direct and inverse variation

Direct And Inverse Variation

Answers

Answer 1

Answer:

4 workers can do the job in 18 days.

Step-by-step explanation:

The number of days d varies inversely as the number of workers.

We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]

where k is constant of proportionality

We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.

d = 9, w = 8

d = 18, w =?

First we will find value of k when d = 9, w =8

[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]

The value of k, will remain same as it is constant.

We get k = 72.

So, Now we have d = 18, k = 72 and we need to find w

[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]

So, 4 workers can do the job in 18 days.


Related Questions

I need help- I’ll give brainlist if it’s right

Answers

Answer:

D.  x>[4]

Plzzzzz give me Brainliest!!!!!  

Answer:

D. x > 4

Step-by-step explanation:

You have to do the opposite operations to get the variable on one side of the equation by itself.

4 - x + 4 = 8 - 4

x = 4

You only switch the comparison sign if you mutliply or divide by negative numbers when you do opposite operations to get the variable on one side of the equation by itself.

I hope this helps!

For what value of x must ABCD be a parallelogram?

Answers

Answer:

yes it could be

Step-by-step explanation:

Answer:

5x = 6x-7 subtract 6x from each side-x=-7x=7

Consider two people where one person is 25% taller than the other but proportion in exactly the same way That the taller person looks like a lager version of the shorter person Suppose the shorter person has a 36%-inch waist what size is the the taller person's waist?

Answers

Answer:

46.8 inches

Step-by-step explanation:

Taller person = 30% more than height of shorter individual

Waist size of shorter person = 36 inches

Since they are proportioned in the same way:

Waist size of the taller person will be 30% larger than the waist size of the shorter person :

30% increase in size 36

(100 + 30)% of 36

130% of 36

(130 / 100) * 36

1.3 * 36

= 46.8 inches

Kristen invested $1,800 in an account paying 6.5% simple interest. After 5 years, what is the balance of her account?

Answers

Answer: 2,385

Step-by-step explanation:

A House needs to some maintenance one sink is dripping water every 10 minutes and the other sink is dripping every 12 minutes if both sink dripped at the same time how many minutes until they both drip at the same time again

Answers

Answer:

60 minutes

Step-by-step explanation:

We solve this question using Lowest Common Factor method

Find and list multiples of each number of minutes( 12 and 10 minutes) until the first common multiple is found. This is the lowest common multiple.

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80

Multiples of 12:

12, 24, 36, 48, 60, 72, 84

Therefore,

LCM(10, 12) = 60

The number if minutes until they both drip again is 60 minutes

Please help ASAP!!!!

Answers

Answer:

(-2, 0, 1, 3)

Step-by-step explanation:

From the given graph, there are four x-intercepts, which are the points the graph crosses the x-axis

Taking the y-axis as the given vertical line, and each demarcation as representing one unit division, we have;

The x coordinates of the x-intercepts are given as follows;

1) Two lines to the left of the origin which represents "-2"

2) Through the origin, which represents "0"

3) One line to the right of the origin which represents "1"

4) Three lines to the right of the origin which represents "3"

The set of values that represents the x-intercepts of the function are;

(-2, 0, 1, and 3)

Find parallel lines which pair of line are paraelle

Answers

Answer:

Parallel lines are like a square. all sides of a square are parallel.

Step-by-step explanation:

Answer:

Parallel lines are lines that will never clash into one another. Like a rectangle is a shape with parallel lines.

Step-by-step explanation:

please hakdshfkasdjf;kajsd;kfjas;kdfjaksjdfklasjdfkljhklajsdflkajsdklfajskjd;hfjalsdf;asdkfj;aksfasdfad;s;fasdfddddddddddddddddddddddddddddddddddddddd

Answers

Answer: gtne

Step-by-step explanation:

Aileen has a total debt of $45. She is trying to pay back $6 each week for the next 4 weeks. If Aileen is successful, which amount will represent the change in the amount of her debt?​

Answers

Answer:

$-21

Step-by-step explanation:

Since she is paying $6 for 4 weeks, in total she will pay:

6 x 4 = $24

She has an initial balance of $-45 Because she is in debt

Therefore you just need to add it all up

-45 + 24 = $-21

Answer:

-24

Step-by-step explanation:

6 x (-4) = 24

Round off 3.447 g to the nearest 1/100 g
pls help

Answers

Answer: 3.55 g

Step-by-step explanation: 3.447 g rounded to the nearest 1/100 g is 3.55 g.

Hint: nearest 1/100 g also means nearest hundredth!

does this graph represent a function? if yes why?

Answers

Yes, it is a function because each member in the domain is assigned to exactly one member in the range

A livestock pen is built in the shape of a rectangle that is four times as long as is wide. The total perimeter is 60 ft. Write an equation that models the perimeter in terms of width and/or length, find the length and width.

Answers

Answer:

Perimeter = 60ft = 2(4x + x)

breadth = 6ft

length =  24ft

Step-by-step explanation:

Perimeter = 2 (L + B)

L =length

B = Breadth

x= breadth

4x = length

Perimeter = 60ft = 2(4x + x)

Dividing both sides by 2 :

30ft= 4x + x

30ft = 5x

divide both sides by 5

6ft= x

breadth = 6ft

length = 4x= 4 x 6 = 24ft

simplify it using order of operations



Answers

Answer:

=106

Step-by-step explanation:

PMDAS

First thing you do is the parenthesis

6+4(5)^2

then the exponent

6+4(25)

then multiply

6+100

then add

106

Hope this helps (:

Answer:

150

Step-by-step explanation:

First do what is in the parenthesis:

(2+3)

(6)

Then exponents:

[tex](6)^{2}[/tex]

(36)

Then Multiplication:

4(36)

144

Then Add:

144+6

150

PLS I NEED HELP ASAP!! WILL GIVE BRAINLIEST

Answers

Answer:

x over 2

Step-by-step explanation:

Slope:
Y-Intercept:
Equation:

Answers

Slope: 3/2.
Y intercept: -3
Equation: Y=3/2x-3

Help it's due in 20 minutes !!

Answers

Answer:

ok

Step-by-step explanation:

hmm chemistry nice bro

thags chemistry not maths

v / -0.8 +14=39 plssss help this is literally so hard ​

Answers

Answer: [tex]\boxed{\boxed{\sf~v=-20}}[/tex]Solution Steps:

______________________________

1.) Subtract 14 from both sides:[tex]14-14=[/tex] Cancels Out[tex]39-14=25[/tex]

 - We do this because we have to get 2 variables/numbers on each side of the equals, and the only way to do so is to cancels other numbers out by doing the opposite of what we see.

Equation at the end of Step 1:

[tex]v[/tex] ÷ [tex]-0.8=25[/tex]

2.) Multiply both sides by −0.8:[tex]-0.8[/tex] × [tex]-0.8=[/tex] Cancels Out[tex]25[/tex] × [tex]-0.8=-20[/tex]

______________________________

You went to BW3, your total bill was $56.47, if you want to give an 18% tip, what's your final bill?

Answers

Answer:

The answer is 66.6346 round it to what ever place you need to.

Step-by-step explanation:

Take the 56,47, multiply it by .18, and add that value to 56.47 Hope it helps

The guy above me is right

Which type of transformation is shown in the figure on
the left?
O translation
O reflection
O rotation
O dilation
The answer is reflection

Answers

yea the answer is reflection

The type of transformation that's shown in the figure on the left is; reflection

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs,

A reflection is defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis such as; if we're seeing it in a mirror.

We will find that its symmetric, thus each point is equidistant from the axis of reflection such that of the image of that point.

The answer is; reflection

Learn more about reflection here;

https://brainly.com/question/28186407

#SPJ6


What is the radical form of the expression
2 3/4

Answers

this is the answer i didn’t know how to type the answer
Top comment is correct

Identify the correct Triangle Congruence Theorem that describes the figure below.


A. SAS
B. ASA
C. AAS
D. SSS
E. HL

Answers

Answer:

ASA

Step-by-step explanation:

Don't worry I just know

Pls help and show workings
Option
A. 7
B. 10
C. 13
D. 22

Answers

Answer:

It would be C. 13

Step-by-step explanation:

if you line up the two lines of n and 13cm they aren't equal so I would have to say 13. sorry if I'm wrong

The table shows the amount of apple sauce made from one apple of each size. Patrice has 17 medium apples and 23 large apples. What is the total amount of apple sauce that she can make with these apples? here's the table:

Apple size: small medium large


1/3 cup 1/2 cup 3/4 cup

Answers

Answer:

uhhhhh 75

Step-by-step explanation:

Use the replacement set {4, 8, 21} to find the solution of the equation
7n - 4 = 24.

Answers

Answer:

n=4

Step-by-step explanation:

7n - 4 = 24

24 + 4 = 28

7n = 28

n = 4    

OR  plug in the sets you gave and see if they equal 24

Find the missing value of the variable
55°
x + 74
54°

Answers

Answer:

x = -3

Step-by-step explanation:

55 + 54 = 109

109 + 74 = 183

Triangles = 180 degrees

So, 74 - 3 = 71

And 55+54+71 = 180

Hi another math question please help:)

Answers

Answer:

1). Yes

2). Yes

3). No

Step-by-step explanation:

1). y = 3

  We can rewrite this equation in the slope-intercept form as,

   y = 0.x + 3

  Here, slope = 0

  y-intercept = 3

  Therefore, it's a linear relation.

  YES.

2). 2x - 5y = 10

   5y = 2x - 10

   y = [tex]\frac{2}{5}x-2[/tex]

   Therefor, it's a linear function.

   YES

3). y = x(x + 3)

   y =x² + 3x

   Since, this equation is a quadratic equation,

   It's not a linear function.

   NO

Merry has a pipe that she wants to cut into 4 pieces. If the pipe is 26 2/3 feet long, how long should she cut each piece?

Answers

Answer: 6 2/3 ft

Explanation:

1. Turn the mixed number (26 2/3) into an improper fraction by multiplying 26 by 3 and then adding 2. (26x3=78)(78+2=80=80/3)

2. Now divide 80 by the number of pieces she’s cutting (4). (80÷4=20)

3. Now divide 20 by the denominator (3) to convert it back into a mixed number. (20÷3=6 2/3)


Find the value of X, Y, Z

Answers

Answer:

Answers are in photo

Step-by-step explanation:

Do it in terms of ratio

marking Brainlist 7-9g+3g

Answers

Answer:

7-6g

Then you do the 1 step equation.

Divide both sides by 6.

1.16=g

I'm not sure if it's right.

45% of a number is 34. Find the number.

if you could explain that would be great thx!!!

Answers

Step-by-step explanation:

45% of number = 34

100% of number = 34 * (100/45) = 680/9.

The number is 680/9.

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