Solve for x. 3x/4+2=4x-1

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Answer:

X = 12.645 round to 12.7

Step-by-step explanation:

∆LMN ~ ∆OPQ

so the coresponding side ratio are proportional

LM/OP = LN/OQ

LM/OP = LN/OQ49/OP = 31/8 ... the u solve x

X = 12.645 round to 12.7

Answer:

P(9,-6), L(3,1)

Step-by-step explanation:

P(4+5,-6)= (9,-6)

L(-2+5, 1)= (3,1)

Answer:

P'(9,-6),L'(3,1)

Step-by-step explanation:

(x,y)→(x+5,y). P'(4,-6)→(4+5,-6)=(9,-6). L'(-2,1)→(-2+5,1)=(3,1).

The limit is not equal to zero, the series is divergent. Therefore, the answer is DIVERGES.

The given series is the sum of terms arctan(3n) from n=0 to infinity:

Σ(arctan(3n)) from n=0 to infinity

To determine if this series is convergent or divergent, we can use the Test for Divergence. If the limit of the individual terms as n approaches infinity is not equal to zero, then the series diverges:

lim (n→∞) arctan(3n)

Since arctan(x) approaches π/2 as x approaches infinity, we have:

lim (n→∞) arctan(3n) = π/2

Since the limit is not equal to zero, the series is divergent. Therefore, the answer is DIVERGES.

To learn more about series, refer below:

https://brainly.com/question/15415793

#SPJ11

The recursive formula for the number of regions created by n lines, where every pair of lines cross and no three lines cross at the same point, is Rn = Rn-1 + (n - 1).

Let n be a natural number representing the number of lines drawn in the plane such that every pair of lines cross and no three lines cross at the same point. Suppose we wish to determine the number of regions in the plane, including some unbounded regions rn. For instance, in the picture below, there are 5 regions in the plane, including two unbounded regions.In order to find a recursive formula for the number of regions created by n lines, we can start with the base case where n = 1. If there is only one line, there will be two regions: one bounded and one unbounded. Next, we can find a recursive formula for n lines by adding one more line and counting the number of regions it creates. When we add a new line, it will intersect every existing line once and create new intersection points. By connecting these points, we can see that the new line will divide each existing region it passes through into two parts. Additionally, it will create a new region bounded by the new line and the previous lines. Therefore, the number of regions created by adding one more line is equal to the number of regions created by the previous (n - 1) lines, plus the number of intersection points created by the new line. The number of intersection points created by the new line is equal to the number of existing lines it intersects, or (n - 1). Thus, we obtain the recursive formula:Rn = Rn-1 + (n - 1)where Rn represents the number of regions created by n lines and Rn-1 represents the number of regions created by the previous n - 1 lines.To justify why this recursion is correct, we can use mathematical induction. The base case is when n = 1, which we have already established as true. Now, assume that the recursion is true for some n = k. Then, we have:Rk = Rk-1 + (k - 1)Next, consider the case where n = k + 1. By adding one more line, we obtain the formula:Rk+1 = Rk + kWe can substitute our expression for Rk into this equation to obtain:Rk+1 = Rk-1 + (k - 1) + k = Rk + (k - 1) + k = Rk + kNow, we can see that this is the same as our formula for Rk+1, which is:Rk+1 = Rk + kTherefore, the formula is true for n = k + 1. By the principle of mathematical induction, it follows that the formula is true for all natural numbers n ≥ 1.

To know more about natural number, visit:

https://brainly.com/question/32686617

#SPJ11

Answer:

It is all 4

Step-by-step explanation:

Answer:

all 4 , the next one is A

Step-by-step explanation:

Answer:

They lack a nucleus

They are prokaryotes

Answer: D

Step-by-step explanation:

360° - 90° - 90° - 108° = 72°

(Sum of angles in a quadrilateral = 360°)

The percentage tip did they give is 18%

If their food and beverage cost $25. 30

There i an 8% meal tax

The tax will be

$25.30(0.08) = $2.024.

Then we add the tax to the price such that

The bill will be

$25.30 + 2.024 = $27.32

Tip = 32.24 - 27.32 = 4.92

percentage tip did they give

= tip given /total amount of the bill x 100

= 4.92/27.32 x 100

= 18%

Therefore, If their food and beverage cot $25. 30 and there i an 8% meal tax and after adding a tip, the total lunch cot wa $32. 24.the percentage tip did they give is 18%

To learn more about percentage refer here

https://brainly.com/question/843074

#SPJ4

The probability that the sample mean would differ from the true mean by more than $2.5 is 0.0062

Mean cost of the five pound shrimp bag = $40

Variance of the five pound shrimp bag = $36

The number of the shrimp bag = 43

The given mean value = $2.5

The z-score = $2.5

The probability of the sample mean differ by $2.5 from the true mean can be calculated by

  P(z > 2.5) = 1 - P(z < 2.5)

From the z table , we can get the value of  z < 2.5 which is 0.9938

    P(z > 2.5) = 1 - 0.9938

   P(z > 2.5) = 0.0062

Therefore , the probability of sample mean from the true mean by 2.5 is 0.0062

Learn more about the normal distribution in

https://brainly.com/question/14916937

#SPJ4

Answer:

the hardcover is 19.95, and the parback is 6.65. enjoy.

Answer:

huh? really?

Step-by-step explanation:

:/ thats cool

Answer: yes?

Step-by-step explanation:

The distance of the base of the tower and the airplane is 348.5 ft,  and the right option is 4. 348.5 ft.

Distance is the length between two points.

To calculate the distance of the base of the tower and the airplane, we use the formula below.

Formula:

Where:

From the diagram,

Given:

SUbstitute these values into equation 1 and solve for A

Hence, the right option is 4. 348.5 ft.

Learn more about Distance here: https://brainly.com/question/26046491

#SPJ1

Answer:

=> p = 6x + 2

=> x = (p - 2)/6...ans

Step-by-step explanation:

The worth of expression at x = - 5 and y = - 2 is,

⇒ 1/3

A numerical expression is characterized as the assortment of numbers factors and works by utilizing operations like expansion, deduction, multiplication, and division.

Considering that;

The expression is,

⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)

Presently, We can place x and y in the above expression as;

⇒ ([x/(y - 1)](- 4) - [xy + (- 3)]/(- 1)

⇒ [- 5/(- 2 - 1) ] (- 4) - [-5×-2 + (- 3)]/(- 1)

⇒ [ - 5/ - 3 ] (- 4) - [10 - 3]/(- 1)

⇒ - 20/3 + 7

⇒ 1/3

In this way, The worth of expression at x = - 5 and y = - 2 is,

⇒ 1/3

to know more about multiplication click here:

https://brainly.com/question/1135170

#SPJ4

Basically we need to find the line equation. So let's take two pair of points and find the slope m:

Therefore:

Now, let's use the slope point equation:

Checking our answer choices:

Therefore, only options A and C are correct.

The function f(x) = tan(2x) will have vertical asymptotes where the function is undefined.

The general form where the tangent function is undefined is at x = (2n+1)π/2, where n is an integer (because tan(x) is undefined at ±π/2, ±3π/2, ±5π/2, ... and so on).

Since our function is tan(2x), it's undefined when 2x = (2n+1)π/2, which simplifies to x = (2n+1)π/4.

So, the function f(x) = tan(2x) has vertical asymptotes at x = (2n+1)π/4, where n is an integer.

Checking our answer choices:

Therefore, only options A and C are correct.

Read more about asymptotes here:

https://brainly.com/question/4138300

#SPJ1

The complete question

Which of the following values of x does the function f(x) = tan(2x) have a vertical asymptote? Select all that apply.

A) -π/4

B) 0

C) π/4

D) π/2

E) π

Answer:

20

Step-by-step explanation:

120 = (1/5 x 120) + (1/3 x 120) + (3/10 x 120) + sprinkles

120 = 24 + 40 + 36 + sprinkles

Sprinkles = 120 - 24 - 40 - 36 = 20

This means that 20 caramel apples are covered with sprinkles

Answer: A and B (first answer choice)

Explanation:

Start at the origin (0,0) where the x and y axis cross. Then move left 1 and up 5 to arrive at (-1,5). The two lines A and B cross at this location, so (-1,5) is the solution to the system formed by just these two equations alone. We ignore lines C and D.

Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

Answer:

b=1

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

13 x 2

12 x 2

then add them together and theres your answer

Answer:

38

Step-by-step explanation:

12 lollipops and 13 packs of cookies: 38

l lollipops and p packs of cookies: 1l+ 2p

No solutions exist to this system of equations

A system of equations is said to be inconsistent if the two equations do not agree, meaning that there is no set of values that can simultaneously satisfy each equation. For example, the most basic inconsistent system of equations could be x = 4 a nd x = 5 at same time which is not possible.

A single equation in three unknowns can be interpreted geometrically in 3-dimensional space. If we look at a system of such linear equations, the solution set is the set of all points lying in all of the corresponding planes.

Systems of equations in three variables that are inconsistent could result from three parallel planes, two parallel planes and one intersecting plane, or three planes that intersect the other two but not at the same location.

Hence, No solutions exist to this system of equations

Learn more about inconsistent equations here :

https://brainly.com/question/5305250

#SPJ4

Answer:

a

Step-by-step explanation:

This phenomenon is due to Weber's law, which states that the just noticeable difference (JND) between two stimuli is a constant proportion of the initial stimulus.

This phenomenon can be explained by Weber's law. According to Weber's law, the just noticeable difference (JND) between two stimuli is not a fixed amount but rather a constant proportion  of the initial stimulus. In other words, the ability to perceive a difference between two stimuli depends on the magnitude of the stimuli and the ratio of their difference to the initial stimulus.

In the given scenario, if a person can notice the difference between 10 pounds and 11 pounds, it means that they can perceive a 10% difference in weight. However, when it comes to 100 pounds and 101 pounds, the difference is also 1 pound, but it represents only a 1% difference in weight. According to Weber's law, the JND for weight perception is relatively constant, and the ability to discriminate between two weights depends on the ratio of their difference to the initial weight. Therefore, the person would not be able to detect the 1% difference between 100 pounds and 101 pounds because it falls below their threshold for discrimination.

Learn more about proportion here:

https://brainly.com/question/31548894

#SPJ11

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

learn more on angles here: brainly.com/question/24195209

#SPJ1

The closest solution to this total among the available possibilities is 0.68, indicating that the portfolio is likely to surpass its benchmark in three or fewer quarters over the course of a year.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms.

Here,

The probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is the sum of the probabilities of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters.

Since the probability of outperforming the benchmark in any quarter is 0.75, the probability of not outperforming the benchmark in a quarter is 1 - 0.75 = 0.25.

The probability of not outperforming the benchmark in exactly 0 quarters is 0.25⁰ = 1

The probability of not outperforming the benchmark in exactly 1 quarter is 0.25¹= 0.25

The probability of not outperforming the benchmark in exactly 2 quarters is 0.25² = 0.0625

The probability of not outperforming the benchmark in exactly 3 quarters is 0.25³ = 0.015625

So, the probability of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters is 1 - 0.25⁰, 1 - 0.25¹, 1 - 0.25², and 1 - 0.25³, respectively.

The sum of these probabilities is the probability of outperforming the benchmark in three or fewer quarters over the course of a year:

P(outperform in three or fewer quarters) = 1 - 0.25⁰ + 1 - 0.25¹ + 1 - 0.25² + 1 - 0.25³

This expression can be calculated to get an exact answer, but to get the closest answer to the options given, we can round off the intermediate results to 2 decimal places:

P(outperform in three or fewer quarters) = 1 + 0.75 + 0.94 + 0.98

The closest answer to this sum among the options given is 0.68, so the probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is closest to 0.68.

To know more about probability,

https://brainly.com/question/30034780

#SPJ4

Using Pythagoras theorem to find the diagonals since the length and width makes a right angle triangle to the diagonals, the length of the diagonals of the small rectangle is √1.75 unit

Pythagoras Theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Mathematically, it can be expressed as: a² + b² = c² where a and b are the shorter sides of the triangle and c is the hypotenuse.

In this problem, we need to find the diagonal of the small rectangle.

If the area of the small square was 7 unit²

It's length (l) will be ;

l = √7

l = √7 unit

But the square is divided into four congruent rectangle, using the area of the small square,

A = 7 unit²

new area = 7 / 4 =  1.75 unit²

The area of a rectangle is L * W

Assuming both have the same value, we can simply take the square root as the length of the small rectangle

L = √1.75 unit

The length of a diagonal of a small rectangle is √1.75 unit

Learn more on Pythagoras theorem here;

https://brainly.com/question/343682

#SPJ1

Answer: a

Step-by-step explanation:

If a cube is rolled by 30 times then 5 times 2s will make the question the model.

Probability is the occurrence of any event or how likely an event can happen.

Mathematically probability = the number of desired outputs by the number of the possible outcomes.

In the number cube, there are six faces above each of them written one to six later.

The probability of getting 2 at once time will be 1/6 since the number of desired output is only one and possible outcomes are six.

Mathematically(Theoretically) if we roll the cube 30 times then the number of 2s will be 1/6 × 30 = 5 times.

If experimentally if we roll dice and the number of 2s came 5 times then our question will become a model.

So by 5 times, 2s will make the question model.

For more information about the probability

https://brainly.com/question/743546

#SPJ5