The time to complete a building project is inversely proportional to the number of people working on the job it takes 30 days for 6 workers to complete the job. If they need to complete the job in 20 days, how many workers will they need?

Answers

Answer 1

Answer:

[tex]4[/tex]

Step-by-step explanation:

if 30days =6workers

20days =?

[tex] = \frac{20 \times 6}{30} \\ = 4[/tex]

Answer 2

Proportions can be inverse, direct, joint or combined.

They need 9 workers to complete the job in 20 days

Represent time with t, and the workers with w.

So, the proportional relationship is:

[tex]t\ \alpha\ \frac 1w[/tex]

Express as an equation

[tex]t\ =\ \frac kw[/tex]

Where k represents the proportionality constant

Make k the subject

[tex]k =wt[/tex]

6 workers complete the job in 30 days.

This means that: w =6, and t =30

So, we have:

[tex]k =6 \times 30[/tex]

[tex]k =180[/tex]

Substitute 180 for k in [tex]k =wt[/tex]

[tex]180 = wt[/tex]

In 20 days. we have:

[tex]180 = w \times 20[/tex]

Divide both sides by 20

[tex]9 = w[/tex]

Rewrite as:

[tex]w = 9[/tex]

Hence, they need 9 workers to complete the job in 20 days

Read more about proportions at:

https://brainly.com/question/14251450


Related Questions

Heeeeeeelp pleaaaaaaseeee

Answers

The answer to that question is B

I really need help with this assignment!

Answers

Answer:

hold up Im bout to help u give me a sec

Step-by-step explanation:

but yea imma see how this go let me read and I got u

Profit is the amount of money that remains after all expenses of a project have been paid. The year has just​ ended, and Ajax​ Construction's owner is anxious to find out if the company had a profitable year. The company was awarded five contracts totaling​ $7,435,000. The costs associated with each project​ were: Project​ 1: $1,245,000 Project​ 2: $985,689 Project​ 3: $1,723,000 Project​ 4: $2,567,054 Project​ 5: $633,768 How much profit did the company​ earn?

Answers

Answer:

the Profit earned by the company is $280,489

Step-by-step explanation:

Total Cost of 5 projects awarded = $7,435,000

Cost of Project​ 1 = $1,245,000

Cost of Project​ 2 = $985,689

Cost of  Project​ 3 = $1,723,000

Cost of Project​ 4 = $2,567,054

Cost of Project​ 5 = $633,768

We need to find the profit earned by the company.

First we need to find Total cost spent on all 5 projects.

It can be found by adding cost spent on all projects.

Total cost spent on all 5 projects = Cost of Project 1 + Cost of Project 2 + Cost of Project 3 + Cost of Project 4 + Cost of Project 5

Total cost spent on all 5 projects = $1,245,000+ $985,689 + $1,723,000+ $2,567,054 + $633,768

Total cost spent on all 5 projects = $7,154,511

Now we can calculate profit earned using formula:

Profit earned = Total Cost of 5 projects awarded - Total cost spent on all 5 projects

Profit earned = $7,435,000 - $7,154,511

Profit earned = $1,280,489

So, the Profit earned by the company is $280,489

It costs $7.75 to enter an arcade and $0.25 to play an arcade game. You have $8.25. Write an
equation that represents the number g of games you can play.
An equation is = 8.25.

Answers

Answer:

0.25g+7.75 less or equal to 8.25

Step-by-step explanation:

Answer:

The equation can be written as 7.75+0.25g=8.25 and in this case g would represent 2  

Step-by-step explanation:

Write an equation in slooe intercept form for the line that is parallel to y=-4x-3 and passes through the point (-2, 4).​

Answers

Answer:

y=-4x-4

Step-by-step explanation:

m=-4

point(-2,4)

y-4 = -4 (x- (-2) )

y-4 = -4 (x+2)

y-4 = -4x -8

y = -4x -4

Step-by-step explanation:

we are going to use quadratic equation for this particular question . so now we are going to change the signs i.e from negative to positive or from positive to negative(-2 will turns to +2) nd +4 will turns to-4)

therefore, (x+2)(x-4) then we na expand the bracket x(x-4)+2(x-4)

x square -4x+2x-8

therefore the equation is nothing but x square-2x-8

Help guys, I’m sure it’s easy for y’all

Answers

Answer:

(x, y) -------- ( -x,-y)

Rule : Rotation center (0,0) , angle of rotation 180° or -180°

Step-by-step explanation:

The vertices of the object and image have coordinates at ;

D(-4,2), --------D'( 4,-2 ),

E (-1,3), --------E'( 1,-3 ),

F (-1,-3),--------F'(1,3),

G (-3,-4),------G'( 3,4 ),

You notice that after the rotation ;

( x, y )-------change to (-x,-y),

This rule is rotation center origin angle 180°

There are 40 marbles in a bin and 25% of the marbles are red how many in the bin are red

Answers

10 marbles are red.
25% of 40=10

Answer:

10 marbles

Step-by-step explanation:

25% * 40= 1000

1000/100=10

=10 marbles

Solve the equation and determine how many solutions for the equation.

4c-20=-20+4c

Answers

Answer:

16c

Step-by-step explanation:

Does the point (8,0) lie on the line represented by 3x + 2y = 16?
O True
False

Answers

Answer:

false

Step-by-step explanation:

(0,8) is on the line, not (8,0) :)

A family went to a baseball game. They spent $25 to park the car in a parking lot and $24 per ticket. Which equation represents x, the total number of people going to the baseball game if the family spends y, $145 total?

Answers

There was 6 people in to total

Imagine that you are of traditional college age and you apply for a direct marketing position, and in the interview for the position, you are told that you look to young for the position. You have been discriminated against. This is a violation of:___________

Answers

Answer:

when grounds intersect.

Step-by-step explanation:

Analyzing the information related to the question above, it is possible to identify that the candidate for the direct marketing position suffered a violation when the grounds intersect.

It is correct to state this on the basis that the candidate was of traditional university age, but in the interview it is said that young people are sought for the position.

This type of discrimination can occur when the individual is discriminated against due to overlapping of several reasons, in the case of the candidate he was seen as a person older than he appeared to be, even though he was a requested age.

х
(a) In the scale model, the length of the table is 9
centimeters. What is the length of the real table?
inches

Answers

Answer:Use the map of Maine to estimate the distance between the towns of China and New ... Since there are 4.5 centimeters between China and New Sweden, we can use a ... The scale model is a model of an object with dimensions that are in ... The child's picnic table is 22 inches tall, and the adult picnic table is 33 inches tall.

Step-by-step explanation:

PLEASE HELPPPPP
Find the sale price of the item. Round to two decimal places if necessary.

Original price: $208.34

Markdown: 72%
what is the sale price

Answers

The sale price is $58.34

Hi if i have 8,000 saving for 12,000 how much more do i need?

Answers

Answer: 4,000

Step-by-step explanation: 12,000 - 8,000 = 4,000 Hope it helped!! :)

Identify a diameter of circle E.

Answers

Answer: B) HI

Step-by-step explanation:

The cost of a TV is $2555. There will be a 35% discount What is the new price after the discount?

Answers

Answer:

1660.75

Step-by-step explanation:

2555x.35=894.25

2555-894.25=1660.72

Answer:1 660.75 US$

Step-by-step explanation:

The answer to this question is 1660.75 US dollars. 2555 - 35% equals 1660.75 US dollars.

Choose the equation that represents the asymptote of the graph f(x) = 2^x +3.

y = 0
y = 3
x = 0
x = 3​

Answers

Answer:

x = 0

Step-by-step explanation:

The horizontal asymptote occurs at x = 0, Hence the equation that represents the asymptote of the graph is at x = 0

f(x) = 2^x +3.

0 = 2^x +3.

2^x +3. = 0

2^x = -3

log 2^ x = log(-3)

x log2 = log(-3)

x = log(-3)/log 2

Hence the required function is when x = 0

is 33 prime or composite Explain​

Answers

33 is composite because it has more than two factors.

Answer:

33 is composite

Step-by-step explanation:Because its factors are 1, 3, 11, 33

Select the correct answer from each drop-down menu.
What type of risk applies to an investment in Treasury bonds?
The risk that the value of the Treasury bond will diminish over time if the value of the dollar decreases, or buys less than it used to, is
called
government to repay the bond.
v risk. Treasury bonds are seen to have no
vrisk because theyre backed by the promise of the US

Answers

Answer:

The first drop down is Inflationary and the second drop down is Credit.

Step-by-step explanation:


Sales tax is ,
to the price

Answers

Sales tax is a percentage of the sale price of an item that is then added on to the total price of the item.

Example:

let's say you are buying an item priced at $10.00 and the sales tax rate is 6%. Sales tax rates can vary from state to state and even within counties or cities.

What is the value of |5| - | -5| - (-5)? The solution is​

Answers

Answer:

5

Step-by-step explanation:

when we simplify it we get 5-5+5 which equals 5

y ≥ 12x – 1
y < 43x – 2

Answers

Answer:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Step-by-step explanation:

Use the equation and given point to answer the questions below. The equation of line a is y=12x−1, and it passes through point (6,2).

Which number has a 3 that is 1/10 the value of the 3 in 14.37 ?

Answers

Answer:

0.3

Step-by-step explanation:

Jeff's father is planning to open a savings account to pay for Jeff's college education. He has found a bank that will pay 5 percent interest compounded daily. How much will he need to deposit initially so that in 14 years the balance will be $199,000?

Answers

Answer:

P = $183.14

Step-by-step explanation:

Given:

Rate of interest = 5% daily =0.05

Number of year = 14

Balance = $199,000

Computation:

Assume;

Number of days in a year = 365

199,000 = p[1+(0.05/365)]¹⁴⁽³⁶⁵⁾

199,000 = p[1+(0.001369)⁵¹¹⁰

199,000 = p[1086.59]

P = $183.14

What’s is the slope?

Answers

Answer: 1/2

Step-by-step explanation:

y=1/2x-3

one half would be the answer

What is the purpose of the periodic interest rate? (2 points)
a for borrowers to compare the rates between different loans
b for lenders to compare the interest rates between different investments
c to determine the amount of interest charged during a specific time frame
d to determine the minimum payment of a credit card​

Answers

Answer:

The Answer is to determine the amount of interest charged during a specific time frame

Step-by-step explanation:

A taxi hurries with a constant speed of 38 miles per hour. How long will it take to travel a distance of 95 miles? O A. 40 minutes B. 13 minutes OC. 2.5 hours OD. 1.5 hours​

Answers

C. 2.5 hours

95 miles/x h = 38 miles/h
x = (95 miles/h)/(38 miles) = 2.5 hours

Quadrilateral CARD is similar to quadrilateral SNOW.
4 mm
13 mm
15 mm
6 mm
Sim
What is the length of SW in millimeters?

Answers

Answer:

13 I think if i´m right please mark me brainliest please thank you and have a great day

Step-by-step explanation:

Solve the following equation to determine the value of x: 3x + (x + 10) + 5x + (2x + 2) = 56

Answers

Answer:

I think x = 4.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x + x +10 + 5x + 2x + 2 =56

(3x + x + 5x + 2x) + (10 + 2) = 56 (Combine Like Terms)

11x + 12 = 56

11x + 12 = 56

Step 2: Subtract 12 from both sides.

11x + 12 − 12 = 56 − 12

11x = 44

Step 3: Divide both sides by 11.

11x/11 = 44/11

x = 4

-10x + 3y = 34
y = -8x

Answers

Answer

Step 1: Simplify both sides of the equation.

−10x + 3(−8x) = 34

−10x + −24x = 34

(−10x + −24x) = 34 (Combine Like Terms)

−34x=34

Step 2: Divide both sides by -34.

x=−1

Answer:

x=−1

So the pair of coordinates for your answer is (-1, 8)

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