Suppose y varies directly as x. If x = 24 when y = 8, then what is the constant of variation

Answers

Answer 1

Direct variation is represented by the formula [tex]\frac{y}{x} = k[/tex]

where k is the constant of variation.

So here, since we know that x = 24 and y = 8,

the constant of variation must be equal to 8/24.

if we write 8/24 in lowest terms, we have 1/3.

So 1/3 = k.


Related Questions

Find the exact value of sec795°

Answers

Answer:

I believe the answer would be [tex]\sqrt{6}+\sqrt{2}[/tex] or 3.8637

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

I do not understand what I'm supposed to do​

Answers

if you keep re reading the directions it should help you more !

Question 11

Select all expressions that are equivalent to 9(6k + 3r).

A

15k + 121

B

54k + 27r

С

6(3k + Or)

D

3(18k +91)

Answers

Answer:

I think it is d

Step-by-step explanation:

so sorry if it wrong i tried my best

Answer:

b for sure im not sure if there are any more

ugh i have this question and im not sure if there are any other answers

Step-by-step explanation:

With a coupon, you can get a pair of shoes that normally cost $84 for only $72. What percentage was the discount. Please give the step by step explanation!

Answers

Answer:

14.28%

Step-by-step explanation:

Given that,

You can get a pair of shoes that normally cost $84 for only $72.

We need to find the discount percentage. So, it can be calculated as follows :

[tex]\%=\dfrac{84-72}{84}\times 100\\\\\%=14.28\%[/tex]

So, the required percentage is 14.28%.

Sam weighs 51 kg what is the weigh to the nearest stone ?use the conversion 1kg=2.2 pound and 14 pounds = 1 stone

Answers

Answer:

8/14

Step-by-step explanation:

51 kg

51 x 2.2 =112.2

112.2/14 =8.014 ≈ 8

8/14

What simplified ratio correctly compares 10,000 centimeters to 1000 meters? Drag and drop the appropriate numbers into the boxes. A.1 B.10 C.100 1000 D10.000 E.100.000​

Answers

Answer:

C.

Step-by-step explanation:

Find the slope of the line through the given pair of points.
(0, -19), (20, 15)

Answers

Answer:

M = 17/10

Step-by-step explanation:

Suppose a loaded die has the following probability model: If this die is thrown and the top face shows an odd number, what is the probability that the die shows a 1

Answers

Answer:

the probability is 0.6

Step-by-step explanation:

The computation is shown below:

Let us assume the X would be the number appear on the top face

Now

= P(X = 1) ÷ P(X = 0)

= 0.3 ÷ 0.3 + 0.1 + 0.1

= 0.3 ÷ 0.5

= 0.6

hence, the probability is 0.6

a gumball machine gives you no gum if you insert 5c, 5 gumballs if you insert 10c , 10 gumballs if you insert 15c and 15 gumballs if you insert 20c. how many gumballs could you expect to receive if you insert 35c?​

Answers

Answer:

30

Step-by-step explanation:

create a function where x is the money you insert in cents and y is the amount of gumballs you get.

y = x - 5 (meaning you get five less gumballs than the amount of cents you insert)

Therefore, when x = 35:

y = 35 - 5 = 30.

You will get 30 gumballs.

Factor completely 4x^2 + 3x - 10.
A) (4x - 2)(x + 5)
B) (4x + 2)(x - 5)
C) (4x - 5)(x + 2)
D) (4x + 5)(x - 2)​

Answers

4x²+3x-10

= 4x² + 8x -5x - 10
= 4x (x+2) -5(x+2)
= (4x-5) (x+2)

Option C

Answer:

(4x-5)(x+2)

Step-by-step explanation:

b) 2(x-3) + X = 5x-2(x+5)

Answers

Answer:

X=x−4

Step-by-step explanation:

2(x−3)+X=5x−2(x+5)

Use the distributive property to multiply 2 by x−3.

2x−6+X=5x−2(x+5)

Use the distributive property to multiply −2 by x+5.

2x−6+X=5x−2x−10

Combine 5x and −2x to get 3x.

2x−6+X=3x−10

Subtract 2x from both sides.

−6+X=3x−10−2x

Combine 3x and −2x to get x.

−6+X=x−10

Add 6 to both sides.

X=x−10+6

Add −10 and 6 to get −4.

X=x−4

2.2 + 2x > -5.8 A. -3.88 B. -4.12 C. -4.18 D. -4.22

Answers

Dbdbdbdb47474dhcbdbdb

A civil servant had a salary of Rs. 9600. Tax up to
Rs. 85000 per year would be exempted. If he paid
Rs. 377.50 as a tax per month, how much percent of
tax was imposed ?
(Ans: 15 %​

Answers

Answer:

Step-by-step explanation:

The question is misleading. It was not specified that his salary is Rs 9,600 per month. That is 115,200 yearly. Of that, 115,200- 85,000 = 30,200 is taxable.

tax = Rs 377.50/month = Rs 4,530/year

4,530/30,200 = 0.15 = 15%

math algebra HELP!!!!

Answers

Answer:

y = 32

Step-by-step explanation:

[tex]\frac{1}{2} y + 22 = 38[/tex]

Subtract 22 from both sides to isolate the y variable.

[tex]\frac{1}{2} y = 16[/tex]

Divide both sides by [tex]\frac{1}{2}[/tex], which is the same as multiplying by 2.

y = 32

1/2y + 22 = 38

         -22    -22

1/2y = 16

x2      x2   ---> This is because if 1/2y = 26, that means y times 1/2 is 26, but we                  want to know what y times 1 is because y times 1 is equal to y so we multiply by 2 because 1/2 times 2 equals 1.

y = 32

Y= 2/3x + 2. Y= 3/5x + 3. Graph equations

Answers

One square = 1 unit

Answers are on paper.
I put them on separate graph

please help with my homework

Answers

Answer:

It will be 16pie =50 andpie4^2

Step-by-step explanation:

Hope this Helped

: 3a2 + 2b2 when a = -3 and b = 6​

Answers

Answer: 63

Step-by-step explanation:

3(-3)^2 + 2(6)^2 (multiply 3 times -3) & (multiply 2 times 6)

-9^2+12^2 (-9 to the 2nd power and 12 to the 2nd power)

-81+144 (add them up)

=63

The value of the expression is 3a² + 2b² is 69.

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

Expression: 3a² + 2b²

Not, put the value of a= -3 and b=6 we get

= 3a² + 2b²

= 3(-3)² + 2(4)²

= 3 x 9 + 2 x 16

= 37 + 32

= 69

Hence, the value of expression is 69.

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ2

Round the number 3,454,877 to the nearest 100,000.*

Answers

Answer:

3,500,000

Step-by-step explanation:

the ten thousands place is a 5 so you round the 4 up to a 5

question 1 a physician’s “patient panel” is the list of all patients under their care. in the us, the size of patient panels among primary care doctors is well modeled by a n (1500, 200) distribution. (a) draw a normal curve for this model, labeling the empirical rule (68-95-99.7 rule). (b) if a “medium-sized” panel has anywhere from 1100 to 1700 patients, what proportion of us primary care doctors have a patient panel that is not “medium-sized”? (c) find q1,q3 and the iqr for this distribution.

Answers

Answer:

sorry but i really do’t know

The perimeter of a square garden is 128m. Find the area of the garden in hectares?five star


five star rating brainliest and thanks will be given for the right answer plss help asap!!​

Answers

Answer:

1024m

Step-by-step explanation:

128÷4=32

32×32=1024

Elaine drives her car 180 miles and has an average of a certain speed. If the average speed had been 5mph more, she could have traveled 200 miles in the same length of time. What was her average speed?

Answers

Answer:

45 mph

Step-by-step explanation:

Using the equation d = rt, we can rearrange the equation to be t = d/r

Since the amount of time was the same, we can set d/r equal to each other for both speeds.

Let x represent the average speed.

[tex]\frac{d}{r}[/tex] = [tex]\frac{d}{r}[/tex]

[tex]\frac{180}{x}[/tex] = [tex]\frac{200}{x+5}[/tex]

Cross multiply and solve for x:

200x = 180x + 900

20x = 900

x = 45

So, the average speed was 45 mph

A soccer team gets three points for a win, one point for a tie, and zero points for a loss. The team plays ten games and has three more wins than losses. What is the greatest possible number of points the team could have?

Answers

Answer: 19.

Step-by-step explanation:

The highest you can go is 6 and 3 because you can't do 7 and 4. 6 wins would add up to 18 points. The one game that is missing we can say could be a tie, which would add 1 point, making it 19 possible points.

Answer:

Highest number of wins and losses can only be 6 & 3 and if u take 7 & 4 as taking 7&4 will make total 11 and we know that there was only 10 games.

So we can conclude like this

Number of wins: 6

Number of losses: 3

Number of draws: 1

Thus the points will be, (6*3)+(3*0)+(1*1)

18+0+1

=19 points

(X-2)(x^2+2x+4) what is the answer to this equation?

Answers

Answer:

x^3 - 8

Step-by-step explanation:

First we expand by distributing sum groups
X(x^2 + 2x + 4 ) - 2 (x^2 + 2x + 4)
Then you expand by distributing terms
X^3 + 2 x^2 + 4x - 2 ( x^2 + 2x + 4)
Collect like terms
X^3 + (2x^2 - 2x^2) + (4x - 4x) - 8
Simplify
X^3 - 8

The function f(x) =5x coverts x nickels to pennies. Find a function that converts X Pennys to Nichols then convert 50 pennies to Nichols. 

Answers

Answer:

[tex]f'(x) = \frac{1}{5}x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5x[/tex] --- Nickel to Penny

Required

Determine the function that converts penny to nickel

This question implies that we determine the inverse of the function.

We have:

[tex]f(x) = 5x[/tex]

Represent f(x) with y

[tex]y = 5x[/tex]

Swap the positions of x and y

[tex]x = 5y[/tex]

Make y the subject by dividing both sides by 5

[tex]\frac{1}{5}x = \frac{5y}{5}[/tex]

[tex]\frac{1}{5}x = y[/tex]

[tex]y =\frac{1}{5}x[/tex]

Replace y with f'(x)

[tex]f'(x) = \frac{1}{5}x[/tex]

Hence, the function that converts x pennies to nickels is [tex]f'(x) = \frac{1}{5}x[/tex]

Is 0.88 bigger or smaller or equal to 0.178

Answers

.88 is greater than .178

hope i helped !

Answer:

0.88 is bigger than 0.178

Step-by-step explanation:

0.8 > 0.1

So you can assume 0.88 is bigger than 0.178

william runs 40 yards in 4.5 seconds. at the same pace how long will he take to run 100yards?​

Answers

Answer:

11.25 seconds

Step-by-step explanation:

first, we need to figure how how far william can run per second

we can find this by 40 ÷ 4.5

= 8.889 per second

so we know that 8.889 • s (seconds) = 100

8.889s = 100                 divide both sides by 8.889

s = 11.25 seconds

Answer:

William will take 11.25 seconds to run 100 yards

Step-by-step explanation:

Constant Rate

William runs 40 yards in 4.5 seconds. The rate of change of the distance is

[tex]\frac{40}{4.5}[/tex]

To run 100 yards, we divide by the rate obtained above:

[tex]\displaytstyle \frac{100}{\frac{40}{4.5}} =100*\frac{4.5}{40} =11.25[/tex]

William will take 11.25 seconds to run 100 yards

Jayden kept track of the number of hours that she spent
playing softball each week for several weeks. She spent 4,
7,3, and 6 hours.
What is the mean number of hours that Jayden spent playing softball each
week?
A. 20 hours
B. 5 hours
C. 7 hours
D. 4 hours

Answers

The answer is 20 because you add all the numbers

Answer:

The answer is 5

Step-by-step explanation:

a cubical house can hold 4096 cm3 of air find the height of the house​

Answers

Answer:

The height is 16

Step-by-step explanation:

Given

Shape:  Cube

[tex]Volume = 4096cm^3[/tex]

Required:

Determine the height of the house.

Volume is represented as:

[tex]Volume = L^3[/tex]

Make L the subject

[tex]L = \sqrt[3]{Volume}[/tex]

This gives:

[tex]L = \sqrt[3]{4096}[/tex]

[tex]L= 16[/tex]

The height is 16

The graph show how the amount of fuel in the gas tank changes over time. Choose the graph that correctly combines the graphs of Car A and Car B to show when Car B has more fuel in its tank than Car A.

Answers

Answer:

its b

Step-by-step explanation:

2.)---------------------------------------------------------------------------
A.) A paint store sells exterior for $35.75 a gallon and paint rollers for $6.00 each. Write an equation in standard form for the number of gallons p of paint rollers r that a customer could buy with $190.

B.) Use your equation to determine the number of gallons of paint needed if a customer bought 6 rollers

Answers

The total price for the gallons of paint will be 35.75p

The total price for the rollers will be 6r

So the equation if the customer have 190 will be

price for gallons of paint + price for rollers = 190

35.75p + 6r = 190

(This is the equation)

Other Questions
6. Which is NOT a function of the heart?a. Carbon dioxide is carried from the lungs to the body cells.b. Nutrients from food are absorbed and carried to the body cells.c. Waste products are carried to the kidneys for removal from the body.d. Oxygen is carried from the lungs to the body cells. What is an example of a specific historical question? 48/13 as a decimal rounded to the nearest tenth What does a secondary consumer eat? Immersive Reader Humans depend on ecosystems for ecosystem services andresources. For example, this river ecosystem provides water, fish,and a place to swim. The forest ecosystem provides wood, shade,and erosion control. Choose a resource and describe the possibleeffects of its use on society and on ecosystems throughout its lifecycle. Help me please!!!!!!!!! Find the y-intercept for the parabola defined bythis equation:y=x^2 + 8x + 12Separate the values with a comma. 1-El avance de muestra sociedad depende de que todos emprendamos____________ para combatir la___________ hacia las nias y las mujeres, as como de que_______ la violencia en nuestro__________ y nuestra escuela, interviniendo siempre que podamos para restablecer__________________ Why did many nobles and European monarchs not want to recognize Maria Teresa as the Empress of Austria? Select two pieces of evidence in the passage that best show "A Giant of a Man" is a tall tale.Feeding Bunyans crews of ravenous loggers was a big job.Pauls cook Big Joe wanted a griddle to cook pancakes.So, Big Ole, the blacksmith, made an immense griddle.The pancake batter was stirred in machines like concrete mixers.It was poured on the griddle with cranes. Will the graph of the line represented by the table intersect the graph of y = 5x + 4? Explain.A table showing data of x and y as (-2,5), (-1,0), (0,5), (1,10) and (2,15) respectively. could someone help me? i'd appreciate it thank you I don't get the width and height part (PLEASE HELP WILL GIVE BRAINLIEST ANSWER) Is electricity a "green " energy resource ? Explain why or why not. conduct online research and select a career you want to pursue in finance What did Chief Justice Warren say about how Mirandas confession was made? A remodeling project calls for sanding a chair with a disk sander. The sanding disk used on the sander has a radius of 4 inches. Find the area of the disk. Use 3.14 for \large \pi What does it mean to substitute something? Hormones are released from the brain which then trigger puberty. What is the name of that part of the brain? Based on the studies of literally , democracy diplomacy supermancy