Y varies inversely with x. When x = 3 then y = 5. Write an equation to represent this relationship.

Answers

Answer 1

Answer:

Step-by-step explanation:

y ∞ 1/x

y = k/x

Where k is the constant of proportionality

When x = 3 and y = 5

5 = k/3

Cross multiply

k = 5×3

k = 15

The equation is y = 15/x

Answer 2
Final answer:

The given relationship Y varies inversely with X and when X is equal to 3, Y equals to 5 which leads us to the equation Y = 15/X which illustrates this inverse variation.

Explanation:

The given question states that Y varies inversely with X and provides us with a pair of values - X = 3, Y = 5. In mathematics, when one quantity Y varies inversely as another X, it can be represented by the equation Y = k/X where k is the constant of variation. To find k, we will substitute the given X and Y values into the equation leading to 5 = k/3. Simplifying, we find k = 5*3, that is, k equals 15. Therefore, the equation that represents this inverse variation is Y = 15/X.

Learn more about Inverse Variation here:

https://brainly.com/question/26149612

#SPJ3


Related Questions

A student is conducting a probability experiment and wants to know the total number of outcomes for the experiment. The student’s experiment is comprised of three events:
 rolling a six-sided number cube
 flipping a coin
 rolling a six-sided number cube again.
How many outcomes are possible in this experiment?

Answers

Final answer:

There are 72 possible outcomes in the experiment.

Explanation:

The total number of outcomes for the experiment can be found by multiplying the number of outcomes for each event.

For the first event, rolling a six-sided number cube, there are 6 possible outcomes (numbers 1 to 6).

For the second event, flipping a coin, there are 2 possible outcomes (heads or tails).

For the third event, rolling a six-sided number cube again, there are 6 possible outcomes.

To find the total number of outcomes, multiply the number of outcomes for each event: 6 x 2 x 6 = 72.

Therefore, there are 72 possible outcomes in this experiment.

What is the steps for solving 3x-10=84 and tell me what x equals

Answers

Answer:

31 1/3

Step-by-step explanation:

3x-10=84, given

3x=94, add 10 to both sides

x = 31 1/3, divide both by three

Answer:

3x = 84+10

3x = 94

x = 94/3

x = 31.33

Twenty one hundredth as a common fraction

Answers

Answer:

21/100

Step-by-step explanation:

Complete the sentences to make true statements.
6 is 100 times

Answers

Answer:

Step-by-step explanation:

0.06

you can solve it one of 2 ways

first : put 6 over 100 and make it a fraction so 6/100 then convert it to a decimal depending on how your teacher wants it

secondly: divide 6 by 100

The Ortega family made 15/16 pound of confetti for the Annual fiesta celebration in San Antonio they use 1/4 pound to make field eggs how much confetti is left next year

Answers

Final answer:

The Ortega family has 11/16 pound of confetti left for next year's fiesta after using 1/4 pound this year.

Explanation:

The Ortega family started with 15/16 pound of confetti for the celebration. They used 1/4 pound of confetti for the fiesta eggs. To find out how much confetti they have left, we need to subtract the amount used from the total amount they made.

To subtract these fractions, they need to have the same denominator. The fractions already have the same denominator here, which makes it simpler. So, we subtract 1/4 from 15/16:

Convert 1/4 into 4/16 (so both fractions have the same denominator)Subtract 4/16 from 15/1615/16 minus 4/16 equals 11/16

Therefore, the Ortega family has 11/16 pound of confetti left for the next year's celebration.

A teacher wants to create a graph of the students' scores on the final exam and see what the distribution looks like. The teacher is interested in knowing what the median of the scores is on the exam as well as how spread out the scores are. Which type of graph is the most appropriate?
A.bar graph

B.line graph

C.box-and-whisker plot

D.circle graph

Answers

Answer: c. box and whisker plot

Step-by-step explanation:

the box and whisker plot shows you the median and lays out the data so you would know how spread how your numbers are

The most appropriate graph is box-and-whisker plot.

What is box-and-whisker plot?

The left and right sides of the box are the lower and upper quartiles. The box covers the interquartile interval, where 50% of the data is found. The vertical line that split the box in two is the median.

Given:

A teacher wants to create a graph of the students' scores on the final exam and see what the distribution looks like.

As, we know the teacher wants to know median of the scores is on the exam as well as how spread out the scores are.

To find the median from the graph the best graph is  box-and-whisker plot because it shows the quartile and median very accurate.

Learn more about box-and-whisker plot here:

https://brainly.com/question/11859288

#SPJ2

What is the number between 0.5 and 1.0

Answers

Answer:

0.6, 0.7, 0.8, 0.9

Step-by-step explanation:

0.5 < x < 1

Answer:

It could be 0.5, 0.6, 0.7, 0.8, 0.9 depending if it is in the tenths

Samples of size and equals 900 are randomly selected from the population of numbers zero through nine produced by a random number generator in the population of numbers is greater than or equal to five is found for each sample. what is the distribution of the sample proportions
A. skewed to the right
B skewed to the left
C. approximately normal
D. not enough information

Answers

B will be the answer

The option (C) approximately normal is correct if the samples of size and equals 900 are randomly selected from the population.

What are population and sample?

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

We have the samples of size and equals 900 are randomly selected from the population of numbers zero through nine produced by a random number generator as the population of numbers is greater than or equal to five is found for each sample.

As per the data given from the sample size 900 randomly selected.

The distribution will be approximately normal.

Thus, the option (C) approximately normal is correct if the samples of size and equals 900 are randomly selected from the population.

Learn more about the population and sample here:

brainly.com/question/9295991

#SPJ2

The movie theater received $1,245 for tickets they sold on Monday. The theater received $955 for tickets sold on Tuesday. Each ticket cost $5.

How many more tickets did the theater sell on Monday than on Tuesday?

Answers

The answer should be $290 in total.

Answer:

Step-by-step explanation:you just add 1,245 plus 955 then you divide by 5 and get 440

A man is parasailing above a lake at an angle of elevation of 32° from a boat. If 129.5 meters of line connects the boat to the parasail, how many meters above the lake is the man to the nearest tenth of a meter? A) 68.6 m B) 80.9 m C) 109.8 m D) 152.7 m

Answers

Answer:

The correct  answer is  option A) 68.6 m

Step-by-step explanation:

Given:

The angle of elevation from the boat  = 32 degrees

Length of the cable that connects the boat and the man = 129.5 meters

To Find:

How many meters above the lake is the man to the nearest tenth of a meter = ?

Solution:

Let the  height of the man from the Lake be H.

then H can be found using the sine formula of the right tringle

where

[tex]sin( angle) = \frac{opposite}{hypotenuse}[/tex]

In the figure below

the hypotenuse is the cable length, H is the opposite side

and angle is the angle of elevation:

The substituting the values

[tex]sin(32^{\circ}) = \frac{H}{129.5}[/tex]

[tex]H = 129.5 \times sin(32)[/tex]

[tex]H = 0.5299 \times 129.5\\[/tex]

H = 68.624

H= 68.6

Answer:

68.6m

Step-by-step explanation:

Select all of the quotients that have the same value as 5.04 divided by 7

1. 5.04 divided by 70
2. 50.4 divided by 70
3. 504,000 divided by 700
4. 504,000 divided by 700,000

Answers

Answer: 2 and 4

Step-by-step explanation: the quick way is by dividing all the answer options

As a point moves in the positive x-direction along the line graphed, what is the rate of change of y with respect to x?
A.4/3
B.3/4
C.-4/3
D.-3/4

Answers

Answer:

B. 3/4

Step-by-step explanation:

Care with these types of graphs as the values are 2 rather than one on each axis.

Away from that, rate of change can also be named "slope" in which how many units up or down the y-value goes per x value. To find the slope or "rate of change" you want to use [tex]\frac{RISE}{RUN}[/tex] .

To find the rise over run you want to go up from any point where the x and y value line up to another. The origin or (0,0) can be used to do this. Look at point (8,6) to see this. Rise from the origin 6 times and run to the right 8 times. Rise OVER run so the rate of change can be shown as 6/8 which can be simplified to 3/4.

how man inches in a foot

Answers

Answer:

12

Step-by-step explanation:

What does the point (4,60) represent in go math books page 131 about bicyclist traveling

Answers

Final answer:

The point (4,60) on a graph in the context of a bicyclist traveling likely represents that the bicyclist traveled a distance of 60 units in a time of 4 units, where the exact units would depend on the graph's axes' labels.

Explanation:

In go math books page 131, the point (4,60) typically represents a point on a graph or chart. In the context of a bicyclist traveling, the two numbers in the point likely stand for two different values or measurements. The first number '4' could represent time elapsed (for example, 4 hours or 4 minutes) and the second number '60' could possibly represent the corresponding distance traveled by the bicyclist (for example, 60 miles or 60 meters). Therefore, the point (4,60) could mean that the bicyclist traveled a distance of 60 units in a time of 4 units. The exact meanings of '4' and '60' would depend on the labels of the x-axis and y-axis of the graph.

Learn more about Graph Interpretation here:

https://brainly.com/question/28418462

#SPJ12

Final answer:

The point (4,60) likely represents that after 4 units of time, the bicyclist has traveled 60 units of distance. This is typically used to interpret motion on a distance-time graph in kinematics, which is a branch of physics.

Explanation:

In the context of a Go Math book, the point (4,60) on a graph usually represents two distinct pieces of information about an event or a scenario. For instance, if we're considering the motion of a bicyclist, the point (4,60) might represent that after 4 units of time (such as 4 minutes or 4 hours), the bicyclist has traveled 60 units of distance (such as 60 meters or 60 miles). However, without the specific context or the content of page 131, it's challenging to determine the exact meaning of the point.

In Figure 24.7, which describes the motion of a motorist, time is on the y-axis and distance on the x-axis, which is a common convention for distance-time graphs in motion problems. Therefore, if (4,60) were a point on such a graph, 4 would likely represent the time elapsed and 60 the distance traveled.

Understanding points on these graphs helps students to visualize and interpret different aspects of motion, such as speed, displacement, and acceleration, contributing greatly to their grasp of kinematics of physics

Learn more about distance-time graph here:

https://brainly.com/question/2088114

#SPJ2

Four times the larger of two numbers is equal to seven times the smaller the sum of the numbers is 22 find the numbers

Answers

Answer:

8 and 14

Step-by-step explanation:

X + Y = 22

X= 22-Y

4X= 7Y

4(22-Y) = 7Y

88-4Y=7Y

88= 11Y

8=Y

X= 22-Y= 22-8=14

(05.07 MC)
The correlation coefficient for poor hearing and loud music in a group of people is 0.67 Analyze the following statement:
Poor hearing is caused by listening to loud music.
Is this a reasonable conclusion?

Answers

Final answer:

While a correlation of 0.67 suggests a positive relationship between loud music and poor hearing, it does not confirm causation. Many factors contribute to hearing loss, and while loud music is a significant risk factor for noise-induced hearing loss, one cannot definitively conclude it causes poor hearing without considering other variables.

Explanation:

The correlation coefficient of 0.67 between poor hearing and loud music indicates a positive and moderate relationship between the two variables, suggesting that people who listen to loud music tend to have poorer hearing. However, correlation does not imply causation. While loud music can be one of the factors contributing to poor hearing, it is important to remember that other factors can also lead to hearing loss, such as age, genetics, infections, and other environmental noises. Therefore, while the correlation is significant, we cannot conclude with certainty that poor hearing is exclusively caused by listening to loud music.

Noise-induced hearing loss can indeed happen from prolonged exposure to sounds of high intensity. For example, listening to music through earbuds at maximum volume, which can be around 100-105 decibels, increases the risk of hearing loss and can cause noise-induced hearing loss after 15 minutes of exposure. The impact of sound intensity on hearing health is undeniable, but when determining causality, a deeper investigation into other possible contributing factors must also be taken into account.

Convert each degrees minutes seconds into decimal degrees
351°41’142”

Answers

Answer:

351.7227778°

Step-by-step explanation:

Final answer:

The conversion of 351°41’142” into decimal degrees involves expressing minutes and seconds as fractions of a degree. This results in approximately 351.7227 degrees.

Explanation:

To convert degrees, minutes, and seconds to decimal degrees, we express the minutes and seconds as fractions of a degree. Degrees are already expressed in decimal form, so 351° remains 351. However, 1 minute equals 1/60 of a degree, while 1 second equals 1/3600 of a degree. So, to convert 41 minutes into decimal degrees, we divide 41 by 60, which equals approximately 0.6833. And to convert 142 seconds into decimal degrees, we divide 142 by 3600, which equals approximately 0.0394. Then we add these values together with the original degrees to get the final answer: 351 + 0.6833 + 0.0394 equals approximately

351.7227 degrees

.

Learn more about Degrees Conversion here:

https://brainly.com/question/30775495

#SPJ12

A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
A y = negative three-fourths x minus 3
B y = negative three-fourths x minus 6
C y = negative 3 x minus three-fourths
D y = negative 6 x minus three-fourths

Answers

Option A

The equation of line is [tex]y = \frac{-3}{4}x - 3[/tex]

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

[tex]slope = \frac{-3}{4}[/tex]

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and [tex]m = \frac{-3}{4}[/tex] in eqn 1

[tex]-6 = \frac{-3}{4} \times 4 + c\\\\-6 = -3 + c\\\\c = -6 + 3\\\\c = -3[/tex]

The required equation of line is given as:

[tex]\text{ Substitute } m = \frac{-3}{4} \text{ and } c = -3 \text{ in eqn 1 }[/tex]

[tex]y = \frac{-3}{4}x - 3[/tex]

Thus the equation of line is found

Answer:

the answer is A

Step-by-step explanation:

Hope this helps!

Which of the following units can be used to measure area?
inches
square centimeters
meters
square yards
cubic feet

Answers

Any measurement that can be used to measure area will have the word square or squared somewhere in the term, because you multiply two values to get the area. So the answers would be inches squared, and square yards. 

Simply meters and centimeters would be used for length; cubic feet would be used for volume because three values have to be used to find an object's volume.

Hope This Helps! :)

QuezoMartiinez :)

Answer:

Square centimeters and Square yards

Step-by-step explanation:

the area of any object has to be squared. for volume it would need to be cubed

A total of $500 was invested, part of it at 7 percent interest and the remainder at 8 percent .If the total yearly interest from both investments amounted to $38 ,how much was invested at 8 percent rate?

Answers

$300 was invested at 8% rate

Step-by-step explanation:

Given that

Total  investment = $ 500

Let $x be invested at 7% and (500-x ) was invested at 8%

∴ The total interest after 1 year =$[tex][\frac{x\times 7\times1}{100} +\frac{(500-x)\times8\times 1}{100}][/tex]

According to problem,

[tex][\frac{x\times 7\times1}{100} +\frac{(500-x)\times8\times 1}{100}][/tex] = 38

⇔7x +4000 - 8x = 38×100

⇔ -x = 3800 - 4000

⇔x = $ 200

Therefore $(500-200)= $300 was invested at 8% rate

хр + ур = z
Solve for p

Answers

Answer:

p = z / (x+y)

Step-by-step explanation:

хр + ур = z  (factorize p on the left side)

p(x+y) = z  (divide both sides by (x+y)  )

p = z / (x+y)

Answer:

p=z/(x+y)

Step-by-step explanation:

xp+yp=z

p(x+y)=z

p=z/(x+y)

Mariah took 76 pictures on vacation.Her sister took 29 more pictures than she did.How many pictures did Mariah’s sister take

Answers

Answer:

105

Step-by-step explanation:

29 more than 76 can be written as:

76 + 29, which equals 105

what’s negative 2 over 5 as a decimal

Answers

Answer:

-0.4 if  the numerator is -2 and -2.5 if the numerator is 5

Step-by-step explanation:

1 Round the number 5.014937 to the nearest hundredth.

Answers

Your answer would be 5.01 because to round to the hundredths means two decimal points meaning 5.014. The 4 is not more than 5 so it wouldn’t make the 1 move up. So it stays 5.01.

The sum of 9 times a number and 5 equals 7.

Answers

Answer:

9x+5=7

9x=2

x=2/9

5x-3y=-12 in slope-intercept form

Answers

Answer:

y = 5/3x + 4

Step-by-step explanation:

First subtract 5x from both sides

-3y = -5x - 12

Then divide -3 from both sides

y = 5/3x + 4

If you need to go further

y = 1 2/3x + 4

Answer

Y=x\3

Step-by-step explanation:

Can anyone help with 20-22?

Answers

Answer:

zx would equal 19 as well

wt=4.5

wy=19

Step-by-step explanation:

this is easy speacily since i am in 8th grade lol

F(x) is an even function and f(-6) = 8. If g(x) = 4f(x+2)-1, then which of the following is the value
of g(4)?

Answers

Plz specify problem clearer

The value of function g (4) will be 31.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

F(x) is an even function.

So, F(-x) = F(x)

And, f(-6) = 8

Now,

The function is,

g(x) = 4 f(x+2) - 1

Find the value of g(4), substitute x = 4 in above equation as;

⇒ g (4) = 4 f(4 + 2) - 1

⇒ g (4) = 4 f (6) - 1

Since, F(x) is an even function.

So, F(-8) = F(8)

Hence, We get;

⇒ g (4) = 4 × 8 - 1

⇒ g (4) = 32 - 1

⇒ g (4) = 31

Thus, The value of function g (4) will be 31.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ2

Concha está elaborando vestidos, si ha elaborado 2/3 de 6 vestidos. Cuantas fracciones de vestidos le faltan por elaborar? ¿Cuantos vestidos a helaborado ya?

Answers

For this case we have the following statement:

Concha is making dresses, if she has made 2/3 of 6 dresses. How many fractions of dresses does she have left to finish? How many dresses have you already made?

If Concha has made [tex]\frac {2} {3}[/tex] of 6 dresses we have:

[tex]\frac {2} {3} * 6 = \frac {6 * 2} {3} = \frac {12} {3} = 4[/tex]

So we have to:

[tex]\frac {3} {3} - \frac {2} {3} = \frac {1} {3}\\6 * \frac {1} {3} = 2[/tex]

Thus, Concha must make 2 dresses to complete all 6. This represents[tex]\frac {1} {3}.[/tex]

Answer:

Concha has made 4 dresses and must make 2 to complete the 6 dresses.

There are 45 people waiting in line to ride the carousel. If the carousel can hold 40 people, how many people will have to wait for the next ride?

Answers

Answer:

5 people

Step-by-step explanation:

This is a subtraction problem.

45 - 40 = 5

Final answer:

There are 45 people wanting to ride the carousel, but since it can hold only 40 people, 5 people will have to wait for the next ride.

Explanation:

This is a simple arithmetic problem. There are 45 people waiting in line and the carousel can hold 40 people. To find out how many people will need to wait for the next ride, we subtract the number of people the carousel can hold from the number of people waiting in line:

Start with the number of people waiting in line: 45 peopleSubtract the number that the carousel can hold: 45 - 40 = 5

So, 5 people will need to wait for the next ride.

Learn more about Subtraction:

https://brainly.com/question/9644053

#SPJ12

Other Questions
Which expressions are equivalent to 4^-3 / 4^-1Choose two answers A. 4^1 / 4^3B. 1/4^2c. 4^3 x 4^1d. (4^-1)^-3 What is one advantage wind power has over solar power?A. Wind turbines harm fewer animals than solar cells.OB. Wind turbines are more reliable than solar cells.OC. Wind turbines make less noise than solar cells.OD. Wind turbines take up less land space than solar cells. Please help with this problem Religious revivals were one part of the wave of religious feeling called Specify what an individual unit is in each of the following studies. Then specify what two variables were measured on each unit. A study finds that college students who often procrastinate tend to be sick more often than students who do not procrastinate. A study finds that sport utility vehicles (SUVs) made by one car manufacturer tend to be more heavily damaged in a crash test than SUVs made by a second car manufacturer. Muscle cell activity increases and ATP decreases below the set-point, a sensor molecule detects low ATP and activates protein kinase A, protein kinase A activates protein kinase B, protein kinase B activates transporters that absorb glucose into the cell, glucose is metabolized. This is a _________. i need help please im confused and i need the answers All of the following statements regarding management accounting's role in assigning decision-making authority are true except: Multiple Choice a. Since management accounting information is used for decision-making purposes, historical information is unnecessary. b. Information from the management accounting system supports decision-making. c. The syllabus for a college course is a type of report that outlines students' decision-making responsibilities. d. All members of an organization have some decision-making ability. Georgia has a bushel basket of appels to sell at her fruit stand 1 out of every 5 cant be sold bacuse they are not ripe yet what persent of her appels are not ripe In the ________ business model, a web-based business builds a digital environment in which buyers and sellers can meet, display products, search for products, and establish prices. which chlorite kills bacteries and removes color from clothes Rather than pay for an oil change at the service station, Justin decides to do the job himself. He drains the used oiland antifreeze directly into the ground in the alley beside his house. After several years, he notices there are nomore frogs in the pond behind his house. What type of pollution is demonstrated in this real world example?ToxicSedimentNutrientBacterial Write the slope-intercept form of the equation of the line that passes through the given points: (-4, -2) and (3, -1) Principle-based ethics might allow the sacrifice of idividual rights if the overall good demanded it.O True O False A dilation is applied to ABC to create DEF. The side lengths of the two triangles are as follows: AB=6, BC=12, AC=15, DE=8, EF=16, and DF=20. Because the dilation factor is __________, this dilation is a(n) __________. which function represents exponential decay Sociologist Max Weber divided those who work for wages into two classes. The __________ class consists of skilled, semiskilled, and unskilled workers. Shortly after September 11th 2001, a researcher wanted to determine if the proportion of females that favored war with Iraq was significantly different from the proportion of males that favored war with Iraq. In a sample of 73 females, 28 favored war with Iraq. In a sample of 54 males, 29 favored war with Iraq.a) Let pF represent the proportion of females that favor the war, pM represent the proportion of males that favor the war. What are the proper hypotheses?A.)H0: pF = pM versus Ha: pF > pMB.)H0: pF < pM versus Ha: pF = pM C.)H0: pF = pM versus Ha: pF < pMD.)H0: pF = pM versus Ha: pF pMb) What is the test statistic? Compute the statistic using male statistics subtracted from female statistics. Give your answer to four decimal places. c) What is the P-value for the test? Give your answer to four decimal places. d) Using a 0.01 level of significance, what conclusion should be reached?A.)The proportion of females that favor the war and the proportion of males that favor the war are significantly different because the P-value is less than 0.01.B.)The proportion of females that favor the war and the proportion of males that favor the war are not significantly different because the P-value is greater than 0.01. C.)The proportion of females that favor the war and the proportion of males that favor the war are significantly different because the P-value is greater than 0.01.D.)The proportion of females that favor the war and the proportion of males that favor the war are not significantly different because the P-value is less than 0.01.e) What is the lower endpoint of a 99% confidence interval for the difference between the proportion of females that favor the war and the proportion of males that favor the war? Give your answer to four decimal places. f) What is the upper endpoint of a 99% confidence interval for the difference between the proportion of females that favor the war and the proportion of males that favor the war? Give your answer to four decimal places. Which of the following services or businesses would likely not be found in a lower-order settlement?A. a large farmB. a gas stationC. a big-box department storeD. a hospital specializing in cancer treatment Select the qualitative characteristics for the following statements. (a) Quality of information that permits users to identify similarities in and differences between two sets of economic phenomena. select a qualitative characteristic (b) Having information available to users before it loses its capacity to influence decisions. Select a qualitative characteristic (c) Information about an economic phenomenon that has value as an input to the processes used by capital providers to form their own expectations about the future. Select a qualitative characteristic (d) Information that is capable of making a difference in the decisions of users in their capacity as capital providers. Select a qualitative characteristic (e) Absence of bias intended to attain a predetermined result or to induce a particular behavior. Steam Workshop Downloader