9/12 - 1/3 ? help i will mark brainly

The maximum number of adult-sized T-shirts she can purchase is 55 T-shirts.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Adult sized T shirts cost $6.25 each

and, youth sized T shirts cost $4.50 each.

Let x represent the number of adult-sized T-shirts.

Antionette has $550 to purchase both adult sized and youth sized T shirts.

So, the inequality can be

6.25x + 4.5(45) ≤ 550

6.25x + 202.5 ≤ 550

6.25x ≤ 347.5

x ≤ 55.6

Hence, the maximum number of adult-sized T-shirts she can purchase is 55 T-shirts.

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Answer:

6.45

Step-by-step explanation:

I am not staring at zero.  I am starting at 6.4, so I take 6.4 and add that to half way between 6.5 and 6.4.

6.4 + 1/2(6.5-6.4)  Combine in the parentheses

6.4 + 1/2(.5)  Take half of .5

6.4 + .05  add

6.45

The bottom of the ladder is 9 feet from the wall.

Using the Pythagorean Theorem, we can calculate the distance from the wall. The Pythagorean Theorem states that for a right triangle, the sum of the squares of the sides is equal to the square of the hypotenuse. In this case, the hypotenuse is 15 feet and the side adjacent to the wall is 12 feet.

The formula for the Pythagorean Theorem is a^2 + b^2 = c^2.

We can solve for the distance from the wall (a). a^2 = c^2 - b^2, so a^2 = 15^2 - 12^2, which equals a^2 = 225 - 144, so a^2 = 81. Taking the square root of both sides, a = 9 feet.

Therefore, the bottom of the ladder is 9 feet from the wall.

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Answer:

yes

Step-by-step explanation:

yes because the large bottle has 42ml more than the small bottle

The probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

We can use the central limit theorem to approximate the distribution of the sample mean. According to the central limit theorem, if the sample size is sufficiently large, the distribution of the sample mean will be approximately normal with a mean of 30,641 and a standard deviation of sqrt(variance/sample size).

So, we have:

mean = 30,641

variance = 14,561,860

sample size = 242

standard deviation = sqrt(variance/sample size) = sqrt(14,561,860/242) = 635.14

Now, we need to calculate the z-score corresponding to a sample mean of 31,358 miles:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

= (31,358 - 30,641) / (635.14 / sqrt(242))

= 2.43

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than 2.43. The probability is approximately 0.9925.

Therefore, the probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

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The greatest common factor−5k2 20k − 30 is  \(-5(k^{2} -4k-6).\)

To find the greatest common factor:

−5k2 20k − 30.

Factor the expression:   \(5(-k^{2} +4k-6)\)

Factor the expression:   \(5(-k^{2} -4k+6)\)

Multiply the monomials: \(5(k^{2} +4k+6)\)

The greatest common factor: \(-5(k^{2} -4k-6).\)

The greatest common factor−5k2 20k − 30 is \(-5(k^{2} -4k-6).\)

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The complete question is:

Factor the greatest common factor: \(-5k^2+ 20k - 30.\)

a) \(-1(5k^2- 20k+ 30)\)

b) \(-5(k^2 -4k+ 6)\)

c)\(-5k(k^2 - 4k +6)\)

d) \(-5(k^2 +4k - 6)\)

The greatest common factor of −5k² + 20k − 30 exists -5( k² - 4k + 6 ).

Therefore, the correct answer is option a) -5 ( k² - 4k + 6 ).

The greatest common factor (GCF) of a set of numbers exists the biggest factor that all the numbers share.

Given :  −5k² + 20k − 30.

Taking common -5 from each term, we get

−5k² + 20k − 30  = -5 ( k² - 4k + 6 ).

The greatest common factor of −5k² + 20k − 30 exists -5( k² - 4k + 6 ).

Therefore, the correct answer is option a) -5 ( k² - 4k + 6 ).

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Answer:

Let Ji and Bi represent the initial amounts that Joe and Bill have at the start.  Number after J and B will be used to indicate subsequent steps in the problem.

We are told that "Joe has five times as much money as Bill," which we can write as:

   1)  Ji = 5Bi

We learn that "Joe pays Bill $5," which we can represent as:

   2)  J1 = Ji - 5

This would mean that Bill has added $5:

   3)  B1 = Bi + 5

We are then told that "Joe has just twice the amount Bill now has," which we can write as:

   4)  J1 = 2B1

===

We can rearrnage and substitute the above relationships to eliminate one of the two variables (B1 or J1)

J1 = Ji - 5                [from 2]

2B1 = Ji - 5              [Substitute 4 to eliminate J1]

Ji = 5Bi                    [from 1]

2B1 = 5Bi - 5           [Substitute 1 to eliminate Ji]

B1 = Bi + 5               [Rearrange]

2(Bi + 5) = 5Bi - 5    [Use the above expression in the previous equation to eliminate B1]

2Bi + 10 = 5Bi - 5    [Simplify]

-3Bi = -15                  [Simplify]

Bi = $5                       [Solve]

Ji = 5Bi                    [from 1]

Ji = 5*(5)                  [Since Bi = $5]

Ji = $25                    [Solve]  

===

CHECK:

Does Joe has five times as much money as Bill?

Ji = $25 and Bi = $5  YES

When Joe pays Bill $5 he owes him, does Joe has just twice the amount Bill now has?

J1 = $25 - $5 = $20

B1 = $5 + $5  = $10    YES

We witnessed that the economy has moved from its initial short-run equilibrium to a new long-run equilibrium, where the price level has stabilized despite the changes in aggregate demand and short-run supply.

Suppose the price level remains constant despite the initial shift of the AD (Aggregate Demand) curve to the right, followed by the leftward shift of the SRAS (Short-Run Aggregate Supply) curve. In that case, it suggests that the economy has experienced a change toward long-run equilibrium.

The initial shift of the AD curve to the right causes an increase in both output and the price level. However, the subsequent leftward shift of the SRAS curve indicates that in the short run, the price level has led to higher costs for businesses, potentially due to factors such as increased wages or input prices.

As a result, with a leftward shift in the SRAS curve, the output level decreases, and the price level rises further. However, if the price level remains constant after this adjustment, it suggests that the economy has reached a new equilibrium point where aggregate demand and short-run aggregate supply are once again balanced.

In short, witnessing a constant price level after the initial shifts in the AD and SRAS curves implies that the economy has moved from its initial short-run equilibrium to a new long-run equilibrium, where the price level has stabilized despite the changes in aggregate demand and short-run supply.

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Answer:

Let their ages be x and (x + 20) years.

5 (x - 5) = (x + 20 - 5) or 4x = 40 or x = 10.

Their present ages are 30 years and 10 years.

True. If v is an eigenvector corresponding to the eigenvalue λ, then multiplying v by a scalar c, denoted as cv, will also be an eigenvector corresponding to the same eigenvalue λ.

An eigenvector represents a direction in a vector space that remains unchanged, except for scaling, when multiplied by a specific matrix. The corresponding eigenvalue determines the magnitude of the scaling. When we multiply an eigenvector v by a scalar c, the direction of the vector remains the same, and the resulting vector cv is scaled by the same factor c.

Mathematically, if Av = λv, where A is a matrix, λ is an eigenvalue, and v is the corresponding eigenvector, then it follows that A(cv) = cAv = cλv = λ(cv). This equation shows that multiplying an eigenvector v by a scalar c preserves its status as an eigenvector, corresponding to the same eigenvalue λ.

In summary, if v is an eigenvector corresponding to λ, then multiplying it by a scalar c still results in an eigenvector corresponding to the same eigenvalue λ.

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Answer:

Your answer should be Linear.

Hope this helps! :)

The function y=1.5x+2 is linear because it follows the slope-intercept form:

y=mx+b

Hope it helps!

The answer is that there are 8 green pins and 12 yellow pins remaining in the bag after Yaqub gives a green pin to his sister.

Probability is a branch of mathematics that deals with the study of random events or phenomena. It is used to measure the likelihood or chance of an event occurring. Probability is represented as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, if a fair coin is flipped, the probability of getting heads is 1/2, since there is one favorable outcome (heads) out of two possible outcomes (heads or tails).

There are two main types of probability: theoretical probability and empirical probability.

Theoretical probability is based on mathematical calculations and assumes that all outcomes are equally likely. For example, the theoretical probability of rolling a six on a fair die is 1/6, since there is one favorable outcome out of six possible outcomes.

Empirical probability is based on observations and experiments and reflects the actual frequency of an event occurring. For example, the empirical probability of rolling a six on a particular die after many rolls may be different from the theoretical probability due to factors such as bias or chance.

Probability is used in many real-life situations, such as in games of chance, insurance, stock market analysis, and weather forecasting. It is also used in various fields of science, such as physics, biology, and chemistry, to model and analyze the behavior of complex systems.

Let's start by using algebra to represent the information given in the problem.

Let G be the number of green pins in the bag, and Y be the number of yellow pins in the bag. We know that:

G + Y is the total number of pins in the bag.

G/(G + Y) = 3/7, since 3/7 of the pins are green.

(G - 1)/[(G - 1) + Y] = 2/5, since after Yaqub gives a green pin to his sister, there are (G - 1) green pins remaining out of (G - 1 + Y) total remaining pins.

To solve for G and Y, we can use algebra to manipulate the equations:

G/(G + Y) = 3/7 can be simplified to 7G = 3(G + Y), which gives us 4G = 3Y.

(G - 1)/[(G - 1) + Y] = 2/5 can be simplified to 5(G - 1) = 2(G - 1 + Y), which gives us 3G - 2Y = 3.

We now have two equations with two variables, so we can solve for G and Y using substitution or elimination. For simplicity, we will use substitution.

From 4G = 3Y, we can solve for Y in terms of G:

Y = (4/3)G

Substituting this into 3G - 2Y = 3, we get:

3G - 2(4/3)G = 3

Simplifying, we get:

G = 9

Therefore, there are 9 green pins in the bag. Using the equation Y = (4/3)G, we get:

Y = (4/3)(9) = 12

So there are 12 yellow pins in the bag. After giving one green pin to his sister, Yaqub has 8 green pins and 12 yellow pins remaining in his bag. To check that 2/5 of the remaining pins are green, we can calculate:

8/(8+12) = 4/10 = 2/5

Therefore, the answer is that there are 8 green pins and 12 yellow pins remaining in the bag after Yaqub gives a green pin to his sister.

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a)  The 95% confidence interval for µd is [2.32, 6.88].

b) There is strong evidence that µd differs from 0.

(a) To calculate a 95% confidence interval for µd, we use the formula:

Confidence interval = [d¯ - t*sd/√n , d¯ + t*sd/√n]

Where d¯ is the sample mean, t is the t-value corresponding to the desired level of confidence and degrees of freedom (df = n-1), sd is the sample standard deviation, and n is the sample size.

For a 95% confidence interval with 49-1=48 degrees of freedom, the t-value is 2.01 (from a t-table).

Plugging in the given values, we get:

Confidence interval = [4.6 - 2.01*7.6/√49 , 4.6 + 2.01*7.6/√49]

Confidence interval = [2.32 , 6.88]


Since the entire interval is greater than 0, we can be 95% confident that the difference between µ1 and µ2 is greater than 0.

(b) To test the null hypothesis H0: µd = 0 versus the alternative hypothesis Ha: µd ≠ 0, we use a t-test.

The test statistic is:

t = (d¯ - µd)/(sd/√n)

Where d¯ is the sample mean, µd is the hypothesized mean difference, sd is the sample standard deviation, and n is the sample size.

Plugging in the given values, we get:

t = (4.6 - 0)/(7.6/√49)

t = 4.24

We then compare this t-value to the critical t-values for the different levels of significance (α = .10, .05, .01, and .001) and 48 degrees of freedom (from a t-table).

The critical t-values are:

t(.10) = 1.68

t(.05) = 2.01

t(.01) = 2.68

t(.001) = 3.50

Since our calculated t-value (4.24) is greater than all of the critical t-values, we reject the null hypothesis at all levels of significance.

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x = 113.2941  is the approximate length of the tree's shadow at the same time of a day.

A unit of length is any arbitrarily chosen and widely accepted reference standard for measuring length. The most common units in modern use are metric units, which are used in every country on the planet. In the United States, customary units are also used. British Imperial units are still used in the United Kingdom and other countries for a variety of purposes. SI and non-SI units are subsets of the metric system.

5 feet + 8 inches is equal to 5 feet.

5 feet 8 inches is equal to 5 feet plus (8 inches) * (1 foot 12 inches).

5 feet 8 inches plus (8/12) feet equals 6 feet.

5 feet 8 inches equals 5 feet plus 2/3 feet.

5 feet 8 inches = (5 + (2/3)) feet

5 feet 8 inches = ((15/3) + (2/3)) feet

5 feet 8 inches = ((15+2)/3) feet

5 feet 8 inches = (17/3) feet

5 feet 8 inches = 5.667 feet

A/B = C/D

where

A = height of person

B = length of shadow of person

C = height of tree

D = length of shadow of tree

So we have

A = 17/3

B = 2

C = 321

D = x

A/B = C/D

(17/3)/2 = 321/x

(17/3)*x = 2*321

(17/3)*x = 642

(3/17)*(17/3)*x = (3/17)*642

x = 1926/17 the precise length of the tree's shadow

The approximate length of the tree's shadow is x = 113.2941.

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Answer:

Step-by-step explanation:

To determine the greatest height you could use for your square pyramid, we'll use the given information about the clay's volume and the relationship between the height and the length of the base side.

Let's denote the length of each side of the square base as "s" cm. According to the problem, the height of the pyramid is 0.5 cm shorter than twice the length of each side of the base, so the height can be represented as 2s - 0.5 cm.

The volume of a pyramid can be calculated using the formula: V = (1/3) * base area * height.

For a square pyramid, the base area is given by the formula: base area = s².

We are given that the clay volume is 18 cm³, so we can set up the equation:

(1/3) * s² * (2s - 0.5) = 18

To simplify the equation, we can multiply both sides by 3 to eliminate the fraction:

s² * (2s - 0.5) = 54

Expanding the equation:

2s³ - 0.5s² = 54

Rearranging the equation:

2s³ - 0.5s² - 54 = 0

Now, we need to solve this cubic equation to find the value of s.

However, to find the greatest possible height, we need to find the corresponding value of height (2s - 0.5) when s is maximized. The maximum value of s would be the one that satisfies the equation and produces a positive height value.

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The cost of each bag of lemons is $4.71

Let y represent the cost of lemon

Angel pays $29.80 for both the cookies and lemon

He pays a total of $6.25 for the cookies

He buys 5 bags of lemons

The equation can be expressed as

6.25 + 5y= 29.80

collect the like terms

5y= 29.80-6.25

5y= 23.55

divide by the coefficient of y which is 5

y= 23.55/5

y= 4.71

The result of y from the equation is 4.71

Hence each bag of lemon costs $4.71

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x=14 in is the smaller part of lumber

55-x=55-14=41 in is the larger  part of lumber

Linear equations are described for strains withinside the coordinate system. If an equation has  homogeneous variables of diploma 1 (that is, best one variable), the equation is stated to be a linear equation in a single variable. A linear equation may have more than one variables. When linear equations have  variables, they may be known as bivariate linear equations.

Examples of linear equations are 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x - y + z = 3. This article gives definitions of linear equations, preferred types of linear equations in a single, , and 3 variables,  and  examples of them with complete explanations.

Let x=the smaller part

Then 55-x=the larger part

Now we are told the following:

2(55-x)=5x+12 simplify

110-2x=5x+12 add 2x to and subtract 12 from each side

110-2x+2x-12=5x+2x+12-12 collect like terms

98=7x

x=14 in--------------------smaller part

55-x=55-14=41 in-----------larger part

CK

2 times larger part=2*41=82 in

5 times smaller part=5*14=70 in

70+12=82

82=82

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Answer:

Positive, Linear, Strong, no

Step-by-step explanation:

I got it right :)

Answer: The relationship between height and vertical jump distance is negative positive, linear, and strong.

There are no unusual observations.

Step-by-step explanation:

Edge

The lamina's moment of inertia about the origin is given by, \(I_0=640 \pi\).

Given:

Find the moment of inertia \(I_y\) and \(I_0\).

The lamina's moment of inertia about the x-axis is:

In the above equation, substitute the given value:

Make use of polar coordinates:

\(\begin{aligned}x &=r \cos \theta \\y &=r \sin \theta \\d A &=d x d y=r d r d \theta \\D &=\{(r, \theta) \mid 0 \leq r \leq 4,0 \leq \theta \leq 2 \pi\}\end{aligned}\)

As we all know, the general equation of a circle is:

The given circle equation is:

As a result, r ranges from 0 to 4.

And ranges from 0 to 2\(\pi\).

As a result, the integral is shown below; simply enter all of the values and then integrate.

\(\begin{aligned}&I_x=\iint_D 5 y^2 d A \\&I_x=\int_0^{2 \pi} \int_0^4 5(r \sin \theta)^2 r d r d \theta \\&I_x=\int_0^{2 \pi} \int_0^4 5 r^3 \sin ^2 \theta d r d \theta \\&I_x=5 \int_0^{2 \pi}\left(\frac{r^4}{4}\right)_0^4 \sin ^2 \theta d \theta \\&I_x=320 \int_0^{2 \pi} \sin ^2 \theta d \theta \\&I_x=320 \int_0^{2 \pi}\left(\frac{1-\cos 2 \theta}{2}\right) d \theta \\&I_x=320\left(\theta-\frac{\sin 2 \theta}{2}\right)_0^{2 \pi} \\&I_x=320\left(\frac{2 \pi}{2}\right) \\&I_x=320 \pi\end{aligned}\)

Now, calculate  \(I_y\) and \(I_0\).

Make use of polar coordinates.

\(\begin{aligned}&x=r \cos \theta \\&y=r \sin \theta \\&d A=d x d y=r d r d \theta \\&D=\{(r, \theta) \mid 0 \leq r \leq 4,0 \leq \theta \leq 2 \pi\}\end{aligned}\)

As we all know, the general equation of a circle is:

The given circle equation is:

As a result, r ranges from 0 to 4.

And ranges from 0 to 2\(\pi\).

As a result, the integral is shown below; simply enter all of the values and then integrate.

\(\begin{aligned}&I_y=\iint_D 5 x^2 d A \\&I_y=\int_0^{2 \pi} \int_0^4 5(r \cos \theta)^2 r d r d \theta \\&I_y=\int_0^{2 \pi} \int_0^4 5 r^3 \cos ^2 \theta d r d \theta \\&I_y=5 \int_0^{2 \pi}\left(\frac{r^4}{4}\right)_0^4 \cos ^2 \theta d \theta \\&I_y=320 \int_0^{2 \pi} \cos ^2 \theta d \theta \\&I_y=320 \int_0^{2 \pi}\left(\frac{1-\cos 2 \theta}{2}\right) d \theta \\&I_y=320\left(\theta-\frac{\sin 2 \theta}{2}\right)_0^{2 \pi} \\&I_y=320\left(\frac{2 \pi}{2}\right) \\&I_y=320 \pi\end{aligned}\)

The lamina's moment of inertia about the origin is given by:

\(\begin{aligned}&I_0=\iint_D\left(x^2+y^2\right) d(x, y) d A \\&I_0=\iint_D 5 r^2 r d r d \theta \\&I_0=5 \int_0^{2 \pi} \int_0^4\left(\frac{r^4}{4}\right)_0^4 d \theta \\&I_0=320 \int_0^{2 \pi} d \theta \\&I_0=320(\theta)_0^{2 \pi} \\&I_0=640 \pi\end{aligned}\)

So, the moment of inertia is \(I_x=320 \pi\).

The worth of, \(I_y=320 \pi\).

Therefore, the lamina's moment of inertia about the origin is given by, \(I_0=640 \pi\).

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The correct question is given below:

Find the moment of inertia about the x-axis of a thin plate with density δ=5 bounded by the circle x2+y2=16. Then use your result to find Iy and Io.

Answer:

4 hours

Step-by-step explanation:

x = hours

240 + 65x = 500

subtract 240 from both sides

65x = 260

divide both sides by 65

x = 4

it took 4 hours for the mechanic to repair Jordan's car

Answer:

4 hours

Step-by-step explanation:

65×2=130

130+240=390(incorrect)

65x3=195

195+240=435(incorrect)

65×4=260

260+240=500(correct)

so it took him 4 hours to repair Jordans car

Answer:

14

Step-by-step explanation:

5 - ( - 9 ) = 5 + 9 = 14

The double negative becomes positive.

-Chetan K

Answer:

14

Step-by-step explanation:

Because 5-(-9) equals 5-1(-9) and when you multiply two negatives you get a positive, to solve just add 5 and 9

Hope this helps!

The relationships described indicate that, without trade, the price of shoes relative to automobiles is lower in the United States compared to the Rest of the World.

In the given two-country two-good two-input model, the relationships suggest that the price of shoes relative to automobiles is lower in the United States compared to the Rest of the World. Let's now examine the relative labor endowment.

The relative labor endowment refers to the ratio of labor available in one country compared to another. Given that the capital-labor ratios for automobiles and shoes are higher in the United States than in the Rest of the World, it implies that the United States has a higher capital endowment relative to labor compared to the Rest of the World.

Since technology and tastes are assumed to be the same in both countries, the lower price of shoes relative to automobiles in the United States indicates that the labor input required for producing shoes is relatively higher in the United States compared to the Rest of the World.

This suggests that the United States has a higher labor endowment compared to the Rest of the World.

Therefore, based on the given relationships, we can conclude that the relative labor endowment in the United States is higher than in the Rest of the World.

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Answer:

The function that has a domain of 'x' greater-than-or-equal-to 5 and a range of 'y' less-than-or-equal-to 3 is;

\(y = -\sqrt{x - 5} +3\).

Step-by-step explanation:

The domain of a function are the possible 'x' values of the function

The range of a function are the possible 'y' values of the function

The given possible functions are;

1) \(y = \sqrt{x - 5} +3\)

The range of values for the above function are;

Domain; x ≥ 5

Range; y ≥ 3

2) \(y = \sqrt{x + 5} -3\)

The range of values for the above function are;

Domain; x ≥ -5

Range; y ≥ -3

3) \(y = -\sqrt{x - 5} +3\)

The range of values for the above function are;

Domain; x ≥ 5

Range; y ≤ 3

4) \(y = -\sqrt{x + 5} -3\)

The range of values for the above function are;

Domain; x ≥ -5

Range; y ≤ -3

Therefore, the required function is the third function, \(y = -\sqrt{x - 5} +3\).

Answer:

C on Edge2021

Step-by-step explanation:

The probability that both are red is 0.0791.

Given,

Total marbles: 37 + 15 = 52

According to the number of red cards out of all the cards, there is a 15/52 possibility that a red card will be pulled during our initial pull.

Depending on how many red/total marbles are still in there, there is a 14/51 probability that the second marble pulled will also be red.

Our two fractions are multiplied together from here,

15/52 * 14/51

We can start by simplifying a little bit; the numbers 14 and 52 share a 2;

15/26 * 7/51

Our result is 35/442

Depending on whether you choose to maintain it in fractional, ratio, or percentage form, the result of dividing is around 0.0791, which rounds to 7.91%.

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Answer:

The height of the pile is increasing at a rate of 16.72 feet per minute. To solve this problem, we need to use the volume formula for a right circular cone: V=pi/3 r²h. We know that the volume is 20 cubic feet per minute, the height is 14 feet and the radius of the base is 14 feet. So we can calculate the rate of change of the height by rearranging the formula to give v/(pi/3r²). So for our example, v/(pi/3*14²)=20/(pi/3*14²)=20/(3.14*196)=20/613.44=16.72 feet per minute.

Answer:

x = 30

EXPLANATION:

Move all terms not containing x to the right side of the equation.

Subtract

15 from 45 then you get your final answer x = 30

Answer:

65.4 degrees

Step-by-step explanation:

cos(x) = 5/12

x = arccos(5/12), which is approximately  65.3756816 (on calculator). to the nearest tenth that is 65.4

The value of x that makes the equation 5(2x - 3) - 6x = 1/2(4x - 10) true is x = 5

The equation is given as

5(2x - 3) - 6x = 1/2(4x - 10)

When the brackets are expanded, we have the following equation

10x - 15 - 6x = 2x - 5

Evaluating the like terms. we have

2x = 10

Divide both sides of the  equation by 2

So, we have

x = 5

Hence, the value of x in the equation is 5

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