Reduce this algebraic fraction.

27c^4d^5
--------------
9c^7d^4

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{-m}= \frac{1}{a^{m}}[/tex]

[tex]\frac{27c^{4}*d^{5}}{9c^{7}d^{4}}= 3*c^{4-7}*d^{5-4}\\\\ = 3c^{-3}d^{1}\\\\= \frac{3d}{c^{3}}[/tex]


Related Questions

Is 1/7 an irrational number?

Answers

Answer:

Yes

Step-by-step explanation:

1/7 = 0. 142857, where the bar over 142857 indicates a pattern that repeats forever. A real number that cannot be expressed as a quotient of two integers is known as an irrational number.

There are 96 raisins and 24 cashews in each package of granola.

What is the unit rate in raisins per cashew?


4

12

20

96

Answers

the answer is 4
96/24 =4
hope this helps

Find the value of x.

Answers

Answer:

x = 12

Step-by-step explanation:

x² = 24 x 6 = 144

x = 12

How Many solutions are there for the
following system.
y = x² - 5x + 3
Y = x - 6

Answers

Only one solution, x=3

If you guys could help this is urgent!!

Answers

Answer:

J

Step-by-step explanation:

Mary is booking a 3-night stay at a hotel. The rate is $69 per room plus tax. If
state tax is 6%, city tax is 2%, and municipal tax is 1%, what is her total
lodging cost?
A. $273.12
B. $128.62
C. $182.62
D. $225.63

Answers

It’s D 69x3= 207

6% of 207 = 12.42
2% of 207 = 4.14
1% of 207 = 2.07
12.42 + 4.14 + 2.07 = 18.63
207+18.63 = 225.63

The cost of Mary's lodging cost is A = $ 225.63

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.

Given data ,

Let the total lodging cost be represented as A

First, let's calculate the total tax percentage

6% + 2% + 1% = 9%

So, Mary will pay 9% tax on the room rate of $69 per night.

Total room rate for 3 nights = 3 x $69 = $207

Total tax amount = 9% of $207 = $18.63

On simplifying the equation , we get

Therefore, Mary's total lodging cost will be:

A = $207 + $18.63 = $225.63

Hence , the total lodging cost is A = $ 225.63

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

Students from Shelton Middle are going on a field trip to an amusement park. Those students who have annual passes will pay $10. Other students will pay $35. The school collected $1,375 for 50 students. Which system of linear equations models this situation?

a) 10x + 35y = 50

x + y = 1,375

b) 10x + 35y = 1,375

x + y =50

c) 10x + y = 50

35x + y = 1,375

d) 10x + y = 1,375

x + 35y = 50

Answers

Answer:

c

Step-by-step explanation:

What is the volume of a figure with that is 3 inches wide, 3 inches tall and 7 inches long?​

Answers

Answer:

Step-by-step explanation:

volume=3×3×7=63 inch³

help asap i will give brainly to first person to anwser

Answers

Answer:

The answer is 8

Step-by-step explanation:

7x-9=4x+15

7x-4x=15+9

3x=24

x=24/3

x=8

pls mark BRAINLIEST

Answer:

m<ABC=<7x-9=7×8-9=47° is your answer

Step-by-step explanation:

4x+15=7x-9 vertically opposite angle

15+9=7x-4x

x=24/3=8

Multiply -90/11 by -55/72 with explanation...

Pls fast...Will mark Brainliest for the best one...

Answers

Answer:

25/4

Step-by-step explanation:

Multiplying numerators gives 4950 and multiplying denominators gives 792. 4950/792. simplify to get simplest form as 25/4

Answer:-6.25

Step-by-step explanation:

A quadratic pattern has a second term equal to 1,a third term equal to -16 and a fifth term equal to -14

1.1.1.calculate the second difference of this quadratic pattern

1.1.2.hence or otherwise,calculate the first term of term

Answers

Answer:

1.1.1. The common difference is 12

1.1.2. The first term is 30

Step-by-step explanation:

1.1.1. The given quadratic pattern is presented as follows;

The 2nd term = 1

The 3rd term = -16

The 5th term = -14

Let 'd' represent the second difference, we have;

1 + 2d + a =  -16

2·d + a = -16 - 1 = -17

2·d + a = -17...(1)

-16 + 3d + a + 4d + a = -14

7·d + 2·a = -14 + 16 = 2

7·d + 2·a = 2...(2)

Making 'a' the subject of both equation (1) and (2) gives;

a = -17 - 2·d

a = 1 - 7/2·d

∴ -17 - 2·d = 1 - 7/2·d

(7/2)·d - 2·d = 1 + 17

(3/2)·d = 18

d = (2/3) × 18 = 12

The common difference, d = 12

a = -17 - 2·d = -17 - 2 × 12 = -41

1.1.2. Let 'x' represent the first term, we have;

x + a + d = 1

x = 1 - (a + d)

x = 1 - (-41 + 12) = 30

The first term, x = 30

If a+b=2 find the value of a3+b3+6ab

Answers

Answer:

Step-by-step explanation:

Factor the sum of cubes

a³ + b³ = (a+b)(a² - ab +b²)

= 2a² - 2ab + 2b²

a³ + b³ + 6ab = 2a² + 4ab + 2b²

= 2(a² + 2ab +b²)

= 2(a+b)²

= 8

solve for a and B. A. a=400/21, b = 580/21 B. a=400/21, b=20/21. C a=580/21, b=20/21. D a=20/21, b=580/21

Answers

Answer:

Step-by-step explanation:

21/29 = 20/b

b = 20*29/21 = 580/21

a^2 + 20^2 = (580/21)^2

a = 400/21

Please Help, I will give you a Brainliest and 30 points

Answers

Answer:

SVU is 100 degrees i think because i uploaded the image to an online protractor and it said 100 degrees so hopefully its right lol

Step-by-step explanation:

Answer:

112°

Step-by-step explanation:

Opposite angles are congruent.Diagonals of rhombus are angle bisectors.TV is bisecting angle STU and SVU∠STW ≅ ∠UTW9x - 43 = 5x + 19x - 5x = 1 + 434x = 44x = 11m∠STV = 9*11 - 43 = 56°m∠STU = 56*2 = 112°SVU = STU = 112°

Cuál es la probabilidad de sacar una canica Roja en una bolsa con( 15 )en total canicas que contiene 2 canicas negras blanco 4 rojas 5 verdes y una amarilla Probabilidad de canicas Negra. Verde. Roja. Amarillo. Blanca

Answers

Answer:

the number four that an option and that it a correction to know if you have any questions

Can yall help me!? its due at 1:00 pm. (I'll make you brainlest or however you spell it lol)

Answers

2 calories in each 7 bananas ?

Answer:

128 calories

Step-by-step explanation:

Remember that an exponent represents multiplying a number repeatedly by itself. For example, using this situation, [tex]2^7[/tex] would represent 2 multiplied by itself seven times:

2 x 2 x 2 x 2 x 2 x 2 x 2

notice that there are 7 2's multiplied by each other ^^

if you are doing this without a calculator, its easiest to start one at a time

2 x 2 = 4

now there are 5 2's left

4 x 2 = 8

there are 4 2's left

8 x 2  = 16

there are 3 2's left

16 x 2 = 32

there are 2 2's left

32 x 2 = 64

there is one 2 left

64 x 2 = 128

so [tex]2^7[/tex] = 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

I hope that helps :)

Type the correct answer in each box.

,
then a = and b = .

Answers

Answer:

a = 0, b = -15

Step-by-step explanation:

Given the following complex number;

x1 = 3(cosπ+isinπ)

x2 = 5(cosπ/2 - isinπ/2)

x1x2 = 15(cosπcosπ/2 - icosπsinπ/2+isinπcosπ/2 -i²sinπsinπ/2)

x1x2 = 15(0 - i(-1)+0 -0)

x1x2 = 15(-i)

x1x2 = -15i

x1x2 = 0-15i

Since

0 - 15i = a+ bi

Compare

a = 0

-15-  = bi

b = -15

Hence a = 0, b = -15

Please help me with the question please ASAP ASAP please please help ASAP ASAP please please help please

Answers

Answer:

x = 15 ft

Step-by-step explanation:

Triangle ACD is similar to triangle ABE based on the information given, therefore we can set up a proportion to compare the sides:

side AE / side EB = side AD / side DC

4/6 = 10/x

Solve for x

x = (10)(6) / 4

x = 60 / 4

x = 15 ft

Use the net to compute the surface area of the three-dimensional figure.
A) 56 units2
B) 62 units2
C) 68 units2
D) 74 units2

Answers

Answer:

B. 62 un2

Step-by-step explanation:

A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from
2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a strategy for
estimating the total output of wheat, in tons, in 2015?

Answers

Answer:

Step-by-step explanation:

[tex]19.8(1.098)(1.051)\approx 22.8 tons[/tex]

Christopher earns $600 per week and $2.50 for each cell phone he sells. If Christopher earned $697.50 last week, how many cellphone did he sell

Answers

Answer:

He sold 39 phones

Answer:

39 Phones

Step-by-step explanation:

2.50x+600=697.50

subtract 600 from both sides to get the equation:

2.50x=97.50

divide each side by 2.50 and you get x=39

1.5c = 20 - 2


(Algebra)

Answers

Answer:

12

Step-by-step explanation:

1.5c=20-2

1.5c=18

c=18/1.5

c=12

find the distance between (2,-1) and (1,-2)

find the distance between (-2,-4) and (-1,0)

Answers

Answer: if you add 5 then you get 57

Step-by-step explanation: just add ang get the answer

Answer:

just add

Step-by-step explanation:

addd

my little brother wants to know if these are equal 5(2j + 3 + j) = 3(5j + 4 + j)

Answers

Answer:

they are not equal to

Step-by-step explanation:

please help due pretty soon​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the lines.

Hence, it is a straight line.

the standard equation of a straight line at (x1,y1) with slope m is =>

===> y-y1 = m (x-x1)

Option B.) is the correct answer.

====> y-4 = 2(x+1)

The figure below shows a right pyramid with a square base.
Imagine a cross-section of the pyramid formed by a plane cutting through it that meets these conditions.
• The plane passes through the top vertex of the pyramid.
The plane is perpendicular to the base of the pyramid.
What must be true about the cross section?
o It is a right triangle.
O It is an isosceles triangle.
0 It is an obtuse triangle.
It is an equilateral triangle.

Answers

Answer:

Step-by-step explanation:

please tell me what this answer is

Answers

Please like this I need pts

River racing us a company that provides inner tubes for a children and adults to float the river. The child tube has a diameter of 4 feet. River racing owns a total of 160 tubes and the total diameter of all the tubes is 430 feet. Write a system to determine the number of child tubes , c , and number of adult tubes, a , that river racing owns.

Answers

Answer:

The answer is below

Step-by-step explanation:

River racing us a company that provides inner tubes for a children and adults to float the river. The child tube has a diameter of 2 feet and the adult tube has a diameter of 3 feet. River racing owns a total of 160 tubes and the total diameter of all the tubes is 430 feet. Write a system to determine the number of child tubes , c , and number of adult tubes, a , that river racing owns.

Solution:

Let c represent the number of child tubes and let a represent the number of adult tubes owned by river racing.

Given that there are a total of 160 tubes, hence:

a + c = 160        (1)

The total diameter of all tubes is 430 feet, hence:

3a + 2c = 430   (2)

To find a and c, we have to solve equation 1 and 2 simultaneously. multiply equation 1 by 2 and subtract from 2:

a = 110

Put a  = 110 in eqn 1:

110 + c = 160

c = 50

Given the function f(x), what is the transformation f(x)+r, if r is a real number and r > 0?

A. The graph shifts r units down
B. The graph shift r units up
C. The graph shift r units right
D. The graph shift r units left

Answers

Answer:

C

Step-by-step explanation:

If r is a real number, then the x intercepts 0 < r, meaning r is greater than 0, you would shift right from 0 to your higher + number.

need the answer noww. please help me. show your work, correct answer will get brainliest,

Answers

Answer:

y==$281+$166=$447

in 11 weeks she pay $ 447

in 1 weeks she pay $447/11=40.6$

she paid off in 3+8=11 weeks

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