Mathematics Middle School

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

MATH HELP!! What is the y-interpret of this line?

Answers

Answer:

B(0,2)

there was a y- intercept at the line.. u must see the point that intercept with y- axis

Answer: B. (0,2)

Step-by-step explanation: Look at where the line goes through the Y-axis. You can see it goes through the 2 on the y-axis so its (0,2)

How many ounces are in 4 pints? Please explain and show work plz.

Answers

1 pint = 16 ounces
so
multiply by 4
16x4=64

SCIENCE:
Speed Velocity and Time​

Answers

Q1.

D= 1546

T= 67

S= D/T=S

1546/ 67= 23.07

Q2.

D= 29

T= 32

S= D/T=S

29/32= 0.91

Q3.

D= 43

T= 40

S= D/T=S

43/40= 1.08

Q4.

D= 2467

T= 4.41

S= D/T=S

2467/4.41= 559.41

seem that the questions have been answered

Which set of ordered pairs represents a function? (1 point)


A) {(0, 1), (1, 3), (1, 5), (2, 8)}

B){(0, 0), (1, 2), (2, 6), (2, 8)}

C) {(0, 0), (0, 2), (2, 0), (2, 4)}

D) {(0, 2), (1, 4), (2, 6), (3, 6)}

Answers

Answer:

The very last set

{(0, 2), (1, 4), (2, 6), (3, 6)}.

The reason why is because of the vertical line test. If there are two y-coordinates on a x-coordinate then it is not a function. A function is that each x-coordinate has a y-coordinate with the x-coordinates being different.

Example is above. If you have any questions then leave a comment. Good luck!

Step-by-step explanation:

Sheila buys two concert tickets from her friend. She pays $90 for the two tickets . She looks at the tickets and sees that each ticket has face value of 52.50
what was the percent markdown, rounded to the nearest whole percent/?

ASAP PLZ

Answers

Answer:

52.50×2=105. then 105-14% answer is 14%

Answer:

14% markdown

Step-by-step explanation:

I havent had to do one of these in a while so I'm not 100% sure that I answered it right. its pretty hard to explain but just add a comment asking for the steps if u want them. and tell me if it was right or wrong plz

Your test scores in science are 83 and 87. What possible scores can you earn on your next test to have a test average between 85 and 90, inclusive?

Answers

You need to do any extra work and score 100 on at least like three things

Which graph represents the function f(x)=0.5^{x} +4

Answers

Answer

the second graph on the first image

Step-by-step explanation:

The graph of the function given is attached at the end.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the exponential function as -

f(x) = (0.5)ˣ + 4

An exponential function is of the form → f(x) = eˣ.

The given function is -

f(x) = (1/2)ˣ + 4

The graph of the function is attached.

Therefore, the graph of the function given is attached at the end.

To solve more questions on expressions, visit the link below -

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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

Erica can solve 30 addition problems in 15 minutes. If she works at the same rate, how many problems can Erica solve in 2 minutes?

Answers

Answer:

4 problems.

Step-by-step explanation:

30 is double 15,

4 is double 2

Hope I helped!

Answer:

Erica can solve 4 problems in 2mins.

Step-by-step explanation:

30 divided by 15 is 2, meaning she solves 2 problems in 1min. To solve for 2mins you have to multiply 2 by 2 and you get 4.

Please tell me how you did this step by step
Think about how you can use absolute value notation to express the distance between two points on a coordinate graph. For each pair of points below, find the distance between the given points and express your work using absolute value symbols. Please Show or Explain your work.

(4, 9) and ( –5, 9)

Answers

Answer:

(4, 9) and (-10, -8)

Step-by-step explanation:

Answer:

absolute value symbols are the the ones that look like this | | with numbers in the middle right?

Pls help I’m stressed

Answers

answer is x = 9 over 5

Please help me I will give you the brain thing and extra points. image below
The scatter plot shows the relationship between the number of car accidents in a month and the number of drivers attending a program on distracted driving. The equation represents the linear model for this data.

y=−0.0067x+17
What does the number 17 in the equation mean in this context?


A.The number of accidents decreases by 17 for every 100 drivers in the program.

B.For every 100 drivers in the program, there are 17 accidents per month.

C.There were 17 drivers in the program when it started.

D.There were 17 accidents per month when there were no drivers in the program.

E.There were no accidents per month when there were 17 drivers in the program.

Answers

The answer is B hope you have and amazing day!!

Answer:

There were 17 accidents per month when there were no drivers in the program

Step-by-step explanation:

You can tell this by looking to the left-hand side and seeing the line begins at (0,17) meaning 0 drivers and 17 accidents. It’s basically showing the program causes fewer accidents than the starting point, which is 17!

[PICTURE ATTACHED] HEELLPP

variability kiddos.

Answers

Answer: D

Step-by-step explanation:

Hope this helps

Please help! (I'll give brainliest to the first right answer)

Answers

Answer:

Step-by-step explanation:

Clara opened a bank account. She deposited $95 each month for 10 months. Her bank charged her $2 each month to use the account. How much money is in Clara's account after 10 months?
A. $75
B. $970
C. $93
D. $930.
{Please give the most accurate and correct answer. I will reward with brainliest if so.}

Answers

Answer:

930$ I belive hope this helped if it did plz leave a brainliest

Step-by-step explanation:

D. 930
95•10=950
2•10=20
950-20=930

Find the number if :
5/9 of it is 90

Answers

Answer:

5/9 of 90 = (5/9)(90) = 50

Step-by-step explanation:

The number is 162.

90/5=18

18(9)=162

What is the x and y intercept of the following function
y=1-x

Answers

X = (1,0) y=(0,1) is your answers
Y=mx+b the y represents the answer, while the mx+b represents the equation

Does the table represent a proportional relationship?

Answers

Proportion because they’re not the same

-1 1/5 + -3/5 = ? please help asap

Answers

Answer: -4/5 or -0.8
Explanation: Because it is the answer

simplify 39/160 help me

Answers

Answer:

13/80

Step-by-step explanation:

39/160=13/80

if you’re looking for the decimal form, then it’s 0.243

Unit Rate - the value of one **hint**divide

Sam paid $131 for 4 Rodeo Concert Tickets. Each ticket costs the same amount. What was the cost of each concert ticket in dollars and cents?

Answers

Answer: 32.75

Step-by-step explanation: 131/4 = 32.75

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:

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* Elimination With Multiplying *
1. 2x − 3y = −6

-5x − 9y = 15

2. −8x − 3y = 16

−8x − 4y = 24

3. 4x − 2y = 22

−3x − 9y = −6

Answers

1.
(2x-3y=-6)-3
-5x-9y=15

-6x+9y=18
-5x-9y=15
-11x=33
x= -3
y=0

2.
(-8x-3y=16)-1
-8x-4y=24

8x+3y=-16
-8x-4y=24
-1y=8
y= -8
x=1

i couldn’t figure out 3 where it made sense but i hope i helped

ryan had 40$ to buy an apple then on Tuesday he go 9$ how many dollars did he had in all

Answers

Answer:

40 plus 9 is 49 simple math

Mark me as brainliest plz

Answer:

49

Step-by-step explanation:

100 this time lol sorry about last time

Answers

Answer:

1. 1

2. 40

3. 36

Step-by-step explanation:

brainliest?

Answer:

minus 1 four

40-4

36

Step-by-step explanation:

simplify by combining like terms: 1.9h + 4.5h + 8

Answers

Answer:

14.4h

Step-by-step explanation:

I assumed you meant 8h because 8 isn't a like term.

Answer:

=6.4h+8

Step-by-step explanation:

What is the perimeter of △RST?

Answers

Answer:

b

Step-by-step explanation:

sorry if its wrong:/

Perimeter of Triangle 3C+√3C+√2C.

The correct option is (C).

What is the perimeter of the triangle?

Perimeter of a triangle = sum of all three sides

Also, the unit of a triangle's perimeter is the same as the units of the lengths of its sides. In case, the units of lengths of its sides are different, then first convert them into the same unit.

Given that:

RUT= RUS= 90°

and SUR= SRU=45

Let RU=C

So, SU=RU=C

and, RS= √2

Since, RUT= 60

then, UT= √3C and RT=2C

now, perimeter of △RST

=RS  +RT+SU+UT

=√2C+2C+C+√3C

=3C+√3C+√2C

Hence, the perimeter of Triangle 3C+√3C+√2C.

Learn more about perimeter of triangle here:

https://brainly.com/question/24388271

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Nikos is building a raised rectangular garden in his backyard. The perimeter of the garden is 40 feet. Its width is 8 feet. What is its length?

Answers

The length of it is 12ft

Answer:

Length = 12 FT

Width= 8 FT

Perimeter= 40 FT

Step-by-step explanation:

Brainlist to whoever answers! (If u say the answer “oH I jUst wNtEd tO sAY liKe ur pFP” I will report that.

Answers

Answer:

B is the only one that makes sense I believe. About putting your pride aside to ask for help.

Step-by-step explanation:

I didn't read about anyone "helping themselves" before helping others and C is not true, and its unlikely there was no theme at all in the passage.

Answer:

The correct answer is A

What is the distance between -3 and 12

Answers

Answer:

15 IS YOUR ANSWER

Step-by-step explanation: BRAINLIEST PLEASE AND THANKS

Answer:

15

Step-by-step explanation:

I am not 100% sure, it could be wrong

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