Determine which solution is correct for solving StartFraction 5 over 7 EndFraction y = 6using reciprocals.


Answers

Answer 1

Given:

The equation is:

[tex]\dfrac{5}{7}y=6[/tex]

To find:

The solution of the given equation by using the reciprocals.

Solution:

We have,

[tex]\dfrac{5}{7}y=6[/tex]

We need to multiply both sides by the reciprocal of [tex]\dfrac{5}{7}[/tex] to isolate the variable x.

The reciprocal of [tex]\dfrac{5}{7}[/tex] is [tex]\dfrac{7}{5}[/tex]. So, multiplying both sides by [tex]\dfrac{7}{5}[/tex], we get

[tex]\dfrac{5}{7}y\times \dfrac{7}{5}=6\times \dfrac{7}{5}[/tex]

[tex]y=\dfrac{42}{5}[/tex]

[tex]y=8.4[/tex]

Therefore, the value of y is 8.4.

Answer 2

Answer:

42/5

Step-by-step explanation:


Related Questions

-15 POINTS-
What’s the length of GH

Answers

Answer = 22

To find the length of GH find the distance from G to 0 and 0 to H. The distance from -14 to 0 is 14 and the distance from 0 to 8 is 8. Add these distances since they make the distance of GH like 14 + 8 = 22.

Find Y
Special right triangles
Please last question of the day!! Due very soon

Answers

Answer:

y= root 2 kilometers

Step-by-step explanation:

[tex] \frac{2 \sqrt{2} }{2} = \sqrt{2} [/tex]

That answer that the person above commented is correct

Round 0.09305085 to the nearest hundredth

Answers

0.09, I believe that’s the answer

Add 5+23. Enter your answer below as an improper fraction in lowest
12 10
terms, using the slash (7) as the fraction bar.

Answers

Answer: 163/60

Step-by-step explanation:

when adding fractions you have to get to a common denomenator and then add your fractions together

1. Can the following quadratic equation be solved by factoring?
x² - x-3=0
yes
no

Answers

Answer: No. This equation can't be solved by factoring

Pat was shopping and found a jacket with the original price of $120 on sale for $9.99. What was the percent decrease in the cost?

Answers

Answer:

91.675% decrease

Step-by-step explanation:

If a city that currently has a population of 1000 triples in size every 8 years, what will the population be in 24 years? Is the population growth modeled by a linear function or an exponential function?

Answers

Step-by-step explanation:

I'm pretty sure it's 19200? or maybe im writing is wrong

Answer:

After 24 years population of the city will be 27000.

exponential function.

Step-by-step explanation:

in picture

what percent of 50 is 25 with solution​

Answers

25 is 50% of 50
Because if you times 25 by 2 then you get 50
Times 50% by 2 and you get 100%
Therefore the answer is 50%

Answer:

50%

What is a percentage?

A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

Looking at the problem, we can take 25, and divide 50 by it.

25 ÷ 50 = 0.5

0.5 is equal to 5/10, which is also equal to 50%, meaning that 50% of 50 is 25.

Helpp!! Solve the system by graphing.

Answers

Answer - solution to the equations ( 3, -2)

See attached graph showing where the two lines intersect, that is your solution

Whoever answers the previous question after this gets 50 points and brainliest if correct.

Answers

Step-by-step explanation:

I said it I knew it I did it I submit for you so I'm the one that is if if you know me.

Three long-sleeve T-shirts sell for $14.97 What is
the unit price? Write and solve an equation using
a variable

Answers

Answer:3x=4.99

Step-by-step explanation: 14.97/3= 4.99

Which radicals are already in the simplest form?

Answers

Therefore , answering the questions, we can state that a factorial radicals is streamlined, or in its most basic form, when the user ’s behalf has no square components.

what is radicals?

Radical is the name for the symbol for the scale factor or nth root. Root expressions are expressions that have square roots. Radicand: An expression or value enclosed by a radical symbol. Examples are the radicalism 7, 2y+1, and on and on. Radicals can also be described using the terms below: Equations that contain radicals are known as radical equations. The expression contained within the square root is referred to as the "root expression."

Here,

We refer to a sum of squares radical as being simplified or in its purest form when the radicand contains no square components.

The simplest form of a radical also exists when the user ’s behalf is not a fraction.

so that radical = 2√x / x

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Round 0.2275 to the nearest hundredth

Answers

Answer:

0.23 is the answer

I wish you luck in your assignments.

Which fraction is represented by the red portion of the picture?

A. 3/8
B. 2/3
C. 5/3
D. 3/5
E. 1/2
F. 3/2

NO LINKS PLEASE

Answers

B. 2/3

bcuz there are 3 slices and 2 of them are shaded

If 10^x = 5, what is x?

Answers

Answer:

x=0.69897009

Step-by-step explanation:

expand by logarithms

10^x=5

=log(10^x)=log(5)

=x log(10)=log (5)

log base 10 of 10 is 1

x.l =log(5)

multiple bothside by 1

x=log(5)

x=0.6989709

8.
Does a triangle with these side lengths exist?20, 10,9
Da) Yes
I b) No

Answers

Answer:

yes

Step-by-step explanation:

As you probably know, there is still a difference in wages for men vs. women in this country. Besides straight-up
discrimination and bias (which has been lessening over the decades), people point to many other factors that continue
to keep the average amount earned by a full-time, year-round female employee lower than males, on average (like
women taking more time off for maternity than men do for paternity, career selection, etc.).
Every ten years as part of the census, data is collected that gives the median income of "full-time year-round workers."
In 2010 the median income of FTYR workers was $42,800 for men, compared to $34,700 for women. In 1960, if you
adjust the wages to 2009 dollars, wages were $38,907 for men and $23,606 for women.
Based on this data, when might we predict women's wages might catch up to men's? Show all work you did to get
your answer. AND NO LINKS TO FILES OR ANYTHING LIKE THAT.

Answers

9514 1404 393

Answer:

  year 2066

Step-by-step explanation:

In order to do this, we need to make some assumptions. We'll assume that the 2010 wages are also in 2009 dollars. (If not, there's an inflation factor that needs to be accounted for.) We also need to assume the form of the change in wages over time. The simplest assumption there is that wages change linearly.

Then we can write equations for men's and women's wages as follows:

Using the 2-point form of the equation for a line, we have ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Men's wages

  y = (42800 -38907)/(2010-1960)(x -1960) +38907

  y = 77.86(x -1960) +38907

  y = 77.86x -113,698.6 . . . . . where x is the year

Women's wages

  y = (34700 -23606)/(2010 -1960)(x -1960) +23606

  y = 221.88x -411,278

These values are equal when ...

  77.86x -113,698.6 = 221.88x -411,278

  297,580.2 = 144.02x . . . . . . . add 411278 -77.86x

  2066.2 = x . . . . . . . divide by the coefficient of x

Based on this data we predict women's wages might catch up to men's in the year 2066, about 56 years from 2010.

_____

Alternate solution

In the 50 years from 1960 to 2010, the fraction of men's wages that women receive has increased from 23606/38907 ≈ 0.606729 to 34700/42800 ≈ 0.810748. That is a change of about 0.204 of men's wages in 50 years. The remaining fraction of 1-0.810748 = 0.189 might be expected to be wiped out in another (0.189/0.204)(50 years) = 46.4 years. That would be the year 2056.

The different results come from different assumptions. For the second solution, we assumed that the fraction improved linearly. Under the first assumption, that wages improved linearly, the fractional improvement is non-linear, and decreases over time.

_____

Additional comment

The usual assumption regarding things financial is that they change exponentially over time. If we use an exponential model, instead of a linear one, wage parity is reached in about 2046.

Given that XV = 11 and XQ = 3, is X the incenter or the circumcenter of /? Find XR. A. circumcenter; XR = 3 B. incenter; XR = 3 C. circumcenter; XR = 11 D. incenter; XR = 11

Answers

Answer:

The answer is C.

I did the practice.

how to solve this question​

Answers

this is the answer when the inequality is solved

The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).
Probability
Job Satisfaction Score IS Senior Executives IS Middle Managers
1 0.05 0.04
2 0.09 0.10
3 0.03 0.12
4 0.44 0.45
5 0.39 0.29
1. What is the expected value of the job satisfaction score for senior executives (to 2 decimals)?
2. What is the expected value of the job satisfaction score for middle managers (to 2 decimals)?
3. Compute the variance of job satisfaction scores for executives and middle managers (to 2 decimals).
4. Compute the standard deviation of job satisfaction scores for both probability distributions (to 2 decimals).
5. What comparison can you make about the job satisfaction of senior executives and middle managers?

Answers

Answer:

1.)E₁  =  4,03

2) E₂ = 3,85

3) σ₁²  =  1,23

4)σ₂²  = 1,14

5)σ₁  = 1,11

6)σ₂   = 1,07

5 ) Distribution of senior executive and Middle Manager look pretty similar , diference in median  0,18 and difference in standard deviation 0,04

Step-by-step explanation:

1.-Expected value of the job satisfaction score for senior executive

E₁, variance σ₁ and standard deviation  σ₁   and expected value  of the job satisfaction score for  Middle Manager E₂  variance σ₂ and standard deviation  σ₂

E(X)  =  ∑ ( xi *f(xi)

JSS      IS senior executive                   IS Middle Managers

1                      0,05                                             0,04

2                     0,09                                              0,1

3                      0,03                                             0,12

4                      0,44                                             0,45

5                      0,39                                             0,29    

∑ xi*f(xi)  =  1*0,05 +  2 *0,09 + 3*0,03 + 4 * 0,44 + 5 * 0,39

E₁  =  0,05 + 0,18  + 0,09 + 1,76  + 1,95

1.)E₁  =  4,03

2.) ∑ xi*f(xi)

E₂ = 1* 0,04  + 2 * 0,1 + 3*0,12 + 4*0,45 +5*0,29

E₂  = 0,04  +  0,2  +  0,36 + 1,8 + 1,45

E₂ = 3,85

2 ) E₂ = 3,85

3) Variance of job satisfaction scores for senior executives.

x²       f(x)                  x²* f(x)

1          0,05                0,05

4         0,09                 0,36

9         0,03                 0,27    

16        0,44                 7,04

25       0,39                 9,75

σ₁²  = [ ∑ x²*f(x) ] - μ²           ∑ x²*f(x)  = 17,47

In this case    μ = E       μ²   =  ( 4,03)²   =  16,24

For senior executives:   σ₁²  = 17,47  - 16,24   = 1,23

σ₁²  =  1,23

And  standard deviation σ₁  = 1,11

For Middle managers

x²       f(x)                  x²* f(x)

1          0,04                0,04

4         0,1                      0,4

9         0,12                  1,08      

16        0,45                 7,2

25        0,29                7,25

                ∑ x²*f(x)  =  15,97

σ₂²  =  15,97  -  (3,85)²  =  15,97  -  14,82

σ₂²  = 1,14

σ₂   = √1,14   =  1,07

5 ) Distribution of senior executive and Middle Manager look pretty similar , diference in median  0,18 and difference in standard deviation 0,04

What is the slope of a line that is parallel to the graph of the function below.
y = 1/4x-3

Answers

Answer:

The slope of a line that is parallel to the graph of the function below is 1/4x

Step-by-step explanation:

The only way you can have a line that stays parallel to another is if they have the same slope, and the slope of them both is 1/4x

Select the correct answer.
Steve is trying to determine the proper rectangular pan to use for his banana bread recipe. He has four different pans that he can use, each with the same length and width but all with different heights.

Which of the following formulas will show how Steve can determine the height of a rectangular pan?

Answers

I believe it's A

I hope this helps and if I'm wrong I apologize

Find the length of c to the nearest tenth using the Pythagorean theorem

Answers

Answer:

c = 10.6

Step-by-step explanation:

c² = a² + b²

c² = 7² + 8²

c² = 49 + 64

c² = 113

Take the square root of both sides

c = 10.6301458127

Rounded

c = 10.6

Please helping faster if you know please?!!!!!!

Answers

Your answer is 72%
(71.99233716475094%)

In a charity marathon to raise money for Typhoon Ulysses, Alex finished 43rd out of 200 entrants. Find his percentile rank.

Answers

answer: 21.5%
explanation: 43 divided by 200 = 0.215

Move the decimal to the right two times to make it a percent. Therefore answer will be 21.5%

The percentile rank in a charity marathon to raise money for Typhoon Ulysses is 21.5 percentile.

What is the Percentile?

A percentile (or a centile) is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall. For example, the 20th percentile is the value (or score) below which 20% of the observations may be found.

Rank of Alex is 43rd

Total Entrants is 200

Percentile = Rank of Alex X 100 / Total Entrants

                 = 43 X 100 / 200

                 = 21.5 percentile

Thus, the percentile rank in a charity marathon to raise money 21.5 percentile.

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Simplify the following rational expression. Be sure to state the condition.

Answers

The simplified form of the rational expression (x²+5x+6)/(3x+6) is (x+3)/2.

And we used factorization to find the simplified form.

What is factorization?

Factorization is a process to simplify the expression by finding the factors of that expression.

And to find the same expression from factors, you have to reverse the process.

Given:

The rational expression,

(x²+5x+6)/(3x+6).

Simplifying,

the expression using factorization method.

First, (x²+5x+6),

= x²+2x+3x+6

= x(x+2)+3(x+2)

= (x+2) (x+3)

And 3x+6 = 3(x+2)

Substituting the simplified values to the given expression,

(x²+5x+6)/(3x+6),

= (x+2) (x+3) / {3(x+2)}

Factor out the common factor,

= (x+3)/2

Therefore, the simplified form is (x+3)/2.

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Thomas counts the number of cars he sees in the parking lot of the school each hour of the day. He counted the following number of cars the first four hours of the day.
•12 cars the first hour
•24 cars the second hour
•36 cars the third hour
•48 cars the fourth hour
What is true of the function Thomas wrote that represents the number of cars as a function of the number of hours, h? Select all that apply.

Answers

I can’t answer this question without Thomas’ function and the answer choice, I’m sorry I couldn’t help further
Every hour = +12 cars

I don’t know if you’re asking that?? I can’t really understand.

Complex mathematical

Answers

A) [tex]$x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i$[/tex]

B) [tex]$y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i$[/tex]

c) [tex]$y-z=(\sqrt{3}-1)-\sqrt{3} i$[/tex]

are the value of given algebraic expression.

What is Complex Number?

The numbers which can be expressed in the form of [tex]$x+iy[/tex] where, [tex]$x, y$[/tex] are real numbers and 'i' is an imaginary number called "iota".

here [tex]$\mathrm{i}$[/tex] is iota whose value is: [tex]$\mathrm{i}=\sqrt{-1}[/tex]

Given .

[tex]$$\begin{aligned}& x=1+\sqrt{3}+2 i \\& y=\sqrt{3}-(1+\sqrt{3}) i \\& z=1-i\end{aligned}$$[/tex]

upon solving two complex number we solve coefficient of iota together and real number together.

A) to find [tex]$(x+y)$[/tex]

[tex]$$\begin{aligned}& x+y=(1+\sqrt{3}+2 i)+(\sqrt{3}-i-\sqrt{3} i) \\& x+y=(1+2 \sqrt{3})+(2-1-\sqrt{3}) i \\& x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i\end{aligned}[/tex]

B) [tex]$\mathbf{y}+\mathbf{z}$[/tex]

[tex]$$\begin{aligned}& y+z=(\sqrt{3}-i-\sqrt{3} i)+(1-i) \\& y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i\end{aligned}[/tex]

c) [tex]$\mathbf{y}-\mathbf{z}$[/tex]

[tex]$$\begin{aligned}& y-z=(\sqrt{3}-i-\sqrt{3} i)-(1-i) \\& y-z=(\sqrt{3}-1)-\sqrt{3} i\end{aligned}[/tex]

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ZAOC measures 150°. OC is 20° clockwise from the negative x-axis, as shown. If ZAOC is rotated
60° counterclockwise, what angle does OC make with the x-axis?

Answers

Answer:

40 degrees clockwise.

Step-by-step explanation:

If we rotate 150 degrees counterclockwise by 60 degrees , we would end up at 210 so

210-170=40 degrees

It would be clockwise.

Select largest number from 16,48,8

Answers

Answer:

48.

Step-by-step explanation:

8 < 16 < 48

48 > 16 > 8

Answer:

Step-by-step explanation:

Select largest number from 16,48,8

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