A group of 40 workers can do a construction in 16 days. When has elapsed 4 days, 10 workers retired. How many days of delay the construction will be delivered?

Answers

Answer 1

Answer:

4 days

Step-by-step explanation:

The time it would take the group of 40 workers to deliver the work, [tex]t_{estimated}[/tex] = 16 days

The number of workers that retired after 4 days = 10 workers

Therefore, the number of workers remaining = 40 - 10 = 30 workers

The time it would take 1 worker to do the work = The number of work days in the construction = 40 × 16 = 640 work days

The amount of work done in 4 days = 40 × 4 = 160 work days

The amount of work remaining after the elapsed 4 days = (640 - 160) work days = 480 work days

The number of days, n, it would take the remaining 30 workers to do the remaining work, is given as follows;

n = 480 work days/(30 workers) = 16 days

The actual total number of work days it took for the work to be delivered, [tex]t_{actual}[/tex] = 4 days + 16 days = 20 days

The number of days delay the construction will be delivered, [tex]t_{delay}[/tex], is given as follows = [tex]t_{actual}[/tex]

[tex]t_{delay}[/tex] = [tex]t_{actual}[/tex] - [tex]t_{estimated}[/tex]

∴ [tex]t_{delay}[/tex] = 20 days - 16 days = 4 days

The number of days delay the construction will be delivered,  [tex]t_{delay}[/tex] = 4 days


Related Questions

Jasper’s new copier can produce a copy every 0.57 seconds. Jasper calculates that it will take 6.57 seconds to produce 6 copies.
What error did Jasper make?
He placed the decimal point incorrectly after he multiplied.
He multiplied the time to produce one copy by 6 instead of 12.
He added 6 and 0.57 instead of multiplying.
He found the time to produce 57 copies instead of 6.

Answers

It takes 0.57 seconds per copy and he made 6 copies.

6 + 0.57 = 6.57

He added 6 and 0.57 instead of multiplying.

The easiest way to figure this out would be to do the problem by ourselves:

0.57 · 6 = 3.42, so it will take about 3.5 seconds.

We can say that Jasper got a way different answer, so it must be something wrong with the way he multiplied. When we look through the answers and we see that rather than multiplying, Jasper added, so our answer is:

He added 6 and 0.57  instead of multiplying.

Please help explanation if possible

Answers

Answer:

Jordans' age = 31 ; Anna's age = 19

Step-by-step explanation:

Given the 2 equations relating their ages

J + A = 50 → (1)

J = 12 + A → (2)

Substitute J = 12 + A into (1)

12 + A + A = 50

12 + 2A = 50 ( subtract 12 from both sides )

2A = 38 ( divide both sides by 2 )

A = 19

Substitute A = 19 into (2)

J = 12 + 19 = 31

Then Jordans' age = 31 ; Anna's age = 19

Answer:

Step-by-step explanation:

J = 12 + A equation 1

J + A = 50 equation 2

Solving equation 2

J + A = 50

A = 50 - J equation 3

Putting value of A in equation 1

J = 12 + A

J = 12 + 50 - J

Bringing like terms on one side

J + J = 12 + 50

2J = 62

J = 62/2 = 31

Putting value of J in equation 3

A = 50 - J

A = 50 - 31 = 19

Checking answer by putting values in equation 2

J + A = 50

31 + 19 = 50

50 = 50

So the age of Jordan is 31 and Anna is 19

Samia created the following tables of values for a linear system. She concluded that there is no
solution to the system

Answers

Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.

How many solutions do a system of linear lines have?

A system of equations, involving two linear lines has solutions as follows:

Unique Solution: When the lines intersect, the point of intersection is the solution.No Solution: When the lines are parallel, no solution exists.Infinite Solution: When the lines coincide, then all points on the line become solutions, giving an infinite number of solutions.

How to solve the question?

In the question, we are informed that Samia created the given tables for a linear system, and concluded that no solution exists for the system.

We are asked to comment on her conclusion.

To check for her conclusion, we calculate the slopes of both the lines to check whether the relations are parallel or not, as, for parallel relations, the slopes are equal.

Slope can be calculated using the formula, m = (y₂ - y₁)/(x₂ - x₁), when (x₁, y₁), and (x₂, y₂) are the points on the line.

Thus, the slope for:-

Relation 1, is m₁ = (22 - 8)/(4 - (-3)) = 14/7 = 2.

Relation 2, is m₂ = (12 - (-2))/(4 - (-3)) = 14/7 = 2.

Since the slope of the two relations is equal, that is, m₁ = m₂, and they are not coinciding with each other, we can say that the two relations are parallel to each other.

Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.

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prime factorization of 44
231 give the serious
answer​

Answers

Answer:

11,4021

Step-by-step explanation:

the steps are simply ,

44231

11^4021

Answer:

The Prime Factorization is:

11 x 4021

In Exponential Form:

111 x 40211

CSV Format:

11, 4021

All Factors of 44231:

1, 11, 4021, 44231

hope it helps

please mark Brainliest

Find the solution: | x + 1 | + 16 = 10

Answers

Answer:

[×1] +16=10

×=10-16

×=-6

Answer:

x=5 and x=-5

Step-by-step explanation:

First subtract 16 from both sides.

Then solve for x+1=6 and x+1=-6

you answer should be x=5 and x=-5

Which set of equations is enough information to prove that lines c and d are parallel lines cut by transversal p?

Answers

Answer:

56

Step-by-step explanation:

The value of n is a distance of 2 units from -1 on a number line which numbers can be the value of n

Answers

Answer:

{-3, 1}

Step-by-step explanation:

If n is to the right of center -1 on a number line, we ADD 2 to -1, obtaining 1.  Here n is 1.

If n is the left of center -1 on a number line, we SUBTRACT 2 from -1, obtaining -3.  Here n is -3.

Which graph represents the solution set of this inequality?

Answers

Answer:

C

Step-by-step explanation:

5a + 18 < -27

5a < -45

a < -9

Graph C matches the solution set of this inequality.

help me solve this i dont kow how to do this i was absent in class when my teaacher taught this doont send video just answer

Answers

8:-

[tex]\\ \sf \longmapsto 5x+20=40[/tex]

[tex]\\ \sf \longmapsto 5x=40-20[/tex]

[tex]\\ \sf \longmapsto 5x=20[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{20}{5}[/tex]

[tex]\\ \sf \longmapsto x=4[/tex]

9:-

As its a isosceles triangle

x=y

[tex]\\ \sf \longmapsto x+y+60=180[/tex]

[tex]\\ \sf \longmapsto 2x+60=180[/tex]

[tex]\\ \sf \longmapsto 2x=120[/tex]

[tex]\\ \sf \longmapsto x=y=60[/tex]

and

[tex]\\ \sf \longmapsto z=x+60÷60+60=120[/tex]

nent
Which expressions are equivalent to 7-2.76?
Choose 2 answers:
W
1
3 min
A
72
7-2
icals
B В
76
7-2
7-12
z 25
D
(72)2
molitvin

Answers

7^2/7^-2 and (7^2)^2

A square has an area of 100 m squared. What is the length of each side?

Answers

Answer:

10m

Step-by-step explanation:

area of a square =s^2

therefore s^2=100

s= under root 100

= 10

What is an equation of the line that passes through the points (-6, -8) and (-3,-3)?​

Answers

Answer:

y = 5/3x+2

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( -3 - -8)/( -3 - -6)

    = ( -3+8) / (-3+6)

    = 5/3

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

Substituting the point (-3,-3)

-3 = 5/3(-3) + b

-3 = -5+b

-3+5 = b

2 = b

y = 5/3x+2

Given points

(-6,-8)(-3,-3)

First find the slope

[tex]\boxed{\sf m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-3+8}{-3+6}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{5}{3}[/tex]

Now

[tex]\boxed{\sf y=mx+b}[/tex]

[tex]\\ \sf\longmapsto -3=\dfrac{5}{3}(-3)+b[/tex]

[tex]\\ \sf\longmapsto b=2[/tex]

Hence the equation will be

[tex]\\ \sf\longmapsto y=\dfrac{5}{3}x+2[/tex]

There are 2 green pens, 3 blue pens, 4 red pens, and 1 black pen in the teachers desk. The teacher selects 2 pens at random, and the pens are not replaced. What is the probability that the teachers will pick 2 red pens in a row?

Answers

Answer:

2/15

Step-by-step explanation:

2 green pens, 3 blue pens, 4 red pens, and 1 black pen =10 pens

P(red) = red/total = 4/10 = 2/5

Keep the pen

2 green pens, 3 blue pens, 3 red pens, and 1 black pen =9 pens

P(red) = red/total = 3/9 = 1/3

P(red,red) = 2/5 * 1/3 = 2/15

fins the least number which should be added to 4100 to get a perfect square. also find the square root of the perfect square.

plz sent answer fast ​

Answers

Answer:

Step-by-step explanation:

Find the square of 4100 by long division method

As 4100 is not a perfect square, it will have balance.

Now Find 65 * 65 = 4225

4225 - 4100 = 125

125 should be added to 4100 to get a perfect square

4225  = 5 * 5 * 13 * 13

[tex]\sqrt4225}=\sqrt{5*5*13*13}=5*13=65[/tex]

Nearest square of 4100.

4225=(65)^2

[tex]\\ \sf\longmapsto 4225-4100[/tex]

[tex]\\ \sf\longmapsto 125[/tex]

125 should be added

whats the volume the triangular prism?​

Answers

Answer:

Step-by-step explanation:

B ----> Base Area

Base is triangle

base = b = 10 in

height = h = 6 in

Area of base B = [tex]\frac{1}{2}bh[/tex]

                         [tex]=\frac{1}{2}*10*6\\\\= 5* 6\\\\= 30 \ in^{2}[/tex]

B = 30 in²

H = 15 in

Volume of triangular prism = BH

                                            = 30 * 15

                                            = 450 in³

find the area of parallelogram and round to the nearest tenth.​

Answers

Answer:

A=b×h

A=13.8×6

A=82.8 in²

A≈83in²

Step-by-step explanation:

PLz, Help fast! 100 points
A line is drawn on a scatter plot, as shown below:

A graph shows values till 10 on both x- and y axis with increments of 1.Dots are shown at 0.5, 7.5 and 1.8, 6.5 and 3, 6 and 4.4, 5 and 4.8, 4 and 5.9, 3.2 and 6.6, 2 and 7.5, 2.5 and 8, 1 and 8.8, 0. A straight line joins the ordered pairs 0, 7.9 and 10, 0.

Which statement best describes the line?

Answers

Answer:

It can be the line of best fit because it closely fits the data points.

Step-by-step explanation:

The line is near the data points and goes down from left to right just like the data points.  It is just above or just below the data points.

Answer:

guy above is right

Step-by-step explanation:

Could someone please help? I’ve done this lesson so many times and still struggle.

Answers

Nice job on getting problem 1 correct.

=================================================

Problem 2

The double stem and leaf plot says we have the following data set for the men's side

53,54,57 60,61,62,63,63,64,64,66,67,67,68,69 70,70,70,70,70,73,76,77,77,77,77,79 81,82,85,86,88,88 90,92,93,98

Be careful to read the stem first, followed by the leaf (even though the leaf values are listed on the left side of the stem).

Notice how each row is a different stem (in this case, tens digit) to help make things more readable.

If we were to add up all of those values I listed above, then we should get the sum 2707. Divide this over n = 37 to get 2707/n = 2707/37 = 73.162 approximately. This rounds to 73 since your teacher wants you to round to the nearest whole point.

The average score for the men is 73.

You'll do the same thing for the women's side. That data set is

55,59 60,60,62,62,63,64,65,66,66,67 70,71,71,72,73,74,75,76,79,79 80,81,82,83,83,84,89 90,92,92,93,93,95,98 100

Again, it's handy to break the scores up by stem or else you'll have a long string of scores to get lost in (or it's easier to get lost in).

Adding up those 37 scores should get you 2824 which then leads to a mean of 2824/n = 2824/37 = 76.324 approximately. This rounds to 76

The average score for the women is 76.

=================================================

Problem 3

The range for the men is max - min = 98 - 53 = 45

The range for the women is max - min = 100 - 55 = 45

Both groups have the same range (which is 45)

==================================================

Problem 4

It's strongly recommended to use a spreadsheet here. Let's focus on the men's data set.

The idea is to subtract each data value from the mean 73.162, and then square the result. So each term is of the form (x-mu)^2 where mu is the mean.

For example, the data value x = 53 on the men's side will lead to

(x-mu)^2 = (53 - 73.162)^2 = 406.506

We consider this a squared error value.

You'll do this with the remaining 36 other values in the men's data set.

After doing this, you'll add up the 37 items in this new column and you should get roughly 4711.027, and this is the sum of the squared errors (SSE).

Divide this over n = 37 and we get 4711.027/37 = 127.325

Lastly, apply the square root and we arrive at sqrt(127.325) = 11.284 which rounds to 11.28

The steps for the women's standard deviation will be the same. You should get 12.30

-------------

Answers:Men's standard deviation = 11.28Women's standard deviation = 12.30

These are population standard deviation values. If you don't want to use a spreadsheet, a much better option is to use online calculators that specialize in population standard deviation.

1) The men's and women's team each played 37 games.

2) the mean score of men's and women's team is 73 and 76 approximately.

3) the range of men's and women's score is 45.

4)the standard deviation of men and women team 11 and 12 approximately.

Number of observations can be found by counting the observations.

Mean is the average of all observations. It is the sum product of observations divided by the number of observations.

The range of observations is the measure of spread. It is the highest value minus the lowest value.

The standard deviation is another measure of variability. It is the square root of variance, where variance is the sumproduct of observations minus the mean, divided by the number of observations.

The data set is given by:

Men's team

53,54,5760,61,62,63,63,64,64,66,67,67,68,6970,70,70,70,70,73,76,77,77,77,77,7981,82,85,86,88,8890,92,93,98

Women's team

55,5960,60,62,62,63,64,65,66,66,6770,71,71,72,73,74,75,76,79,7980,81,82,83,83,84,8990,92,92,93,93,95,98100

1) Number of games each team played :

men's team = 37

women's team = 37

2)mean = [tex]\frac{sum \ of \ observations}{number \ of \ observations}[/tex]

men's team = [tex]\frac{2707}{37}[/tex] =  = 73.162

women's team = [tex]\frac{2824}{37}[/tex]  =  = 76.324

3)range =  highest observation - lowest observation

men's team = 98 - 53 = 45

women's team = 100 - 55 = 45

4)population standard deviation = [tex]\sqrt{ \frac{\sum (x-\bar x)^2}{n}}[/tex]

On using the formula :

men's team = [tex]\sqrt{\frac{4711.027}{37} } = \sqrt{127.325} = 11.284[/tex]

women's team = [tex]\sqrt{151.29}[/tex] = 12.3

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Given the equation, 1 + 6k = 25, for some value of k, what is the value of k +7 for the same value
of k?

Answers

Answer:

k + 7 = 11

k = 4

Step-by-step explanation:

1 + 6k = 25

25 - 1 = 6k

24 / 6 = k

k = 4

4 + 7 = 11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

k = 4

The value of k + 7 = 11

Step-by-step explanation:

1 + 6k = 25

To find the value of k we have to use inverse operations

1 + 6k = 25

1 - 1= 0

25 - 1 = 24

This cancels out the 1 in this equation. 25 becomes 24 now because what we do to one side we do to the other.

6k = 24

To find k we have to divide 6 from 6 and 24

6/6= 0

24/6= 4

Now we are left with the variable k and 4

Therefore, k = 4.

To solve the second part of the equation we plug in k to the equation

k = 4

so the equation becomes 4 + 7

4 + 7 = 11

2. Given the function f : x -> |x+8|, find the possible values of x when the image is 3.

Answers

Answer:

f (x)=11

Step-by-step explanation:

f (x)= x + 8

f (3)= (3 +8)

=f(x) =11

**replace the x with a variable which is 3

Please help, need to find f^-1 (x)

Answers

The inverse function [tex]f^{-1}(x)[/tex] is such that

[tex]f\left(f^{-1}(x)\right) = x[/tex]

Plugging [tex]f^{-1}(x)[/tex] into [tex]f(x)[/tex] gives us

[tex]f\left(f^{-1}(x)\right) = \dfrac{3f^{-1}(x) + 3}{5f^{-1}(x) + 6} = x[/tex]

Solve for [tex]f^{-1}(x)[/tex] :

[tex]\dfrac{3f^{-1}(x) + 3}{5f^{-1}(x) + 6} = x \\\\ 3f^{-1}(x)+3=x\left(5f^{-1}(x)+6\right) \\\\ 3f^{-1}(x) + 3 = 5x f^{-1}(x)+6x \\\\ 5xf^{-1}(x)-3f^{-1}(x) = 3 - 6x \\\\ (5x-3)f^{-1}(x)=3-6x \\\\ \boxed{f^{-1}(x)=\dfrac{3-6x}{5x-3}}[/tex]

Craig wants to prove that if quadrilateral ABCD has diagnols that biscet each other then it is a parallelogram

Answers

Solution :

Consider quadrilateral ABCD is a parallelogram. The parallelogram have diagonals AC and DB.

So in the given quadrilateral ABCD, let the diagonal AC and diagonal DB intersects at a point E.

Thus in the quadrilateral ABCD we see that :

1. AC and DB are the diagonals of quadrilateral ABCD.

2. Angle DCE is congruent to angle BAE and angle CDE is congruent to angle ABE. (they are alternate interior angles)

3. Line DC is congruent to line AB. (opposites sides are congruent in a parallelogram )

4. Angle ABE is congruent to angle CDE. (Angle side angle)

5. Line AE is congruent to line EC. And line DE is congruent to line EB. (CPCTC)

Thus we see that if the diagonals of a [tex]\text{quadrilateral bisects each other}[/tex], then the quadrilateral is a parallelogram.

Answer:

△ABE and△CDE by side-angle-side

Place parentheses in the following equation to make it true.
6+6/6x6-6= 0

Answers

Answer: (6+6/6)*(6-6)= 0

(2w+3x)(w-5x) - (3w+7x)(w-7x)

Answers

Answer:

-w²+49x²-8wx

Step-by-step explanation:

if you want how I did this it's quite lengthy so let me know if you want the process

Answer:

-w^2 + 21xw - 64x ^2

Step-by-step explanation:

Mrs. Sprott is planting a square garden in her backyard. The garden will
measure x feet on each side. Which function will give F(x), the area in
square feet of the garden?

Answers

Answer:

The answer the above question is f(x) = x²

Answer:

fdybg

gyani

2574387y

sngsrh

funddhhtffdsdnjjj

3. Which property of similarity can be used to prove triangles STR and VWU are similar?

Answers

Answer:

Not enough information

Step-by-step explanation:

Similar triangles must have congruent corresponding angles and proportional corresponding sides.

Answer:

not enough information

Step-by-step explanation:

1. A soccer team is to be selected from a group of 24 players. Of them, one-third is below 16 years of age, one-fourth is in the age group 16 to 18 years and the remaining are above 18 years.
(a) What fraction of players is above 18 years of age?
(b) If all players of age above 18 are selected, how many players are above 18 years of age? ​

Answers

Answer:

(a).5/12

(b).10 players

Step-by-step explanation:

a.

⅓+¼=7/12

Remaining=5/12

b.5/12of 24 =10 players

The number of students in an school building that have the flu after t days is given by the function

()=800/1+49^−0.2

a) What was the initial number of students infected (think about what time is initially).

b) When will the number of students infected be equal to 200?

Round all of your answers to the NEAREST whole number and be sure to label your answers.

Answers

Step-by-step explanation:

[tex]p(0) = \frac{800}{1 + 49 {e}^{ - 0.2 \times 0} } = \frac{800}{1 + 49} = \frac{800}{50} = 16[/tex]

[tex]200 = \frac{800}{1 + 49 {e}^{ - 0.2t} } \\ 200(1 + 49 {e}^{ - 0.2t} ) = 800 \\ 200 + 9800 {e}^{ - 0.2t} = 800 \\ 9800 {e}^{ - 0.2t} = 600 \\ {e}^{ - 0.2t} = \frac{3}{49} \\ ln( {e}^{ - 0.2t} ) = ln( \frac{3}{49} ) \\ - 0.2t = - 2.793 \\ t = 13.96 = 14[/tex]

Help me plss!!!!!
Consider the graph of the function below.
Which statement about the graph below is incorrect?
A. The degree of the polynomial is even.
B. There is a positive leading coefficient.
C. There is one relative minimum.
D. There is one relative maximum.
a
A
b
B
С
d
D

Answers

Answer: A) The degree of the polynomial is even

We can determine this by noticing that the end behavior is different on both sides. The left end goes downward while the right end goes upward. This opposing nature indicates we have an odd degree function like a cubic. If this was an even degree function, then the left end must also point upward to mirror the right end. That's why choice A is the final answer.

Choice B can be ruled out since it's a true statement. This is because the right end behavior goes to positive infinity. Such end behavior is tied to positive leading coefficients (whether even or odd functions, it doesn't matter).

Choice C is also true and can be ruled out because this function curve does have one relative minimum. It's the location where the curve bottoms out in the valley at around x = 3.5 or so. It's the lowest point in the neighborhood/interval of points.

Choice D can be ruled out for similar reasons as choice C, except this time we're looking at the highest point in a certain neighborhood. That highest point occurs somewhere between x = 1.5 and x = 2 where the peak of the hill is located.

To rephrase those last three paragraphs: choices B through D are true statements, so they can be ruled out.

Find the value of
x for which ABCD
must be a
parallelogram.
6
54
3
27

Answers

Answer:

3

Step-by-step explanation:

As it's a parallelogram the cross splits each diagonal exactly in half, so each half is the same:

-9-6x = x-30

7x=21

x=3

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