What is the constant of proportionality, \dfrac{y}{x}
x/y
​
start fraction, y, divided by, x, end fraction ?

By using ratio, it can be calculated that-

Ratio of earnings to the stock’s price = 20 : 1

What is ratio?

Ratio between two quantities tells us how many one quantity is bigger than the other and the comparison is to be made between quantities with same unit. The first part of the ratio is called antecedant and the second part of the ratio is called consequent.

The price of a certain stock is $55.00 per share

Earnings are $2.75 per share

Ratio of earnings to the stock’s price = 55 : 2.75

                                                              = 5500 : 275

                                                              = 20 : 1

To learn more about ratio, refer to the link-

https://brainly.com/question/2328454

#SPJ1

Answer:

B

Step-by-step explanation:

(4-3x5)/(∛8 +2)

(4 - 15)/(2+2)

-11/4

Answer:

12 visits.

Step-by-step explanation:

Jocelyn receives a flat 25 reward point, and 12.5 points for each visit. She wants to redeem a free movie ticket that costs 170 points.

Set the equation. Let "each visit" be denoted by the variable, x:

12.5 per visit + a flat 25 reward point ≥ Free movie ticket that costs 170 points.

12.5x + 25 ≥ 170

Isolate the variable, x. Note that what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, subtract 25 from both sides of the equation:

12.5x + 25 ≥ 170

12.5x + 25 (-25) ≥ 170 (-25)

12.5x ≥ 170 - 25

12.5x ≥ 145

Next, divide 12.5 from both sides of the equation:

(12.5x)/12.5 ≥ (145)/12.5

x ≥ 145/12.5

x ≥ 11.6

x ≥ 11.6 is your answer. Therefore, Jocelyn would have to make 12 trips to earn her first free movie ticket.

~

Learn more about solving for inequalities, here:

https://brainly.com/question/17675534

Answer:

sqrt66

Step-by-step explanation:

Area of a square is

A = s^2

Here, the area is 66.

66 = s^2

Squareroot both sides to solve.

sqrt66 = s

The side of the square is sqrt66 ft.

This number, sqrt66 is not a rational number because 66 is not a perfect square. Sqrt64 is 8, sqrt81 is 9. But sqrt66 is 8.1240384046 (continuing, neverending, never repeating decimal)

That is not rational.

">" makes each inequality statement true. since -19 > -20

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than."

Given three inequalities symbols>, <, and = and we need to compare -19 and -20 as per the problem. Hence -19 > -20

Therefore, Each inequality assertion is true when ">" is used. since -19 > -20

Learn more about comparison symbols here:

https://brainly.com/question/9438279

#SPJ1

The length of  line QP is [tex]\sqrt{14}[/tex]

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

ΔPOR and ΔPNO are similar since line ON and line QR are parallel.

for similar triangles, the ratio of corresponding lengths is equal.

So that,

QR/ON = QP/NP = PR/OP

but ON = QP

since QR/ON = QP/NP

then

QR/QP = QP/NP

by cross multiplying we have

QP^2 = NP x RQ

but QR =2 and NP = 7

QP^2 = 2 x 7

QP^2 = 14

QP =   [tex]\sqrt{14}[/tex]

In conclusion, QP =  [tex]\sqrt{14}[/tex]

Learn more about similar triangles: https://brainly.com/question/2644832

#SPJ1

Given that the second student chosen is a girl, the probability that both students are female is 0.175.

The occurrence of likely events is referred to as probability. It is the branch of mathematics concerned with numerical estimates of the likelihood of an event occurring or a statement being true.

Probability is nothing but likelihood of something is to occur. When we are unsure about the outcome of an event, we can discuss the probabilities of certain outcomes—how likely they are.

The probability of selecting a girl from the class is

[tex]= \frac{Number\ of\ girls}{ Total\ number\ of\ students}= \frac{14}{26}\\\\= \frac{7}{13}[/tex]

It is known that the one of the chosen student from 2 students is girl, the probability of having both girls will be:

[tex]= \frac{7}{16} * \frac{6}{15}\\\\= 0.175[/tex]

Hence, the probability is 0.175.

To learn more about probability refer here

https://brainly.com/question/11234923

#SPJ4

Your question is incomplete, here is the complete question.

Your statistics class has 26 students in it - 14 girls and 12 boys.Your teacher uses a calculator to select two students at random to solve a problem on the board. Given that the second student chosen is a girl, what is the probability that the first student was also a girl?

Answer:

–2.4 + 3.2t

Step-by-step explanation:

= –3.6 – 1.9t + 1.2 + 5.1t

= –3.6 + 1.2 – 1.9t + 5.1t

= –2.4 + 3.2t

i hope this helped

Answer:

The minimum y-value of f(x) is -3.

Step-by-step explanation:

To find the minimum y-value of f(x), we can plug in a value of x that will make the y-value as small as possible. In this case, we can plug in x = 0 to get f(0) = 3² - 3 = 0. Since 0 is the smallest possible value for f(x), the minimum y-value of f(x) is 0.

Similarly, we can find the minimum y-value of g(x) by plugging in a value of x that will make the y-value as small as possible. In this case, we can again plug in x = 0 to get g(0) = 7 * 0² - 3 = -3. Since -3 is the smallest possible value for g(x), the minimum y-value of g(x) is -3.

Therefore, the correct answer is option A: "The minimum y-value of f(x) is -3."

Answer:

Step-by-step explanation:

A. The minimum y-value of f(x) is -3.

D. The minimum y-value of g(x) is -3.

We can conclude that due to the help of nurses, the survival time of patients given drugs was the highest.

The nurse takes the patient's cardiac output and makes a decision on how the patient will react to the medication.

What types of tasks does a nurse perform?

Registered nurses (RNs) administer and supervise patient care, educate the public about various ailments, and provide psychological support and counseling to patients' relatives. Most nurses collaborate to doctors in a variety of contexts.

How many years do such people live?

People who have access for informal health information as having a nurse or doctor in the parents 10% more likely to remain past the age of 80, according study released in a journal article by that of the Directorate of Economic Research.

Therefore, we can conclude that due to the help of nurses, the survival time of patients given drugs was the highest.

To know more about Nurse visit: brainly.com/question/28548078

#SPJ4

Answer:

c

Step-by-step explanation:

all triangles equal 180°

The simplified trigonometric expression in this problem is defined as follows:

sin(3x)/sin²(x) = 3csc(x) - 4sin(x).

The trigonometric expression in this problem is defined as follows:

sin(3x)/sin²(x).

The equivalent expression for the sine of 3x is given as follows:

sin(3x) = 3sin(x) - 4 sin³(x).

Then the expression can be written as follows:

(3sin(x) - 4 sin³(x))/sin²(x)

The subtraction is in the numerator, hence the expression can be simplified as follows:

3sin(x)/sin²(x) - 4sin³(x)/sin²(x)

3/sin(x) - 4sin(x)

One divided by the sine is equivalent to the cossecant, hence:

3/sin(x) - 4sin(x) = 3csc(x) - 4sin(x).

Meaning that the first option among those given on the image at the end of the answer is correct.

The problem is given by the image shown at the end of the answer.

More can be learned about trigonometric expressions at https://brainly.com/question/24349828

#SPJ1

Answer:

D)  The y-axis only tests whether x = 0 has been mapped to more than one y coordinate.

Step-by-step explanation:

The y-axis is a vertical line and intersects the x-axis (horizontal line) at the origin (0, 0) when both x and y are zero.

Vertical line test

A graph represents a function if and only if all vertical lines intersect the graph at most once.

Therefore, the strategy of using only the y-axis as the vertical line in the vertical line test is flawed because the y-axis only tests whether x = 0 has been mapped to more than one y-coordinate.

Brian started cleaning at 3:33 PM and finished at 4:21 PM. The correct answer is 48 minutes

First, we are figuring out what is given we are counting numbers or we can add to get to 4:21 PM.

Counting numbers:

[tex]\boxed{3:33=3:34=3:35=3:36=3:37=3:38=3:39=3:40 }[/tex]

Add the numbers:

[tex]\boxed{3:33+7=3:40+10=3:50+10=4:00+21=4:21}[/tex]

If we add the numbers it would be faster.

Therefore, when we add we get are answer.

Therefore, Brian started cleaning at 3:33 PM and finished at 4:21 PM. The correct answer is 48 minutes

Answer:

48

Step-by-step explanation:

The largest factor of the sum of y and z is 24.

The replacement approach has the advantage of providing the precise values for the variables (x and y), which correspond to the site of intersection.

When using the "by substitution" method, you must first solve one of the equations provided (you must choose which one) for one of the variables (you must choose which one), after which you must plug this value back into the other equation provided (you must "substitute" for the chosen variable and solve for the other value). The first equation is then used to back-solve for the first variable. The many procedures required in using the replacement approach to solve problems have been described in full above. Use those to discover the solution to a given system of linear equations.

We are given with three equations having three unknowns:

x = z/4

x + y + z = 26

y = 2z

Using the method of substitution, we can now solve for each of the three unknowns.

Since the first equation, x = z/4, is an equation for x in terms of z, and the third equation, y = 2z, is an equation for y in terms of z, we can replace x and y in the second equation by their equivalent expressions as follows:

x + y + z = (z/4) + (2z) + z = 26

We are left with an equation with just one unknown z. We can now solve for z:

(z/4) + (2z) + z = 26

z/4 + 8z/4 + 4z/4 = 13z/4 = 26

z/4 = 2

z = 8

Now that we know z, we can easily solve for y, then compute y + z (note: we can also solve for x, but since we are not interested in the value of x there is no need to do so):

y = 2z = 2(8) = 16

y + z = 16 + 8 = 24

Since the largest factor of any number is the number itself, the largest factor of the sum of y and z is 24.

To learn more about substitution method visit the link:

https://brainly.com/question/25869125

#SPJ4

Answer: range is 4.

Step-by-step explanation:

highest apples: 6 at springfield.

lowest apples: 2 at charleston.

subtract.

6-2=4.

The equation of g(x) after the transformation is given as follows:

g(x) = 192x^5 - 36x² + 12.

The equation for function g(x) is obtained applying the rules for each transformation to the parent function f(x).

The parent function f(x) in this problem is defined as follows:

f(x) = 2x^5 - 3x² + 4.

The first transformation is an horizontal shrink by a factor of 1/2, hence the rule for this transformation is described as follows:

g(x) = f(2x).

Thus:

g(x) = 2(2x)^5 - 3(2x)² + 4

g(x) = 64x^5 - 12x² + 4.

The vertical stretch by a factor of 3 means that all these coefficients are multiplied by 3, that is:

g(x) = 3(64x^5 - 12x² + 4).

Applying the distributive property, we have that:

g(x) = 192x^5 - 36x² + 12.

More can be learned about transformations to functions at https://brainly.com/question/29661677

#SPJ1

The probability that less than three of the chosen consumers think that currency won't be used in 20 years is 0.293.

According to the statement, 40% of consumers think cash will be unnecessary in 20 years. Let us assume that eight consumers are chosen at random.

We need to determine the likelihood that fewer than three of the chosen consumers think currency will be obsolete in 20 years.

We will use the properties of probability distribution in the given scenario.

We know that for randomly selected variable the properties of combination are used.

P(X=1) + P(X=2) = C¹₈ × 40 × 60⁷ + C²₈ × 40² × 60⁶

P(X=1) + P(X=2) = 0.293

Therefore, there is a 0.293 percent chance that fewer than 3 of the chosen customers think that cash will be obsolete in 20 years.

The ratio of likely outcomes to all scenarios that are feasible, to all possible outcomes is called probability.

Normal distributions are crucial to statistics because they are commonly used in the natural and social sciences to describe real-valued random variables with uncertain distributions. They are important in part because of the central limit theorem.

This claim asserts that under certain conditions, the average of many samples (observations) of a random variable without finite mean and variance is itself a random variable, whose distribution converging to either a normal distribution as the number of samples increases.

Disclaimer: The complete question is :

40% of consumers believe that cash will be obsolete in the next 20 years. Assume that only 8 consumers are randomly selected. Find the probability that less than 3 of the selected consumers believe that cash will be obsolete in the next 20 years .

(Round to three decimal places as needed.)

To learn more about probability visit:

https://brainly.com/question/14210034

#SPJ4

The given statement "a teacher awards t-shirts to those students who complete their goal of walking 50 miles during a semester " is the example for tangible reinforcers.

Tangibles serve as a visual reminder for employees to keep an eye out for desired behaviours and then provide specific positive feedback. . This aided you in completing your assignment quickly and correctly. "You have earned a Tiger Ticket because you followed directions," can improve the student-teacher relationship. You can give the student positive specific feedback without using a tangible (ticket, token, etc.), but a tangible must always be accompanied by positive specific feedback.

Hence, the given statement is an example of tangible reinforcers

To learn more reinforcers refer here

https://brainly.com/question/28587113

#SPJ4

The bookstore sold a total of 150 chemistry textbooks and 225 sociology textbooks.

What is a linear equation in two variables?

An equation is said to be a linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Let C be the number of chemistry textbooks sold and S be the number of sociology textbooks sold. We can write the following system of equations to represent the given information:

C + S = 375

C = 2S

To solve this system of equations, we can substitute the second equation into the first equation to get C + 2S = 375. Then we can solve for S by subtracting C from both sides to get 3S = 375 - C. Dividing both sides by 3 gives us S = (375 - C) / 3.

Substituting this expression for S back into the second equation, we get C = 2((375 - C) / 3). Multiplying both sides by 3 and simplifying gives us 3C = 750 - 2C, or C = 750 / 5 = 150.

Substituting this value for C back into the first equation, we get 150 + S = 375, so S = 375 - 150 = 225.

Hence, the bookstore sold a total of 150 chemistry textbooks and 225 sociology textbooks.

To learn more about linear equations in two variables, visit:

brainly.com/question/13951177

#SPJ1

The difference in height between the submarine and the aircraft is 255m.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, At one time the aircraft is 200 m above the surface, the submarine is 55 m below the surface.

We know length can not be a negative value hence the difference between

the submarine and the aircraft is |200| + |-55|.

= 200 + 55.

= 255m.

Therefore, there is a 255-meter height difference between an aircraft and a submarine.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1

Answer:

See attached image

Step-by-step explanation:

Dividing the ones and then put the decimal point and divide the tenths and so on.

what is a meant by decimal point?

To learn about decimal point refer to

https://brainly.com/question/26090574

#SPJ1

Age of Mike is 56 and Sam is 17 years according to given equation.

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical operation, and extraction of roots.

Main body:

Let the age of mike be x and age of sam be y .

According to question :

Mike's age is 5 more than 3 times Sam's age , which means

x = 3y+5                -------(1)

The sum of their ages is 73.

x +y = 73               -------(2)

using eqn 1 in 2,

3y +5 +y = 73

4y = 68

y = 17

x = 3*17 +5

x = 56

hence , age of mike is 56 and sam is 17 years.

to know more about arithmetic , visit:

https://brainly.com/question/25421984

#SPJ1

The solution to this pair of equations is the point (2, -1).

To learn more about linear equations graphically refer to:
https://brainly.com/question/14323743

#SPJ1

The value of the test statistic is 3.371

What is Hypothesis?

A hypothesis is a notion that is consistent with available data but has not been proven true or wrong.

A hypothesis (also known as a statistical hypothesis) is a statement on which hypothesis testing will be based in statistics. The null hypothesis and alternative hypothesis are two of the most important statistical hypotheses.

Given that,

s1 = 8      ,   n1 = 330

s2 =7      ,   n2 = 310

Means

x1 = 33

x2 = 31

standard error is

S ∈ = √S₁²/n₁ + S₂²/n²

S = √8²/330 +7²/310

S = 0.593

Test statistic is Ts = x1-x2/S∈

= 33-31/0.593

Ts = 3.371

The test statistic has a value of 3.371.

To learn more about Hypothesis visit:

brainly.com/question/29519577

#SPJ4

1. 16%

8/50 = .16 x 100% = 16%

2. 135 x .16 = $21.6

Answer:

26.14 ft²

Step-by-step explanation:

The area of the two triangles is 2*(1/2*3*4) = 12 ft².

The area of the semicircle is 1/2*π*3² ≈ 14.14 ft².

The total area is 12 + 14.14 = 26.14 ft².

Answer:

m∠1 = 62º

m∠2 = 45º

m∠3 = 24º

Step-by-step explanation:

Angle 1 is supplementary to 118º, so we can solve for its measure by subtracting 118º from 180º.

m∠1 = 180º - 118º = 62º

The interior angles of a triangle are supplementary, so we can solve for it by summing the small triangle's interior angle measures to 180º.

m∠1 + m∠2 + 73º = 180º

62º + m∠2 + 73º = 180º

m∠2 = 45º

Do the same thing as you did for angle 2 for angle 3.

(45º + m∠3) + 62º + 49º = 180º

m∠3 = 24º

Answer:

16p + 4

Step-by-step explanation:

the first thing you should do when you simplify an equation is to distribute the parenthesis

4p * 4 + 1 * 4

16p + 4

you cannot simplify any further so that is your answer