(17a ^ 3 * b ^ 2)/(15b ^ 3 * c ^ 2) * (18b ^ 4 * c ^ 3)/(8a ^ 2 * b * c ^ 2) =

Answers

Answer 1

Answer: (51ab^2)/(20c)

STEP

1

:

Equation at the end of step 1

 ((17•(a3))•(b2)) ((18•(b4))•(c3))

 ————————————————•————————————————

 ((15•(b3))•(c2))  ((23a2•b)•c2)  

STEP

2

:

Equation at the end of step

2

:

 ((17•(a3))•(b2)) ((2•32b4)•c3)

 ————————————————•—————————————

 ((15•(b3))•(c2))    23a2bc2  

STEP

3

:

           (2•32b4c3)

Simplify   ——————————

            23a2bc2  

Dividing exponential expressions :

3.1    b4 divided by b1 = b(4 - 1) = b3

Dividing exponential expressions :

3.2    c3 divided by c2 = c(3 - 2) = c1 = c

Dividing exponents:

3.3    21   divided by   23   = 2(1 - 3) = 2(-2) = 1/22

Equation at the end of step

3

:

 ((17•(a3))•(b2)) 9b3c

 ————————————————•————

 ((15•(b3))•(c2)) 4a2

STEP

4

:

Equation at the end of step

4

:

 ((17•(a3))•(b2)) 9b3c

 ————————————————•————

   ((3•5b3)•c2)   4a2

STEP

5

:

Equation at the end of step

5

:

 (17a3 • b2)   9b3c

 ——————————— • ————

  (3•5b3c2)    4a2

STEP

6

:

             17a3b2

Simplify   —————————

           (3•5b3c2)

Dividing exponential expressions :

6.1    b2 divided by b3 = b(2 - 3) = b(-1) = 1/b1 = 1/b

Equation at the end of step

6

:

  17a3   9b3c

 ————— • ————

 15bc2   4a2

STEP

7

:

Dividing exponential expressions :

7.1    a3 divided by a2 = a(3 - 2) = a1 = a

Dividing exponential expressions :

7.2    b3 divided by b1 = b(3 - 1) = b2

Dividing exponential expressions :

7.3    c1 divided by c2 = c(1 - 2) = c(-1) = 1/c1 = 1/c

Final result :

 51ab2

 —————

  20c


Related Questions

Which of the numbers listed below are solutions to the equation? Check all
that apply.
x² = -64
O
A. -8
O
B. -64
0 C. 8
1
D. -4
u
E. 64
F. None of these

Answers

Answer:

F. None of these

Step-by-step explanation:

A number can never be negative when squared unless an imaginary number is involved. Since none of the answers involve i, the answer must be F. None of these.

Assuming that you have 50 subjects that you want to randomly assign to two different groups of 25, explain how you would use a random number table to do it. (10 points; 7 for your answer, 3 for response to others' comments.)

Answers

A random number table can be used by first assigning a number to each subject and then randomly selecting the subjects for each group.

What is a random number table?

This is table that contains random numbers and it is used to select random samples.

How to use it in this case?Assign a number to each participant from 1 to 50.Grab the random number table and without looking point at a number in the table.If the last two digits of the number are between 01 and 50, assign the participant to the first group. If not select another number.Assign 25 participants to the first group using this metho and then automatically assign the remaining 25 participants to the second group.

Learn more about numbers in: https://brainly.com/question/17429689

if x+y = -10 and x-y = 2 what is the value of x

Answers

Answer:

  x = -4

Step-by-step explanation:

The solution to a "sum and difference" system of equations can be found by adding the equations together.

  (x +y) +(x -y) = (-10) +(2)

  2x = -8 . . . . . . simplify

  x = -4 . . . . . . . divide by 2

_____

Additional comment

 y = -6, though this question did not ask that value.

Express in the form 1 : n , give n as a demical : 20 : 15

Answers

Answer:

1 : 0.75.

Step-by-step explanation:

15/20 = 0.75

So its 1 : 0.75

Answer:

1 : 0.75

Step-by-step explanation:

20÷20=1

15÷20=0.75

n=0.75

What must be a factor on the polynomial Function F(x) graphed on the coordinate plane below?

X-3
X-1
X+1
X+2


Answers

Answer:

x - 1

Step-by-step explanation:

The graph touches the x-axis at x = 1, its factor would be (x - 1)

Luke bought a pair of shoes online for $78. He used a coupon code to get a 40% discount. The website also applied a 20% processing fee to the price after the discount. How much was the processing fee? Round to the nearest cent.

GIVING BRAINLIEST​

Answers

Answer:

$9.36

Step-by-step explanation:

Te processing fee was applied to the discounted price.

The discounted price is

78 - 40% = 78*(100 - 40)/100 = 78*0.6 = 46.8

Amount of fee is

20% of 46.8 = 0.2*46.8 = 9.36

NO LINKS!! Explain your answers (show the support by showing the changes in x and y on your table). If the relationship is linear, inverse, or exponential, write the equation.
#5 and #6​

Answers

Answer:

Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

Inverse relationship:  the value of one variable decreases as the value of the other variable increases.

Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

Question 5

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values are calculated by dividing 35 by the x-value.

[tex]\sf y=\dfrac{35}{x}[/tex]

**I believe there is a typing error in the table and that the y-value of x = 3 should be 11.67**

Question 6

As the x-value increases, the y-value increases.  The y-value increases by a factor of 5 for each x-value increase of 1 unit.

Therefore, this is an exponential relationship.

[tex]\sf y=5^x[/tex]

I need help please answer
Distances in space are measured in light-years. The distance from Earth to a star is 6.8 × 1013 kilometers. What is the distance, in light-years, from Earth to the star (1 light-year = 9.46 × 1012 kilometers)?

A 2.66 light-years
B 7.18 light-years
C 7.74 light-years
D 9.46 light-years

Answers

Answer:

B) 7.18

Step-by-step explanation:

sorry if I am wrong. I hope this helps.

If UVWX is a parallelogram, what iS the value of y?

Answers

The left and right sides need to be the same to be a parallelogram .

15 = 1/4y

Divide both sides by 1/4

Y = 60

Answer: B. 60

Answer:

its 60

Step-by-Step Explantion:

A shop charges `\$1.95` for a small `3`-ounce soft serve. 



What is the cost per ounce of soft serve?

Answers

0.65 because you divide 1.95 by 3!

x − 6 = -4 what is the solution

Answers

Step-by-step explanation:

[tex]x - 6 = - 4 \\ \\ \implies \: x = - 4 + 6 \\ \\ \implies \: x = 2[/tex]

Answer:

2

Step-by-step explanation:

because if you substitute 2-6 you will get negative 4

what is 10/9 in a fraction

Answers

This kinds of fractions called improper fractions

The rule is

p/q is a rational number and p>q

We can turn it into mixed fraction

10/91-1/9

Each interior angle of a regular polygon has a measure of 40.how many sides does the polygon have?​

Answers

Given Information :-

Each exterior angle of a regular polygon has a measure of 40°

To Find :-

The number of sides of the polygon

Formula Used :-

[tex] \qquad \star \: \underline{ \boxed{ \green{ \sf No.~of~sides = \dfrac{360^ \circ}{exterior ~angle}}}} \: \star[/tex]

Solution :-

Using the formula,

[tex] \sf \dashrightarrow No. ~of~sides= \dfrac{360}{40} \\ \\ \\ \sf \dashrightarrow No. ~of~sides= \frac{ \cancel{360}}{ \cancel{40} } \\ \\ \\ \sf \dashrightarrow No. ~of~sides= \underline{ \boxed{ \blue { \frak{9}}}} \: \star[/tex]

Thus, the polygon is a nonagon, and hence has 9 sides.

[tex] \underline{\rule{227pt}{2pt}} \\ \\ [/tex]

need help with this math hw

Answers

It’s option number 1

True me it’s hard to explain but I’m 100% sure it’s number 1

For the given equation, the center will be (1, -3) and the radius will be 3.

Correct option is (3)

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Moreover, every angle has rotational symmetry around the center.

As per the given data:

Equation of the circle is [tex](x - 1)^2 + (y + 3)^2 = 9[/tex].

For a circle with equation [tex](x - a)^2 + (y - b)^2 = r^2[/tex]

The center is given by (a, b) and the radius is given by r.

Similarly comparing with the equation  [tex](x - 1)^2 + (y - (-3))^2 = 3^2[/tex].

The center will be (1, -3) and the radius will be 3

Hence, For the given equation the center will be (1, -3) and the radius will be 3.

To learn more about circle, click:

brainly.com/question/11833983

#SPJ7

2x+3y=8 find the solution using addition elimination method

Answers

Answer:

X equals 1, and Y equals 2

First, find the value of 2x, we have to assign one to make the problem work.

[tex]2x = 2 * 1[/tex]

Now, find y.

[tex]3y = 3 * 2[/tex]

Find the results of the multiplication. Remember that anything times 1 is always the same number, the base number.

[tex]2 * 1 = 2[/tex]

[tex]3 * 2 = 6[/tex]

Now, add.

[tex]6 + 2 = 8[/tex]

________________________________________________________

Now, we go over what we learned.

________________________________________________________

What have we learned?

We learned how to make inequalities true by assigning values to substitutions.

Questions related to this topic? Ask me in the comments box.

20 60 100 140 180 120 What percent of the time did Main Street have 100 or more cars per hour?

Answers

The distribution of the cars is an illustration of percentages

The main street has 100 or more cars per hour for 66.7% of the time

How to determine the time percentage?

The dataset is given as:

20 60 100 140 180 120

From the above dataset, we have:

100 or more cars = 4Total distribution of cars = 6

The percentage is then calculated as:

Percentage= 4/6 * 100%

Evaluate the product

Percentage= 66.7%

Hence, the main street has 100 or more cars per hour for 66.7% of the time

Read more about percentages at:

https://brainly.com/question/11360390

If the circumstances of the circle below is 72, what is the length of AB (the minor arc)?

Answers

Answer:

12

Step-by-step explanation:

In the given circle circumference of the circle is = 72.

Since circumference of the circle = 2πr

[tex]2\pi r=72[/tex]

[tex]\frac{2*22}{7*r}=72[/tex]

[tex]r=\frac{72*7}{44}=\frac{504}{44}=\frac{252}{22}=\frac{126}{11}=11.45[/tex]

[tex]=\pi r \;theta /180=\frac{22}{7*11.45}*\frac{60}{180}[/tex]

[tex]11.99=12(About)[/tex]

Thus, Answer = 12

~lenvy~

what is the 5th grade meaning of congruent

Answers

Congruent means the same shape and the same size

1. Mlla's cranbenyulce recipe uses 3 cups of water and 1 cup of cranberry concentrate.
Enter the percentage of the cranberry Juice recipe that is water.
126

Answers

Answer:

¾. because 3 out of 4 are water cups

Answer:

75%

Step-by-step explanation:

3 cups of water to 1 cup of cranberry concentrate.

So, 4 cups of ingredients.

The percentage of  the cranberry juice that is water:

3 cups of water/4 cups of ingredients= 3/4.

To express 3/4 in percent, we multiply the fraction by 100%(percent).

[tex]\frac{3}{4}[/tex] * 100% = 75%

Hope this helps!

Please mark as brainliest!


Using proportions to solve for missing sides.
DGH~DEF
Find the value of x.

Answers

Answer:

25

Step-by-step explanation:

If ΔDGH ~ ΔDEF , then [tex]\frac{DG}{DE}[/tex] = [tex]\frac{GH}{EF}[/tex]

[tex]\frac{x+3}{2x-1}[/tex] = [tex]\frac{52}{91}[/tex]

After cross-multiplication: 52(2x - 1) = 91(x + 3)

104x - 52 = 91x + 273

13x = 325

x = 25

Answer:

x = 25

Step-by-step explanation:

DGH~DEF ⇒ their corresponding sides are proportional

then

[tex]\frac{DG}{DE} =\frac{GH}{EF}[/tex]

then

[tex]\frac{52}{91} =\frac{x+3}{2x-1}[/tex]

then

[tex]\frac{4}{7} =\frac{x+3}{2x-1}[/tex]

then

4(2x-1) = 7(x+3)   [cross multiply]

then

8x - 4 = 7x + 21

then

8x - 7x = 21 + 4

then

x = 25

Divide.

3/5 ÷ 2/5 = ???
A.
2/3
B.
1 1/2
C.
6/25
D.
4/5

Answers

Answer:

i put it in a calc and got 1 1/2 which simplifies to 2/3

Step-by-step explanation:

Answer: a?

Step-by-step explanation:

i did 3 dived by 5 then 2 diviided by 5, dived the awnsers and got 2/3

Solve the following system of equations:
{−3x+4y=7, 7x−12y=−11
Provide your answer below:

Answers

If I am correct it is -11

Answer plssi pass na bukas​

Answers

Answer:

176.6 dm^2

Step-by-step explanation:

See attached image.

What is cosK?
(25)/(7)
(25)/(24)
(7)/(25)
(24)/(25)

Answers

Step-by-step explanation:

7/25

we need to remember this triangle with 90° 7, 24, 25

write 82/10 as a mixed number in simplest terms brainly

A) 8 2/10
B) 10 1/4
C) 8 1/5
D) 2 4/5

Answers

Answer:

C) 8 1/5

Step-by-step explanation:

82/10= 8 2/10= 8 1/5

Answer:

A) 8 2/10

Step-by-step explanation:

10 goes into 82 8 times with a remainder of 2

Find the value of x. X+5 4 2x A x = [?] Enter​

Answers

Answer:

x = 3

Step-by-step explanation:

In [tex]\triangle ABC,\: DE||AC[/tex]

[tex]\implies [/tex]By Basic Proportionality Theorem:

[tex]\frac{BD}{DA}=\frac{BE}{EC} \\ \\ \implies \: \frac{x + 5}{2x} = \frac{4}{3} \\ \\ \implies \: 3(x + 5) = 4(2x)\\ \\ \implies \: 3x +15 = 8x \\ \\ \implies \: 3x - 8x = - 15 \\ \\ \implies \: - 5x = - 15 \\ \\ \implies \: x = \frac{ - 15}{ - 5} \\ \\ \implies \: x = 3[/tex]


PLEASE HELP!!!

Write an expression using fractions to show how to determine the amount that each person will pay?Then calculate each person's contributions showing all steps in long division.
my chart:
jazzy: 35.7$
emily:48.9$
sarah:48.9$
layla:19.3$
total amount: 327$

Answers

Four people went shopping at a local grocery store, and bought a random amount of items. What is the total?Jane: 4.26$John: 9.76$Zoey: 6.33$Hailey: 14.00$

________________________________________________________

Solve

To solve this problem, we must add each price together for the total.

[tex]4.26 + 9.76 + 6.33 + 14 = 34.35\[/tex]

To calculate our total store profits while finding the four contributions, we could divide by percent. For this case, 6%, also equal to 0.06

[tex]\frac{(estimate)34}{6\%(0.06)} = 573(estimate)[/tex]

Now that we have 573 as our estimate, subtract 573 by 34

[tex]573 - 34 = 539[/tex]

Therefore, the store's total profits were 573 dollars, and the four contributions from Jane, John, Zoey, and Hailey contributed to 34 dollars of it.

________________________________________________________

SolvedWe made 573$ total! That is a lot.Note that using percent and division was actually to calculate the store's total profits followed by the four contributions listed earlier. If any of this confuses you, please feel free to ask a question.

________________________________________________________

Questions?

Ask in the comments box.

Find the solutions to the equation below.

Check all that apply.

2x^2 + 7x + 3 = 0

A. x = 4

B. x = -1/2

C. x = 2

D. x = 7

E. x = 3

F. x = -3

Answers

Answer:

B and F.

Step-by-step explanation:

2x^2 + 7x + 3 = 0

2x^2 + 6x + x + 3 = 0

2x(x + 3) + 1(x + 3) = 0

(2x + 1)(x + 3) = 0

x = -1/2, -3.

help me please this is hardddd

Answers

Answer:

4) C

5) A, B, and D

6) 0.99m+50

7) h=d/2

Step-by-step explanation:

Idc about this question, someone answer the question before this plsss, but here, math problem for fun:

Graph this and simplify it >:):
4x - 8x + 6x^2 - 28x + 7y + (y - 4)^2 - 20y = (y + 5 - x)^2

Answers

Answer:

   

Step-by-step explanation:

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