What is the value of x

What Is The Value Of X

Answers

Answer 1

Answer:

52/3

Step-by-step explanation:

Use basic Thales therom,

[tex]\frac{3x}{4x}=\frac{3x+7}{5x-8}\\\\\frac{3}{4}=\frac{3x+7}{5x-8}\\[/tex]

Cross multiply,

3*(5x-8)=4*(3x+7)

3*5x - 3*8 = 4*3x + 4*7

15x - 24 = 12x +28

Add 24 to both sides

15x = 12x + 28 + 24

15x = 12x + 52

Subtract 12x from both sides

15x-12x =52

3x = 52

Divide both sides by 3

x = 52/3


Related Questions


Robert owns two dogs. Each day, one dog eats
1/6 of a scoop of dog food and the other dog eats br
1/6 of a scoop. Together, how much dog food do
the two dogs eat each day? Write in simplest
form.

Answers

Answer:

2/3 scoop

Step-by-step explanation:

1/6 + 1/6 = 2/6 = 1/3

Answer: 2/3 scoop

Consider a study conducted to determine the average protein intake among an adult population. Suppose that a confidence level of 85% is required with an interval about 10 units wide . If a preliminary data indicate a standard deviation of 20g . What sample of adults should be selected for the study?​

Answers

Answer:

With an ageing population, dietary approaches to promote health and independence later in life are needed. In part, this can be achieved by maintaining muscle mass and strength as people age. New evidence suggests that current dietary recommendations for protein intake may be insufficient to achieve this goal and that individuals might benefit by increasing their intake and frequency of consumption of high-quality protein. However, the environmental effects of increasing animal-protein production are a concern, and alternative, more sustainable protein sources should be considered. Protein is known to be more satiating than other macronutrients, and it is unclear whether diets high in plant proteins affect the appetite of older adults as they should be recommended for individuals at risk of malnutrition. The review considers the protein needs of an ageing population (>40 years old), sustainable protein sources, appetite-related implications of diets high in plant proteins, and related areas for future research.

The 100 members of an extracurricular club at a nearby college are subdivided into 6
groups based on ethnic identification. Since 40% of the club is Caucasian, the
researcher ensures that 40% of his sample is also Caucasian. The researcher is using_____sampling
sampling.
A.random
B.cluster
C.stratified
D.systematic

Answers

Answer:  C. stratified

Explanation:

Stratified sampling involves breaking a population of people into separate groups, where there isn't any overlap.

An example would be having a high school with freshmen, sophomores, juniors and seniors. A person can only belong to one group (so we can't have someone whos a freshman and a sophomore at the same time for instance). In that example, each group or strata is a different grade level.

As for this particular problem, each strata is a different ethnicity, and there are 6 strata total.

The researcher is using stratified sampling. The correct option is C.

What is stratified sampling?

A method of sampling from a population that can be divided into subpopulations is known as stratified sampling in statistics. When subpopulations within a larger population differ, it may be desirable to sample each subpopulation separately in statistical surveys.

Stratified sampling involves breaking a population of people into separate groups, where there isn't any overlap.

An example would be having a high school with freshmen, sophomores, juniors, and seniors. A person can only belong to one group (so we can't have someone whos a freshman and a sophomore at the same time for instance). In that example, each group or strata is a different grade level.

As for this particular problem, each stratum is different ethnicity, and there is 6 strata total.

To know more about stratified sampling follow

https://brainly.com/question/1954758

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The graphs of exponential functions f and g are shown on the coordinate plane below.

Answers

9514 1404 393

Answer:

  k = 3

Step-by-step explanation:

It is convenient to look at the line y=1 to see that f(0) = 1 and g(3) = 1. Then for x=3, g(3) = f(3 -k) = f(0) = 1

  k = 3

__

k is the amount by which the function has been shifted to the right. By comparing grid-intersection points on f(x) and g(x), we see that g(x) is 3 units to the right of f(x), so k = 3.

Three research departments have 6, 9,
and 7 members, respectively. Each
department is to select a delegate
and an alternate to represent the
department at a conference. In how
many ways can this be done?

Answers

Answer:

I don't know because I don't understand what you mean

6. If the following fractions were converted to decimals, which one would result in a repeating decimal?
A. 3/7
B. 1/9
C. 3/4
D. 5/11

Answers

Are you sure that’s the correct question? All of these are repeating decimals except for C. 3/4

represent (-12)+(-8)+14 on a number line​

Answers

Answer:

-6

Step-by-step explanation:

(-12)+(-8)= -20

-20+14= -6

please help me asapp

Answers

Answer:

C. 12, 8, 5

Step-by-step explanation:Side lengths of any triangle must conform to the triangle inequality theorem, which says that the sum of the lengths of any of the two sides of the triangle is greater than the length of the third side.

This means:

a + b > c

a + c > b

b + c > a

Let's check each of the options to see which set are possible lengths for a triangle:

A. 6, 5, 11

6 + 11 > 5 ===> 17 > 5

5 + 11 > 6 ===> 16 > 6

6 + 5 > 11 ===> 11 > 11 (INCORRECT. Does not confirm to tye theorem)

Therefore, this set cannot be possible side lengths for a triangle.

B. 8, 1, 2

8 + 1 > 2 ===> 9 > 2

1 + 2 > 8 ===> 3 > 8 (INCORRECT)

8 + 2 > 1 ===> 10 > 1

This set cannot be possible side lengths for a triangle.

C. 12, 8, 5

12 + 8 > 5 ===> 20 > 5

8 + 5 > 12 ===> 13 > 12

12 + 5 > 8 ===> 17 > 8

All are correct, therefore these are possible side lengths for a triangle.

A company's prime costs total $4,572,000 and its conversion costs total $5,580,000. If direct materials costs are $2,088,000, calculate the overhead costs

Answers

Answer:

dont know

Step-by-step explanation:

A study was performed to determine the percentage of people who wear life vests while out on the water. A researcher believed that the percentage was different for those who rode jet skis compared to those who were in boats. Out of 400 randomly selected people who rode a jet ski, 86.5% wore life vests. Out of 250 randomly selected boaters, 92.8% wore life vests. Using a 0.10 level of significance, test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat. Let jet skiers be Population 1 and let boaters be Population 2.
Step 2 of 3:
Step 1 of 3:
State the null and alternative hypotheses for the test. Fill in the blank below.
H0Ha: p1=p2: p1⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯p2H0: p1=p2Ha: p1_p2
Step 3 of 3:
Draw a conclusion and interpret the decision.
Compute the value of the test statistic. Round your answer to two decimal places.

Answers

From the test the person wants, and the sample data, we build the test hypothesis, find the test statistic,  and use this to reach a conclusion.

This is a two-sample test, thus, it is needed to understand the central limit theorem and subtraction of normal variables.

Doing this:

The null hypothesis is [tex]H_0: p_1 - p_2 = 0 \rightarrow p_1 = p_2[/tex]The alternative hypothesis is [tex]H_1: p_1 - p_2 \neq 0 \rightarrow p_1 \neq p_2[/tex]The value of the test statistic is z = -2.67.The p-value of the test is 0.0076 < 0.05(standard significance level), which means that there is enough evidence to conclude that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.

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

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

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

Proportion 1: Jet-ski users

86.5% out of 400, thus:

[tex]p_1 = 0.865[/tex]

[tex]s_1 = \sqrt{\frac{0.865*0.135}{400}} = 0.0171[/tex]

Proportion 2: boaters

92.8% out of 250, so:

[tex]p_2 = 0.928[/tex]

[tex]s_2 = \sqrt{\frac{0.928*0.072}{250}} = 0.0163[/tex]

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

Hypothesis:

Test the claim that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.

At the null hypothesis, it is tested that the proportions are the same, that is, the subtraction is 0. So

[tex]H_0: p_1 - p_2 = 0 \rightarrow p_1 = p_2[/tex]

At the alternative hypothesis, it is tested that the proportions are different, that is, the subtraction is different of 0. So

[tex]H_1: p_1 - p_2 \neq 0 \rightarrow p_1 \neq p_2[/tex]

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

Test statistic:

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis.

This means that [tex]\mu = 0[/tex]

From the samples:

[tex]X = p_1 - p_2 = 0.865 - 0.928 = -0.063[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0171^2 + 0.0163^2} = 0.0236[/tex]

The value of the test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-0.063 - 0}{0.0236}[/tex]

[tex]z = -2.67[/tex]

The value of the test statistic is z = -2.67.

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

p-value of the test and decision:

The p-value of the test is the probability that the proportion differs by at at least 0.063, which is P(|z| > 2.67), given by 2 multiplied by the p-value of z = -2.67.

Looking at the z-table, z = -2.67 has a p-value of 0.0038.

2*0.0038 = 0.0076.

The p-value of the test is 0.0076 < 0.05(standard significance level), which means that there is enough evidence to conclude that the proportion of people who wear life vests while riding a jet ski is not the same as the proportion of people who wear life vests while riding in a boat.

A similar question is found at https://brainly.com/question/24250158

The graph shown is the solution set for which of the following inequalities?

Answers

Answer:

b is your answer hope it is helpful

Answer:

b is the correct answer

Step-by-step explanation:

the answer is b

Which equation would have real zero(s) corresponding to the x-intercept(s) of the graph below?

Answers

Answer:

Choice A.

[tex]y = - {2}^{x} + 4[/tex]

Step-by-step explanation:

Use graphing calculator

Answer:

Choice A.

Step-by-step explanation:

find the value of x, circles and angles

Answers

Answer:

x = 50

Step-by-step explanation:

When two secants intersect in the interior of a circle, the angles formed are the average of the arc an angle and its vertical intercept. In this case, our angle, 73, should be the average of x and 96. We can translate this to an equation and solve:

[tex]\frac{x+96}{2} = 73[/tex]

x + 96 = 146

x = 50

what is the volume of the solid?

Answers

9514 1404 393

Answer:

  (9√3 -3π/2) ft^3 ≈ 10.88 ft^3

Step-by-step explanation:

The area of the hexagon is given by the formula ...

  A = (3/2)√3·s^2 . . . . for side length s

The area of the hexagonal face of this solid is ...

  A = (3/2)√3·(2 ft)^2 = 6√3 ft^2

__

The area of the circular hole in the hexagonal face is ...

  A = πr^2

The radius is half the diameter, so is r = (2 ft)/2 = 1 ft.

  A = π(1 ft)^2 = π ft^2

Then the area of the "solid" part of the face of the figure is ...

  A = (6√3 -π) ft^2

__

The volume is ...

  V = Bh . . . . . where B is the area of the base of the prism, and h is its height

  V = ((6√3 -π) ft^2)(3/2 ft) = (9√3 -3π/2) ft^3 ≈ 10.88 ft^3

Larissa is ordering nachos at a restaurant, and the server tells her that she can have up to four toppings: ground beef, black beans, refried beans, and sour cream. Since she cannot decide how many of the toppings she wants, she tells the server to surprise her. If the server randomly chooses which toppings to add, what is the probability that Larissa gets just refried beans and sour cream

Answers

Answer:

0.0625

Step-by-step explanation:

Given that :

Number of toppings = 4 (ground beef, black beans, refried beans, and sour cream)

The probability of choosing any particular topping at random from the four is :

Probability = required / total possible outcomes

Hence, P = 1 / 4 = 0.25

Hence, the probability of choosing : getting refried bean and sour cream :

P(refried bean) = 1/4

P(sour cream) = 1/4

P(refried bean and sour cream) = 1/4 * 1/4 = 1/16 =

0.0625

resolver utilizando la regla de clamer

Answers

Answer:

pordondede donde eres?

Step-by-step explanation:

........................

Find the value of z.
54°
X
2049
(32+1)°
A. 25.25
OB. 129

Answers

Answer:

Step-by-step explanation:

(z)° + (3z + 1)° = 360° - ( 54° + 204° )

z + 3z + 1 = 360 - 258

4z = 101

z = 25.25

1 +32-10 divided by 2

Answers

Step-by-step explanation:

1+32-10 ÷21+32-533-528

Hope it is helpful to you

The value of the numerical expression 1 + 32 – 10 ÷ 2 will be 28.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The numerical expression is given below.

⇒ 1 + 32 – 10 ÷ 2

According to the PEMDAS rule, the computation wrapped in quotes or the parenthesis comes first in the sequence of operation.

This rule is used to solve the equation in a proper and correct manner.

PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction.

⇒ 1 + 32 – (10 ÷ 2)

Simplify the numerical expression, then the expression will be

⇒ 1 + 32 – 5

⇒ 33 – 5

⇒ 28

Then the value of the numerical expression 1 + 32 – 10 ÷ 2 will be 28.

More about the Algebra link is given below.

https://brainly.com/question/953809

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-3x > 12
What is the value of x? Use substitution to support your answer.

Answers

Answer:

x < -4

Step-by-step explanation:

-3x > 12

-----   ----

-3      -3

12 ÷ -3 = -4

Which means:

x < -4

(The sign changes because the equation is divided by a negative number)

Hope this helped.

Answer:

x <-4

Step-by-step explanation:

-3x > 12

Divide each side by -3. remembering to flip the inequality

-3x/-3 > 12/-3

x <-4

PLEASE HELP ME

An expression is shown below:

6x^2y − 3xy − 24xy^2 + 12y^2

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

9514 1404 393

Answer:

(3y)(2x^2 -1x -8xy +4y)(3y)(x -4y)(2x -1)

Step-by-step explanation:

Part A: All of the coefficients have a common factor of 3. All of the variable products have a common factor of y, so the greatest common factor of all terms is 3y. The expression can be written as ...

  (3y)(2x^2 -1x -8xy +4y)

__

Part B: The remaining factor can be factored pairwise:

  3y(x(2x -1) -4y(2x -1)) = 3y(x -4y)(2x -1)

A gift box shown below is packed with small cubic 1/2 inch blocks. The blocks are packed tightly with no spaces between them.
A. How many blocks are in the gift box?
B. What is the volume of the gift box?
C. Find how much wrapping paper will be needed to wrap the gift box (hint: find surface area).

Answers

Step-by-step explanation:

the box is

9 in × 3.5 in × 4.5 in = 141.75 in³

each block is

0.5 in × 0.5 in × 0.5 in = 0.125 in³ (1/8 in³)

so, we can fit

141.75 / 0.125 = 1134

blocks into the box.

and they fit neatly, as the dimensions of the box and the cubes allow a tight packing without any empty left over space in the box.

I need help on this 20 points

Answers

Answer:

4^15

Step-by-step explanation:

We know a^b^c = a^(b*c)

4^3^5

4^(3*5)

4^15

The number of cubic feet of water in a curved container can be approximated by V=0.95h^2.9 find the amount of water in the container when h=8 feet round to the nearest tenth

Answer choices:
A. 0.9
B. 358.4
C. 395.1
D. 314.9

Answers

Answer:

C. 395.1

Step-by-step explanation:

Substitute the value for x:

[tex]V=0.95(8)^{2.9}\\V=395.1[/tex]

9. What is m JKM? A 28° C 90° B 58.5° D 117°​

Answers

Step-by-step explanation:

her it Go i think it is helpful for u

Does the equation, x + y = 6 show direct variation?

Answers

Answer:

Yeah, x varies directly with (6 - y)

Step-by-step explanation:

[tex]x = 6 - y \\ x = k(6 - y) \\ x \: \alpha \: (6 - y)[/tex]

.80 to the 8th power

Answers

Answer:

0.16777216

Step-by-step explanation:

(. 8)^8=0.16777216

HELLO PLEASE HELP??
which equation represents the circle described? 1. the radius is 2 units 2. the center of the circle is at (5,-6) (x+5)^2+ (y- 6)^2 =4
(x - 5)^2 + ( y + 6)^2 = 4
(x + 5)^2 + (y - 6)^2 =2
(x - 5)^2 + (y + 6)^2 =2

Answers

Answer:

(x-5)^2 + (y+6)^2 = 4

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x-5)^2 + (y- -6)^2 = 2^2

(x-5)^2 + (y+6)^2 = 4

find the angle vector of 7j +10 k,i +6j+6k,-4i+9j+6k​

Answers

Answer:

Right angled and isosceles

help with 30 please. thanks.​

Answers

Answer:

See Below.

Step-by-step explanation:

We have the equation:

[tex]\displaystyle y = \left(3e^{2x}-4x+1\right)^{{}^1\! / \! {}_2}[/tex]

And we want to show that:

[tex]\displaystyle y \frac{d^2y }{dx^2} + \left(\frac{dy}{dx}\right) ^2 = 6e^{2x}[/tex]

Instead of differentiating directly, we can first square both sides:

[tex]\displaystyle y^2 = 3e^{2x} -4x + 1[/tex]

We can find the first derivative through implicit differentiation:

[tex]\displaystyle 2y \frac{dy}{dx} = 6e^{2x} -4[/tex]

Hence:

[tex]\displaystyle \frac{dy}{dx} = \frac{3e^{2x} -2}{y}[/tex]

And we can find the second derivative by using the quotient rule:

[tex]\displaystyle \begin{aligned}\frac{d^2y}{dx^2} & = \frac{(3e^{2x}-2)'(y)-(3e^{2x}-2)(y)'}{(y)^2}\\ \\ &= \frac{6ye^{2x}-\left(3e^{2x}-2\right)\left(\dfrac{dy}{dx}\right)}{y^2} \\ \\ &=\frac{6ye^{2x} -\left(3e^{2x} -2\right)\left(\dfrac{3e^{2x}-2}{y}\right)}{y^2}\\ \\ &=\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\end{aligned}[/tex]

Substitute:

[tex]\displaystyle y\left(\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\right) + \left(\frac{3e^{2x}-2}{y}\right)^2 =6e^{2x}[/tex]

Simplify:

[tex]\displaystyle \frac{6y^2e^{2x}- \left(3e^{2x} -2\right)^2}{y^2} + \frac{\left(3e^{2x}-2\right)^2}{y^2}= 6e^{2x}[/tex]

Combine fractions:

[tex]\displaystyle \frac{\left(6y^2e^{2x}-\left(3e^{2x} - 2\right)^2\right) +\left(\left(3e^{2x}-2\right)^2\right)}{y^2} = 6e^{2x}[/tex]

Simplify:

[tex]\displaystyle \frac{6y^2e^{2x}}{y^2} = 6e^{2x}[/tex]

Simplify:

[tex]6e^{2x} \stackrel{\checkmark}{=} 6e^{2x}[/tex]

Q.E.D.

Help me pls ASAP I WILL GIVE BRAINLIEST
-3 = -e/75

Answers

9514 1404 393

Answer:

  e = 225

Step-by-step explanation:

To eliminate the coefficient of e, multiply both sides of the equation by its reciprocal. The reciprocal of -1/75 is -75.

  (-75)(-3) = (-75)(-e/75)

  225 = e

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