adding and subtracting mixed numbers

[tex]36x^{18}+60x^9y^2+25y^4=6^2x^{9\cdot2}+2\cdot6x^9\cdot5y^2+5^2y^{2\cdot2}\\\\=6^2(x^9)^2+2\cdot6x^9\cdot5y^2+5^2(y^2)^2\qquad(*)\\\\=(6x^9)^2+2\cdot6x^9\cdot5y^2+(5y^2)^2\qquad(**)\\\\=(6x^9+5y^2)^2=(6x^2+5y^2)(6x^9+5y^2)\\\\Used:\\\\(*)\qquad(a^n)^m=a^{nm}\\\\(**)\qquad(a+b)^2=a^2+2ab+b^2[/tex]

Hello there!

First you had to solving by the fractions parts.

[tex]\frac{5}{9}+\frac{7}{9}=\frac{12}{9}[/tex]

Then you reducing by the fraction parts of 12/9.

[tex]\frac{12}{9}=\frac{4}{3}[/tex]

And finally, you simplify by the fraction parts of 4/3.

[tex]\frac{4}{3}=1 \frac{1}{3}[/tex]

Solution by Formulas

Applying the fractions formula for addiction.

[tex]\frac{(5*9)+(7*9)}{9*9}[/tex]

[tex]\frac{45+63}{81}[/tex]

[tex]=\frac{108}{81}[/tex]

Simplifying 108/81 and the answer is

[tex]=1 \frac{1}{3}[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

The sum of 5/9 and 7/9 expressed as a mixed fraction is [tex] 1 \frac{1}{3}[/tex]

L.C.M of the denominator is 9

Now we have ;

5/9 + 7/9 = (5 + 7)/9 = 12/9

Rewriting as a mixed fraction :

12/9 = [tex] 1 \frac{1}{3}[/tex]

Therefore, the sum of the fractions expressed as a mixed fraction is [tex] 1 \frac{1}{3}[/tex]

Learn more on fractions :https://brainly.com/question/78672

#SPJ2

Answer:

Answer:

X = 5

Step-by-step explanation:

Step 1: Add 7 to both sides.

4x − 7 + 7 = 13 + 7

4x = 20

Step 2: Divide both sides by 4.

4x/4 = 20/4

X = 5

Hope this helps :-)

Amount of blue dye mixed with one gallon of white paint=[tex]\frac{3}{4}[/tex]

Amount needed for 8 gallons = [tex]\frac{3}{4}\times8=6[/tex] ounce

Amount of pink dye mixed with one gallon of white paint=[tex]\frac{2}{3}[/tex]

Amount needed for 8 gallons = [tex]\frac{2}{3}\times8= \frac{16}{3}[/tex] ounces

So, total dye required =[tex]6+\frac{16}{3}=\frac{18+16}{3}=\frac{34}{3}[/tex]

or

[tex]11\frac{1}{3}[/tex] ounces.

Hence, option C is correct.

the answer is D

you divide 46.06 by 22 and it will give you the cost of what each employee needs to contribute

50-500=450

450/15=30

30 weeks

Albert needs 30 weeks to save $500, starting with an initial $50 and depositing $15 each week after.

The subject of this problem is saving money over time. Albert starts with an initial amount of $50. Each week afterward, he adds an additional $15 to his savings. If he wants to save a total of $500, we need to figure out how many weeks that will take.

Since Albert already starts with $50, we first subtract that from $500, the total he wants to save, which leaves $450.

Then, we divide 450 by the amount Albert saves each week, $15. This equals 30, meaning it will take Albert 30 weeks to save $500.

https://brainly.com/question/25192498

#SPJ12

answer: $94.12

work:

let's start by finding the tax.

step one: convert the percentage into a decimal by dividing it by 100.

4 / 100 = 0.04

next, multiply your total by the tax

$90.5 x 0.04 = 3.62.

next, add the tax to the original price to see your new total.

$90.5 + $3.62 = $94.12

so, your total with tax would be $94.12.

i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom

Answer: 20.87/21 minutes

Step-by-step explanation: 1858/2 = 20.8764044944

                                             2 x 20.8764044944 = 1858

It takes approximately 21 minutes for the copier to print 1,858 copies, given that the copier prints at a rate of 89 copies per minute.

To determine how long it takes for the copier to print 1,858 copies, we can set up a proportion since we know the rate at which the copier prints is 89 copies per minute. We calculate the time it would take by dividing the total number of copies needed by the number of copies the machine can print per minute:

Time (in minutes) = Total Copies ÷ Rate

Time (in minutes) = 1,858 copies ÷ 89 copies per minute

After performing the division, we find that:

Time (in minutes) = 20.8764 minutes

Since we generally measure time in whole minutes when it comes to using office equipment, we can round this to the nearest whole number, thus giving us approximately 21 minutes to complete the printing task.

Answer:

Option D

the weights would be the best deal is [tex]2\frac{7}{8}[/tex]

Step-by-step explanation:

The price of all meat packages are marked $12.99.

To find the best deal we have to show that the weight of which  package will be greatest.

The weight of each packages are written as a mixed fraction as follows;

[tex]2\frac{2}{3} , 2\frac{9}{11} , 2\frac{4}{5} , 2\frac{7}{8}[/tex]

Now, convert these improper fraction into proper fraction.

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

[tex]2\frac{9}{11}=\frac{31}{11}[/tex]

[tex]2\frac{4}{5}=\frac{24}{5}[/tex]

[tex]2\frac{7}{8}=\frac{23}{8}[/tex]

To make their denominators same,

the LCM(Least common multiples) of the denominators(11, 3, 5, 8) is 1320.

So,

[tex]\frac{8}{3}= \frac{8\cdot 440}{3\cdot 440} =\frac{3520}{1320}[/tex]

[tex]\frac{31}{11}= \frac{31\cdot 120}{11\cdot 120} =\frac{3720}{1320}[/tex]

[tex]\frac{14}{5} =\frac{14\cdot 264}{5\cdot 264}= \frac{3696}{1320}[/tex]

[tex]\frac{23}{8}=\frac{23\cdot 165}{8\cdot 165} =\frac{3795}{1320}[/tex]

As, you can see that the only fraction is greatest is [tex]\frac{3795}{1320}[/tex]

therefore, the weight [tex]2\frac{7}{8}[/tex] would be the best deal.

Th wholesale would be $30

$50.60 do you need to know how

The temperature decreased by 12°F from 7pm to 7am.

The temperature change from 7pm to 7am can be calculated by finding the difference between the temperatures at those times. At 7am last night, the temperature was 10°F.

At 7am the next morning, the temperature was -2°F. To find the temperature change, subtract the initial temperature from the final temperature: -2°F - 10°F = -12°F. Therefore, the temperature decreased by 12°F from 7pm to 7am.

https://brainly.com/question/28884653

#SPJ2

17 < 9 + x    Subtract 9 from both sides.

17 - 9 < 9 - 9 + x

8 < x

Be very careful that you leave the open end of the less than symbol pointing towards the x It means that x is greater than 8.

You could write it the other way x > 8 but the pointy end must always be closest to the 7 which is another way of saying what the answer means.

Notice anything after the 8 going right is colored and it is the answer.

Lets set up an equation to easier understand this.

1/1.5 = 3.7/x   (x represents the unknown km)

We know that whatever you do to the top you do to the bottom.

And we can see that 1 x 1.5 = 1.5

So we can multiply the same thing by 3.7

1.5 x 3.7 = 5.55

So in this case you would travel 5.55 km in 3.7 seconds.

GOOD LUCK :)

Hi the answer is d 40 i hope this helps,

4+4 is 8

8+8 is 16

12+16 is 24

So 16+24 is 40

The answer is C. 32. As you can see, the first variable is multiplied by the second variable of the table. Thus, you would have to multiply 8 and 4. Which would give you the answer of 32.

Answer:

The diameter is 13.88 feet.

Step-by-step explanation:

1. The formula for calculate the volume of a sphere is:

[tex]V=\frac{3}{4}(r^{3}\pi)[/tex]

Where [tex]r[/tex] is the radius.

2. The diameter is:

[tex]D=2r[/tex]

3. So, you must solve for the radius in the first equation:

[tex]r=\sqrt[3]{\frac{4V}{3\pi}}[/tex] 

[tex]r=\sqrt[3]{\frac{4(790.272ft^{3} )}{3\pi}}\\r=6.94ft[/tex]

4. Then, the diameter is:

[tex]D=2(6.94ft)\\D=13.88ft[/tex]

3(4x - 2) = 30

12x - 6 = 30   distributed 3 on the left side

     +6   +6

12x      = 36

     [tex]\frac{12x}{12} = \frac{36}{12}[/tex]

      x = 3

Answer: x = 3

the answer is c. (18)(60)t would give you the amount of corn removed from the silo to be subtracted from the original amount, which would tell you how much corn is in the silo after t  hours. hope this helps :)

99 and division and multiplication.

So that would be the same thing as 5 4/5 - 3 2/7

Put them in mixed fractions to become 29/5 - 23/7

Multiply one side by 7 and one side by 5 to get the same denominator  

203/35 - 115/35

Now subtract the numerators to get

88/35

Or if they want it inixed numbers then 2 18/35

54/5 - 32/ 7

=(378 -160)/ 35

=218/35

The picture is only one white dot

The new formula for B6 cell will be B6=A6*2

Answer:

B6 =A6*2

Step-by-step explanation:

In Excel, the rectangular box where the rows and column intersect is called cell. The raws are represented by  1, 2, 3, 4, ................, the columns are represented by A, B, C, D,........,The notation of a cell is 'column row',

When we fill a formula in a cell then it can be proceed in below cells.

Here, the given formula,

B5=A5*2

Since, B6 is the below cell of the cell B5,

And, A6 is the below cell of the cell A5,

Thus, the new formula would be,

B6 =A6*2

note a square is a 2 dimensional figure and so cannot have volume.

However, the 3 dimensional solid you may mean is a cube and the volume of a cube is

V = s³ ( where s is the length of the side )

here s = 4x, hence

V = (4x)³ = 64x³

[tex]2x-3\geq0\\2x\geq3\\x\geq\dfrac{3}{2}\\\\|x+8|=2x-3\\\\x+8=2x-3 \vee x+8=-2x+3\\\\x=11 \vee 3x=-5\\\\x=11 \vee x=-\dfrac{5}{3}\\\\-\dfrac{5}{3}\not \geq \dfrac{3}{2}\\\\\boxed{x=11}[/tex]

Cold Farms:

Small box

1 pint = $2.50

1 quart = $4.50

Large Box

1 quart = 2 pints .

2 pints  = $4.50

1 pint = $4.50 / 2 = $2.25

Cone Dreams:

Small box

1 quart = $4.25 and

1 pint = $4.25/2 =  $ 2.125

Large Box

1 gallon = $9.50.

1 gallon = 8 pints

8 pints = $9.50.

1 pint = $9.50 / 8 = $ 1.1875.

Answer:

The larger size of the cold farm ice cream is the better deal . To get the equivalent volume of the small size to the large size , one needs to spend $2.5 + $2.5 = $5.0 where as for the larger size you will only spend $ 4.5.

Step-by-step explanation:

The price for cold farm ice cream for the small size is $2.5 for 1 pint and for the larger size it is $4.5 for 1 quarts. Sheldon wants to know the better deal for the size container of cold farm ice cream.

Firstly, the prices are in different volume unit we need to convert them to the same units.

1 pints = 0.5 quarts

That means small size of cold farm ice cream is $ 2.5 for 0.5 quart and larger size is $ 4.5 for 1 quart.

Small size  

$2.5 for 0.5 quart

$5.0 for 1 quart

Larger size  

$ 4.5 for 1 quart

The larger size of the cold farm ice cream is the better deal . To get the equivalent volume of larger size , one needs to spend $2.5 + $2.5 = $5.0 where as for the larger size you will only spend $ 4.5.

The slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have:

[tex](2,\ -5)\to x_1=2,\ y_1=-5\\(-1,\ -1)\to x_2=-1,\ y_2=-1[/tex]

Substitute:

[tex]m=\dfrac{-1-(-5)}{-1-2}=\dfrac{-1+5}{-3}=\dfrac{4}{-3}=-\dfrac{4}{3}[/tex]

y=0.5(x−1)

Hope i helped

y=2x+1, replace x by y and vice versa

x=2y+1 now solve for y

y=0.5(x-1)

The values of data that may affect the statistical measures of center and spread are the outliers and extreme values in the female dataset.

Statistical measures of center include the mean, median, and mode, while measures of spread include the range, interquartile range (IQR), variance, and standard deviation.

 From the given box plots:

 For males:

- The minimum number of hours worked per week is approximately 15.

- The first quartile (Q1) is approximately 20.

- The median (Q2) is approximately 22.

- The third quartile (Q3) is approximately 25.

- The maximum number of hours worked per week is approximately 35.

 For females:

- The minimum number of hours worked per week is 0.

- The first quartile (Q1) is approximately 0.

- The median (Q2) is approximately 20.

- The third quartile (Q3) is approximately 25.

- The maximum number of hours worked per week is approximately 50.

In the male dataset, there are no apparent outliers or extreme values since the data is relatively compact with a narrow IQR and no data points far from the quartiles.

However, in the female dataset, there are potential outliers or extreme values:

- The minimum value of 0 hours worked per week is an outlier because it is far below the first quartile.

- The maximum value of approximately 50 hours worked per week is an extreme value because it is far above the third quartile.

These outliers and extreme values in the female dataset can significantly affect the measures of center and spread:

- The mean will be pulled down by the minimum value of 0 and up by the maximum value of 50, potentially making it less representative of the central tendency of the data.

- The range will be much larger due to the extreme maximum value.

- The IQR will not be affected by these outliers since it is based on the middle 50% of the data, but the overall spread of the data will be larger due to the presence of outliers.

- The variance and standard deviation will be increased by the presence of these outliers, indicating a larger spread in the data.

 In summary, the outliers and extreme values in the female dataset are the values that may affect the statistical measures of center and spread. These values can skew the mean, increase the variance and standard deviation, and extend the range, making these measures less indicative of the typical work hours for female students.