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

Steven needs to unload a truck containing boxes filled with video consoles. He wants to determine the time required to unload the truck. Which quantity will help Steven to determine the time required?

Answers

Answer:

the last one

Step-by-step explanation:

What is (8 - i) + (5 + 7i)?
O (A) 3 - 8i
O (B) 8i - 3
O (C)-5i
O (D) 13 + 61

Answers

Answer:

13 + 6i

Step-by-step explanation:

expand the brackets (basically drop them), then rearrange the numbers (8 + 5 + 7i - i) then you will get your answer.

Which expression is equivalent to one over three p + 15?

one over three(p + 45)
one over three(p + 5)
3(p + 45)
3(p + 5)

Answers

Answer:

1/3p + 5

Step-by-step explanation:

1/3 of 15 is 5

If you think in terms of multiplication: 3 groups of 5 is 15 so 1 group of 15 would be 5

Answer:

a) 1/3 (p+45)

Step-by-step explanation:

that's the answer

I need the answer ASAP

Answers

Answer:

the are is 14

brainliest??

Step-by-step explanation:

Answer:

48ft

Step-by-step explanation:

Hope this helps. :)

Kellen got an e-mail from his bank on June 7th, June 21st, July 5th, and July 19th. Use inductive reasoning to predict the next time Kellen will receive an e-mail from his bank. A. July 21st B. July 26th C. August 2nd D. August 3rd

Answers

Answer:

August 2nd

Step-by-step explanation:

31 days in july, last email on the 19th

19-5=14

31-19=12

12+2=14

August 2nd, please mark brainliest

Answer: August 2nd

Explanation:

From:
07/06 to 21/06 is a total of 14 days
21/06 to 05/07 is also a total of 14days
05/07 to 19/07 also took 14 days
Therefore, the next email will be sent in another 14 days which is August 2nd (02/08)

Evaluate -5-15+4+15−5−15+4+15minus, 5, minus, 15, plus, 4, plus, 15.

Answers

Answer:

-2

Step-by-step explanation:

ur welcome

-1

Step-By step Explanation:

Picture attached - Two Column Proof - NEED HELP PLS PLS PLS WILL MARK BRAINLIEST

Answers

Answer:

hmm its would be o

Step-by-step explanation:

its O

What is 3×7×7×7×7 using index notation

Answers

Answer: 3 x 7^4

Because there's one 3 & four 7's .

Step-by-step explanation:

Which line is parallel to y = -5/2x - 7?*
O 2x + 5 y = -5
O 2x - 5 y = 30
O 5x + 2y = 4
O 5x-2y = 8

Answers

Answer:

the answer is

5x + 2y = 4

what is the relationship of the angles

Answers

Answer:

Alternate Interior Angles

Answer:

a

Step-by-step explanation:

Suppose that an individual has a body fat percentage of 12.7% and weighs 132 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.​

Answers

Answer:

just go with your heart

[tex]\sqrt{x + 12} = x+5[/tex]

Answers

We can solve the equation that has square root by completing the square (The purpose is to get rid of the square root.)

From [tex]\sqrt{x+12}=x+5[/tex]

Completing the square for both sides.

[tex](\sqrt{x+12})^2=(x+5)^2\\x+12=x^2+10x+25\\x^2+10x+25-x-12=0\\x^2+9x+13=0[/tex]

Because this polynomial cannot be factored. We have to use the Quadratic Formula to solve the equation.

[tex]x=-\frac{b±\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-9±\sqrt{9^2-4(1)(13)} }{2}\\x=\frac{-9±\sqrt{81-52} }{2}\\x=\frac{-9±\sqrt{29} }{2}[/tex]

But from the graph, the radical function graph doesn't intercept y = x+5 at (-9+√29)/2

Therefore, the answer is (-9-√29)/2

Also Ignore A' in the Quadratic Formula. It appears there whenever I want to put "plus-minus" symbol in the formula.

god please help me i’ve been stuck on this problem for hours and i’m so hungry:(

Answers

Answer:

B

Step-by-step explanation:

u should go eat

Answer:

A)

because it passes the line twice instead of once

(fuctions only cross once)

hope that helped you:)

please make my answer brainiest as im trying get 3 brainiest answers

Write an equivalent expression. 2 + 4(c + 7)
A) 4c + 9
B) 30 + 4c
C) 6c + 9
D) 15 + 4c

Answers

2 + 4 (c + 7)
2 + 4c + 28
combine liked terms
4c + 30

Answer:
B) 30 + 4c

I need help with this I’ll mark you as branliest

Answers

Answer:

y=3x

Step-by-step explanation:

Answer:

im sure its y=3x

What is the standard deviation of the data set {2,1,1,2,2,3}?

Answers

Answer:

0.687

Step-by-step explanation:

step 1:  find mean of 6 data values (should be 11/6)

step 2:  find the difference of the mean and each of the six data values

step 3: square each of those six differences

step 4:  find the mean of the squared values (should be 102/216)

step 5:  take the square root of 102/216

Answer:

0.6

Step-by-step explanation:

i just took the test

Which of the three ordered pairs represent the
unit rate?
(1,4)
(3, 12)
(2,8)

Answers

Answer:

(1,4)

Step-by-step explanation:

That's the rate that each coordinate point goes up by as well as it's the first point in the table

Which function is represented by this graph

Answers

y=-1/2x +3 it's last one

-2.5(4w-4)= -6 and check​

Answers

Answer:

y=60

Step-by-step explanation:

which of the following is a characteristic of the circumcenter of a triangle? multi-choice. A. it is the center of the only circle that can be inscribed in the triangle. , B. it is the center of the circle that can be inscribed in given a given triangle. C. it is the center of the only circle that can be circumscribed about the triangle. D. it is equidistant from all three sides of the triangle.

Answers

Answer:

C

Step-by-step explanation:

The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.

I hope this helps!

Further explanation:

For a circle to circumscribe something, it circles it so that each of the vertices are on the circle, so each of the vertices are equidistant from the circumcenter. The circumcenter of a triangle is formed by the perpendicular bisectors of its sides.

Side note:

The rest of the choices describe an incenter.

1 block: 19 houses = 20 blocks:???? Houses?

Answers

Answer:

380

Step-by-step explanation:

as 1 block =19 houses

so 20 blocks*19= 380 houses

Answer: 380

Step-by-step explanation: 19 x 20 = 380

a soup recipe calls for 1 1/2 quarts of vegetable broth and 3/4 quart of chicken broth. what is the total number of cups of chicen broth and befetable broth needed for yhe soup revipe?

Answers

Answer:

2 3/4 - 1/2 = 2 6/8 - 4/8 = 2 2/8 = 2 1/4

Step-by-step explanation:

Which math expression means "33 more than an unknown number"?
O A. 33. x
O B. X-33
O C. X+33
O D. X=33

Answers

C is the answer it’s supposed to be X+33

Laura bought some books. She spent a total of $71 after a discount of $5 off of her total purchase. Each book cost $4. How many books did she buy?


Answers

Answer:

19. books

Step-by-step explanation:

thats a lot

Answer:

19 books

Step-by-step explanation:

4b-5=71

1- The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.
a. less than $1.55?
b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?

Answers

Answer:

0.5

0.9545

0.68268

0.4986501

Step-by-step explanation:

The Canada Urban Transit Association has reported that the average revenue per passenger trip during a given year was $1.55. If we assume a normal distribution and a standard deviation of 5 $0.20, what proportion of passenger trips produced a revenue of Source: American Public Transit Association, APTA 2009 Transit Fact Book, p. 35.

a. less than $1.55?

b. between $1.15 and $1.95? c. between $1.35 and $1.75? d. between $0.95 and $1.55?

Given that :

Mean (m) = 1.55

Standard deviation (s) = 0.20

a. less than $1.55?

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

b. between $1.15 and $1.95?

P(x < 1.15)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.15 - 1.55) / 0.20 = - 2

p(Z < - 2) = 0.02275 ( Z probability calculator)

P(x < 1.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.95 - 1.55) / 0.20 = 2

p(Z < - 2) = 0.97725 ( Z probability calculator)

0.97725 - 0.02275 = 0.9545

c. between $1.35 and $1.75?

P(x < 1.35)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.35 - 1.55) / 0.20 = - 1

p(Z < - 2) = 0.15866 ( Z probability calculator)

P(x < 1.75)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.75 - 1.55) / 0.20 = 1

p(Z < - 2) = 0.84134 ( Z probability calculator)

0.84134 - 0.15866 = 0.68268

d. between $0.95 and $1.55?

P(x < 0.95)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (0.95 - 1.55) / 0.20 = - 3

p(Z < - 3) = 0.0013499 ( Z probability calculator)

P(x < 1.55)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (1.55 - 1.55) / 0.20 = 0

p(Z < 0) = 0.5 ( Z probability calculator)

0.5 - 0.0013499 = 0.4986501

Is this a function???

Answers

Answer:

pfft no lol

Step-by-step explanation:

yeah no

have a good day!  :)

plz give me brainliest

Answer:

yes

Step-by-step explanation:

i think,because it goes past the center it all

HELP IS FOR TODAY EXERCISE 2 SIMPLIFY FRACTIONS

Answers

Answer:

Do u have English version?

Step-by-step explanation:

Find x in the equation?

Answers

Its 9cm do not mind the K.E (top answer).

Identify proportional relationships
Does the following table show a proportional relationship between the variables g and h?
g
3
6
9
9
36
81

Answers

Answer:

sure easy man the carrot is blue and green and orange there naswer soled

sophia used 1/10 of a liter of water to fill 1/4 of a fish aquarium. How much water, in liter is required to fill the aquarium?​

Answers

Answer:

4/10 of a liter

Step-by-step explanation:

if 1/10 of a liter fills 1/4 of the aqauium then your ratio is .1:.25 out of 100 so

100/25=4

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