Explain the differences in the process of adding two rational expressions using the lowest common denominator (LCD) and adding them using a common denominator that is not the LCD. Include an example in your explanation.

Solve. To solve this equation, you must change the divide sign into a multiplication sign.

To do so, change it into a multiplication sign, and flip the second fraction

(5/12)/(2/11) = 5/12 x 11/2

Multiply across

5/12 x 11/2 = 55/24

55/24, or 4 7/12

hope this helps

~Rise Above the Ordinary

Answer:

55/24

Step-by-step explanation:

First you flip the second fraction because its division-

2/11=11/2

Therefor-

5/12*11/2=55/24

part A:

company a

30m+15

m= matress

company b

28m+21

m=matresses sold

part B:

company a

30(6)+15

195$

company b

28(6)+21

189$

company B charges less

part C:

company a

30(3)+15

105$

company b

28(3)+21

105$

there is no change at all so you do not save anything.

Equations represent Company A and B's charges. Company B charges less to clean 6 mattresses. No savings are made cleaning 3 mattresses with Company B compared to Company A.

Part A: Let x represent the number of mattresses. The total charges for Company A can be represented by the equation: y = 30x + 15, where y is the total cost. The total charges for Company B can be represented by the equation: y = 28x + 21, where y is the total cost.

Part B: To determine which company would charge less for cleaning 6 mattresses, we substitute x = 6 in both equations:

Company A: y = 30(6) + 15 = 180 + 15 = $195

Company B: y = 28(6) + 21 = 168 + 21 = $189

Therefore, Company B charges less for cleaning 6 mattresses.

Part C: To find out how much money is saved by using Company B instead of Company A to clean 3 mattresses, we substitute x = 3 in both equations:

Company A: y = 30(3) + 15 = 90 + 15 = $105

Company B: y = 28(3) + 21 = 84 + 21 = $105

The charges are the same for 3 mattresses, so there is no money saved by using Company B instead of Company A.

This would be 72 Inches. Or 6 feet.

*(Step-By-Step)*

[tex]15.8+14.9+16.7+17.6+13.4=78.4[tex]     Add all numbers

[tex]78.4/5=15.68[/tex]        Divide 5 which is the number of data set to 78.4

*(Answer)*= The mean is 15.68

The smallest value is 56.

First even number + second even number + third even number = 174

First even number: x

Second even number: x + 2

Third even number: x + 4

So, (x) + (x+2) + (x+4) = 174

3x + 6 = 174

3x = 168

x = 56

(56 + 58 + 60 = 174)

Final answer:

The smallest of the three consecutive even numbers whose sum is 174 is determined by setting up an equation and solving for x, which represents the smallest number. The solution reveals that the smallest number is 56.

Explanation:

The question asks for the smallest of three consecutive even numbers whose sum is 174. To find the numbers, we can set up an equation where x represents the smallest even number, x+2 represents the second number, and x+4 represents the third number. The equation will be x + (x+2) + (x+4) = 174. When we solve it, we combine like terms to get 3x + 6 = 174, then subtract 6 from both sides to get 3x = 168, and finally divide by 3 to get x = 56. Therefore, the smallest of the three consecutive even numbers is 56.

The and would be y=-1/3x-5 because to find slope you would use the equation y2-y1 divided by x2-x1 and find the slope of -4/12 which simplifies to -1/3 and the y-int is -5 so you would just plug that in.

11.)

 x                                y

75                          50

175                        50

x                           y

10. it isn't a function because an x value was repeated

11. x= 1,2,3,4

y= 125, 175, 225, 275

this is a function

distributive property because you are distributing the 2

Your answer is b

X^3-8= (x-2)(x^2+2x+4)

To check you multiply each term on first expression to the second expression .

(X-2)(x^2+2x+4)

X(x^2)+x(2x)+x(4) +(-2(x^2)-2(2x)-2(4))

Simplify

X^3+2x^2+4x-2x^2-4x-8

Subtract 2x^2 from 2x^2

X^3+4x+0-4x-8

Add x^3 And 0

X^3+4x-4x-8

Subtract x^3-0

X^3-8

answer: y = 1/2x - 3

why?: if you go 1 unit up (which is positive) and go right 2 units (which is positive). you will get 1/2 as your slope. the y-intercept would be -3 because the line passes through the y-axis on -3.

Answer:

6 is a factor and 36 is neither and 48 is a multiple

Step-by-step explanation:

8 degrees per hour because 32/4 is 8. Hope that helped!

Jess buys a total of 17/16 pounds, which is equivalent to 1 1/8 pounds, of turkey and cheese combined.

Jess buys 5/8 pound of turkey and 7/16 pound of cheese. To find out how much turkey and cheese Jess buys in total, we need to add these two amounts together. Since both quantities are given in pounds, we can add them directly.

First, let's find a common denominator for the fractions 5/8 and 7/16. The common denominator is 16. Now we write 5/8 with the common denominator, which is the same as 10/16. With the fractions having the same denominator, we can add the numerators together:

(10/16) + (7/16) = (10+7)/16

17/16 pounds

So, Jess buys a total of 17/16 pounds of turkey and cheese. This is equivalent to 1 ⅛ pounds when expressed as a mixed number.

Answer:

2083.33

Step-by-step explanation:

plug in equals = 2500/1+(0.05 x 4)

Is 2083.3 repeating

Round to the nearest cent is 2083.33

First you need to subtract 16 from each side.

-8y=4x-16

And divide -8 from each side

Y=4/8x-2

Reduce fraction

Y=1/2x-2

Answer:

Total number of jolly ranchers= 140

Total number of candy bars= 60

Now , we have to place jolly and candy into gift bags such that no pieces of candy should left.

1. Find the ratio of jolly ranchers and candy bars

 = 140/60

= 7/3

So, possible combination are (7,3),(14,6),(28,12),(35,15),(70,30).

1.So,in combination (7,3), number of bags=[tex]\frac{Total candy}{(7+3)}[/tex]

                                                                  =[tex]\frac{200}{10}[/tex]

                                                                  =20

2. Number of Bags(14,6)=200÷20=10

3.Number of Bags(28,12)=200÷40=5

4.Number of Bags(35,15)= 200÷50=4

5.Number of Bags(70,30)=200÷100=2

Combination (1) in which there are 7 Jolly ranchers and 3 candy bars has the most amount of bags which is 20.

[tex]\frac{2}{3} n[/tex] [tex]+ 8[/tex][tex]=\frac{1}{2} n[/tex] [tex]+2[/tex]

Divide the total amount traveled with the time it took.

21/3 = 7/1

Alba's average speed is 7 miles per hour

hope this helps

7 miles per hour.  21/3

(-3 ft)/(4 weeks) = -3/4 ft/wk = -0.75 ft/wk

The most approriate choice is ...

... (c) -0.75

The unit rate of change for the dropping lake's level is -0.75, calculated by dividing the total drop in levels (3 feet) by the total time (4 weeks). As the lake's level is dropping, the rate of change is negative.

The question is asking us to find the unit rate of change in the lake's level, which means the amount the level has changed per unit of time. In this case, the time unit is weeks.

The lake has dropped 3 feet over 4 weeks, so to calculate the unit rate of change, we divide the total change (3 feet) by the total time (4 weeks). This results in a unit rate of change of 0.75 feet per week. However, since the lake's level is dropping, this should be a negative number.

So, the correct answer is (c) -0.75.

https://brainly.com/question/31643251

#SPJ3

Answer:

The teacher establishes 7 work stations in each of the classrooms.

Step-by-step explanation:

Each work station has 1/16 pounds of clay.

There are two classrooms with the same number of workstations.

The total amount of clay is 7/8

Then, we look for a number of work stations per classroom x, which multiplied by the number of classrooms (2) and multiplied by the amount of clay per work station (1/16) is equal 7/8.

Then we propose the following equation

[tex]\frac{1}{16}(2x) =\frac{7}{8}\\\\ \frac{2}{16}x = \frac{7}{8}\\\\ x = \frac{16 * 7}{8 * 2}\\\\ x = 7[/tex]

The teacher establishes 7 work stations in each of the classrooms.

Workstations  the teacher set up in each of the classrooms is is mathematically given as

x=7

Question Parameters:

An art teacher has a total of 7/8 pound of clay.

The teacher puts 1/16 pound of clay at each workstation.

The teacher sets up an equal number of workstations in each of 2 classrooms

Generally the equation for the  workstations is mathematically given as

1/16(x)=7/8

x=16*7/(8*2)

x=7

Therefore,workstations  the teacher set up in each of the classrooms is

x=7

For more information on Arithmetic

https://brainly.com/question/22568180

2 * 10 to the 7th plus 6 * 10 to the 6th plus 3*10 to the 5th plus 5000 plus 20 + 6

2 * 10 to the 7th plus 6 * 10 to the 6th plus 3*10 to the 5th plus 5 * 10 to the third plus 20 + 6

Two other ways to write this equation are

1. Standard Form: 26,305,026

2. Written Form: Twenty six million, three hundred five thousand, twenty six.

Answer:

1. 26:5 or  

[tex]\frac{26}{5}[/tex] or

5.2 as a decimal

2. 21:26 or  

[tex]\frac{21}{26}[/tex] or

0.81 as a decimal

3. 21:5 or  

[tex]\frac{21}{5}[/tex] or

4.2 as a decimal

4. 5:21 or  

[tex]\frac{5}{21}[/tex] or

0.24 as a decimal

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.  

To write a ratio, we count the number of each quantity we are comparing. A part to whole ratio for letters and vowels would be the part compared to the whole. For example, there are 21 consonants to 26 letters in the alphabet. We write 21:26 or [tex]\frac{21}{26}[/tex] or 0.81. We can also compare the number of vowels which is 5:26 or

A part to part ration compares a part to a part like the number of consonants is 21 with the number of vowels is 5. We write the ratio as consonants : vowels.  

21:5 or  

[tex]\frac{21}{5}[/tex] or

4.2 as a decimal.  

We can reverse and write vowels : consonants.

5:21 or  

[tex]\frac{5}{21}[/tex] or

0.24 as a decimal.  

Answer:

slope is 1

Step-by-step explanation:

1 is the coefficient of x variable

so slope is 1

Ig yook yen 4 days to get to their destination.

Answer:

18.4 but io do not know what expression can be used to find out your questions

Step-by-step explanation:

Answer:

A. 1/5 × 92 is the Expression that can be used in order to find 20% of 92.

Answer:

4

Step-by-step explanation:

Answer:

The answer is 8 sides.

Step-by-step explanation:

A plane intersects a prism parallel to the base of the prism. The cross section is a polygon with eight sides. The base of the prism has also 8 sides.

The cross-section of a plane parallel to the base is the same shape as the base. The cross section is also an eight sided polygon, so, the base of the prism has 8 sides.

To find the row of numbers that represent sums with one addend of 10, look at the addition table and locate the row with 10 as the first number.

To show a row of numbers that represent sums with one addend of 10, we can look at the addition table. In this table, we find the row where the first number is 10.

The numbers in this row will be the sums with 10 as one of the addends. For example, in the row where the first number is 10, the second number will be 10+0=10, the third number will be 10+1=11, and so on.

https://brainly.com/question/35485739

#SPJ11

The requested row in the addition table consists of sums of numbers 1-10, with an addend of 10. The sums range from 11 (10 + 1) to 20 (10 + 10).

In mathematics, an addition table is a table used to define the operation of addition. The question is asking for a row of numbers that represent sums when one of the numbers added (one addend) is 10. So, for example, if we are adding 10 to a series of numbers 1 through 10, the row in the addition table would look like this:

https://brainly.com/question/35006189

#SPJ2

The statement that does not describe 10x is the quotient of 10 and x.

The correct answer is D.)the quotient of 10 and x. This is because 10x represents the product of 10 and x, or 10 times x. It can also be written as x times 10. However, it does not represent the quotient of 10 and x.

https://brainly.com/question/16810519

#SPJ3