total collection of non-fiction books in the library.

Answers

Answer:

when you do 15×528 you get 7920 books

Please help with these questions there due today.

Answers

q5=2 q6=5 q7=12 q8=2

4/3(6y+21)-17>43 help pls

Answers

Answer:

Step-by-step explanation:

4/3(6y+21)-17=43

move all terms to the left:

4/3(6y+21)-17-(43)=0

Domain of the equation: 3(6y+21)!=0

y∈R

We add all the numbers together, and all the variables

4/3(6y+21)-60=0

You multiply all the terms by the denominator

-60*3(6y+21)+4=0

multiply elements

Phil started playing baseball on with a minor league team. When signing, he earned a $65 signing bonus. For each game he plays he earns $115. Write an equation in slope-intercept form to model this scenario. *

Answers

Answer:

y=115x+65

Step-by-step explanation:

He earns $115 per game shows that after getting a signing bonus, that is a constant amount he earn for each game. The slope is 115.

The y-intercept is 65 because after signing, he earns $65 for free.

Hope I helped! Good Luck!

help me plz plz will mark branliest

Answers

Step-by-step explanation:

On the first question, you would want to put the equation together. To find x you will put 2x+6=40. Subtract 6 on both sides and you will find your x value.

Complete the statement. Round to the nearest hundredth if necessary.

14 m= ft

Answers

14 m = 45.93 ft

(1 m = 3.28 ft)

All flour from five bags with 3/8
lbs of flour in each was divided
into equal parts to make 7 loaves of bread. How can you
calculate the amount of flour used for each loaf? Select all that
apply.
(A) 3/8·7/5 (B) 3/8·5/7(C) 3/8÷7· 5(D) 3/8· 7÷5 (E) 3/8÷5· 7 (F) 3/8· 5÷7

Answers

Answer:

B, C and F

Step-by-step explanation:

A student needs 3/4 pounds of modeling clay for a project. If each package has 1/8 pounds of clay how many packages of clay does the student need for his project

Answers

Answer:

6 packages

Step-by-step explanation:

Since the student needs a total of 3/4 pounds of modeling clay we need to calculate how much is 3/4 of 8 since that is the denominator being used to calculate each individual package of clay. Since 3/4 is equal to 0.75 we can simply multiply this by 8 to calculate the total amount of clay needed.

8 * 0.75 = 6

This means that the student will need 6/8 pounds of clay. Since each package brings 1/8 pounds this means that we would need a total of 6 packages in order to have enough clay.

6. Create an equation and solve for n.
5n - 11

Answers

Answer:

11-n=5

Step-by-step explanation:

Valerie Watkins is preparing walnut and raisin mix. Walnuts cost $2 per pound and raisins cost $3 per pound. She wants to spend exactly $22.50 for the walnut and raisins, and buy a total of 10 pounds. Solve the linear system where x represents the number of pounds of walnuts and y represents the pounds of raisins. How many pounds of walnuts will she need to buy? X + y = 10 2x + 3y = 22.5

Answers

Answer:

7.5 pounds

Step-by-step explanation:

multiply by 3.

3x+3y=30

2x+3y=22.5.

x=7.5.

7.5+2.5=10.

7.5 pounds of walnuts, 2.5 pounds of raisins.

Hope this helps :D

The following two triangles are similar. Side AB = 25, side PQ = 5, and side BC = 15. What is the length of side QR?

Answers

Answer:

25

Step-by-step explanation:since i helped can i have brainlst please that would be greatly apericated

Answer:

25

Step-by-step explanation:

A tire has a radius of 12 in. If that tire makes one full rotation how far does it travel?
5 rotations?
10 rotations?
Help

Answers

5 rotations
Hope this helps
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