When two variables are in a proportional relationship, which of the
following is true about their values. *

their sums are a constant

their differences are a constant

their products are a constant

their quotients are a constant
Submit

Answers

Answer 1

Answer:

Their quotients are a constant

Step-by-step explanation:

Required

Quotient of two variable

Let the variables be x and y

The quotient of x and y in this case is their constant of variation.

Take for instance:

[tex](x_1,y_1) = (2,4)[/tex]

[tex](x_2,y_2) = (4,8)[/tex]

[tex](x_3,y_3) = (8,16)[/tex]

Their quotient is calculated as follows:

[tex]Quotient = \frac{y}{x}[/tex]

[tex](x_1,y_1) = (2,4)[/tex]

[tex]Quotient = \frac{4}{2} = 2[/tex]

[tex](x_2,y_2) = (4,8)[/tex]

[tex]Quotient = \frac{8}{4} = 2[/tex]

[tex](x_3,y_3) = (8,16)[/tex]

[tex]Quotient = \frac{16}{8} = 2[/tex]

Notice that the quotient has a constant value of 2.

However, the sum, difference or products will give a different set of values entirely.

Hence, option (d) is correct


Related Questions

Find the value of x. Everything is in the photo.

Answers

Answer:

27

Step-by-step explanation:

Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.

Finding angles of the triangle:

<WYX = <XYZ - <WYZ = 180 - 4x

<XWY = <XWV - <VWY = 180 - 6x

Using the sum of angles in a triangle and substituting these values in:

180 = <X + <WYX + <XWY = 90 + (180 - 4x) + (180-6x) = 450 - 10x

270 = 10x

27 = x

We are done! I hope this helps! :)

You buy some 300-yen pieces of cake and some 350 yen pieces of cake. If you buy 10 pieces of cake and pay 3300 yen, how many of each kind did you buy?

Answers

Answer:

The number of:

300- yen cakes = x = 4

350 - yen cakes = y = 6

Step-by-step explanation:

Let the number of:

300- yen cakes = x

350 - yen cakes = y

You buy some 300-yen pieces of cake and some 350 yen pieces of cake. If you buy 10 pieces of cake and pay 3300 yen, how many of each kind did you buy?

Hence, our system of equations derived from the question is:

x + y= 10 ..... Equation 1

x = 10 - y

300x + 350y = 3300 yen... Equation 2

Substitute 10 - y for x in Equation 2

Hence:

300(10 - y) + 350y = 3300

3000 - 300y + 350y = 3300

- 300y + 350y = 3300 - 3000

50y = 300

y = 300/50

y = 6

x = 10 - y

Substitute 6 for y

x = 10 - 6

x = 4

Therefore, the number of:

300- yen cakes = x = 4

350 - yen cakes = y = 6

MY NOTES ASK YOUR TEACHER Jack has decided to advertise the sale of his car by placing flyers in the student union and the dining hall of the college. He estimates that there is a probability of 0.4 that a potential buyer will read the advertisement and that, if it is read, the probability that the reader will buy his car will be 0.1. Using these estimates, find the probability that a potential buyer will read the ad and will buy Jack's car.

Answers

Answer:

The probability that a potential buyer will read the advert and will buy Jack's car is 0.04

Step-by-step explanation:

Estimate 1:  There's a 0.4 probability that a potential buyer will read the advert.

Estimate 2:  There's a 0.1 probability that whoever reads the advert will buy his car.

- As you can see, the probability of success of this event decreases; from the point of Jack placing an advert, to the point of someone purchasing his car.

- That someone reads the advert does not mean that he or she would be interested in or capable of purchasing the car.

- That someone has the capacity to buy the car (potential buyer) does not mean they'll eventually buy it.

- So altogether, there is a low probability of each reader purchasing the car, and that's 0.1

In the calculation of probability, "and" represents multiplication. Hence,

0.4 × 0.1  = 0.04

A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.



How much was the tip in dollars?

Answers

Answer;

7.77

Step-by-step explanation:

Find the height of a right circular cone whose radius is 5 cm and volume is 100 pie cm cubed​

Answers

Answer:

h = 3.82

I have attached picture

A rectangular garden is fenced on all sides with 246 feet of fencing. The garden is 7 feet longer than it is
wide. Find the length and width of the garden.
(w + 7) feet=top w=side

The length of the garden is
feet.
The width of the garden is
feet.

Answers

Answer:

4

Step-by-step explanation:

in a journey of 450km a person complete its 150km in 3hours.Then he increases his speed by 20%.How long time does it take to complete all the journey​




Answers

Answer:

450 km

150/3=50km/hr

50+20%

1/5*50=10

50+10=60

60km/hr

450-150=300

300/60=5

5 hours

The ratio of berries to oranges is 12:5. If there are 25 oranges, how many berries are there

Answers

Answer:

60

Step-by-step explanation:

5*5 is 25

then 12 * 5 is 60!

HELP PLEASE HELP!! I NEED THIS DONE BEFORE AN HOUR!! PLEASEEEE!! :(((
On Christmas Eve, Charlie ate 20% of the gingerbread cookies he baked. If he ate 11 cookies, what was the total number of cookies he baked?

Answers

Answer:

22

Step-by-step explanation:

Charlie baked total of 55 cookies if he ate 11 cookies which is the 20% of the total cookies.

What is Percentage?

The ratio or number in terms of the fraction per 100 is called the percentage. This concept is mainly used to calculate the proportion of any value with respect to the original value.

Symbol representing the percentage is %.

Let x be the number of cookies Charlie baked.

Percentage of cookies Charlie ate = 20%

Number of cookies Charlie ate = 11

That is, Charlie ate 20% of the total cookies, x, which actually equals 11.

⇒ 20% × x = 11

⇒ (20/100) × x = 11

⇒ 0.2 × x = 11

⇒ x = 11/0.2

⇒ x = 55

Hence the number of cookies Charlie baked is 55, if he ate 20% of the cookies which equals 11.

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What is the measure of angle Y?
60 40

Answers

Answer:

if it is triangle it is 80

Find the output g when the input r is 4
g=25-3r
g=?

Answers

g = 25 - 3 (4)
g = 25 - 12
g = 13

Answer:

G=13. On kahn

Step-by-step explanation:

A solution has a pH of 10.3. When a solid is dissolved in the solution, the pH changes to 9.6. What can be inferred from this observation? (2 points)

Answers

Answer:

We see that the original material was a base, after adding the other material into the base it reduces its basicity.

So we can infer that the substance added was an acid as if we add bases it will increase the basicity.

PLZ MARK BRAINLIEST

what is 3 divided by 11/12

Answers

Answer:

0.02272

Step-by-step explanation:

Answer:

11/12 dividing 3 would be 11/36

Step-by-step explanation:

which of the following represents the equation with a slope of 3 and a y-intercept of 2?

Answers

Answer:

c is the correct answer

Step-by-step explanation:

PLEASE HELP ASAP
Solve each system by graphing. (REAL GRAPH PAPER ONLY)

Answers

Answer:

Slope with Y intercepts and going down/ up from there

Step-by-step explanation:

I dont have graph paper, but the B part is Y intercept. That Means that the 2nd number is where the line intercepts with Y axis. The Y axis for  1 is Y=-1, with no slope meaning its a straight line with no slope. It just goes through -1 on Y axis horizontally. On number one for the second equation, 2 is the Y intercept for the other line, and the line has a rise and run of 3/1, meaning it goes up 3 on the positive side of the x axis, and it goes to the side one. Hope this made a little sense. I learned this a few weeks ago in my algebra class.

how can i explain for the question???

Answers

what question there’s nothing showing?
explain what question?

PLZ ANSWER IF U KNOW THE ANSWER​

Answers

I think c sorry if I’m wrong

is 3π/9 irrational or rational​

Answers

Answer:

irrational

Step-by-step explanation:

Since π is an irrational number, it would make 3π/9 an irrational number too since multiplying or dividing by pi makes the answer an irrational number.

I bought apples and bananas at the store in a ratio of 3 apples to 4 bananas. If I bought 35 pieces of fruit. How many apples and bananas did I buy.

Answers

Answer:

15 apples

20 bananas

A total of 15 apples and 20 bananas has been bought.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of apples = A

Number of bananas = B

Given that,

Apples and bananas at the store in a ratio of 3 apples to 4 bananas.

So,

A/B = 3/4

And,

A + B = 35

By substitution,

4(35 - B) = 3B ⇒ B = 20

And,

A = 35 - 20 = 15

Hence "A total of 15 apples and 20 bananas has been bought".

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multiply (6x+7)(6x-7) by using sutaible identity​

Answers

Answer:

Here bro, but after this go to sleep

Step-by-step explanation:

Answer:

(6x)^2- (7)^2

36x^2-49

The question is below thanks

Answers

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

[tex]2r[/tex]π

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

[tex]\frac{angles}{360}=\frac{arc}{circumference}[/tex]

Substitute in the given information and solve;

[tex]\frac{82}{360}=\frac{arc}{14pi}[/tex]

arc = [tex]\frac{41}{180}*14pi[/tex]

arc = [tex]\frac{287}{90}*pi[/tex]

arc ~ 10.02

Write the word or phrase that best completes each statement or answers the question.

Answers

Answer:

She can give it in 1- ways

Help please! This has to do with the Pythagorean theorem.

Answers

ANSWER

6.63

Explanation:

Equation used: c2 = a2 + b2 ( rearranged due to having the two sides )

c2 = 12^2 + 10^2

c2 = 144 - 100

c2 = 44

c2 = 6.63 ( the square root of 44 )

Question 2: 5 pts
A machine costs $50,000. Its value depreciates by 15% after each year. Identify the graph of the sequence and
the correct description of its pattern. Then identify the value of the equipment at the end of 8 years.

Answers

Answer:

The value is decreasing by $7500 each year

At the end of 8 years, the equipments value is -$10000

Step-by-step explanation:

15% of 50000 is 50000*15/100=7500

To find the end of 8 years, you subtract the sum of 7500*8 from 50000

7500*8=60000

50000-60000=-10000

What is the center of the circle shown below?
А
ОА. В
ОВ. АВ
в
ос. А
OD. Y

Answers

Answer:

A

Step-by-step explanation:

the answer is A with the letter B next to it

The center of the circle is B.

What is Center of Circle?

A circle's centre is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

The location of a moving point on a plane such that its separation from a stationary point on the plane remains constant or fixed is described as a circle.

A circle is a two-dimensional form characterised by its centre and radius. If we know the centre and radius of a circle, we can draw it. There are an endless number of radii for a circle. A circle's centre is the point at which all of its radii meet. It is also known as the middle of the circle's diameter.

When we are given a circle and must locate its centre.When a circle's equation is supplied and we need to get the coordinates of its centre.

From the figure the equidistant point from the surface of the circle is  B.

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I WILL GIVE BRAINLIEST!!

A jar contains n nickels and d dimes. There are 19 coins in the jar, and the total value of the coins is $1.40.
How many nickels and how many dimes are in the jar? (Hint: Nickels are worth $0.05 and dimes are worth
$0.10.)

Answers

Answer:

The are 8 dimes and 12 nickels

Step-by-step explanation:

1.We set n+d=20 because 20 is the total number of dimes and nickels in the jar.We have $0.05 n because for ever nickel,we earn $0.05.Adding this to the value of dimes,represented similarly by $0.1,then we set this to the amount of money we have in total,which is $1.40.

2.Subtract d from both sides of the first equation to get it by itself.Substitute-d for n in the second equation.The divide both sides by 0.5 to obtain the answer.

3.Substitute 8 in for d to obtain the value or n.

JK has endpoints located at J(15,-13) and K(-9,27) what are the coordinates of the midpoint JK.
A.(3,7)
B.(12,20)
C.(1,9)
D.(14,18)​

Answers

Answer:

(3, 7)

Step-by-step explanation:

The formula for calculating the midpoint of two coordinates is expressed as:

M(X, Y) = [x1+x2/2, y1+y2/2]

Given the coordinates  J(15,-13) and K(-9,27), the coordinates of the midpoints is expressed as:

X = 15-9/2

X = 6/2

X = 3

Similarly,

Y = y1+y2/2

Y = -13 +27/2

Y = 14/2

Y = 7

Hence the coordinate of the midpoint is at (3, 7)

factor completely, I NEED HELP


4x^3 + 7x^2 +4x + 7

Answers

(4x+7) (x^2+1) is it factored

The common factor is x ^ 3

So that gives you x ^ 3 = (4+ 7  / x + 4 / x ^ 2 + 7 / x ^ 3)

Because we therefore simplify x ^ 3 = (4 + (7x ^ 2 / x ^ 3) + (4x / x ^ 3) + 7 / x ^ 3)

Grant also buys bottled water and juice pouches for the picnic. There are
12 bottles of water in each case and 10 juice pouches in each box. Grant wants
to buy the least amount but still have as many bottles of water as juice pouches.
How many of each should he buy? Explain.

Answers

Answer:

60 of each

Step-by-step explanation:

water          juice

12                10

24               20

36               30

48               40

60               50

                  60

Hallp!! will give brainliest.

2.) Use what you know about similarity in right triangles to solve this problem.
Given the area of a triangle is ½ bh, find the area of triangles ABC, BDC and DCA. The picture of the question is right below! thank you.

Answers

Answer:

ABC  2.44

BDC  1.22

DCA  1.22

Step-by-step explanation:

area of a triangle=bh1/2

to find height, use pythagorean theorem a^2 + b^2 =c^2

for ABC, height (1.95) times base(2.5) divided by 2

ABC is bisected so DCA and BDC are congruent, meaning once you've found the area of one of those triangles, you have found both areas.

Cut 2.5 in half to find the base of BDC/DCA.

base (1.25) times height (1.95) = 1.22

Answer:

ABC  2.44

BDC  1.22

DCA  1.22

Step-by-step explanation:

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