1/5(10x−5)=5x−1 is the problem.
some one help please.
9th grade math

Answer:   " x = 0.4191113191843072889 ;  0.4191113191843072889 " .

_________________________________________________

Step-by-step explanation:

_________________________________________________

Given:

___________

 " (4x² − 1)(x+3) − (2x² − 1)(2x+1) = x² " ;  Solve for "x" ;

___________

First, factor:

"(4x² − 1)" ;

= 4 x² − 2x − 2x − 1 ;

→ 2 x(2x +1) − 1(2x +1) ;

= (2x − 1)(2x + 1) .

___________

Now, rewrite:

___________

" (4x² − 1)(x+3) − (2x² − 1)(2x+1) = x² " ;

by substituting for:  "(4x² − 1)" ; as follows:

____________________

" (2x − 1)(2x + 1)(x+3) − (2x² − 1)(2x + 1) " ;

  =  " [(2x − 1)(x + 3) − (2x² − 1)] * (2x +1) = x² ;

___________

 Start with:

 "(2x − 1)(x + 3)" ;

___________

Note:  "(a + b)(c+d) = ac + ad + bc + bd " ;

___________

 →  (2x*x) + (2x*3)  + (-1*x) + (-1*3) ;

        =  2x² + 6x + (-1x) + (-3) ;

        =  2x² + 6x − 1x − 3 ;  

{Note: "Adding a negative is the same as "subtracting a positive."}.

            → Combine the "like terms":

                 + 6x − 1x = + 5x ;

and rewrite:

        =  2x² + 5x − 3 ;  

Now, rewrite the entire equation:

         →  [2x² + 5x − 3 − (2x² − 1)] * (2x +1) = x² ;

Now, consider this equation:

___________

         →  [2x² + 5x − 3 − 1(2x² − 1)] * (2x +1) = x² ;

   Now,  let us consider the:

          "  − 1(2x² − 1)] " ;

Take note of the "distributive property of multiplication" :

___________

       →  a(b + c) = ab + ac ;

___________

       → -1 [2x² + (-1) ] = (-1*2x²) + (-1* -1) ;

                                =  - 2x² + 1 ;

Now, we can rewrite the entire equation:

___________

       →  " (2x² + 5x − 3 − 2x² + 1) * (2x +1) = x² " ;

Now, consider the following part:

       →  " (2x² + 5x − 3 − 2x² + 1) " ;

          →  Combine the "like terms" :

               + 2x² − 2x² = 0 ;

               − 3 + 1 =  - 2 ;

→ and rewrite this part:

→  " ( 5x − 2) " ;

Now, we can rewrite the entire equation:

___________

       →  " (5x − 2) (2x + 1) = x² " ;

___________

Now, for the "left-hand side" of the equation:

___________

Note:  "(a + b)(c+d) = ac + ad + bc + bd " ;

___________

 →  " (5x − 2) (2x + 1) = (5x*2x) + (5x*1) +(-2*2x) + (-2*1) ;

                                 =    10x²  +  5x + (-4x)  +  (-2) ;

                                 =    10x²  +  5x  − 4x   − 2 ;

                        →  "Combine the "like terms" :

                                   + 5x  − 4x = + 1x '

                                 → and rewrite the expression:

                                 =    10x²  + 1x  − 2 ;

Now, we can rewrite the entire equation:

___________

             →   10x²  + 1x  − 2  =  x² ;

___________

Subtract:  "x² " ;  from Each Side of the equation:

___________

              →   10x²  + 1x  − 2 − x²  =  x² − x² ;

     to get:

              →    9x²  + 1x − 2 = 0 ; Solve for "x" ;

___________

      This equation is written in "quadratic format":

              →  " ax² + bx + c = 0 " ; {a ≠ 0} ;

          →  in which:  " a = 9  ; b = 1 ; c = -2 " ;

To solve for "x" using the "quadratic equation formula"

          →  x = {-b ± √(b² − 4ac) } /  {2a} ;   Plug in our known values:

              x = { -1 ± √(1² − 4(9)(-2) } /  {2*9} ;

              x = { -1 ± √[1 − (-72)} /  {18} ;

              x = { -1 ± √[1 +72} /  {18} ;

              x =  (-1  ± √73) / 18 ;

___________

     " x =  (-1 +√73)/18 ;  (-1 −√73) / 18 "  .

___________

Using calculator:

___________

 "  x = 0.4191113191843072889 ;  0.4191113191843072889 " .

___________

Hope this helps!

Good luck to you!

___________

Answer:

80%

Step-by-step explanation:

I'm assuming you want the average of the class.

62 + 78 + 83 + 84 + 93

= 400

400/5

= 80

Therefore Victor's overall test score is 80%

Answer:

jason: 60mph

marie: 50mph

Step-by-step explanation:

let jason drive at x miles per hour

let marie drive at x-10 miles per hour

let jason drive for y hours

let marie drive for y+1 hours

distance = speed * time

for jason:

300 = x * y

for marie:

300 = (x-10) * (y+1) = x*y + x - 10y -10

300 = x*y

divide both sides by x to solve for y

300/x = y

plug this into the second equation

300 = (x-10) * (300/x+1) = 300 -3000/x +x -10

300 = 300 -3000/x +x -10

subtract 300 from both sides

0 = -3000/x + x - 10

multiply both sides by x to get rid of the denominator

0 = x^2 -10x -3000

factor

0 = x^2 - 60x +50x -3000

0 = x(x-60) + 50(x-60) = (x+50)(x-60)

x = 60 or -50

x cannot be negative so x = 60mph

marie = 60-10 = 50mph

The sum of their squares is (x)^2 + (x-d)^2 + (x-2d)^2.

According to the statement

we have given that the 3 integers are in an arithmetic progression and their product is prime.

And we have to find the sum of their squares.

So, let the three integers which is A, B, C.

And according to the arithmetic progression the

A = x and B = x-d, C = x-2d. here d is the common difference and x is a 1st term.

So, there product is prime

then

(x) (x-d) (x-2d) = c -(1)

And

their sum of square is

(x)^2 + (x-d)^2 + (x-2d)^2 - (2)

So, The sum of their squares is (x)^2 + (x-d)^2 + (x-2d)^2.

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\((4\times 10^{3})-(3.39\times 10^{3})\implies (4000)-(3390) \\\\\\ 610\implies 61\times 10\implies 6.1\times 100\implies {\Large \begin{array}{llll} 6.1\times 10^{2} \end{array}}\)

The probability that the last passenger end up in his/her assigned seats is 0.20.

In the given question, there are 6 people in line to board a plane with 6 seats.

The first person has lost his boarding pass, so he takes a random seat.

Everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat.

We have to find the probability the last passenger ends up in his/her assigned seat.

Given 6 people with 6 Seats.

The probability that the last passenger end up in his/her assigned seats = 1/5

The probability that the last passenger end up in his/her assigned seats = 0.20.

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Answer:

12, 21, 30, 39, 48, 57, 66, 75, 84.  

Ninth term is 84.

Step-by-step explanation:

The rule for this sequence is "add 9".

So, using this rule, we can do......

12, 21, 30, 39, 48, 57, 66, 75, 84.

Remember to add 9 each time!

Best of luck :3

Answer:

x = 3

y = 9

Step-by-step explanation:

It is an equilateral triangle so all sides are equal and all angles are 60°.

This means that 20x = 60 and y=AB=AC=BC=9

Divide the number of micrometers by 10,000 to get the equivalent number of centimeters.

To convert micrometers to centimeters, you need to use the conversion factor between the two units. There are 10,000 micrometers in a centimeter.

Here are the steps to convert micrometers to centimeters:

1. Start with the number of micrometers you want to convert.
2. Divide the number of micrometers by 10,000 to get the equivalent number of centimeters.
3. The result is the number of centimeters equivalent to the given number of micrometers.

For example, if you want to convert 50,000 micrometers to centimeters, you would divide 50,000 by 10,000 to get 5 centimeters.

So, the conversion formula is:

centimeters = micrometers ÷ 10,000

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Answer:

4x+4

Step-by-step explanation:

Answer:

4x + 4

Step-by-step explanation:

By using the distributive property,

→ 4(x + 1)

→ (4 × x) + (4 × 1)

→ 4x + 4

Hence, the solution is 4x + 4.

Answer:

  A.  x = 7, y = 3

Step-by-step explanation:

The triangles are congruent by HL if the hypotenuses are congruent, and if the marked legs are congruent.

  3x -1 = 6y +2 . . . . hypotenuses are congruent

  2x = 5y -1 . . . . . . .legs are congruent

Subtracting 2 times the first equation from 3 times the second gives ...

  3(2x) -2(3x -1) = 3(5y -1) -2(6y +2)

  6x -6x +2 = 15y -3 -12y -4

  9 = 3y . . . . . . . . . . . add 7 and simplify

  y = 3 . . . . . . . . divide by 3

This value of y matches only answer choice A.

Answer:

b

c

a

d

Step-by-step explanation:

sum=addition

difference=subtraction

groups=hints multiplication

split into=division

Answer:

Hope this helps!

Statistical power is defined as the probability of rejecting a null hypothesis that is false. It is also known as the probability of detecting a real difference between two groups. It is important to have a sufficient amount of statistical power to detect true effects.

Basically, the probability of obtaining a statistically significant outcome from an experiment or study is known as statistical power. The formula for calculating statistical power is:

Power = 1 - β

Where β is the probability of type II error, which is the likelihood of failing to reject the null hypothesis when it is actually false.

It is important to assume or know certain information in order to calculate power, such as the sample size, effect size, alpha level, and standard deviation

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Answer:

6x +2x

Step-by-step explanation:

when the number= x, you can just form the equation as per usual. 6x = a number times 6; 2x = a number times 2.

x is used bc the number is an unknown value. only x can be used bc it is stated the same number. hsing different alphabets such as y or z indicates the unknown value ia different.

Answer:

\(x ^{2} + 8x + 12\)

Step-by-step explanation:

This works because of the method called "foil"

15 liquids that can be found in a kitchen include:

15 solids in a kitchen are:

When it comes to solids in the kitchen, we can mostly find either food ingredients, such as salt, flour, and spices, or actual food that can be prepared such as meat, vegetables, and bread.

As for liquids, these can be anything from drinks such as juice, water and wine, to liquids used for cooking such as oil, soy sauce and vinegar.

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Answer:

Step-by-step explanation:

Step 1: Equation at the end of step 1

Simplifying

60(x + 20) = 3x

Reorder the terms:

60(20 + x) = 3x

(20 * 60 + x * 60) = 3x

(1200 + 60x) = 3x

Solving

1200 + 60x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

1200 + 60x + -3x = 3x + -3x

Combine like terms: 60x + -3x = 57x

1200 + 57x = 3x + -3x

Combine like terms: 3x + -3x = 0

1200 + 57x = 0

Add '-1200' to each side of the equation.

1200 + -1200 + 57x = 0 + -1200

Combine like terms: 1200 + -1200 = 0

0 + 57x = 0 + -1200

57x = 0 + -1200

Combine like terms: 0 + -1200 = -1200

57x = -1200

Divide each side by '57'.

x = -21.05263158

Simplifying

x = -21.05263158

Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

To solve this exercise you have to solve each system of equations.

a)

To solve this equation system you have to equal both equations and solve for x:

- Pass -6x to the left side of the equation by applying the opposite operation to both sides of it

- Add 5 to both sides of the equal sign:

- Divide both sides by 10

- Replace the value of x in one of the equations and solve for y:

The solution for this equation system is (3,7)

b)

Replace the second equation into the first one:

- Distribute the multiplication on the parentheses term:

-Subtract 10x to both sides of the expression:

-Subtract 84 to both sides of the equal sign:

-Divide both sides by -24

- Replace the value of x in the second equation and solve for y:

The solution for this equation system is (4,14)

c)

- Write the second equation for y:

- Replace the expression in the first equation

-Distribute the multiplication on the parentheses term

- Subtract 69 to both sides of the equal sign

-Divide both sides by -45

-Replace the value of x in the expression obtained for y and solve:

The solution of this equation system is (2,-1)

d)

- Write the second equation for y:

-Replace the expression in the first equation:

-Distribute the multiplication on the parentheses term:

-Subtract 52 to both sides of the equation:

-Divide both sides by -29

-Replace this value in the expression obtained for y:

The solution to this equation system is (76/29,450/29)

The answer for this exercise is:

a → (3,7)

c → (2,-1)

b → (4,14)

e → (4,20)

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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Substitute the values in the expression.

Thus answer is 0.

Answer:

please mark brainliest

as it's not in root form and root 1 Is 1 it is a rational number

Step-by-step explanation:

you can easily find if a number is rational or not for eg root 4

root 4 is 2 so it will be rational where as root 3 there is no answer.for root 3 unless it decimal so it irrational as well as pie is irrational

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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The spread of the data in the histogram is uneven or skewed to the right.

A histogram is a graphical representation of data used to display the distribution of values in a dataset, showing data in bins or intervals along the horizontal axis.

The data distribution in the histogram is uneven or tilted to the right. This suggests that there are fewer students who have gone water skiing less frequently (1 to 5 trips) and more students who have gone water skiing more frequently (11 to 15 trips). The frequency is greatest between 11 and 15 visits, which is reflected by the largest bar in the histogram.

In given problem, the skewed distribution of the given data shows that there are more no. of the students doing water-skiing regularly than those who are doing it less frequently.

This might imply that there is a group of students who are more experienced or enthusiastic about water skiing, and they have gone on more excursions than other students who have gone on less trips. It also implies that the majority of students fall within the 11 to 15 trip period, which might imply a common pattern or trend in the data.

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The best description of the spread of the data is that it is skewed or unevenly distributed.

A histogram is a graphical representation of data used to display the distribution of values in a dataset, showing data in bins or intervals along the horizontal axis.

Based on the given histogram, the data is not evenly distributed across the five intervals. The majority of students have been water-skiing between 11 and 15 times, with a frequency of 5. There are fewer students who have been water-skiing between 16 and 20 times, with a frequency of 4, and even fewer students who have been water-skiing between 21 and 25 times, with a frequency of 3.

The spread of the data refers to how far apart the values in the dataset are from each other. In this case, the data is not evenly spread across the different intervals. The values in the dataset are more concentrated in the interval of 11 to 15, and less concentrated in the intervals of 1 to 5 and 21 to 25. This indicates that the majority of students have been water-skiing a similar number of times, while fewer students have been water-skiing either a lot or a little.

Therefore, the best description of the spread of the data is that it is skewed or unevenly distributed.

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The complete question is:

A group of students was asked about the number of times they had been water-skiing. The data is shown in the histogram.

A histogram titled Water Skiing Trips. The x-axis is labeled Number of Times Water Skiing and has intervals of 1 to 5, 6 to 10, 11 to 15, 16 to 20, and 21 to 25. The y-axis is labeled Frequency and starts at 0 with tick marks every 1 units up to 6. There is a shaded bar for 1 to 5 that stops at 1, for 6 to 10 that stops at 2, for 11 to 15 that stops at 5, for 16 to 20 that stops at 4, and for 21 to 25 that stops at 3.

Which of the following best describes the spread of the data? Explain its meaning in this situation?

Answer:

\(90 {cm}^{2} \)

Step-by-step explanation:

First we have to split the entire shape into smaller pieces. We see two triangles and 3 rectangles.

\(area \: of \: tringle = \frac{1}{2} base \times height\)

The base of the triangle is 3 and the height is 4

\( \frac{1}{2} (3) \times 4 = 6 \)

we then multiply 6 by 2 because there are two triangles and both of them are equal (have the same measurement): 《6 x 2 = 12 cm^2》

\(area \: \: of \: rectangle = length \times width\)

Therefore the area of the rectangle on the side would be: 《6 x 5 = 30》. It would also be multiplied by two because there are two rectangles at the side (both being equal) :《30 x 2 = 60 cm^2》

There is also a rectangle at the base of the shape, we use the same formula to find its area: 《6 x 3 = 18 cm^2》

We now add all of the areas that we got for the shapes: 12 + 60 + 18 = 90

We want to see which statement describes the image of a triangle after a dilation of scale factor of 2/3.

We will see that the correct option is C:

"Each angle has the same measure as its corresponding angle in the pre-image."

First, if we have a given figure and we apply a dilation of scale factor K, then all the measures of the given figures are affected by that dilation.

So if the 3 sides of the original triangle measured A, B, and C.

The new measures will be:

Notice that because all the sides changed proportionally, then the internal angles produced did not change after the dilation.

From this, we can conclude that the only correct option is C:

"Each angle has the same measure as its corresponding angle in the pre-image."

This says that the angles of the dilated triangle are the same ones as the angles of the initial triangle, which is true.

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The time is takes to manufacture the piece after two improvements is 28 minutes

From the question, we are to calculate how long it takes to manufacture a metal piece

First, we need to find the new time taken to manufacture the metal piece after the two improvements.

The first improvement reduces the time by 8%. This means that the new time is:

32 - (8% of 32)

= 32 - 2.56

= 29.44 minutes

The second improvement reduces the time by 5%. This means that the new time is:

29.44 - (5% of 29)

= 29.44 - 1.45

= 27.99 minutes

We can round this to the nearest minute, which gives us 28 minutes.

Hence, it takes 28 minutes to manufacture the metal piece.

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Answer:

C

Step-by-step explanation:

It would be the second next after. :)

Answer:

IT IS 85 popsicles

Step-by-step explanation:  it is in between the two