-1/2(6x-10)=1/3(6x+9)

Answers

Answer 1

Answer:

x = 2/5

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

-1/2(6x - 10) = 1/3(6x + 9)

Step 2: Solve for x

[Distributive Property] Distribute parenthesis:                                               -3x + 5 = 2x + 3[Subtraction Property of Equality] Subtract 2x on both sides:                      -5x + 5 = 3[Subtraction Property of Equality] Subtract 5 on both sides:                        -5x = -2[Division Property of Equality] Divide -5 on both sides:                                x = 2/5

Related Questions

The sum of a number and its inverse is 3 29 / 52. Find the number?​

Answers

What does the inverse mean in this scenario

Choose the system of inequalities that best matches the graph below. A. B. C. D.

Answers

The system of inequalities that is graphed is:

y ≤ - (2/3)*x

y < x - 3

So the correct option is B.

Which system of inequalities is the graphed one?

First, we can see that for both of the inequalities the shaded part is below the lines.

You also can see that the solid line (correspondent to the symbol ≤) is the one with a negative slope, and the dashed line (correspondent with the line <) is the one with a positive slope.

Only with that, we conclude that the correct option is B.

y ≤ - (2/3)*x

y < x - 3

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What is the x intercept of the graph that is shown below? Please help me

Answers

Answer:

(-2,0)

Step-by-step explanation:

The x intercept is the value when it crosses the x axis ( the y value is zero)

x = -2 and y =0

(-2,0)

How do you make 2.318181818 a mixed number

Answers

https://brainly.com/question/13063550


Hope this helps!

PLEASE HELP!! WHOEVER HELPS FIRST AND GETS IT CORRECT GETS BRAILIEST!! By the way, TWO people need to answer so I can mark brainliest.

Answers

Answer:

0.045

Step-by-step explanation:

(0,4x0,5x0,3)-(0,2x0,5x0,15)

A solid is formed by rotating the region bounded by y = x − x^2 and y = 0 about the line x = 2 . Use the shell method to find the volume of the solid.

Answers

Answer:

The volume of the resulting solid is π/2 cubic units.

Step-by-step explanation:

Please refer to the diagram below.

The shell method is given by:

[tex]\displaystyle V = 2\pi \int _a ^b r(x) h(x)\, dx[/tex]

Where the representative rectangle is parallel to the axis of revolution, r(x) is the distance from the axis of revolution to the center of the rectangle, and h(x) is the height of the rectangle.

From the diagram, we can see that r(x) = (2 - x) and that h(x) is simply y. The limits of integration are from a = 0 to b = 1. Therefore:

[tex]\displaystyle V = 2\pi \int_0^1\underbrace{\left(2-x\right)}_{r(x)}\underbrace{\left(x - x^2\right)}_{h(x)}\, dx[/tex]

Evaluate:

[tex]\displaystyle \begin{aligned} V&= 2\pi \int_0 ^1 \left(2x-2x^2-x^2+x^3\right) \, dx\\ \\ &= 2\pi\int _0^1 x^3 -3x^2 + 2x \, dx \\ \\ &= 2\pi\left(\frac{x^4}{4} - x^3 + x^2 \Bigg|_0^1\right) \\ \\ &= 2\pi \left(\frac{1}{4} - 1 + 1 \right) \\ \\ &= \frac{\pi}{2}\end{aligned}[/tex]

The volume of the resulting solid is π/2 cubic units.

Answer:

pi/2

Step-by-step explanation:

I always like to draw an illustration for these problems.

For shells method think volume of cylinder=2pi×r×h

Integrate(2pi(2-x)(x-x^2) ,x=0...1)

Multiply

Integrate(2pi(2x-2x^2-x^2+x^3 ,x=0...1)

Combine like terms

Integrate(2pi(2x-3x^2+x^3) ,x=0...1)

Begin to evaluate

2pi(2x^2/2-3x^3/3+x^4/4) ,x=0...1

2pi(x^2-x^3+x^4/4), x=0...1

2pi(1-1+1/4)

2pi/4

pi/2

The expression y + y + 2y is equivalent to ??
because ??

Answers

Answer:

4y

They would have the same value if a number was substituted for y

Step-by-step explanation:

y+y+2y =

Combine like terms

4y

These are all like terms

They would have the same value if a number was substituted for y

Let y = 5

5+5+2(5) = 5+5+10 = 20

4(5) =20


II. Round to the nearest hundred.
11. 582
12. 1,234
13. 640
14. 770
15. 1,104 can you please tell what the answer?

Answers

Answer:

582-600

1,234-1,200

640-600

770-800

1,104-1,100

whats the scale factor of this one please?????

Answers

Answer:

0.5

Step-by-step explanation:

E to E'

(0, 3) to (0, 1.5)  each term of E' is ½ of the corresponding term of E

N to N'

(-1, 1) to (-0.5, 0.5)  each term of N' is ½ of the corresponding term of N

U to U'

(2, -2) to (1, -1)  each term of U' is ½ of the corresponding term of U

V to V'

(1, -3) to (0.5, -1.5)  each term of V' is ½ of the corresponding term of V

Will give brainliest

A tablet at a local electronics store is in high demand and will only be available to customers for a limited time. The store initially has 4 cases of the tablet on hand. The store manager receives new supplies of the tablet each week. At the beginning of week 1, the store manager receives an additional order from the distributor of 5 cases of tablets. At the beginning of week 6, the manager receives another order of 10 cases. Which of the following equations best models the scenario for how many cases of the tablet the store can expect to receive each week?

a. y=4
b. y=x+4
c. y=-6x

Answers

Answer is b hope that helps

The cost of producing pen​s with the company logo printed on them consists of a onetime setup fee of $265.00 plus $0.95 for each pen produced. This cost can be calculated using the formula C=265.00+0.95p, where p represents the number of pens produced and C is the cost. Use the formula to calculate the cost of producing 2900 pens.

Answers

cggyyhghhh

mkjuyuiiik
mkjjjjn
mmjjgh

Describe the following sequence using an algebraic expression as a rule 0; 2,4; 6​

Answers

Answer:

Step-by-step explanation:

I assume the sequence is 0, 2, 4, 6

nth term = 2(n-1)

Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends on various biomechanical properties of the human nasal periosteum and fascia. An article reported that for a sample of 10 (newly deceased) adults, the mean failure strain (%) was 24.0, and the standard deviation was 3.2.

Required:
a. Assuming a normal distribution for failure strain, estimate true average strain in a way that converys information about precision and reliability.
b. Predict the strain for a single adult in a way that conveys information about precision and reliability. How does the prediction compare to the estimate calculated in part (a)?

Answers

Solution :

Given information :

A sample of n = 10 adults

The mean failure was 24 and the standard deviation was 3.2

a). The formula to calculate the 95% confidence interval is given by :

[tex]$\overline x \pm t_{\alpha/2,-1} \times \frac{s}{\sqrt n}$[/tex]

Here, [tex]$t_{\alpha/2,n-1} = t_{0.05/2,10-1}$[/tex]

                       = 2.145

Substitute the values

[tex]$24 \pm 2.145 \times \frac{3.2}{\sqrt {10}}$[/tex]

(26.17, 21.83)

When the [tex]\text{sampling of the same size}[/tex] is repeated from the [tex]\text{population}[/tex] [tex]n[/tex] infinite number of [tex]\text{times}[/tex], and the [tex]\text{confidence intervals}[/tex] are constructed, then [tex]95\%[/tex] of them contains the [tex]\text{true value of the population mean}[/tex], μ in between [tex](26.17, 21.83)[/tex]

b). The formula to calculate 95% prediction interval is given by :

    [tex]$\overline x \pm t_{\alpha/2,-1} \times s \sqrt{1+\frac{1}{n}}$[/tex]

   [tex]$24 \pm 2.145 \times 3.2 \sqrt{1+\frac{1}{10}}$[/tex]

   (31.13, 16.87)

Suppose that we ask n randomly selected people whether they share your birthday. (a) Give an expression in terms of n for the probability that no one shares your birthday (ignore leap years). $$ Correct: Your answer is correct. (b) What is the least number of people we need to select so that the probability is at least 0.8 that at least one person shares your birthday

Answers

Using the binomial distribution, it is found that:

a) The expression is [tex]\left(\frac{364}{365}\right)^{n}[/tex]

b) You need to select at least 587 people.

For each person, there are only two possible outcomes, either they share your birthday, or they do not. The probability of a person sharing your birthday is independent of any other person, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

There are 365 days in a non-leap year, hence, the probability of each person sharing your birthday is [tex]p = \frac{1}{365}[/tex]

Item a:

This probability is P(X = 0), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{n,0}.\left(\frac{1}{365}\right)^{0}.\left(\frac{364}{365}\right)^{n} = \left(\frac{364}{365}\right)^{n}[/tex]

Hence, the expression is [tex]\left(\frac{364}{365}\right)^{n}[/tex]

Item b:

The probability that at least one person shares your birthday is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

We want that:

[tex]P(X \geq 1) \geq 0.8[/tex]

Hence:

[tex]1 - P(X = 0) \geq 0.8[/tex]

[tex]P(X = 0) \leq 0.2[/tex]

Hence:

[tex]\left(\frac{364}{365}\right)^{n} \leq 0.2[/tex]

[tex]n\log{\left(\frac{364}{365}\right)} \leq \log{0.2}[/tex]

[tex]n \geq \frac{\log{0.2}}{\log{\left(\frac{364}{365}\right)}}[/tex]

[tex]n \geq 586.6[/tex]

Rounding up: You need to select at least 587 people.

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The initial population of the town was estimated to be 12,500 in 2005. The population has increased by about 5.4% per year since 2005.

Formulate the equation that gives the population, A(x) , of the town x years since 2005. If necessary, round your answer to the nearest thousandth.

A(x)=__(_)^x

Answers

Answer:

[tex]A(x) = 12500(1.054)^x[/tex]

Step-by-step explanation:

Exponential equation for population growth:

Considering a constant growth rate, the population, in x years after 2005, is given by:

[tex]A(x) = A(0)(1 + r)^x[/tex]

In which A(0) is the population in 2005 and r is the growth rate, as a decimal.

The initial population of the town was estimated to be 12,500 in 2005.

This means that [tex]A(0) = 12500[/tex]

The population has increased by about 5.4% per year since 2005.

This means that [tex]r = 0.054[/tex]

So

[tex]A(x) = A(0)(1 + r)^x[/tex]

[tex]A(x) = 12500(1 + 0.054)^x[/tex]

[tex]A(x) = 12500(1.054)^x[/tex]

f (x) = sqrt(x)+ 2, g(x)=x^2+ 1

find f(g(x))
and g(f(x))​

Answers

Answer:

[tex]f(x) = \sqrt{x} + 2 \\ \\ g(x) = {x}^{2} + 1 \\ \\ f{g(x)} = \sqrt{ {x}^{2} + 1 } + 2 \\ \\ g{f(x)} = {( \sqrt{x} + 2 )}^{2} + 1[/tex]

If a $6 per unit tax is introduced in this market, then the new equilibrium quantity will be

Answers

Answer:

soory i dont know just report me if you angry

I need help for this math question!

Answers

Answer:

D

Step-by-step explanation:

Assuming that the expression is referring to sin²(2πft) and not sin²(2)πft, we can solve as follows:

One trigonometric identity states that sin²x+cos²x = 1. We want to express this in terms of cos²x, so we need to solve for sin²x. Subtracting cos²x from both sides, we get 1-cos²x = sin²x. Plugging (2πft) for x, we get

1-cos²(2πft) = sin²(2πft)

We can plug that into our equation to get

P = I₀²R(1-cos²(2πft)), or D

Use the compound interest formula to find the annual interest​ rate, r, if in 2 years an investment of 4,000 grows to 4410 The rate is %.

Answers

Answer:

5%

Step-by-step explanation:

Bank amount=PA*(1+r/100)^t

4410=4000*(1+x/100)^2

1.05=(1+x/100), x=5%

Drag the tiles to the correct boxes to complete the pairs.
Given that x= 3 + 81 and y= 7 - 1 match the equivalent expressions.
-15 + 19
58 + 106
-&
411
-29 - 531
I. 2y
-
y
–50 ty
23 - 3y

Answers

9514 1404 393

Answer:

58 +106i-29 -53i-8 -41i-15 +19i

Step-by-step explanation:

For the purpose of selecting the appropriate tile, it is only necessary to figure the real part of the sum or product.

We notice that the second product (-xy) is -1/2 times the first product (2xy). This can let you find the answers on that basis alone. The only tiles with a (-1) : (2) relationship are (-29 -53i) : (58 +106i).

__

The sum -5x +y has a real part of -5(3) +7 = -8.

The sum 2x -3y has a real part of 2(3) -3(7) = 6 -21 = -15.

Hence the sequence of answers needed on the right side is as shown above.

_____

Additional comment

You know that arithmetic operations with complex numbers (multiplication and addition) are identical to those operations performed on any polynomials. That is, "i" can be treated as a variable. The simplification comes at the end, where any instances of i² can be replaced by -1.

  xy = (3 +8i)(7 -i) = 3·7 -3·i +8·7·i -8·i·i = 21 +53i -8i²

  = (21 +8) +53i . . . . replaced i² with -1, so -8i² = +8

  = 29 +53i

The function f is defined by f(x) = 4x + 1. What is the value of f(3)?
O 13
O 17
O 65
O 82

Answers

Answer:

13

Step-by-step explanation:

f(x) = 4x + 1

Let x= 3

f(3) = 4*3+1

    = 12+1

   = 13

A person invests 3500 dollars in a bank. The bank pays 4.75% interest compounded
quarterly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 5800 dollars?

Answers

9514 1404 393

Answer:

  10.7 years

Step-by-step explanation:

The formula for the balance in an account earning compound interest is ...

  A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years. We want to solve for t.

  5800 = 3500(1 +0.0475/4)^(4t)

  58/35 = 1.011875^(4t) . . .  divide by 3500 and simplify a bit

  log(58/35) = 4t·log(1.011875) . . . . take logs

  t = log(58/35)/(4·log(1.011875)) . . . . divide by the coefficient of t

  t ≈ 10.6966 ≈ 10.7

The person must leave the money n the bank for about 10.7 years for it to reach $5800.

Susan randomly selected a sample of plants to determine the average height of the total 35 plants in her garden. She measured the heights (in inches) of 12 randomly selected plants and recorded the data:

1.0, 1.4, 1.8, 2.0, 2.5, 3.5, 4.2, 4.5, 4.8, 5.0, 5.3, 6.0
What is the sample mean of the heights of the plants in Susan's garden?

Answers

Answer:

3.5 inches

Step-by-step explanation:

Sample mean basically means that we need to find the average of the samples.

So the formula for finding average is

Number of observations/ Number of Occurrences

So when we add the values together we get

42.

So there are 12 numbers

So, 42/12 =

3.5 inches

The sample mean of the heights of the plants in Susan's garden is

3.5 inches.

Here,

Susan randomly selected a sample of plants to determine the average height of the total 35 plants in her garden.

She measured the heights (in inches) of 12 randomly selected plants and recorded the data:

1.0, 1.4, 1.8, 2.0, 2.5, 3.5, 4.2, 4.5, 4.8, 5.0, 5.3, 6.0

We have to find the sample mean of the heights of the plants in Susan's garden.

What is Average?

Average value in a set of given numbers is the middle value, calculate as dividing the total of all values by the number of values.

Now,

The recorded data is;

1.0, 1.4, 1.8, 2.0, 2.5, 3.5, 4.2, 4.5, 4.8, 5.0, 5.3, 6.0

To find the sample mean of the heights of the plants in Susan's garden we have to find the average of the recorded data.

Formula for average = [tex]\frac{sum of number of observation}{ number of occurrence}[/tex]

Hence, Average = [tex]\frac{1.0+ 1.4+1.8+2.0+ 2.5+3.5+4.2+4.5+ 4.8+ 5.0+ 5.3+ 6.0}{12} = \frac{42}{12} = 3.5[/tex]

Therefore, The sample mean of the heights of the plants in Susan's garden is 3.5 inches.

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The rationalisation factor of 2 + √3 is

step by step for BRAINLIST ​

Answers

Answer:

rationalising factor wud be

2 - root3

as on multiying both and applying identity we end up

2^2 - (root3)^2

4 - 3 = 1

we got a rational number so rationalisng factor is

2 - root3

If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability of getting 2 queens and 2 kings.

The probability is ___.
​(Round to six decimal places as​ needed.)

Answers

Answer:

1.083

Step-by-step explanation:

Exact form: 13/12

Decimal form: 1.083 (put a line above the 3)

Mixed number form: 1 1/12

the value of M such that 3 3 M + 3 = 9 M + 4​

Answers

Step-by-step explanation:

If you like my answer than please mark me brainliest

[tex]\\ \sf\longmapsto 33M+3=9M+4[/tex]

Interchange sides

[tex]\\ \sf\longmapsto 33M-9M=4-3[/tex]

[tex]\\ \sf\longmapsto (33-9)M=1[/tex]

[tex]\\ \sf\longmapsto 24M=1[/tex]

[tex]\\ \sf\longmapsto M=\dfrac{1}{24}[/tex]

Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day. At the same rates two Nissans, four Fords, and three Chevrolets cost $107 per day, whereas four Nissans, three Fords, and two Chevrolets cost $102 per day. Find the rental rate for the Fords.

Answers

Answer:

The rental rate for the Fords is of $12 per day.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a Nissan.

y is the cost of a Ford.

z is the cost of a Chevrolet.

Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day.

This means that:

[tex]3x + 2y + 4z = 106[/tex]

Two Nissans, four Fords, and three Chevrolets cost $107 per day

This means that:

[tex]2x + 4y + 3z = 107[/tex]

Four Nissans, three Fords, and two Chevrolets cost $102 per day.

This means that:

[tex]4x + 3y + 2z = 102[/tex]

From the first equation:

[tex]4z = 106 - 3x - 2y[/tex]

[tex]2z = 53 - 1.5x - y[/tex]

[tex]z = 26.5 - 0.75x - 0.5y[/tex]

Replacing into the third equation:

[tex]4x + 3y + 53 - 1.5x - y = 102[/tex]

[tex]2.5x + 2y = 49[/tex]

From the second equation:

[tex]2x + 4y + 3z = 107[/tex]

[tex]2x = 107 - 4y - 3z[/tex]

[tex]x = 53.5 - 2y - 1.5z[/tex]

[tex]x = 53.5 - 2y - 1.5(26.5 - 0.75x - 0.5y)[/tex]

[tex]x - 1.125x = 53.5 - 2y - 39.75 + 0.75y[/tex]

[tex]-0.125x = 13.75 - 1.25y[/tex]

[tex]0.125x = 1.25y - 13.75[/tex]

[tex]x = \frac{1.25y - 13.75}{0.125}[/tex]

[tex]x = 10y - 110[/tex]

Find the rental rate for the Fords.

We have to find y, so:

[tex]2.5x + 2y = 49[/tex]

[tex]2.5(10y - 110) + 2y = 49[/tex]

[tex]25y - 275 + 2y = 49[/tex]

[tex]27y = 324[/tex]

[tex]y = \frac{324}{27}[/tex]

[tex]y = 12[/tex]

The rental rate for the Fords is of $12 per day.

Find the volume of the figure. Round your answers to the nearest tenth. It is recommended you use the π button on your calculator to solve.

Answers

Answer:

628 mi^3

Step-by-step explanation:

the volume of a cylinder is given by:

V = base area x height

thus,

V = (3.14)(5)^2(8)

V = (3.14)(25)(8)

V = 628 mi^3

the volume of the cylinder is 628 cubic miles

The volume of the cylinder is 628 cubic miles.

We have a cylinder of radius 5 mi and height 8 mi.

We have to find the volume of the figure and round it to nearest tenth.

What is the volume of cylinder?

The volume of cylinder is given by the formula -

Volume [tex]=\pi r^{2} h[/tex]

We can use the above formula to calculate the volume of cylinder. In our case -

r = 5 mi

h = 8 mi

Substituting the values in the formula -

Volume [tex]=\pi\times5^{2}\times 8\\\\[/tex] = 628 cubic miles.

Hence, the volume of the cylinder is 628 cubic miles.

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A sample of 13 sheets of cardstock is randomly selected and the following thicknesses are measured in millimeters. Give a point estimate for the population standard deviation. Round your answer to three decimal places. 1.96,1.81,1.97,1.83,1.87,1.84,1.85,1.94,1.96,1.81,1.86,1.95,1.89

Answers

Answer:  0.061

===============================================

Explanation:

Add up the values to get

1.96+1.81+1.97+1.83+1.87+1.84+1.85+1.94+1.96+1.81+1.86+1.95+1.89= 24.54

Then divide over 13 (the number of values) to get 24.54/13 = 1.8876923 which is approximate.

So the mean is approximately 1.8876923

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

Now make a spreadsheet as shown below

We have the first column as the x values, which are the original numbers your teacher provided. The second column is of the form (x-M)^2, where M is the mean we computed earlier. We subtract off the mean and square the result.

After we compute that column of (x-M)^2 values, we add them up to get what is shown in the highlighted yellow cell at the bottom of the column.

That sum is approximately 0.04403076924

Next, we divide that over n-1 = 13-1 = 12

0.04403076924 /12 = 0.00366923077

That is the sample variance. Apply the square root to this to get the sample standard deviation. This is the point estimate of the population standard deviation. As the name implies, it works for samples that estimate population parameters.

sqrt(0.00366923077) = 0.06057417576822

This rounds to 0.061 which is the final answer.

A meat packaging plant uses a machine that packages chicken livers in six pound portions. A sample of 91 packages of chicken livers has a standard deviation of 0.47. Construct the 98% confidence interval to estimate the standard deviation of the weights of the packages prepared by the machine. Round your answers to two decimal places.
Lower endpoint______ Upper endpoint__

Answers

Answer:

it simple as look

Step-by-step explanation:

He y I a m r a v I t ha n k S

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