PLEASEEE HELPPPP ASAPPPPP

Answer:

\(3\frac{1}{3}\) servings

Step-by-step explanation:

\(\frac{5}{6}\) ÷ \(\frac{1}{4}\) = \(\frac{5}{6}\) × 4 = \(\frac{10}{3}\) = \(3\frac{1}{3}\) servings

Answer:

the rate is 2

Step-by-step explanation:

Each of the output is increasing by 2.  (-3)- (-5) = 2 , 3-1 =2... just pick 2 consecutive numbers and subtract them from each other.

Answer:

b

Step-by-step explanation:

The integers 6,21 from the set will make the inequality 3(j-5)>3(7-2j) true.

Inequality is the unequal distribution of resources, opportunities, or rewards among individuals or groups in society. It can occur in many forms, such as unequal access to healthcare, education, employment, or other resources, or unequal treatment based on race, gender, ethnicity, and other factors. Inequality can also manifest as unequal income and wealth distribution, as well as unequal access to political power and decision-making. Inequality can be caused by a variety of factors, including structural factors and personal or individual-level factors, such as discrimination. Inequality can have a negative effect on both individuals and societies, leading to social and economic inequities that can be difficult to overcome.

The given inequality is 3(j-5)>3(7-2j). The given set is S:{−4, 4, 6, 21}.

First, we will simplify the given inequality.

3(j-5)>3(7-2j)

⇒j-5>7-2j

⇒3j>12

⇒j>4

It means that numbers greater than 4 will satisfy the given inequality.

Numbers greater than 4 in the given set are 6,21.

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Given Data: Temperature (°F) at 8 AM 97.9, 99.4, 97.4, 97.4, 97.3 Temperature (°F) at 12 AM 98.5 99.7, 97.6, 97.1, 97.5 We need to find the values of d and Sd where d is the difference between the two sample means and Sd is the standard deviation of the differences.

The correct answer option is B.

d = μ1 - μ2 Here,μ1 is the mean of the temperature at 8 AM.μ2 is the mean of the temperature at 12 AM.

So, μ1 = (97.9 + 99.4 + 97.4 + 97.4 + 97.3)/5

= 97.88 And,

μ2 = (98.5 + 99.7 + 97.6 + 97.1 + 97.5)/5

= 98.28 Now,

d = μ1 - μ2

= 97.88 - 98.28

= -0.4 To find Sd, we need to use the formula

Sd = √[(Σd²)/n - (Σd)²/n²]/(n - 1) where n is the number of pairs. So, the differences are

0.6, -0.3, -0.2, 0.3, -0.2d² = 0.36, 0.09, 0.04, 0.09, 0.04Σd

= 0Σd² = 0.62 + 0.09 + 0.04 + 0.09 + 0.04

= 0.62Sd

= √[(Σd²)/n - (Σd)²/n²]/(n - 1)

= √[0.62/5 - 0/25]/4

= 0.13 Therefore, the value of d is -0.4 and Sd is 0.13. The mean value of the differences for the paired sample data represents what Hd represents in general.

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Answer:

Z_1 = 3
Z_2 = 2.5
Z_3 = 2.25

Step-by-step explanation:

To find the next three terms in the sequence defined by Z_0 = 4 and Z_n = (1/2) Z_(n-1) + 1, we can use the recursive formula to calculate each term.

First, we can calculate Z_1 by substituting n = 1 into the recursive formula:

Z_1 = (1/2) Z_0 + 1 = (1/2) (4) + 1 = 3

This means that the second term in the sequence is 3.

Next, we can calculate Z_2 by substituting n = 2 into the recursive formula:

Z_2 = (1/2) Z_1 + 1 = (1/2) (3) + 1 = 1.5 + 1 = 2.5

This means that the third term in the sequence is 2.5.

Finally, we can calculate Z_3 by substituting n = 3 into the recursive formula:

Z_3 = (1/2) Z_2 + 1 = (1/2) (2.5) + 1 = 1.25 + 1 = 2.25

This means that the fourth term in the sequence is 2.25.

Therefore, the next three terms in the sequence are 3, 2.5, and 2.25.

Each term in the sequence is calculated by taking half of the previous term and adding 1. The sequence starts at 4, so the second term is calculated by taking half of 4, which is 2, and adding 1, which gives 3. The third term is calculated by taking half of 3, which is 1.5, and adding 1, which gives 2.5. The fourth term is calculated by taking half of 2.5, which is 1.25, and adding 1, which gives 2.25. This pattern continues for each subsequent term in the sequence.

Therefore , the solution of the given problem of angle comes out to be ∠1 ≅ ∠4, and ∠3 ≅ ∠5 are different interior angles they are congruent.

The circular lines that make up a skew's extremities are divided using Cartesian coordinates by the walls at the top and bottom. A junction point may result from the convergence of two beams. Angle is another outcome of two things colliding. They mirror dihedral shapes the most. A two-dimensional curve can be created by arranging two line beams in various ways at their extremities.

Here,

The right response is:

=> C. The following are true: ∠1 ≅ ∠4, and ∠3 ≅ ∠5.

Alternate Interior Angles Theorem is the cause.

This is due to the Alternate Interior Angles Theorem, which asserts that the alternate interior angles are congruent if a transversal intersects two parallel lines.

As can be seen, in this instance, ∠1 ≅ ∠4, and ∠3 ≅ ∠5 are different interior angles, and as such, they are congruent.

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The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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Answer:

12 sq. units

Step-by-step explanation:

The formula for finding the area of a triangle is a = 1/2bh, or 1/2 times base times height.

To do this, multiply the base (6) and height lengths (4). This gets you 24.

But we're not done. You must then multiply by 1/2, which is the same a dividing by 2/1 or 2. 24/2 = 12. Slap on the unit of measurement and you've got your answer.

Answer:The radius is √16.

Step-by-step explanation:

Answer:

it would be 55 muffins.

Step-by-step explanation:

hope this helps!

Answer:

5a + 6b + 7

step-by-step explanation:

16 + 8a -3a + 6a -9: subtract 9 from 16

7 + 8a -3a + 6b Now subtract -3a from 8a

5a + 6b + 7 is the final answer.

Answer:

Area = pi r^2

Step-by-step explanation:

Answer:

Area=pi x r^2

Step-by-step explanation:

to calculate calculate mean and standard deviation after transforming a random variable combining random variables, use the formulae for both the expected and standard deviation of such a linear combination with random variables.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

Because it makes measures easier to comprehend when the data is spread, standard deviation is significant. The data's standard deviation will increase as the data's distribution becomes more widely scattered. The deviation of each observed value from the mean is measured using this metric. The majority of data in any distribution will fall within a 2 standard deviation range of the mean.

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Check the picture below.

so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.

\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)

Answer:

I think something is missing in your question.

sorry

Answer:

there is something wrong in that question

Step-by-step explanation:

The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.

The given fraction is 13/625.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Here, the decimal expansion is 13/625 = 0.0208

So, the number of places of decimal are 4.

Therefore, the correct answer is option D.

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Answer: B / 2,6,10,14,18

Step-by-step explanation:

you were given the equation next input 1 for n.

Solve and a = 2

Then you input 2 for n. Solve and you get a =6.

Do  this up until you get to 5.

a)

Values of the given angles  ∠A = 123°  , ∠B = 123° ,∠C = 57.

Given ,

One angle of the figure as 123°.

Now,

∠C and 123° form linear pair.

So,

∠C + 123° = 180°

∠C = 57°

Now,

∠C and ∠B are pairs of interior angles on same side of transversal, thus they are supplementary.

∠C + ∠B = 180°

Substitute the value of ∠C

53° + ∠B = 180°

∠B = 127°

Now,

∠B and ∠A are vertically opposite angles.

Thus,

∠B = ∠A

So,

∠A = 127° .

Hence,

∠A= 127°

∠B = 127°

∠C = 57°

b)

Values of ∠D = 98°, ∠E = 98°, ∠F = 98° .

Given one angle as 82°

Now,

∠F and 82° form linear pair.

So,

∠F + 82° = 180°

∠F = 98°

Now,

∠D and ∠F are corresponding angles. Thus,

∠D = ∠F

∠D = 98° .

Now,

∠D and ∠E are vertically opposite angles.

Thus,

∠D = ∠E

∠E = 98°.

Hence,

∠D = 98°

∠E = 98°

∠F = 98°

c)

Values of ∠G = 75° and ∠H = 75°

Given one angle as 75° .

∠H and 75° are corresponding angles. Thus,

∠H = 75°

Now,

∠H and ∠G are vertically opposite angles.

So,

∠G = 75° .

Hence,

∠G = 75°

∠H = 75°

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The maximum possible value that the greatest common divisor (GCD) of two positive integers a and b can take is 1.

The GCD of two numbers is the largest positive integer that divides both numbers without leaving a remainder.

If the GCD of a and b is 1, it means that there are no common factors other than 1 between the two numbers. This implies that a and b are relatively prime or coprime. In other words, they do not share any prime factors.

To explain further, let's consider an example. Suppose we have two positive integers a = 15 and b = 28. The prime factorization of 15 is 3 * 5, and the prime factorization of 28 is 2^2 * 7. The common factors between 15 and 28 are 1 and 7. Since 7 is the largest common factor, the GCD of 15 and 28 is 7.

Now, if we choose a and b such that they are relatively prime, for example, a = 16 and b = 9, the prime factorization of 16 is 2^4, and the prime factorization of 9 is 3^2. In this case, the only common factor is 1, and hence the GCD of 16 and 9 is 1. This shows that the maximum possible value for the GCD of a and b is 1 when a and b are relatively prime.

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The length of the bow of the circle is 9π/ 2 = 4.5 *3.14 = 14.13.  

The  bow time of a circle can be determined with the compass

and significant point of view exercising the bow time frame strategy.

 ⇒ angle =   arc/ radius  

⇒ 135 ° =   bow/ 6

 ⇒  arc =  135 ° * 6  

⇒  bow =  135 ° * π/ 180 ° * 6  

⇒  bow =  9π/ 2  

⇒ 9π/ 2 = 4.5 *3.14   ⇒14.13

  In calculation, a bow is characterized as a piece of the limit of a circle or a bend. It can likewise be indicated as an open bend. The limit of a circle is the border or the distance around a circle,  else called the circuit.

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What is Probability?

Probability is simply the probability that something will happen. Whenever we are uncertain about the outcome of an event, we can talk about the probability of certain outcomes—how likely they are. The analysis of events governed by probabilities is called statistics.

a. To obtain the probability distribution of X (sample mean) for a random sample of size n = 2, we can calculate the sample means by taking all possible combinations of the values of X.

The values of X are given as: x = {1, 2, 3, 4} with corresponding probabilities p(x) = {0.3, 0.4, 0.2, 0.1}.

Let's calculate the sample means (X) and their corresponding probabilities:

X = (1 + 1) / 2 = 1, probability = p(1) * p(1) = 0.3 * 0.3 = 0.09

X = (1 + 2) / 2 = 1.5, probability = p(1) * p(2) + p(2) * p(1) = 0.3 * 0.4 + 0.4 * 0.3 = 0.24

X = (1 + 3) / 2 = 2, probability = p(1) * p(3) + p(3) * p(1) = 0.3 * 0.2 + 0.2 * 0.3 = 0.12

X = (1 + 4) / 2 = 2.5, probability = p(1) * p(4) + p(4) * p(1) = 0.3 * 0.1 + 0.1 * 0.3 = 0.06

X = (2 + 2) / 2 = 2, probability = p(2) * p(2) = 0.4 * 0.4 = 0.16

X = (2 + 3) / 2 = 2.5, probability = p(2) * p(3) + p(3) * p(2) = 0.4 * 0.2 + 0.2 * 0.4 = 0.16

X = (2 + 4) / 2 = 3, probability = p(2) * p(4) + p(4) * p(2) = 0.4 * 0.1 + 0.1 * 0.4 = 0.08

X = (3 + 3) / 2 = 3, probability = p(3) * p(3) = 0.2 * 0.2 = 0.04

X = (3 + 4) / 2 = 3.5, probability = p(3) * p(4) + p(4) * p(3) = 0.2 * 0.1 + 0.1 * 0.2 = 0.04

X = (4 + 4) / 2 = 4, probability = p(4) * p(4) = 0.1 * 0.1 = 0.01

Therefore, the probability distribution of X is:

X | Probability

1.0 | 0.09

1.5 | 0.24

2.0 | 0.12

2.5 | 0.06

3.0 | 0.16

3.5 | 0.16

4.0 | 0.08

3.0 | 0.04

3.5 | 0.04

4.0 | 0.01

To calculate the probability that X ≤ 2.5, we sum the probabilities for the sample means that are less than or equal to 2.5:

Probability(X ≤ 2.5) = 0.09 + 0.24 + 0.12 + 0.06 = 0.51 or 51%.

b. Given:

X1, X2, X3 ~ N(21, 4)

X4, X5 ~ N(21, 3)

We define Y as:

Y = (X1 + X2 + X3) / 3 - X4 + X5 / 2

To compute P(-1 ≤ Y ≤ 1), we need to find the mean and standard deviation of Y and then use the properties of the normal distribution.

Mean of Y:

μY = (μX1 + μX2 + μX3) / 3 - μX4 + μX5 / 2 = (21 + 21 + 21) / 3 - 21 + 21 / 2 = 21 - 21 + 10.5 = 10.5

Variance of Y:

Var(Y) = (Var(X1) + Var(X2) + Var(X3)) / 9 + Var(X4) / 4 + Var(X5) / 4

= (4 + 4 + 4) / 9 + 3 / 4 + 3 / 4

= 4 / 3 + 3 / 4 + 3 / 4

= 16 / 12 + 9 / 12 + 9 / 12

= 34 / 12

= 17 / 6

Standard deviation of Y:

σY = √Var(Y) = √(17 / 6) ≈ 1.828

To find P(-1 ≤ Y ≤ 1), we can standardize the interval using the mean and standard deviation:

P(-1 ≤ Y ≤ 1) = P[(Y - μY) / σY ≤ (1 - μY) / σY] - P[(Y - μY) / σY ≤ (-1 - μY) / σY]

= P(Z ≤ (1 - μY) / σY) - P(Z ≤ (-1 - μY) / σY)

Using standard normal distribution tables or a calculator, we can find the corresponding probabilities for Z and compute P(-1 ≤ Y ≤ 1).

c. The sample mean X is defined as X = (X1 + X2 + ... + Xn) / n, where X1, X2, ..., Xn are random variables.

Let's define T0 as T0 = X1 + X2 + ... + Xn.

To find the relation between the probability density function (pdf) of X and the pdf of T0, we can use the property of linear combinations of random variables.

Since T0 is a linear combination of X1, X2, ..., Xn, the pdf of T0 will be the convolution of the pdfs of X1, X2, ..., Xn.

Therefore, the pdf of T0 is the convolution of the pdf of X with itself n times.

To prove this relation, one would need to perform the convolution operation on the pdfs of X repeatedly.

d. Let X and Y be two independent random variables with probability density functions fX(x) and fY(y), respectively.

To find the probability density function of Z = X - Y, we can use the technique of convolution.

The probability density function of Z, denoted fZ(z), can be obtained by convolving the probability density functions of X and -Y.

fZ(z) = ∫ fX(x) * fY(z - x) dx

In other words, the pdf of Z is the convolution of the pdf of X with the reflected and shifted pdf of Y.

Please note that the convolution operation might involve integrals and depends on the specific forms of fX(x) and fY(y) in order to obtain a closed-form expression for fZ(z).

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Answer:

its cheaper in new York by $1.60

Step-by-step explanation:

132 x 1.30 = 171.60

if the jacket is $170 in new York it is cheaper

Answer:

100 m.

Step-by-step explanation:

Hence each triangle will have:

(diagonal)^2 = (length)^2 +(breadth)^2

(diagonal)^2 = 80*80 +60*60

(diagonal)^2 = 6400+3600

(diagonal)^2 = 10000  

diagonal= 100 m

The length of the diagonal of the rectangular park is 100 meters.

To find the length of the diagonal of a rectangular park with a length of 80m and a breadth of 60m, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the diagonal) is equal to the sum of the squares of the other two sides.

Let's consider the length (L) as one side and the breadth (B) as the other side of the rectangle. The diagonal (D) will be the hypotenuse.

Applying the Pythagorean theorem:

\(D^2 = L^2 + B^2\)

Substituting the given values:

\(D^2 = 80^2 + 60^2\\\\D^2 = 6400 + 3600\\\\D^2 = 10000\)

Taking the square root of both sides to find D:

\(D = \sqrt{10000}\\\\ D = 100\)

Therefore, the length of the diagonal of the rectangular park is 100 meters.

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These sample results do not provide strong evidence against the belief that among all births, the proportion of boys is 0.509.

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

To construct a 95% confidence interval estimate of the proportion of boys in all births, we can use the following formula:

Confidence interval = sample proportion +/- margin of error

where the margin of error is:

Margin of error = z * standard error

The z-value corresponding to a 95% confidence interval is 1.96.

The sample proportion of boys is 427/861 = 0.496.

The standard error is:

Standard error = sqrt((sample proportion * (1 - sample proportion)) / sample size)

Standard error = sqrt((0.496 * 0.504) / 861) = 0.023

Therefore, the margin of error is:

Margin of error = 1.96 * 0.023 = 0.045

So the 95% confidence interval estimate of the proportion of boys in all births is:

0.496 +/- 0.045

This gives us a range of (0.451, 0.541).

The value 0.509 does fall within the confidence interval (0.451, 0.541), which means that we cannot reject the hypothesis that the proportion of boys in all births is 0.509 at the 5% significance level.

Therefore, these sample results do not provide strong evidence against the belief that among all births, the proportion of boys is 0.509.

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The predicted population of Tanzania 5.5 years ago is approximately 46.1 million. This estimation is based on the current population, the population growth rate, and the formula for exponential population growth.

To predict the population of Tanzania 5.5 years ago, we need to use the population growth rate and the current population.

The formula for exponential population growth is:

P = P0 * e^(rt)

Where:

P = population after time t

P0 = initial population

r = growth rate (expressed as a decimal)

t = time in years

e = Euler's number (approximately 2.71828)

Given information:

Current population (P0) = 50.3 million

Growth rate (r) = 2.14% per year

Time (t) = -5.5 years (5.5 years ago)

Converting the growth rate to decimal form:

r = 2.14% = 0.0214

Substituting the values into the formula:

P = 50.3 million * e^(0.0214 * -5.5)

Calculating the exponential growth:

P = 50.3 million * e^(-0.1177)

P ≈ 46.1 million

Rounding the answer to one decimal place and expressing it in millions, the predicted population of Tanzania 5.5 years ago is approximately 46.1 million.

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The ordered pair (x,y) obtained from the linear equations is: (-2,-12)

What is Linear Equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Definition of a Linear Equation: Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason. A linear equation is expressed using the linear equation formula. There are several ways to accomplish this. A linear equation, for instance, can be written in standard form, slope-intercept form, or point-slope form. To discover how a linear equation is stated in its standard form, let's take an example.

The equation is given:

8x-3y=20

5x-y=2

Using the substitution method for solving the linear equations:

From the equation:

5x-y=2;

we can transform this equation as:

⇒-y = 2-5x;

⇒y = 5x-2;

Now substituting the value of y in the other equation: we get;

⇒8x-3(5x-2)=20

⇒8x -15x+6 = 20;

⇒-7x=14;

x = -2;

Now putting the value of x in the equation to get the value of y;

So,

y = 5(-2) -2;

y = -12;

Hence the value of x and y are -2 and -12 respectively;

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Answer:

n = 20

Step-by-step explanation:

26n = 520

To isolate n, multiply both sides by 1/26

n = 20

The given algebraic expression '4-1/5(6x-3)= 7/3 +3x' is a linear equation in one variable. By solving the linear equation, the value of x is found to be 34/63.

When an algebraic expression has an equality sign, it is known to be an equation. An equation with a single variable is known as an equation in one variable.

The highest power of the variable is the degree of the equation, here the degree is 1, thus it's a linear equation in one variable.

The linear equation contains 2 parts; the left-hand side [LHS] and the right-hand side[RHS]. The linear equation is solved by bringing all the variables to one side and numerals to the other side.

Given,

4-1/5(6x-3)= 7/3 +3x

4-6x/5+3/5=7/3+3x

4+3/5-7/3=6x/5+3x

Taking LCM and solving,

(60+9-35)/15 = (15x+6x)/5

34/15=21x/5

34=3*21x

∴x=34/63

Thus the value of x is found to be 34/63.

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