Divide. Write in simplest form. 10 divided by 1 2/3 ?

Answers

Answer 1

Answer: 6

Step-by-step explanation: First rewrite 10 as 10/1 and 1 and 2/3 as 5/3.

Mixed numbers can be changed to improper fractions by multiplying the denominator by the whole number and then adding the numerator. We then put out numerator over our old denominator.

So we have 10/1 ÷ 5/3 or 10/1 × 3/5.

It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.

Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.

Therefore, 10 ÷ 1 and 2/3 = 6.

Answer 2

Final answer:

To find 10 divided by 1 2/3, convert the mixed number to an improper fraction (5/3), multiply by the reciprocal (3/5), and simplify the result to get 6.

Explanation:

To divide 10 by 1 2/3, first, we need to convert the mixed number 1 2/3 into an improper fraction. The mixed number 1 2/3 can be written as 5/3 because 1 (which is 3/3) plus 2/3 equals 5/3.

Next, we apply the rule for dividing fractions: we multiply by the reciprocal of the divisor. So, we take 10 (which is the same as 10/1) and multiply it by the reciprocal of 5/3, which is 3/5.

The multiplication looks like this: 10/1 × 3/5 = 30/5.

The result of 30/5 can be simplified to 6, which is the answer in simplest form. Therefore, 10 divided by 1 2/3 equals 6.


Related Questions

Daily High Temperatures in New York City
Day High Temperature (Degrees F)
Sunday 63
Monday 55
Tuesday 59
Wednesday 56
Thursday 57
Friday 60
Saturday 88

The table shows the daily high temperatures for a week in April in New York City. What is the RANGE of the temperatures?
A) 32°F
B) 33°F
C) 59°F
D) 62.6°F

Answers

Answer:

The answer is B

Step-by-step explanation:

You just have to subtract the lowest temp by the highest temp


Ronnie surveyed the senior class for a math project. Below are the results of his survey.



What type of graph is best for Ronnie to display his data?
A. Double Bar Graph
B. Histogram
C. Double Line Graph
D. Circle Graph

Answers

Answer:

i think C

Step-by-step explanation:

Let $x=(0.\overline{6})(0.\overline{60})$. When $x$ is written out as a decimal, what is the sum of the first $15$ digits after the decimal point?

Answers

Answer:

  [tex]32\text{ for }x=0.\overline{40}[/tex]

Step-by-step explanation:

It looks like you want the sum of digits of the product ...

  [tex]x = (0.\overline{6})(0.\overline{60})=\dfrac{2}{3}\cdot\dfrac{20}{33}=\dfrac{40}{99}=0.\overline{40}[/tex]

Since the decimal fraction starts off with 4 and has an even number of repeating digits, there will be 8 4's and 7 0's in the sum of the first 15 decimal digits:

  sum = 8×4 +7×0 = 32

The sum of the first 15 digits after the decimal point is 32.

A pizza delivery person earns AED 30 per house plus AED 10.50 for each delivery made, the expression 30h+10.50d can be used to find the earnings for him how much money will he earn after working for 15 hours and making 8 deliveries

Answers

Money earned after working for 15 hours and making 8 deliveries is $ 534

Solution:

Given that pizza delivery person earns 30 per hour plus 10.50 for each delivery made

The expression used to find the earnings for him is given as:

30h + 10.50d

Where "h" is the number of hours and "d" is the number of deliveries

We have to find the money earned by him after working for 15 hours and making 8 deliveries

Therefore we get, h = 15 and d = 8

Substitute h = 15 and d = 8 in given expression

Money earned = 30(15) + 10.50(8)

Money earned = 450 + 84 = 534

Thus money earned after working for 15 hours and making 8 deliveries is $ 534

Gwen Mows 1/4 acre 3/4 hour. How many acres will Gwen mow in one hour

Answers

Answer:

0.33...acre

Step-by-step explanation:

1/4=0.25

3/4=0.75

-------------

0.25/0.75=x/1

cross product

0.75*x=0.25*1

0.75x=0.25

x=0.25/0.75

x=0.3

22,432.49 divided by 61.4

Answers

Answer:

365.35

Step-by-step explanation:

USE A CALCULATOR!!!!

What is 10*10? Please help! :) ​

Answers

Answer:

100

Step-by-step explanation:

It will help in the future to memorize your time tables

10*10 is basically 10 plus 10, 10 times but in a easier form

10+10+10+10+10+10+10+10+10+10=100

10+10=20

20+10=30

30+10=40

40+10=50

50+10=60

60+10=70

70+10=80

80+10=90

90+10=100

Ten subtracted from the qoutient of a number 5 is 18

Answers

Question:

Ten subtracted from the quotient of a number and 5 is 18. What is the number?

Answer:

140 is the number.

Step-by-step explanation:

Let consider the number as ‘X’

Quotient of a number and 5 can be written as

                         [tex]X \div 5[/tex]

Ten subtracted from the quotient of a number and 5 can be written as

                        [tex](X \div 5) - 10[/tex]

Ten subtracted from the quotient of a number and 5 is 18 can be written as

                        [tex](X \div 5) - 10 = 18[/tex]

By solving the above equation, find ‘X’

                        [tex](X \div 5) = 18 + 10[/tex]

                        [tex]\frac{X}{5} = 28[/tex]

                        [tex]X = 28 \times 5 = 140[/tex]

A stack of 250 cards are placed next to a ruler, and the height of the stack is measured to be 5/8 inches. How thick is one card?

Answers

Answer:

The thickness of 1 card  = 0.0025 inches

Step-by-step explanation:

Here, the total number of cards in the stack = 250 cards

The total height of the stack = 5/8 inch = 0.625 in.

[tex]\textrm{Thickness of one card} = \frac{\textrm{The total thickness of the stack}}{\textrm{The total cards in the stack}}[/tex]

[tex]\implies \textrm{Thickness of one card} =\frac{0.625}{250} = 0.0025[/tex]

Hence, the thickness of 1 card  = 0.0025 inches


21. Brian wants to purchase a piece of fabric
that is between 49 and 53 inches long.
He can choose between three pieces of
fabric. Choice A is 4 3/4 feet long. Choice
B is 4 1/2 feet long. Choice C is 4 1/3 feet
long. Which piece of fabric should Brian
purchase?
(Show WORK!!)

Answers

Brian should purchase Choice C of fabric

Solution:

Given that Brian wants to purchase a piece of fabric  that is between 49 and 53 inches long

So piece of fabric should be between: 49 and 53 inches

Choice A is [tex]4\frac{3}{4}[/tex] feet long

Let us convert feet to inches

[tex]4\frac{3}{4} feet = \frac{4 \times 4 + 3}{4} = \frac{19}{4} feet[/tex]

Now convert to inches

We know that,

1 feet = 12 inches

[tex]\frac{19}{4} feet = \frac{19}{4} \times 12 = 57 inches[/tex]

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

Choice  B is [tex]4\frac{1}{2}[/tex] feet long

[tex]4\frac{1}{2} feet = \frac{2 \times 4 + 1}{2} = \frac{9}{2} feet[/tex]

Now convert to inches

[tex]\frac{9}{2} feet = \frac{9}{2} \times 12 inches = 54 inches[/tex]

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

Choice C is [tex]4\frac{1}{3}[/tex] feet  long

[tex]4\frac{1}{3} feet = \frac{3 \times 4 + 1}{3} = \frac{13}{3} feet[/tex]

Now convert to inches

[tex]\frac{13}{3} feet = \frac{13}{3} \times 12 inches = 52 inches[/tex]

So this 52 inches lies between 49 and 53 inches

So Brian should purchase Choice C of fabric

Write an equation of the line that passes through (-2,0) and is perpendicular to the line y=-1/3x+3

Answers

Answer:

y=3x+6

Step-by-step explanation:

Perpendicular means negative reciprocal of the slope.

y-y1=m(x-x1)

y-0=3(x-(-2))

y-0=3(x+2)

y=3x+6+0

y=3x+6

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 30 books and each large box can hold 40 books. There were twice as many large boxes sent as small boxes, which altogether can hold 330 books. Determine the number of small boxes sent and the number of large boxes sent.

Answers

3 small boxes and 6 large boxes were sent to the retailer.

Step-by-step explanation:

Number of books held by small boxes = 30

Number of books held by large boxes = 40

Total books held by boxes = 330

Let,

x represent the number of small boxes

y represent the number of large boxes

According to given statement;

y = 2x     Eqn 1

30x+40y=330    Eqn 2

Putting value of y from Eqn 1 in Eqn 2

[tex]30x+40(2x)=330\\30x+80x=330\\110x=330[/tex]

Dividing both sides by 110

[tex]\frac{110x}{110}=\frac{330}{110}\\x=3[/tex]

Putting x=3 in Eqn 1

[tex]y=2(3)\\y=6[/tex]

3 small boxes and 6 large boxes were sent to the retailer.

Keywords: linear equation, substitution method

Learn more about substitution method at:

brainly.com/question/10387593brainly.com/question/10402163

#LearnwithBrainly

Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16

Answers

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option  (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: [tex]a^2+b^2=c^2[/tex]

Thus:

[tex]\sqrt{a^2+b^2}=c[/tex]

Option A:

[tex]\sqrt{8^2+15^2}=17[/tex] → 17 = 17 OK!

Option B:

[tex]\sqrt{6^2+8^2}  = 10[/tex] → 10 ≠ 12 NO

Option C:

[tex]\sqrt{9^2+11^2} = [tex]\sqrt{202}[/tex][/tex] → [tex]\sqrt{202}[/tex] ≠ 21 NO

Option D:

[tex]\sqrt{4^2+13^2} = \sqrt{185}[/tex] → [tex]\sqrt{185}[/tex] ≠ 16 NO

The scale on a map is 4cm = 25 mi what is the actual distance in miles represented by a line that is 20 cm on map

Answers

Answer:

Step-by-step explanation:

4 cm to 25 miles = 20 cm to x miles

4 / 25 = 20 / x

cross multiply

4x = (25)(20)

4x = 500

x = 500/4

x = 125 miles <=====

Answer:

The correct answer is that the actual distance in miles represented by a line that is 20 cm on map is 125 miles.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Scale on a map: 4 cm = 25 miles

2.  What is the actual distance in miles represented by a line that is 20 cm on map ?

For calculating the distance in miles represented, we will use the following equation:

Actual distance in miles represented = Miles in the scale/Centimeters in the scale * 20

Replacing with the real values:

Actual distance in miles represented = 25/4 * 20 = 25 * 5 = 125

The correct answer is that the actual distance in miles represented by a line that is 20 cm on map is 125 miles.

a pair of shoes originally cost $250. the price was decreased by 20%. a week later it was marked down again, this time 25%. what is the final price of the shoes?

Answers

Answer:

$150.

Step-by-step explanation:

$250 - 0.20 *250 = $200.

Final price = 200 - 0.25*200

= $150.

solve for r 4/r = 5/7

Answers

Work is provided in the image attached.

What is the sum of the two expressions -2.9a+6.8 and 4.4a-7.3

Answers

Answer:

1.5a - 0.5

Step-by-step explanation:

Add like terms

4.4 - 2.9 = 1.5

7.3 - 6.8 = 0.5

Final answer:

To find the sum of the two expressions -2.9a+6.8 and 4.4a-7.3, you need to combine the like terms. Simply add or subtract the coefficients of like terms while keeping the variable the same, the sum of the two expressions -2.9a+6.8 and 4.4a-7.3 is (4.4a - 2.9a) + (6.8 + (-7.3)). .

Explanation:

To find the sum of the two expressions -2.9a+6.8 and 4.4a-7.3, you need to combine the like terms. Like terms are terms that have the same variable raised to the same power. In this case, -2.9a and 4.4a are like terms because they both have the variable 'a' raised to the first power. Similarly, 6.8 and -7.3 are also like terms because they don't have any variables. To combine like terms, simply add or subtract their coefficients while keeping the variable the same.

So, -2.9a + 4.4a can be combined as (4.4a - 2.9a) and 6.8 - 7.3 can be combined as (6.8 + (-7.3)).

Therefore, the sum of the two expressions -2.9a+6.8 and 4.4a-7.3 is (4.4a - 2.9a) + (6.8 + (-7.3)).

A number y is no more than −8.

help me

Answers

Answer:

y <= -8

Step-by-step explanation:

This algebraic expression would read as:

Y is Less than or equal to -8

Answer:

No more than means less than or equal to

y <= -8

Is (-1,8),(0,15),(1,-4),(2,0) a function

Answers

Answer:

?

Step-by-step explanation:

It could be

Answer:

Yes

Step-by-step explanation:

Yes because it is a one-to-one relation. Every x-value maps to a unique value of y.

Convert 2000 ft./min. to miles per hour round to the nearest 10th

Answers

Answer:

The conversion of 2000 ft per min into miles per hour is 2.268 miles per hour .

Step-by-step explanation:

Given as :

The speed = s = 2000 ft per min

Now, ∵ 5280 feet = 1 miles

so, 1 feet = [tex]\dfrac{1}{5280}[/tex] miles

∴ 2000 feet =  [tex]\dfrac{1}{5280}[/tex] × 2000 miles

i.e 2000 feet = 0.378 miles

Again

∵ 1 minute = [tex]\dfrac{1}{60}[/tex] hour

So, The speed in miles per hour

s = [tex]\dfrac{distance}{time}[/tex]

∴ s = [tex]\frac{0.378}{\frac{1}{60}}[/tex]

i.e s = 2.268 miles per hour

Hence, The conversion of 2000 ft per min into miles per hour is 2.268 miles per hour . answer

To convert 2000 ft./min. to miles per hour, multiply by appropriate conversion factors, and round the result, yielding 22.7 miles per hour.

To convert 2000 ft./min. to miles per hour, follow these steps:

Convert feet to miles: 2000 ft/min x (1 mile/5280 ft) = 0.3788 miles/min

Convert minutes to hours: 0.3788 miles/min x 60 min/hr = 22.73 miles/hr

Rounded to the nearest tenth, 2000 ft/min is 22.7 miles per hour.

Which system of equations has one solution? –5x – 10y = 24 5x + 10y = 16 3x + 4y = –7 –3x – 4y = 7 –12x + 8y = 16 12x – 8y = 16 –2x + 7y = –5 2x + 7y = –9

Answers

Answer:

The last system is that one with exactly one solution:

–2x + 7y = –5  

2x + 7y = –9

Step-by-step explanation:

We can easily check the number of solutions that each system has in this problem, since the equations contain most of them combinations of terms in y and in x that can be easily cancelled out via simple term by term addition.

Going through them system by system, and adding term by term the equations which are in standard form we get:

(1) –5x – 10y = 24  

      5x + 10y = 16  

---------------------------

     0x  +  0y   = 40  which sates a mathematical absurd: "0 = 40", and therefore there are no x and y solution values that could verify such. This also means that the lines represented by the system do NOT intersect (they are parallel lines)

(2)  3x + 4y = –7  

   –3x – 4y = 7  

   --------------------

    0x   + 0y  = 0 which gives that zero equals zero, which any pair (x, y) belonging to any of the two equations can verify, so an infinite number of solutions (the lines in the system overlap)

(3) –12x + 8y = 16  

      12x – 8y = 16  

      -------------------

       0x  +  0y   = 32 which sates a mathematical absurd: "0 = 2", and therefore there are no x and y solution values that could verify such. This also means that the lines represented by the system do NOT intersect (they are parallel lines)

(4)  –2x + 7y = –5  

        2x + 7y = –9

      ---------------------

        0x + 14y = -14

This is the only system that shows solution. It allows us first to solve for "y" in the resultant equation: 14 y = -14 giving us the value y = -14/14 = -1

and then using it the unique value for x can be determined:

        2x + 7y = –9

        2x + 7 (-1) = -9

        2x -7 = -9

        2x = -9 + 7

        2x = -2

          x = -2/2 = -1

Therefore, the pair (-1, -1) is the unique solution to the system

Answer:

The answer is D.

Step-by-step explanation:

Trust me guys. The guy above me has a full explanation, but if you are just looking for a simple answer, then I gotchu

a circle is centered at the point 0,0 and has a radius of the square root of 53. Where does the point -3,-7 lie? I will give the brainiest Help Please

Answers

Answer:

The point lie outside the circle

Step-by-step explanation:

step 1

Find the distance between the center of the circle and the given point

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

(0,0) and (-3,-7)

substitute the values

[tex]d=\sqrt{(-7-0)^{2}+(-3-0)^{2}}[/tex]

[tex]d=\sqrt{58}\ units[/tex]

step 2

Compare the distance with the radius

If d=r ----> the point lie on the circle

If d > r -----> the point lie outside the circle

If d < r -----> the point lie inside the circle

we have

[tex]d=\sqrt{58}\ units[/tex]

[tex]r=\sqrt{53}\ units[/tex]

so

[tex]\sqrt{58}\ units > \sqrt{53}\ units[/tex]

[tex]d > r[/tex]

therefore

The point lie outside the circle

Answer:

C outside the circle

Step-by-step explanation:

khan

Mia's mother gives her $10 per week for allowance Mia gets an additional $3 for every hour she spends watching
Ther. Mia wants to make at least $25 this week to spend shopping with her friends. Use this
information to answer the questions below.
10 Write an inequality, using variables to represent the number of times that Mia has to watch her brother in order to
get at least $25.

Answers

Answer:

5 times

Step-by-step explanation:

$25 - $10 (fixed rate) = $15

$15 / $3 = 5 times.

Mia must watch her brother 5 times within the week to make the desired amount. Hope this helps :)

Use the graphs of f and g
Find the following values

Answers

Answer:

(i) 5

(ii) - 1

(iii) - 1

(iv) 0

(v) 1

(vi) 1

Step-by-step explanation:

See the graph attached to this question.

The blue graph shows y = f(x) and the red graph shows y = g(x).

(i) (f + g)(- 3) = f(-3) + g(-3) = 4 + 1 = 5

(ii) (g - f)(- 2) = g(- 2) - f(- 2) = 2 - 3 = - 1

(iii) (fg)(2) = f(2) × g(2) = (- 1) × (1) = - 1

(iv) [tex](\frac{g}{f})(3) = \frac{g(3)}{f(3)} = \frac{0}{- 3} = 0[/tex]

(v) (fog)(1) = f[g(1)] = f(1) = 1

(vi) (gog)(- 1) = g[g(-1)] = g(2) = 1  (Answer)

After using the graph with the values of f and g we find the values as follows:

(i) (f+g)(-3) = 5

(ii) (g-f)(-2) = -1

(iii) (fg) (2) = -1

(iv) (g/f) (3) = 0

(v) (f o g) (1) = 1

(vi) (g o g)(-1) = 1

i) ( f +g ) (-3)

= ( f (-3) + g(-3) )

Values we got from the graph are:

f(-3) = 4

g(-3) = 1

After substituting these values in the given equation we get

( f + g) (-3) = 5

ii) ( g - f ) (-2)

= ( g(-2) - f(-2) )

Values we got from the graph are:

g(-2) = 2

f(-2) = 3

After substituting these values in the given equation we get

( g - f ) (-2) = - 1

iii) ( fg) (2)

= ( f(2) g(2))

Values we got from the graph are:

f(2) = -1

g(2) = 1

After substituting these values in the given equation we get

( fg)(2) = -1

iv) (g/f) (3)

( g(3) / f(3) )

Values we got from the graph are:

g(3) = 0

f(3) = - 3

After substituting these values in the given equation we get

( g / f ) (3) = 0

v) ( f o g ) (1)

= ( f(1) o g(1) )

Values we got from the graph are:

g(1) = 1

f(1) = 1

After substituting these values in the given equation we get

( f o g ) (1) = 1

vi) ( g o g ) (-1)

= ( g(-1) o g(-1) )

Values we got from the graph are:

g(-1) = 2

g(2) = 1

After substituting these values in the given equation we get

( g o g ) (-1) = 1

what is the average height of a person

Answers

Answer:

well it would kinda depend on their age,and size,but the average height of an ADULT male is : 5.6 ft

ADULT female:5.2ft

(remember it would depend on their age,but some people might even have medical reasons to be shorter or taller than their original height too. At a age children don't HAVE to be that exact height,but atleast close enough to that height.)

(changes may occur depending on medical reasons,or age too!)

Identify the interval(s) on which the function y = x + 12x + 27 is positive.

Answers

Answer:

So the values of x for which the function is positive are x ≥ -3 and x ≤ -9.

Step-by-step explanation:

We are given a function and we have to find the intervals in which the function has positive value.

y = [tex]x^{2} +12x+27[/tex]

y =(x + 3)(x + 9)

For the function to be positive , y ≥ 0

(x + 3)(x +  9) ≥ 0

Here there are two cases , either both should be positive or both should be negative.

If both are positive,

(x + 3)≥0 and (x + 9)≥0

So, x ≥ -3

If both are negative,

(x + 3)≤0 and (x + 9)≤0

So, x ≤ -9

So the values of x for which the function is positive are x ≥ -3 and x ≤ -9.

The intervals on which the function y = x² + 12x + 27 is positive are

x > -3 and x > -9

For the function given to be positive, it has to be greater than zero.

Since the expression is greater then zero, hence;

x² + 12x + 27 > 0

Factorize the resulting expression

x² + 3x + 9x + 27 > 0

x(x+3) + 9(x+3) > 0

(x+3) (x+9) > 0

x+3 > 0 and x + 9 > 0

x > -3 and x > -9

Hence the intervals on which the function y = x² + 12x + 27 is positive are

x > -3 and x > -9

Learn more here: https://brainly.com/question/17845639

What are the possible values of 6

Answers

Answer:

The possible values of v are 6 and -6

Step-by-step explanation:

The opposite operation of an absolute value is to add a ± to the other side, so when we solve for v we get

|v|=6

v=±6

Which is the same as

v=-6 and 6

Answer:

C

Step-by-step explanation:

|6| and |-6| have the same meaning. Both are equal to 6

The answer is C


-3x = 2x + 19 solve ​

Answers

Answer:

x=-19/5

Step-by-step explanation:

-3x=2x+19

-3x-2x=19

-5x=19

x=19/-5

Answer:

get x to one side by subtracting 2x from 2x+19

new equation:

-3x-2x=19

-5x=19

divide both sides by -5

x=-19/5

or x=-3 4/5

Write an equation in point-slope form for the line that is perpendicular to the given line and passes through the given point.
Y - 3 = 4 (x + 2) through the point (- 2,6)

Answers

Answer:  4y + x - 22 = 0

Step-by-step explanation:

Recall that  for two lines to be perpendicular m1m2 = -1 ie, the product of their gradients must = -1

from the equation given, y - 3 = 4(x + 2), we need to rearrange it in the form

y = mx  + c in order for us to ascertain the gradient.

y -3 = 4x + 8

y = 4x + 8 + 3

y = 4x + 11

Therefore, m1 = 4 while m2 = -1/4

The coordinate of the line = (-2, 6) . We now use this to find the value of c.

6 = -1/4 x -2 + c

6 = 1/2 + c

multiply by 2

12 = 1 + 2c

12 - 1 = 2c

11 = 2c

c = 11/2

now to find the equation of the second line

y = -x/4 + 11/2

now multiply through by 4

4y = -x + 22

4y + x - 22 = 0 is the required equation

x+1/x=3,x^5+1/x^5=? What is the answer

Answers

Answer:

The answer is 123.

Step-by-step explanation:

Given that-

( [tex]x + \frac{1}{x}[/tex] ) = 3.....................(i)

To find -

( [tex]x^{5} + \frac{1 }{x^{5} }[/tex] ) = ?

Now squaring both sides of equation (i)-

( [tex]x^{2}  + \frac{1}{x^{2} } + 2[/tex] ) = 9

( [tex]x^{2} + \frac{1}{x^{2} }[/tex] ) = 7....................(ii)

On cubing equation (i) both sides-

( [tex]x^{3} + \frac{1}{x^{3} } + 3 ( x + \frac{1}{x} )[/tex] ) = 27

( [tex]x^{3} + \frac{1}{x^{3} } + 3 * 3[/tex] ) = 27

( [tex]x^{3} + \frac{1}{x^{3} }[/tex] ) = 27 - 9

( [tex]x^{3} + \frac{1}{x^{3} }[/tex] ) = 18.....................(iii)

Multiply equation (i)  and equation (ii)-

( [tex]x^{2} + \frac{1}{x^{2} }[/tex] )  ( [tex]x^{3} + \frac{1}{x^{3} }[/tex] ) = 7 × 18

( [tex]x^{5} + \frac{1}{x^{5} } )+ ( x + \frac{1}{x} )[/tex] = 126

( [tex]x^{5} + \frac{1}{x^{5} } ) = 126 - 3

( [tex]x^{5} + \frac{1}{x^{5} } ) = 123

Other Questions
While recovering from the effects of childhood polio and a disabling back injury, Frida Kahlo expressed her feelings about her life in a sketchbook. The works within it, such as "Eyesaurus," were often done in which wet media?a. chalkb. pastelc. watercolord. bistree. silverpoint Match the statements with their values. *see photo for reference* BbbbBbB - black furb. white furConsider the genetic cross for fur color. What is the probability that the offspring of this cross will have black fur?A)25%B)50%os When a pharmaceutical company introduces a new drug, its research and development costs are ______, and the cost of the chemicals used in manufacturing the drug are ______. Multiple Choice start-up costs; fixed costs fixed costs; start-up costs start-up costs; variable costs marginal costs; variable costs Write the point slope form of the equation of the line through the given points.EXPLAIN AND SHOW WORK! Please and thanks.through: (5, -3) and (0, 3) A certain casino uses 10 standard decks of cards mixed together into one big deck, which we will call a superdeck. Thus, the superdeck has 52 10 = 520 cards, with 10 copies of each card. How many different 10-card hands can be dealt from the superdeck? The order of the cards does not matter, nor does it matter which of the original 10 decks the cards came from. Express your answer as a binomial coefficient. Tiana is having a garage sale and notices that someone seems interested in buying a lamp. Tiana approaches the person, suggests a price of $5, and the person quickly agrees. Tiana suddenly wonders if she could get more money for the lamp, so she tells the person that she should check with her husband before selling the lamp. Tiana goes into her house, waits a minute, then returns, saying that her husband will only sell the lamp for $15. Tiana is using a sales strategy known as the _____ technique. (A) the company issued stock and collected cash totaling $30,000; (B) the company paid an account payable of $6,000; (C) the company purchased supplies for $1,000 with cash; (D) the company purchased land for $60,000 paying $10,000 with cash and signing a note payable for the balance. What is total stockholders' equity after the transactions above? Write a method called digitSum that accepts an integer as a parameter and returns the sum of the digits of that number. For example, the call digitSum(29107) returns 2 9 1 0 7 or 19. For negative numbers, return the same value that would result if the number were positive. For example, digitSum(-456) returns 4 5 6 or 15. The call digitSum(0) returns 0. Read the excerpt spoken by the man who takes the name of Roger Chillingworth from Chapter 4 of The Scarlet Letter. "Let, therefore, thy husband be to the world as one already dead, and of whom no tidings shall ever come. Recognize me not, by word, by sign, by look! Breathe not the secret above all, to the man thou wottest of. Shouldst thou fail me in this, beware!" Which character trait of Roger Chillingworth does Hawthorne develop in the excerpt? The amount of potential energy in 1 glucose molecule = 2805kJ/mol. The amount of energy in 1 ATP molecule = 30.5kJ/mol. In a human skeletal muscle cell, 36 molecules of ATP are made for every 1 molecule of glucose burned. What is the efficiency of the aerobic respiration pathway? Which of the following groups tended to be Anti-Federalist during the ratification debates? a. Rural residents closely tied to the commercial marketplace. b. Urban artisans, laborers, and sailors. c. Wealthier citizens. d. State politicians fearful of a strong central government. e. Merchants engaged in foreign commerce. Which of the answer choices best describes the property of volume? the amount of space a substance's matter occupies the amount of matter a substance contains the compactness of matter in a given space the extent of a substance's surface The second ionization energy is the energy required to remove the _______ Electron after a __________ one has been removed. Calculate the standard entropy of vaporization of ethanol at its boiling point 285 K. The standard molar enthalpy of vaporization of ethanol at its boiling point is 40.5 kJ/mol The Florida Real Estate Commission (FREC) was first organized in 1926. It is composed of 7 members who are appointed by the Governor and approved by the Senate. The purpose of the FREC is:__________. Hellpp me guys please After eating dinner at a restaurant, Sid's bill before tax is$62.00. The sales tax rate is 8%. Sid decides to leave a15% tip for the waiter based on the pre-tax amount. Howmuch money will Sid pay total, including tax and the tip? One of the advantages of off-the-shelf software is that ________________. a. the software contains important features, thus eliminating the need for future modification and customization b. b. an organization does not have to pay for features that are not required and never used What is the mean 3, 3, 4, 5, 6, 6, 7, 7, 7, 8, 8 Steam Workshop Downloader