How do you solve direct and inverse proportion questions?

Answers

Answer 1
Inverse proportion is defined as y = k/x, in which x and y are two numbers that are in inverse proportion.When the ratio x:y is constant, two values, x and y, are described as being directly proportional to one another.Method to solve direct and inverse proportion are:

Direct Ratios and/or Variations

If the ratio of two values, x and y, is constant, then they are directly proportional to one another (which always remains same). This would imply that x and y would either change in tandem or separately by a fixed amount that doesn't affect the ratio.

Indirect proportions, inverse proportions, or variations

When the product of two values, x and y, is a constant, they are inversely proportional to one another (always remains the same).Accordingly, as x rises, y falls, as well as opposite, by a certain quantity such that x and y remain constant.Forming an equation to predict the value of an unidentified variable is also made possible by understanding that the product doesn't quite change.

Thus, Inverse proportion is defined as y = k/x, k is the proportionality constant .

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Related Questions

If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answers

Answer:

16.6

Step-by-step explanation:

somtimes you gotta pay attention to you're math teacher

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Hypotenuse² = Base² + Length²

The height of the building is 32.8 feet

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building.

This can be written as,

Hypotenuse = 26 feet

Base = 20 feet

Height = height of the building

Now,

Applying the Pythagorean theorem.

Hypotenuse² = Base² + Length²

26² = 20² + Height²

Height² = 676 + 400

Height² = 1076

Height = √1076

Height = 32.8 feet

Thus,

The height of the building is 32.8 feet

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Find the value of 4 of 5 of 1000
25 4
with step by step explaination please thank you​

Answers

Answer:

4 of 5 = 4/5

4/5 of 1000 = 1000/5×4 = 200×4 = 8004/5 of 4 = 4/5×4 = 16/5 = (3.2)4/5 of 25 = 25/5×4 = 5×4 = 20

A fair coin is flipped twice. H is recorded for heads and T for tails after each flip. The notation for conditional probability is ​P(H on 2nd flip|H on 1st flip)​. Which notation is the probability of the two events being not independent?

Answers

Answer:

The Notation for each event Not been independent = P( HT ) or P( TH )

Step-by-step explanation:

when A fair coin flipped ; P( H ) = 0.5 and P( T ) = 0.5

Hence when it is flipped twice the possible outcome = 4

= HH , HT , TT, TH

Since Notation for conditional probability = P ( HH )  this shows that each flip is independent

The Notation for each event Not been independent = P( HT ) or P( TH )

Answer: P(H on 2nd flip|H on 1st flip)=P(H on 2nd flip)

Step-by-step explanation:

what is the slope of the line that passes through the points (5,-5)and(4,2)​

Answers

Answer:

-7

Step-by-step explanation:

To find the slope of an equation, you need to plug the coordinates into the slope formula.

y2 - y1/ x2 - x1

2 - (-5) / 4 - 5

= 7 / -1

= -7

25 points and brainiest

2. If you get paid hourly, making $1000 a week, but work 65 hours per week how much are you making hourly?

3. If you get paid hourly, making $25.00 an hour, but work 20 hours’ overtime per week, what is your weekly pay?

4. If you get paid hourly at a job making $25.00 an hour, but have to call in sick for one day of work, how much would you get paid at the end of the week assuming you normally work 40 hours and get no sick leave.

Answers

2. $1000/65hrs = $15.38 per hour

3. Assuming that you get time and a half for OT.
$25 x 45hrs + 1.5(20hrs x $25)
= $1125 + $750
=$1875

4. You lose 8 hrs pay. So you only work 32 hrs.
32hrs x $25 = $800

1. 48 cm
2. 30 cm
3. 24 cm
4. 54 cm
what's the answer​

Answers

Step-by-step explanation:

The answer is definitely 2.

which is 30 cm

Anna's toy car traveled 0.7 meters. Hector's toy car traveled 0.72 meters. Whose car traveled farther?

Answers

Answer:

hector's toy

Step-by-step explanation:

it traveled .02 m farther

Answer:

Step-by-step explanation:

Think money

which is more 70 cents or 72 cents?

The answer should be 72 cents.

So .72 - .70 = 0.02

.72 is larger.

the letters in the word “SOCCER” are cut apart and placed in a bag. one letter is drawn from the bag. what is the probability of the choosing letter c?

Answers

Answer:1/3

Step-by-step explanation: You have 6 letters in SOCCER. There are 2 letters that are in the word soccer that are C. So, 2/6 would simplfy to 1/3 which would mean that you have a 1/3 chance of getting the letter c

The equation of the line shown in the graph is y = ?.

Answers

Answer:

y=5x-5

Step-by-step explanation:

we start from -5 and go rise/run so its 5

9c + 1 > 10 .
i don’t get this

Answers

Answer:

c>1

Step-by-step explanation:

9c>10-1

9c>9

9c/9>9/9

c>9/9

so,

c>1

Hope that helps!

Plz mark brainliest

Find the volume of the figure below. Leave your answer in terms of  π. ​

Answers

Answer: 1539π cubic inches.

Step-by-step explanation:

In the figure, we have a hemisphere joined with a cylinder of the same diameter 18 inches.

Radius = 9 inches   (half of diamter)

Volume of hemisphere = [tex]\dfrac23 \pi r^3[/tex]

Volume of cylinder = [tex]\pi r^2 h[/tex], where r= radius h= height

Volume of hemisphere= [tex]\dfrac{2}{3}\pi (9)^3=486\pi in.^3[/tex]

Volume of cylinder = [tex]\pi (9)^2 (13)=1053\pi\ in.^3[/tex]

Combined volume = 486π+1053π=1539π cubic inches.

Hence, the volume of the solid = 1539π cubic inches.

9 4/5 divided by 3 2/11

Answers

17.966666 I’m pretty sure lol

Angles in circle solve for each variable

Answers

Answer:

Step-by-step explanation:

Please help me it’s due in 1 hour

Answers

Answer:

There were 39 children at the party

Step-by-step explanation:

Here, we want to know the number of children at the party

To do this, we have to add the y-values ( frequencies of the age grades)

We have this as;

8 + 8 + 7 +10 + 6 = 39

Which of the following is the complex conjugate of 8- 3?


8- 3
8+3
8 3
3+ 18

Answers

Answer:

8 + [tex]\sqrt{3}[/tex]

Step-by-step explanation:

A complex conjugate is found when the signs differ, but the numerical elements remain the same.

The Venn diagram shows the results of two events resulting from rolling a number cube.



Events C and D are____.

conditional and dependent
independent
dependent
conditional

Answers

Events C and D are conditional and dependent events.

What can we say about events C and D?

By looking at the Venn diagram, we can see that C is the event where the outcome of the dice is even.

While D is the event where the outcome is odd.

So events C and D have no common elements.

Now, the value of these events is related in any way?

if C is true (the number is even) then D must be false.If C is false, then D must be true.

Then the events are dependent and conditional, the correct option is the first one.

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Anyone know how to do this?

Answers

Answer:

y = -1/2 x + 25

The relationship is linear, but it takes some doing.

Step-by-step explanation:

Remark

This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.  

You have to introduce another variable which I labeled as z.

Let time = x

Let distance = y

Let the step away from the starting point = z   which will be the same for x and y. So 18 and 16 the step away from the start is 3.

So as the time increases, the distance decreases.  What we are going to do sort of resembles a parametric relationship.

t starts with 10

x = 10 + 4*(z - 1)   and increases by 4 with each step

d starts with 20 and decreases by 2 with each step

y = 20 - (z - 1)*2

Now solve for z in each of the forgoing equations.

x = 10 + 4z - 4

x = 6 + 4z

x - 6 = 4z

(x - 6)/4 = z

y = 20 - 2z + 2

y = 22 - 2z

y - 22 = - 2z

(y - 22)/-2 = z                    

Since the zs must be kept the same, the left sides are equated

(x - 6)/4 = (y - 22)/-2               Cross multiply

-2(x - 6) = 4(y - 22)                 Remove the brackets.

-2x + 12 = 4y - 88                   add 88 to both sides.

-2x + 100 = 4y                        Switch the sides

4y = - 2x + 100                       Divide by 4

y = -1/2 x  + 25

Now for sure you have to try this.

Let x = 14

y = -1/2 * 14 + 25

y = -7 + 25

y =  18

Try another one

Let x = 22

y = -1/2 * 22 + 25

y = - 11 + 25

y = 14

Those two at least check.

HELPPP WILL MARK BRAINLIEST

Answers

Answer:

7 1/6

Step-by-step explanation:

Area is length x width

Find area of 1 container:

Area = 5 1/2 x 1 2/3 = 11/2 x 5/3 = 55/6 = 9 1/6 square yards.

Multiply the area on 1 container by total containers (9)

9 1/6 x 9 = 55/6 x 9 = 495/6 = 82 1/2 square yards

The answer is 82 and 1/2 square yards

WILL GIVE BRAINLIEST Divide

Answers

Answer:

38/5

Step-by-step explanation:

Answer:

[tex]\frac{38}{15}[/tex] or/and [tex]2 \frac{8}{15}[/tex]

Step-by-step explanation:

BRAINLY TO WHOEVER CAN HELP PLS OMG ASAP

Answers

Answer:

1: C

2:A

Step-by-step explanation:

Dialation is just the multiplucation of the size. If the original point is 2, 4 dialated to 2 is would be 4, 8. Basiccly just multiply by 2 in this example.

Find the perimeter of the figure.​

Answers

Just add up all the sides

Answer:

97

Step-by-step explanation:

The perimeter is adding each side together, the equation is 3+33+15+33+3+10

work out the median, range and mode​

Answers

median= 7 middle part

range=7 because 8-1 or highest minus lowest numbers

mode= you got the answer

Find the missing angle.

Answers

Answer:

0.76 or 0.8

Step-by-step explanation:

Amelia has 3 gallons of paint .Mason have 10 quarts .How many more pints of paint does AMELIA have then mason.

Answers

Answer:

4 Pints

Step-by-step explanation:

According to the scenario, calculations are as follows,

As we know, 1 gallon = 8 Pints

1 Quarts = 2 Pints

So, Amelia = 3 Gallons = 3 × 8 Pints = 24 Pints

Mason = 10 quarts = 10 × 2 Pints = 20 Pints

So, Number of more pints Amelia has = Amelia number of pints - Mason number of pints

= 24 pints - 20 pints

= 4 Pints  

Please help if I don’t pass I’ll have summer school

Answers

Answer:

The second one

Step-by-step explanation:

A visual for law of sines can be found below

Sin (an angles) over its opposite side length is equal to sin ( a different angle) over its opposite side length

In the given triangle we are given side length BC and side length AB

we are also given AB's opposite angle  (40)

And we need to find side length BC's opposite angle (A)

That being said we are given enough information to set up an equation using the law of sines

Remember angle A's opposite side length is 16 and the angle that has a measure of 40 degrees' opposite side length is 12

so the equation would look like...

[tex]\frac{sin(40)}{12} =\frac{sin(A)}{16}[/tex]

8) Crystal and Kelly are selling pies for a school fundraiser. Crystal sold 12 apple pies and 9 lemon meringue pies for $129. Kelly made $92 by selling 5 apple pies and 8 lemon meringue. Find the cost of one apple pie and one lemon meringue pie.​

Answers

Apple pie= $4 Lemon meringue=$9

PLEASE HELPPP!!
the two triangles below are similar! everything is in the picture please help

Answers

The dilation is 4, we look at the two sides that are equal that are 32 and 8, then we fraction them so it becomes 32/8 which leaves you with the simplified answer of four

x - 10.2 > 5.3
PLSSSSSS HELP ME SOLVE THIS PROBLEM!!!!...

Answers

Answer:

x>15.5

Step-by-step explanation:

x - 10.2 > 5.3

Add 10.2 to both sides

x-10.2+10.2>5.3+10.2

Simplify getting the answer of

x>15.5

PLEASE HURRY AND ANSWER SOMEONE Decide if the relation is a function or not.


Ordered Pairs:


(2,1), (2,-5), (0,-7), (3,2)

Answers

Not a function no alike pattern between c and y

Pls help Im stuck brainliest and 5 star rating !!!!!!!!!!!!!!!!! :::::::::::)))))

Answers

I am going from left to right.
11, 20, 31, 13, 35, 100
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