Suppose that y is directly proportional to x, and y = −16 when x = −2. What is the constant of proportionality?

A) −8
B) −
1
8
C) 1
8
D) 8

Answers

Answer 1

Answer:

In the given expression the constant of proportionality is  k = 8.

Step-by-step explanation:

The quantity P is said to be directly proportional to Q if they vary in proportion to each other.


Here, P ∝ Q ⇔  P = kQ : k = Proportionality Constant


Now, here given y ∝ x   and x =  -2, y = -16

Now, y ∝ x ⇒  y =  kxor, (-16)   = k (-2) or, k = 16/2  = 8 ⇒ k = 8So, for k = 8, y ∝ x 

Hence, in the given expression the constant of proportionality is  k = 8.


Related Questions

Please help with algebra!!! ill give brainliest
linear equations with one variable (show work)
9 equations

Answers

Answer:

answer is attached in the image below

17. -6b + 20 = -16
-6b+20-20= -16-20
-6b = -36
b = 6
18. -4m + 2 = 14
-4m + 2 -2 = 14 - 2
-4m = 12
m=-3
19. -9c-4=-4
-9c-4+4=-4+4
-9c=0
c=0

20. 2y- (-10) = 18
2y+10=18
2y+10-10=18-10
2y=8
y=4

21. 1/2g+2=6
0.5g+2=6
0.5g+2-2=6-2
0.5g=4
g = 8

22. 3r-25=5
3r-25+25=5+25
3r = 30
r =10

23. 2/3s-(-4)=8
2/3s+4=8
2/3s+4-4=8-4
2/3s=4
s=6

24. 4/5a+(-5)=0
4/5a-5=0
4/5a-5+5=0+5
4/5a = 5
a= 25/4 aka 6.25

25. -2/7w -6 = -4
-2w/7=2
(-7/2)(-2a/7)=(7/2)•2
a=-7

A store sells a hoodie for $45, the sales tax rate in this state is 8%. What is the total price with sales tax applied?

Answers

The answer is $48.60.

The hoodie by itself has a price of $45. If the sales tax if 8% of the price you’d have to calculate the sales tax and add it to the net amount.

(45)(.08) = 3.60

(45) + 3.60 = 48.60
$48.60. multiply 45 by 0.08 to find the tax, which is $3.60. add the price plus the tax and you have the end price, which is $48.60

help me ples ples ples ples

Answers

The answer is 38 do you need me to explain why

This is the last of my points... And no one's answering :c
Please someone do this I have a lot of school to do and I can't because i just got home and it's due by 7! I'll give brainiest!!! And five stars!
Please define the following terms:

mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights.

Answers

Answer:

Mercantilism is an economic policy that is designed to maximize the exports and minimize the imports for an economy. It promotes imperialism, tariffs and subsidies on traded goods to achieve that goal

Import is to bring in (merchandise, commodities, workers, etc.) from a foreign country for use, sale, processing, reexport, or services.

Export is to ship (commodities) to other countries or places for sale, exchange, etc.

enumerated article is under the English navigation Acts, those commodities that could be shipped only to England or other English colonies; originally included sugar, tobacco, cotton, and indigo.

legislature is a deliberative body of persons, usually elective, who are empowered to make, change, or repeal the laws of a country or state; the branch of government having the power to make laws, as distinguished from the executive and judicial branches of government.

An indentured servant or indentured laborer is an employee (indenturee) within a system of unfree labor who is bound by a signed or forced contract (indenture) to work without pay for the owner of the indenture for a period of time

The Navigation Acts, or more broadly the Acts of Trade and Navigation, was a long series of English laws that developed, promoted, and regulated English ships, shipping, trade, and commerce between other countries and with its own colonies.

The Dominion of New England in America was an administrative union of English colonies covering New England and the Mid-Atlantic Colonies.

The English Bill of Rights was an act signed into law in 1689 by William III and Mary II, who became co-rulers in England after the overthrow of King James II. The bill outlined specific constitutional and civil rights and ultimately gave Parliament power over the monarchy

This table shows the relationship between x and y.

btw i put that on accident

Answers

Answer:

C) 54.5

Step-by-step explanation:

to find the constant of this proportional x and y table;

first divide y by x.

eg. 163.5 divided by 3, which results in 54.5

next, to confirm this is our answer, we need to divide y by x once more.

eg. 327 divided by 6, which also results in 54.5

hope this helped! have a great day/night!! :')  

The answer is C :D Hope i helped

Select all equations that can result from adding these
two equations or subtracting one from the other.
equation 1: x + y = 12
equation 2: 3x - 5y = 4
(Select all that apply)

Answers

Answer:

Step-by-step explanation:

x + y = 12 ---------------(1)

3x - 5y = 4 --------------(2)

(1)*5 + (2) * 1 then,

5x + 3x = 60 + 4

8x = 64

x = 64/8

x = 8

from (1), 8 + y = 12

y = 4

apply(x,y)=(8,4) to these function.

-2x-4y = -32 no

-2x+6y=8 yes

like this

The required expression after the addition of the equations is  4x  - 4y = 16, and the expression after the subtracting of the equations is -2x +6y =  8.

Given that,
To select all equations that can result from adding these two equations or subtracting one from the other.

equation 1: x + y = 12
equation 2: 3x - 5y = 4

What is the equation?

The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.

Here,
Addition
  x  +   y  = 12
+ 3x - 5y =  4
--------------------
 4x  - 4y  = 16

Subtraction,
  x  +  y  = 12
- (3x - 5y =  4)
--------------------
  x  +  y  = 12
- 3x + 5y = -4
---------------------
-2x + 6y = 8

Thus, the required expression after the addition of the equations is  4x  - 4y = 16, and the expression after the subtracting of the equations is -2x +6y =  8.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

please answer with proof please!!!

Answers

A
Cause it can’t be B cause she’s moving
And if it was D he would be slowing down and C doesn’t match up with the 8hours a day

Answer:

I think its ethier A or C becouse it passes through the 8 hours

Step-by-step explanation:

Help!!

If you don't understand what to do here are the directions:

Find the products/answers to each equation then, I have to highlight the ones that are equivalent.
I'll include a example:

Answers

I believe for the first one it stays 1.5!

Best answer gets brainliest

Answers

Thank you for deleting a answer so I can put down the answer so the answer is 1,920

Ziann’s weekly earnings were proportional to the number of hours she worked. This table shows the number of hours Susan worked and the amount she earned.
How much money did Ziann earn per hour?

Answers

Answer:

Can't answer.

Step-by-step explanation:

We know that Ziann's earnings were proportional to the hours she worked, but the table shows how much Susan earned, so we don't know how much Ziann earned. We are not told that Ziann and Susan are the same person.

Susan's earnings:

$47.50/(5 hours) = $9.50/hour

According to the table, Susan earned $9.50 per hour.

What is 5×6×7/19×5.898 = ?
100 Points Exclusive !!!

Answers

Answer:

65.188421

Step-by-step explanation:

hope i helped<3Have a nice day and remember to drink water!

Answer:

65.1884210526

Step-by-step explanation:

((5 * 6 * 7) /19) * 5.89800 = 65.1884210526

have a great day!

Please answer 1 and 3 please

Answers

Answer:

1 C

3 A

Step-by-step explanation:

1 c 3a. That is the answer to your question

A type of fish your aquarium cost $9 each you can spend no more than $54 how many of these fish can you buy write an inequality to model the problem how many fish can you buy

Answers

Answer:

x=54-9f

6 fish

Step-by-step explanation:

You would do 54 ÷ 9 = 6 because each fish costs 9$ from 54$.

Answer = 6

Mark talked on his cell phone 3 hours over the weekend. Genaro talked on his phone 1 9−− 10hours. How much longer did Mark talk on his phone than Genaro?

Answers

Answer:

3 - 1 9/10 = 2 10/10 - 1 9/10 = 1 1/10 hours

Step-by-step explanation:

Answer:

5 7/10 longer

Step-by-step explanation:

Hope this helps <3

A large bottle of juice contains 500 milliliters. A smaller size bottle has 70% as much juice. How many milliliters or juice are in the smaller bottle?

Answers

Answer:

350 milliliters.

Step-by-step explanation:

Answer:

350 milliliters

30 points if you aswer this[tex]\frac{1}{3}x \frac{3}{4} x\frac{4}{5}[/tex]

Answers

Answer:

1/5

Step-by-step explanation:

1/3 x 3/4 x 4/5

1/3 x 3/4 = 3/12

3/12 x 4/5 = 12/60

12/60 = 1/5

The answer is = 12/60

HELP PLEASE ASAP!!!!!!

Answers

Answer:

B

Step-by-step explanation:

rate change = slope

slope = y2-y1/x2-x1

slope= -3.4-5.4/ 8-(-3)

slope= -4/5

I’m pretty sure it might be B

ANSWER BOTH PAGES PLEASE I NEED IT ASAP

Answers

Answer:

6(c). 172

Step-by-step explanation:

Mark me as brainliest

PLEASE HELP ME I WILL MARK BRAINLIEST AND LOOK AT BOTH PAGES PLEASE!!!

Answers

Answer:

I think 1/2

Step-by-step explanation:

Since there are 4 coins overall and 2 nickels, then the probabilty is 2/4

2/4 simplified is 1/2

(I've never been too good at probability so sorry if it is wrong)

Why do you need the answer so bad? Are you trying to get a pet?

HELP AHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH


x + 2x + 12y + 4

What are the variables of this expression?

Answers

Answer:

3x+12y+4 -- is the simplified version, variables would be x and y

I NEED HELP THIS IS DUE ASAP

Answers

Answer:

Proportional

Unproportional

Step-by-step explanation:

85 -6 = 79

79 -6 = 73

73 -6 = 67

1.49 +10 = 1.59

1.59 + 30 = 1.89

first two answers are : proportional, unproportional

dentify the pattern rule for this sequence: 1, 4, 2, 8, 6, 24, 22…
add 3, divide by 2
multiply by 4, subtract 2
add 3, subtract 2
multiply by 4, divide by 2

Answers

Answer:

Step-by-step explanation:ffcrrer

Answer:

multiply by 4 subtract 2

-hope this helped have a good rest of your day :)

Step-by-step explanation:

Hi, can someone help me with this word problem... i struggle with word problems and can seem to figure this one out!

Answers

15) 1,054,850

16)5,226
(Sorry for my sloppy work but I used these steps to solve it)

what is 2+2 answer in simplest form XD

Answers

Answer:1

Step-by-step explanation:divided 2 by 2

4? LMOA idkkkcgockyckyfo

Tom took a trip of 1,020 miles. He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph. How many hours did the trip take?

8 hours
6 hours
3 hours

Answers

The answer would be 6 hours
HOPE THIS HELPS

Vanessa solved 244 problems in a recent Mathathon. She solved four times as many problems as her friend Bethany. (a) Write a math sentence to determine the number of problems (p) Bethany solved. (b) How many problems did Bethany solve?

Answers

Answer: (a) 61

(B) 61

Step-by-step explanation: If she solved 244 problems, and at the same time she solved four times more than bethany, Therefore 244÷ 4 = 61

Density is measured in units of mass per units of volume. It can be thought of as a unit rate. The mass of a block of aluminum is 9.45 grams. The volume is 3.5 cubic centimeters (cm³).

What is the density of aluminum?
I NEED HELP ASAP PLZ 20.PTS

Answers

To get Density you do 9.45 divided by 3.5 equaling 2.7 and that is the density
2.7 is the answer mate good day!

Match each value of y with the corresponding value of the function?
f(y) = y + y 2 - 3

1. f(-2) a. 9
2. f(-4) b. 3
3. f(0) c. 17
4. f(2) d. -1
5. f(4) e. -3

Answers

Answer:

The First one: f(-2) a. 9

good luck!

Answer:

Step-by-step explanation:

f(-2)  d

f(-4)  a

f(0)   e

f(2)   b

f(4)   c

Refer to the graphic novel (explains the problem) to do excersises a-c. I really need help on all three. This is about volume!!

Answers

Answer:

i found that the bag is 132 cubed and the candle is 117.81 and 132 cubed - 117.81 is =2299850.19 so im pretty sure thats the answer for b

Step-by-step explanation:

but for c if its 1 bag per teacher (like i think it is) then i multiplied 2299850.19 by 70 and i got = 160989513.3

-i dont know for sure if this is correct (tbh im kinda confused) but i hope this helped have a good rest of your day :)

The guy who answer before me is right

a six-pack of cake costs $2.09 at this rate,how much will 32 cans cost

Answers

6 cost 2.09

32 / 6 = 5 1/3

32 cans cost 2.09 * 5 1/3 = $11.15

Answer:

$11.07

Step-by-step explanation:

32 divided by 6= 5.3

5.3x2.09=11.07

The answer is $11.07

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