10 examples of direct and Inverse variation from our daily life​

Answers

Answer 1

Answer:

Direct Variation:

The number of family members are directly expenditures.  The number of fruit in kg directly proportional to price of fruit.The number of selling products directly proportional to profit. The distance covered by body directly proportional to speed of bodyThe acceleration produce in car directly proportional to change in velocity The income is directly proportional to working hours. The cost of electrical bill directly proportional to number of fans running in    the house. The quantity of water fill in tank is directly to time for which the motor is switch on. The marks in study is directly proportional to hardworking. The bank balance is directly proportional to amount of saving.

Inverse Variation:

1. The bank balance is inversely proportional to expenditures.

2. The number of family members (which not work) are inversely proportional to amount of saving.

3.The working days required to complete the work are inversely proportional to number of labors.

4. The velocity of body is inversely proportional to time.

5. The acceleration is inversely proportional to time.

6.  The acceleration of body is inversely proportional to mass of body.

7. The number of student fail in the class is inversely proportional to number of qualify teachers and hardworking.

8. The battery power is inversely proportional to time for which it used.

9. The ability of do work hard is inversely proportional to age of man after youngness to onward.

10.  The number of mistake in work is inversely proportional to practice.

Explanation:

Direct Variation: A relationship where one quantity is a constant multiplied by another quantity is called direct variation.

Inverse Variation: Inverse variation is defiend as the relationship between two variables in which the resultant product is a constant. If a is inversely proportional to b, the form of equation is a = k/b, where k is constant. Inverse variation is known as the opposite of direct variation. If there an increas ein one variable, the other variable decreases in proportion so that the resultant product remains unchanged.


Related Questions

The radius of a circle is 1 mile. What is the circle's circumference? r=1 mi Use 3.14 forn. ​

Answers

Answer:6.28 miles

Step-by-step explanation:

The circumference of a circle = 2*pi*radius

= 2*1 mile* 3.14

= 6.28 miles

HELP!! DUE TODAY!!!! 10 Points.

Answers

Answer:

Tyra can make 54 batches of cookies

sorry if I'm wrong

Step-by-step explanation:

Which are perfect squares? Check all that apply.
•72
•36
•8
•16
•81
•64
•48

Answers

Answer:

64, 16, 36, 81

Step-by-step explanation:

[tex]\sqrt{16} = 4[/tex][tex]\sqrt{36} = 6[/tex] [tex]\sqrt{64} = 8[/tex][tex]\sqrt{81} = 9[/tex]

Answer:

Step-by-step explanation:

.36 = .6^2

.16  = .4^2

.81  = .9^2

.64 = .8^2

Find the difference (6x^3-5x^2+14x+3) — (3x^3–2x^2+7x—2)

Answers

3x ^3 −3x ^2 +7x+5 this should be correct

How to solve?somebody help and explain

Answers

Solve all or some of the answers

Part 1 of 12
The table below shows the length and weight of a species of fish. Complete parts (a) and (b).
Red Length (in.)
Weight (lb)
Fish Lengths and Weights
4
6
8
1.24 1.45 1.70
10
1.99
12
2.33
(a) Find an exponential model for the data.
1)
The exponential model for the data is y=
(Use integers or decimals for any numbers in the expression. Round to three decimal places as
Frr

Answers

The exponential function is given by y = 0.9(1.082)ˣ

Exponential function

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the fish weights at x inches.

Using point (4, 1.24):

1.24 = ab⁴   (1)

Using point (10, 1.99):

1.99 = ab¹⁰  (2)

From equation 1 and 2:

b = 1.082, a = 0.9

The exponential function is given by y = 0.9(1.082)ˣ

Find out more on Exponential function at: https://brainly.com/question/12940982

Fill in the table using this function rule.
y = 25 – 4x

Answers

To fill the table for the function we consider all values of x subbed in to the equation

y = 25 – 4x

Filling a graph table

Generally, To fill a graph table with an equation we are usually give the independent factor in this case is the values of x

Therefore, to fill the table for the function we consider all values of x subbed in to the equation

y = 25 – 4x

For more information on  Graph

https://brainly.com/question/14375099

Can u help me plssss?

Answers

Answer:

You need to find the area of this shape. You will split the shape into 2 the big rectangle and the small one sticking out of the bottom.

For the first shape, it is 11 x 3 = 33

For the second one, it is 2 x 3 = 6

33 + 6 is 39, so the area is 39

Find the area of a rectangle with sides of x – 1 and x.

Answers

Answer:

A = x² - x

Step-by-step explanation:

Find the area of a rectangle with sides of x – 1 and x.

A = w × l

A = x-1 × x

A = x² - x

19. Write an equation to represent the relationship
between x, the independent variable and y, the
dependent variable I need the equation

Answers

Answer:

  y = x +3

Step-by-step explanation:

When you examine the table, you see that each y-value is 3 more than the corresponding x-value. This is represented in the equation ...

  y = x +3

Please can anyone help me it's ur thinking

Answers

Answer:

Step-by-step explanation:

We simplify 16x - 12 - 24x + 4 as -8x - 8

1. 4+16x - 12(1+2x)
Break the bracket out, we get : 4+16x-12+24x
Simplify : -8 + 40x, not equivalent to -8x - 8.

2. 40x - 16

Divide this by 5, we get : 8x - 3.2 = -8x + 3.2 (not equivalent also.)

3. 16x - 24x - 4 + 12
Simplify : -8x + 8 (also not equivalent)

4. -8x-8
It's literally the same as the simplified form of the expression.

So, only the fourth expression is equivalent to the original one.

Please answer my question, its in the image.

Answers

Answer:

6 4/9

Step-by-step explanation:

[tex]\frac{4}{9} + 5 * 2 - 4[/tex] [tex]\frac{4}{9} + 10 - 4[/tex] [tex]10\frac{4}{9} -4[/tex] [tex]6\frac{4}{9}[/tex]

Answer:

6 4/9

Step-by-step explanation:

i hope this help have a nice day


PLEASE HELP EMERGENCY 50 POINTS

Answers

Perimeter of a rectangle:

2(2x+7+x-5)=2(3x+2)=6x+4

Perimeter of a triangle:

x+2x+2x+11 = 5x+11

6x+4=5x+11

x=7

6 more than the square of r is same as 33 .

Answers

Answer:

r^2+6=33

Step-by-step explanation:

The square of r means r^2 and 6 more means +6, so r^2+6=33

Tell how much each person gets when they share equally.


3 friends share 5 pounds of trail mix.

Answers

Answer:

1.7 pounds each friend gets

Step-by-step explanation:

[tex]3 \: friends \: share \: 5 \: pounds \: of \: trail \: mix \\ 5 \: pound \: \div 3 \\ = 1.66666666666 \\ approximately \\ = 1.7(to \: 1 \: decimal \: place[/tex]

Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10. –10 < |3x – 5| < 10 3x – 5 > –10 or 3x – 5 < 10 3x – 5 < –10 or 3x – 5 > 10 –10 < 3x – 5 < 10.

Answers

The compound inequality solving original inequality  |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]

What is magnitude and sign?

A number has both magnitude(its absolute value) and its sign(positive or negative).

If numbers are negative, the more their magnitude increases, the lesser they become.

If numbers are positive, the more their magnitude increases, the greater they become.

Thus, for -5, the magnitude is 5, and sign is –ve.

Also, positive numbers > 0 > negative numbers.

|x| = magnitude of x.

Thus, |3x-5| > 10 is true if (3x-5)  < -10 (since in that case, 3x-5 is negative but in negative signed values, values with more magnitude are smaller. Thus |3x-5| > |-10} = 10)

or (3x-5) > 10

(in case if (3x-5) is non-negative).

Thus, the compound inequality solving original inequality  |3x – 5| > 10 is given by: Option C: [tex]3x - 5 < -10[/tex] or [tex]3x -5 > 10[/tex]

Learn more about compound inequalities here:

https://brainly.com/question/4688732

Answer:

it’s C trust me

Step-by-step explanation:

A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32. What is the volume of the dilated prism? Enter your answer, as a decimal, in the box. M³.

Answers

The volume of the dilated prism when the dimensions are dilated by a factor of 32 is 393,216 m³.

What is dilation?

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Given

A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32.

The area after the dilation.

Dilated area = (Dilation)² x base area

Dilated area = 32² x 3

Dilated area = 3072 m²

The height after the dilation.

Dilated area = Dilation x base area

Dilated area = 32 x 4

Dilated area = 128 m

The volume of the dilated prism.

Volume = 3072 x 128

Volume = 393216 m³

The volume of the dilated prism is 393,216 m³.

More about the dilation link is given below.

https://brainly.com/question/8652140

Answer:

40.5

Step-by-step explanation:

The person who commented on the first answer is correct. I took the quiz.

:)

The points (0,5) and (1.8) fall on a particular line. What is its equation in slope intercept form?

Answers

y = mx + b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

A pen costs twice as much as a pencil. If 7 pens and 12 pencils cost $6.50, find the cost of a pencil.

I know the answer (pencil $0.25, pen $0.5), but I need to figure out how the answer is solved.

Answers

1. Observe the problem

2. Make a system of linear equations

x is pens

y is pencil

As stated in the text, x=2y

x=2y

7x+12y=6.50

Using substitution,

7(2y)+12y=6.50

14y+12y=6.50

26y=6.50

y=0.25

Substituting it back into the first equation:

x=2(0.25)

x=0.5y=0.25

What is the value of the missing angle?

Answers

Answer: 60 degrees

Step-by-step explanation:

Angle sum of a triangle: 180 degrees

70+50=120

180-120=60

Straight line: 180 degrees

180-60=60 degrees

Answer:

120

Step-by-step explanation:

Add all the inner angles, 70+50=120. 180-120 = 60. The angle is a supplementary angle, so 180-60 = 120.

To prepare for a bake-off, Lee used 640 grams of flour each day for 4 weeks. How many kilograms did Lee use in those 4 weeks?

Answers

1week = 7days so
4weeks = 28 days
So 28 x 640 = 17920

1000grams = 1kg

17920 divide 1000 =17.92

Lee uses 17.92kg in those 4weeks

PLEASE HELP W THIS WILL GIVE BRAINLIST TO BEST ANSWER AND EXTRA POINTS
!!!!!ONLY A!!!!

Answers

Answer: 1545

Step-by-step explanation: not 100 but i hope this helps you :D

The table shows the prices for Two packs of batteries which park is better buy explain your reasoning

Answers

Answer:

A=0.61:1 B=0.65

Step-by-step explanation:

B is the better deal.

Guys helpp!

Choose the first step to Graph The equation Y equals 3x +2

Answers

2 is the y-intercept so plot that on the graph

2p^1/3=6 find the value pf p

Answers

Answer:

27

Step-by-step explanation:

Im having a rough day so just please dont put links or files..

Answers

Answer:

The answer is 9

Step-by-step explanation:

I hope you have a better day! ;)

Answer:

9

Step-by-step explanation:

Because 3^2 is 3*3

that gives you 9

what’s the answer to this problem?

Answers

Hey there!

2^5 /6^5


2^5

= 2 * 2 * 2 * 2 * 2

= 4 * 4 * 2

= 16 * 2

= 32


6^5

= 6 * 6 * 6 * 6 * 6

= 36 * 36 * 6

= 1,296 * 6

= 7,776


= 32 / 7,776

= 32 ÷ 32 / 7,776 ÷ 32

= 1 / 243

≈ 2^5 × 6^-5


Therefore, your answer is: 2^5 × 6^-5

(Option D.)


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Six gallons of water splashed out of the wading pool when Santa jumped in. Five gallons splashed out when Mrs. Claus jumped in beside Santa. What number should be added to the original amount in the pool to find how many gallons are left?​

Answers

Answer:

x + (-11)

Step-by-step explanation:

so you lost the 6 gallons and 5 gallons. so to find the original amount (I will use x). you need to subtract it from the amount. but since you are being asked to add. you use a negative

x + (-6) + - (5)

or you can combine

x + (-11)

it is equivalent to

x - 11

Simplify 5x + 2x + 7x.


(14 x) 3

14 x

14 x 3

Answers

Solution:

Combine like terms and solve the expression.

=> 5x + 2x + 7x=> x(5 + 2 + 7)=> x(14)=> 14x

The solution to the problem is 14x.

Answer:

14x

Step-by-step explanation:

5x + 2x + 7x ← factor out x from each term

= x(5 + 2 + 7)

= 14x

What is the value of 1500 ÷ (62 + 4 ) · 37

Answers

Answer: 27750/31

Step-by-step explanation:

We first solve for what's in the parenthesis.

= 1500/66*37

Next we do division.

= 750/31*37

Lastly we do multiplication.

= 27750/31

Answer:

0.61425061425

Rounded: 0.61

Step-by-step explanation:

Following PEMDAS

(62+4)=66

66 times 37= 2442

1500 divided by 2442

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