y varies directly with the cube of x
y = 108 when x = 3

Express y In terms of x

Answers

Answer 1

Answer:

y = 36x

Step-by-step explanation:

y varies directly with x ,

that is y [tex]\propto[/tex] x

Let k be constant

=> y = kx

=> 108 = k(3)

=> k = 108/3

=> k = 36

y can be expressed in terms of x as kx or simply 36x . As we found value of constant as 36.


Related Questions

In the diagram, point K is a point of tangency, MK = 720, and MN = 648. What is the radius of J

A. 76
B. 70
C. 72
D. 64

Answers

The answer to the question is A.

The radius of J is 76. so option A is correct.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

By applying Pythagoras theorem In right triangle,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(720 + J)² = (648)² + J²

518400+ J² + 1440J = 419904 + J²

1440J = 518400- 419904

J = 76

Therefore, J = 76 units is the answer.

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

Marissa has a yard service to help people in her neighborhood. She earns $15 for each lawn she mows, $10 for each yard she weeds, and $5 for each yard she rakes. This month Marissa spent $3 on flyers to send out to neighbors, she purchased a new blower for $26, and paid her brother $18 for helping her mow lawns. If Marissa mowed 4 lawns and raked 8 yards, how much money did she make in profit? 1. 53 2. 100 3. 36 4. 71

Answers

Answer:

100-47=53 so 53$ profit

Step-by-step explanation:

Consider the points A (-1, 1), B (1,5) and C (5, 1). M is the midpoint of AB, and N is the
midpoint of BC.
Show that MN is parallel to AC

Answers

Step-by-step explanation:

IN ΔAMN ΔABC

Since MN∣∣BC

∠AMN=∠ABC (Corresponding angles)

∠ANM=∠ACB (Corresponding angles)

∴ΔAMN∼ΔABC(By $$AA similarity criterion)

AB

AM

=

AC

AN

=

BC

MN

(CPST)

Since, M is mid-point of AB,

AM=

2

1

AB,or,

AB

AM

=

2

1

or,

AB

AM

=

AC

AN

=

2

1

AC

AN

=

2

1

5

AN

=

2

1

[∵AC=5cm]

AN=

2

5

cm=2.5cm

Also,

AB

AM

=

BC

MN

=

2

1

7

MN

=

2

1

[∵BC=7cm]

MN=

2

7

=3.5

Ans=AN=2.5cm and MN=3.5cm

solution

2. Find measure of arc AB.
Find mAB

A) 68
B) 78
C) 88
D) 98

Answers

Answer:

C) 88

Step-by-step explanation:

so we are given a circle, and m<ACB is 44°. We need to find the measure of arc AB

<ACB is an inscribed angle (it is inside the circle), and it intercepts the arc AB

Inscribed angle theorem is a theorem that states the measure of an inscribed angle is half of the measure of the arc it intercepts

which also means that the measure of the intercepted arc is twice the measure of the inscribed angle (this is because of how algebra works)

which means mAB=2m<ACB (inscribed angle theorem)

mAB=2*44° (substitution)

mAB=88° (algebra)

therefore, your answer is C

Hope this helps!

7. The short sides of a parallelogram are both 12.0 cm. The acute angles

of the parallelogram are 65°, and the short diagonal is 15.0 cm.

Determine the length of the long sides of the parallelogram. Round

your answer to the nearest tenth of a centimetre.


Please help explain this question

Answers

The length of the longest side of the parallelogram is 14.7 cm.

We have,

Let's denote the length of the long sides of the parallelogram as L.

In a parallelogram, the opposite sides are congruent, so both long sides have the same length.

The Law of Cosines states:

c² = a² + b² - 2ab cos(C)

Where:

c is the length of the side opposite the angle C,

a and b are the lengths of the other two sides,

C is the measure of the angle opposite side c.

The short sides of the parallelogram are 12.0 cm, and the acute angle is 65°.

Applying the Law of Cosines to find the length of the long side:

[tex]L^2 = 12^2 + 12^2 - 2 * 12 * 12 * cos(65)\\L^2 = 144 + 144 - 288 * cos(65)\\L^2 = 288 - 288 * cos(65)\\L = \sqrt{(288 - 288 * cos(65))}\\L = 14.7 cm[/tex]

(rounded to the nearest tenth of a centimeter)

Thus,

The length of the longest side of the parallelogram is 14.7 cm.

Learn more about parallelograms here:

https://brainly.com/question/1563728

#SPJ4

8) A crew is made up of 8 men; the rest are women. 66% of the crew are men. How many people are in the crew?​

Answers

Answer:

12 crew members I think hope this helps :)

Step-by-step explanation:

☁️ Answer ☁️

12.

(66 2/3)

---------- (x) = 8

100

Solve for x

(66 2/3)x = 800

x = 800/(66 2/3)

x = 800/(200/3)

x = 800(3/200)

x = 4(3)

x = 12

Here's the link: https://www.wyzant.com/resources/answers/286307/a_crew_is_made_up_of_8_men_the_rest_are_women_66_2_3_are_men_how_many_people_are_in_the_crew

Hope it helps.

Have a nice day noona/hyung.

pls help asap; 40 pts

Answers

hope this helps!!!!!!!!

Answer:

(2.73, -0.73)

on the 3-days of their vacation the Davis family traveled 417 mi 45.3 mi and 366.9 mi how far did they travel all together

Answers

Answer:

829.2 miles

Step-by-step explanation:

To find how far they traveled in total, add together all of the distances:

417 + 45.3 + 366.9

= 829.2

So, all together, they traveled 829.2 miles

PLEASE HELPPPPPPPPPPPPP

Answers

Answer:

with what??????????????

Please help me with the question please ASAP

Answers

Answer:

The ratio of perimeter of ABCD to perimeter of WXYZ = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

First, we have to determine the multiplicative factor of the dimensions for both figures.

Considering sides AB and WX,

multiplicative factor = [tex]\frac{12}{8}[/tex]

                                = 1.5

So that:

XY = 6 x 1.5 = 9

YZ = 7 x 1.5 = 10.5

ZW = 7 x 1.5 = 10.5

Perimeter of ABCD = 6 + 7 + 7 + 8

                                = 28

Perimeter of WXYZ = 9 + 10.5 + 10.5 + 12

                                 = 42

The ratio of the perimeters of the two quadrilaterals can be determined as;

ratio = [tex]\frac{perimeter of ABCD}{Perirmeter of WXYZ}[/tex]

       = [tex]\frac{28}{42}[/tex]

       = [tex]\frac{2}{3}[/tex]

The ratio of the perimeter of ABCD to perimeter of WXYZ is [tex]\frac{2}{3}[/tex].

Help on here too plz there’s more in my acc I need help on all

Answers

x=2rad10
y=4rad5

it’s a 45-45-90 triangle so the two legs are the same. the equation for hypotenuse would be h=rad2 x leg. substitute; h=rad2 x 2rad10 = 4rad5

PLSSSS HELP IN NEED OF HELP IMMEDIATELY! (check whole picture and pls don’t leave a link)

Answers

It will be c because
C! Cuz tadpoles are producers living in water

what are three ways you can solve a proportion?

Answers

Answer:

horizontal

vertical

diagonal

Step-by-step explanation:

I guess I only know those.hope it helps you

Carrie sewed a square blanket with an area of 225 in^2
What is the length of each side of the blanket?
A. 56.25 in
B. 15 in
C. 112.5 in
D. 10 in

Answers

Answer:

The answer is A 56.25

Step-by-step explanation:

Since a square has 4 sides, divide 225 by 4 to get 56.25. To check your answer multiply 56.25 x 4 to get 225 in^2.

Hope this helps! Pls mark Brainliest!

Answer:

a.56.25

Step-by-step explanation:

Solve the system by graphing
y = -3/4x + 6
y = 2x - 5

Answers

Answer:

X= 4. Y = 3.

Step-by-step explanation:

If you have a graphing calculator, put the first equation into Y1. And second equation into Y2. Then, find the intersection of the two equations. That's how you find your answer.

Which of the following possibilities will form a triangle?

Question 4 options:

1)

Side = 15 cm, side = 6 cm, side = 8 cm

2)

Side = 15 cm, side = 6 cm, side = 9 cm

3)

Side = 16 cm, side = 9 cm, side = 6 cm

4)

Side = 16 cm, side = 9 cm, side = 8 cm

Answers

Answer:

Option 4

Step-by-step explanation:

The smaller sides must add up to be greater than the largest side so:

1) 6 + 8 < 15

1) No

2) 6 + 9 = 15

2) No

3) 9 + 6 < 16

3) No

4) 9 + 8 > 16

4) Yes

Someone pleaseeee help I really need this

Answers

Answer:

(x-5, y+7)

Step-by-step explanation:

If you start from one of the points on A, then you can see that A' moves 5 units to the left (x-5), and 7 units up (y+7).

hope this helped :)

In ΔJKL, the measure of ∠L=90°, the measure of ∠J=33°, and KL = 25 feet. Find the length of LJ to the nearest tenth of a foot.

Answers

Answer:

38.5

Step-by-step explanation:

JK and LM are perpendicular diameters of a circle. They are each 12 inches long. What is the approximate length of chord LK?

Answers

ANSWER:

I think the approximate length og chord Lk is around 8.5 inches long

I NEED HELP ASAP PLEASEEEEE!!!!! ONLY ON 9a ND 9b!!!!!!

Answers

9A:

The problem says 35% of the 3560 applications are from boys who lived in other states.

This can be expressed as:

3560*35% = 3560*0.35 = 1246 applications.

9B:

The problem says applications to the university (3560 applications) represented 40% of all applications.

This can be expressed as:

3560 = 40% * A, where A = number of applications received in all.

To find how many applications received in all, just solve for A.

A = 3560 / 0.4 = 8900 applications.

The key to these types of problems is that "of" signals multiplication. For example, 40% of all applications is 40% * all applications.


Yarely ordered a skateboard. There was a discount of 40% and the original price is
$60. What is the sale price?

Answers

Answer and working out attached below. Hope it helps.

THE FASTER THE BETTER PLEASE HURRY 10 POINTS

Answers

Answer:

48in^2

Step-by-step explanation:

The area of a triangle is calculated by the formula A= b*h1/2. Substitute b for 24, h for 4, and solve.

The volume of a sphere is 36π cubic inches. What is the radius of the sphere?

Answers

Answer 2.05

Step-by-step explanation: hope this helps

A breakfast chef used different amounts of milk when making pancakes, depending on the number of pancakes ordered. The results are shown below. What is the average amount of milk used for an order of pancakes.

Answers

Answer:

1/2c

Step-by-step explanation:

A breakfast chef used different amounts of ill when

making pancakes, depending on the number of panes ordered. The results are shown below.

1/2c, 1/4c, 1/2c, 3/4c, 1/2c, 3/4c, 1/2c, 1/4c, 1/2c, 1/2c

What is the average amount of milk used for an order of pancakes?

Average amount of milk used for an order of pancakes = {1/2c + 1/4c + 1/2c + 3/4c + 1/2c + 3/4c + 1/2c + 1/4c + 1/2c + 1/2c} ÷ 10

= {6(1/2c) + 2(1/4c) + 2(3/4c)} ÷ 10

= {6/2c + 2/4c + 6/4c} ÷ 10

= {3c + 1/2c + 3/2c} ÷ 10

= {(6+1+3) / 2}c ÷ 10

= 10/2c ÷ 10

= 5c ÷ 10

= 5/10c

= 1/2c

The average amount of milk used for an order of pancakes = 1/2c

5. What might be the dimensions of a
cylindrical container that holds 750 mL
of juice?

Answers

Answer:

radius of 10.9254843 and height of 10.9254843

Step-by-step explanation:

The equation for the volume of a cylinder is V = 2 pi r h

If V (volume) = 750, find for r and h

(I'm just going to make the radius and height the same thing)

750 = 2 pi r r

375 = pi r^2

119.366207 = r^2

10.9254843 = r

Find the value of x. Round to the nearest tenth .

Answers

Answer:

x = 7.2

Step-by-step explanation:

I am pretty sure this is right, but I apologize if I am wrong.

The riddle family income is 3400 per month. They spend 1088 per month on housing. Use information to determine the percent of the budget spent on housing

Answers

Answer:

32%

Step-by-step explanation:

[tex]\frac{1088}{3400}[/tex]=[tex]\frac{x}{100}[/tex]

(1088)(100)=(3400)(x)

108800=3400x

x=32

32%

The percent of the budget spent on housing is 31.76%.

What is percentage?

Percentage is a mathematical term which means number or ratio expressed in terms of fractions of 100. it can be calculated by dividing given value to the whole value and multiplied by 100. we represent it through ' %'.

Given that, The riddle family income is 3400 per month.

They spend 1088 per month on housing.

We know the formula for percentage which is;

Percentage = (given value/whole value)*100,

Percentage =  (1080/3400)*100

Percentage = 31.76

Hence, The percentage is 31.76%.

To learn more about percentage check:

https://brainly.in/question/33820520?

#SPJ5

Jonathan has a bag that contains exactly one red marble (r), one yellow marble (y), and one green marble (g). He chooses a marble from the bag without looking. Without replacing that marble, he chooses a second marble from the bag without looking. Which outcomes would be included in the sample space for Jonathan’s experiment? Select three options.
yy
gr
gg
rg
yr

Answers

Answer: The answers B,D,E are correct

Step-by-step explanation:

Answer: gr, rg, yr

Step-by-step explanation:

Diana looks up at an angle of 57 and sees a hot air balloon 150 meters away. To the nearest meter, what is the value of x,
the height of the hot air balloon above Diana's head? (Show work on paper)

Answers

Answer:

230.98 meters

Step-by-step explanation:

Answer:

126m

Step-by-step explanation:

Use sine because we want to find the opposite length but only know the hypotenuse.


HELP ME PLEASEEEEEE

Answers

It -3 correct answer

Answer:

-3

Step-by-step explanation:

The answer is -3 because it is the number on the x-axis

Other Questions
How did the tycoons use the ""Gospel of Wealth"" and Social Darwinism to explain keeping the wealthy rich and keeping the poor even poorer? The Great Depression was caused primarily by? A cars engine can deliver 300,000 watts of power to its wheels.A. If the engine acts for 6 seconds, what is the work done on the car?B. If the car travels 0.25 miles, what force acted on the car?C.If the cars mass is 1200 kg, what is the acceleration of the car? Miss Owens has a coupon for 40% off a pair of shoes she pays $111.79 for a pair of shoes and a dress after using the coupon. The dress costs $64.99. Which equation can be solved for x, the retail price of the shoes? The old man in a boat The double bar graph below shows the number of cups of coffee that a large random sample of people consumed, broken down by gender.What inference can be made based on this data?A - Men and women drink the same amount of coffee per day on average.B - More men than women drink at least two cups of coffee a day.C - Men drink more coffee per day than women on average.D - Women drink more coffee per day than men on average. . Compare and contrast the Great Mosque (figs. 10-11, 12, 13, 14) in Cordoba, Spain, with the Friday Mosque (fig. 10-15, 16, 17) in Isfahan, Iran. What are the stylistic design differences, including their plans, and how does each mosque reflect its time period and geographical location Which statement would MOST likely be made by a Quaker abolitionist in the build- up to the Civil War? The Highwayman by Alfred NoyesSequencing Assignment - Put the events into the right order by dragging them or cutting and pasting them.The Highwayman rides up to the inn to visit Bess.Bess is the landlords daughter.Bess hears the sound of the Highwaymans horse in the distance.At dawn he hears the news that Bess shot herself to save him.The Highwayman hears the shot and rides away.He sees the Highwayman arrive to see Bess.Now on a winters night the ghosts of Bess and the Highwayman appear.Bess watches through the day but the Highwayman does not come.Instead, King Georges men come to the inn.Then he kisses Bess before riding off into the night.She manages to get her finger to the trigger of the gun.The highwayman promises Bess he will return before tomorrow night is over.Tim the ostler loves Bess, and is jealous of the highwayman.To warn him not to come she shoots herself.He rides like a madman along the road, but the soldiers shoot him down.They tie Bess up to her bed.Bess tries to escape but her hands are tightly tied.I need help on this due today go to my next question to see the poem what is the defenition of allies help please will give brainliest Explain the positive and negative impacts of trade in the Kingdoms of Axum and Kush. Plz help this is half my grade Understanding the us government Structure and instructions Please give me the correct answer.Only answer if you're very good at English.Please don't put a link to a website.Second part of the story: With millions of people in the streets and his country essentially shut down, President Mubarak resigned on February 11.The protests had lasted only 18 days.Choose the MAIN text structure of the paragraph.Cause and EffectSequenceProblem and SolutionCompare and Contrast Simplify each radical expression, if possible 3v/7-5^4v/7 Which equation matches the graph?A) y=(x-1)(x-4)B) y=(x+1)(x+4)C) y=(x-1)(x+4)D) y=(x+1)(x-4) Greta bought a collar for her dog. Theoriginal price was $12 but she had acoupon for 10% off. How much moneydid she save? The outlier has the greatest affect on the ___________. 44/15 converted into a mixed number (convert a fraction into a decimal before converting it into a mixed number) Write an Extended response using evidence and information from you chart, explain how people and animals make sounds plzzzzzz i need help 5th grade iready textbook reading