a builder appoints three construction workers akash, sunil and rakesh on one of his sites. they take 20, 30 and 60 days respectively to do a piece of work. how many days will it take akash to complete the entire work if he is assisted by sunil and rakesh every third day?

Answers

Answer 1

It will take 15 days for Akash to complete the entire work if he is assisted by Sunil and Rakesh every third day.

To determine the number of days, we first represent the number of days to do a piece of work by each one of them in fractions as follows;

Fraction of work completed by Akash in 1 day = 1/20

Fraction of work completed by Sunil in 1 day = 1/30

Fraction of work completed by Rakesh in 1 day = 1/60

The total work done in 1 day can be given as;

Total work done by the three in one day = [(1/20) + (1/30) + (1/60)] = 1/10

Work done by Akash in two days = 2 × (1/20) = 2/20 = 1/10

The work done in three days (1 day of all three together + Work done by Akash in two days) = (1/10) + (1/10) = 1/5

Therefore; the total work done in 3 days = 1/5

At this rate, the total number of cycles required to finish the work =

(1) ÷ (1/5) = 5

Since each cycle has three days, the total number of days required to finish the work can be calculated as follows;

5 × 3 = 15 days

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Related Questions

(a+6)-(a+2)Simplify

Answers

[tex]\begin{gathered} (a+6)\text{ - \lparen a+2\rparen} \\ =\text{ a + 6 -a -2 } \\ =\text{ 6-2} \\ =\text{ 4} \end{gathered}[/tex]

Answer: 4

Hemework -13 .
Express the ratio 20cm to 15m in the form 1:n

Answers

Answer:

1: 75

Step-by-step explanation:

20cm : 15m

Convert meters to cm

1 meter = 100 cm

15m = 15 x 100 = 1500 cm

20cm:1500cm

Divide both sides of the ratio by 20

=> 1 : 1500/20 = 1: 75

The ratio of 20cm to 15m in the form 1:n is 1:75.

What is a ratio?

A ratio is a mathematical comparison of two or more quantities expressed in terms of the number of times one quantity contains another quantity.

It is used to express the relationship between two or more numbers or variables and is usually written as a fraction or with a colon between the two numbers.

We have,

First, we need to convert both measurements to the same unit.

Let's convert 20cm to meters:

20 cm = 20/100 m = 0.2 m

Now we can express the ratio of 20cm to 15m as:

0.2m : 15m

To simplify this ratio, we can divide both sides by the greatest common factor of the two numbers, which is 0.1m:

0.2m/0.1m : 15m/0.1m

2 : 150

Finally, we can simplify the ratio by dividing both sides by 2:

1 : 75

Therefore,

The ratio of 20cm to 15m in the form 1:n is 1:75.

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Miss Young is bringing cookies and brownies in for one of her classes. She has to bring
a total of 26 desserts. She pays $0.65 for each cookie and $0.90 for each brownie.

Answers

Using a system of equations, supposing that she spent $19.65, the amounts are as follows:

Cookies: 15.Brownies: 11.

What is a system of equations?

A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the context of this problem.

For this problem, the variables are defined as follows:

Variable x: number of cookies purchased.Variable y: number of brownies purchased.

She brought a total of 26 desserts, hence:

x + y = 26.

She spent a total of $19.65, hence, considering the price of each item:

0.65x + 0.9y = 19.65.

From the first equation, we have the following relation:

y = 26 - x.

Hence, replacing in the second, we can solve for x as follows:

0.65x + 0.9(26 - x) = 19.65

0.25x = 3.75

x = 3.75/0.25

x = 15 cookies.

Then the number of brownies is found as follows:

y = 26 - 15 = 11 brownies.

Missing information

We suppose that she spent $19.65, and that the problems asks for the amounts of cookies and brownies purchased.

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A software company in Burlington used to bill clients $214.79 per hour for work done by its consultants. The company recently adjusted its rates and now charges the same amount. What was the percent of decrease in the billing rate?

Answers

The percent of decrease in the billing rate is 2.37%.

How to calculate the percentage?

It should be noted that a percentage decrease is calculated as

= Decrease in value / Initial value × 100

Let's assume the following:

Initial amount = $220

New amount = $214.79

Decrease in amount = $220 - $214.79 = $5.21

The percentage decrease will be:

= 5.21 / 220 × 100

= 2.37%

The question is incomplete and the values were assumptions.

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Each gallon of paint covers 200 square feet. I have to paint one side of a wall that is 12 meters tall and 80 meters long. If a foot is approximately 0.3084 meters, then what is the smallest whole number of gallons I can buy and have enough paint to cover the whole wall

Answers

Answer:

1 ft   ≈   0.3048 m

1 ft2  ≈   0.09290304 m2

200 ft2   ≈   18.580608 m2

Step-by-step explanation:

The total surface area to paint  =  12 m  *  80 m   =   960 square meters

1 ft   ≈   0.3048 m

1 ft2  ≈   0.09290304 m2

200 ft2   ≈   18.580608 m2

And so one gallon of paint covers about  18.581  square meters.

960 m2  /  ( 18.581 m2 per gallon)  ≈   51.67 gallons

So  51  gallons would not be enough... it would take  52  gallons of paint to cover the wall.

What is the answer to the following calculation, rounded to the correct number of significant figures?100.000 g+ 75.0 g

Answers

Answer:

175g

Step-by-step explanation:

100.000g+75.0g= 175g

ps. pls give brainliest answer :)

The sum of the numbers 100.000g and 75.0g in expression is 175g.

What are mathematical operations?

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

The given numbers are,

100.000g and 75.0g

The zeros can be neglected after decimal points,

So the numbers can be written as,

100g and 75g.

To find the required expression, add 100g and 75g.

100g + 75g = 175g.

The required sum of the numbers is 175g.

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given the following expressions1. -5/8+3/52. 1/2+ √23. (√5)×(√5)4. 3×(√49)which expression(s) will result in an irrational number.(1) only 2(2) only 3(3) 1,3,4(4) 2,3,4

Answers

1) Only 2

1) Examining the expressions we have

1. -5/8+3/5 =-1/40 Rational Expression

2. 1/2+ √2 Irrational Expression

3.(√5)×(√5)= 5 Rational Expression

4. 3×(√49) = 21 Rational Expression

2) Since √2 is an irrational number √2 = 1.4142.... non-periodic and infinite number, and number added to it will yield an irrational number.

3) So the answer is 1) Only 2

A 21-foot beam is to be cut into three pieces so that the second and third piece are each 3 times the length of the first piece. If X represents represents the length of the first piece find the length of each piece.

Answers

The length of the first piece is 3 inches, and the second and third pieces are each 9 inches

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Given that a 21-foot beam is to be cut into three pieces so that the second and third pieces are each 3 times the length of the first piece.

We have to determine the length of each piece.

Let x represents the length of the first piece

As per the given condition,

x + 3x + 3x = 21

7x = 21

x = 21 / 7

x = 3

Thus, the first piece is 3 inch

So 2nd piece is 3×3 = 9 inches ( 3 times to first piece )

And 3rd  piece is  3×3 = 9 inches (  3 times to first piece )

Therefore, the length of the first piece is 3 inches, and the second and third pieces are each 9 inches

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7x+12=x-6 please answer

Answers

Answer:

x=-3

Step-by-step explanation:

y = 2x + 3
when x = -1, y =

Answers

Answer: y = 1

Step-by-step explanation:

y = 2(-1) +3

y = -2 + 3

y = 1

PLEASE HELP QUICK!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

Translation 4 units right and 1 unit up

[tex]\sqrt{x} ^2+2x-3[/tex]

Answers

The result of the expression given is 3x - 3

Simplification of Linear Equation

To solve this problem, we have to simplify the equation, and write the expression.

Given that

[tex]\sqrt{x^2}+ 2x -3[/tex]

For every square root having a square inside, they both cancel out each other to have the variable only.

Lets apply that in this expression

[tex]\sqrt{x^2} + 2x - 3\\x + 2x - 3[/tex]

To solve the expression, we would have the final answer to the question.

[tex]x + 2x - 3\\3x - 3[/tex]

The value of the expression given is 3x - 3

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What is the transformation of both y=-√-4x, and y=√-4x? I've looked everywhere to try and find it, but the internet is not helping!

Answers

The transformation that relates the two functions:

f(x) = y = -√(-4x)

g(x) = y = √(-4x)

Is a reflection across the x-axis.

What is the transformation applied?

We define a reflection across the x-axis as a transformation that does a "vertical reflection" along the line y = 0 (which is the x-axis).

For a function f(x), a reflection across the x-axis generaste the new function g(x) that can be written as:

g(x) = -f(x).

In this case the original function is:

f(x) = y = -√(-4x)

And the transformed function is:

g(x) = y = √(-4x)

You can see that the only difference is the sign, such that we can write:

g(x) = -f(x) = -(-√(-4x)) = √(-4x)

So we conclude that the transformation is a reflection across the x-axis.

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stack of mail consists of 8 bills, 10 letters, and 6 advertisements. One piece of mail is drawn at random and put aside. Then a second piece of mail is drawn. Find P (both are letters)

Answers

INFORMATION:

We know that:

- stack of mail consists of 8 bills, 10 letters, and 6 advertisements.

- One piece of mail is drawn at random and put aside. Then a second piece of mail is drawn.

And we must find P (both are letters)

STEP BY STEP EXPLANATION:

To find the probability, we need to know that we have two events. First, when one piece of mail is drawn at random and put aside and, second, when a second piece of mail is drawn.

These two events are dependent. If A and B are dependent events, P(A and B) = P(A) • P(B after A) where P(B after A) is the probability that B occurs after A has occurred.

So, first

- Probability of A (the first piece is letter)

[tex]P(A)=\frac{favorable\text{ }cases}{total\text{ cases}}=\frac{10}{24}[/tex]

- Probability of B after A

Since A already occurred and one piece of the mail was drawn (a letter), now in total we would have 9 letter and 23 total pieces

[tex]P(B\text{ after }A)=\frac{9}{23}[/tex]

Finally, replacing in the initial formula

[tex]P(A\text{ and }B)=\frac{10}{24}\cdot\frac{9}{23}=\frac{90}{552}=0.1630[/tex]

Finally, the probability would be 0.1630

ANSWER:

P (both are letters) = 0.1630


5/b= 3/b-6
first i cross multiplied as i’m supposed to go and got the answer
5b-30=3b
what steps are next?

Answers

It seems here that there are steps already solved for. Now that we have the equation 5b - 30 = 3b, we can subtract 5b on both sides. This would look like:

-30 = -2b

Let’s divide both sides by the coefficient now to solve for b:

-30 / -2 = 15

Therefore,

b = 15

someone please help me please

Answers

Graph

[tex]-2x+y\ge-2[/tex]

Procedure

Solve 4- 3x = 6 - 5x
X =

Answers

Answer:

Step-by-step explanation:

4 - 3 x = 6 - 5 xx

[tex]-3x+4=6-5xx^{2}[/tex]

x = 1

x = - [tex]\frac {2}{5}[/tex]

Answer:

x=1

Step-by-step explanation:

sense x's are on both sides you need to bring one of them over, add 3x to both sides to get 4=6-2x , then subtract 6 from each side to get -2=-2x , then to get x by itself divide both sides by -2 to get 1=x

what is the answer to 2y=3x+4

Answers

Answer:

y = (3/2)x + 2

assuming that the question is to find y in its simplest form.

Step-by-step explanation:

2y=3x+4

(1/2)*(2y)= (1/2)*(3x+4)

y = (3/2)x + 2

Which of the following is equivalent to 1-2x > 3(x - 2)?
01-2x > 3x - 7
01-2x > 3x - 6
01-2x > 3x - 2
01-2x > 3x - 5
POSSIBLE POINTS:

Answers

Answer: 01-2x > 3x - 6

Step-by-step explanation: distributive property

Solve for x.
3.5x=31.5

Answers

Answer:

x = 9

Step-by-step explanation:

x = 31.5 / 3.5

x = 9

Answer:

x = 9

Step-by-step explanation:

since 3.5 is being multiplied by x to get 31.5 to get rid of it and leave x by itself you have to divide both sides by 3.5

(3.5x)/(3.5)= (31.5)/(3.5)

x=9

Whats the answer to this -11 + 2x

A.-10
B.9
C.-12
D.6

Answers

It is 2x-11
Because we are simplifying it

Find the value of x.
(8x - 11)
5x°
(2x+6)°

Answers

Answer: x=37/3

Step-by-step explanation:

8x-11+5x+2x+6=180 ==> three angles of a triangle add up to 180 degrees

8x+5x+2x-11+6=180

13x+2x-5=180

15x-5=180

15x=185

x=185/15

x=37/3

suppose you sell hats for 10 dollars each and sunglasses for 5 dollars each. you know the expected number of hats sold in a day is 10 with standard deviation 1; you know the expected number of sunglasses sold in a day is 20 with standard deviation 2; you know the sale of hats and sunglasses are independent. what is the standard deviation of your revenues in a day? (round to closest dollar)

Answers

Answer:

2

Step-by-step explanation:

because average of 1 and 2 is 1.5 rounded is 2

The standard deviation of your revenues in a day is 14.

What is a standard deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

Let x be the revenue from hats.

And let y be the revenue from sunglasses.

And z be the total revenue.

Then according to the question:

z = 10x + 5y

You know the expected number of hats sold in a day is 10 with standard deviation 1.

σₓ = 1

σy = 2

Taking squares of both of the equation.

σₓ² = 1² = 1

σy² = 2² = 4

To find the standard deviation of your revenues in a day:

V(z) = (10)²σₓ² + 5²σy²

V(z) = (100)(1) + (25)(4)

V(z) = 200

Standard deviation,

σz² = √(200)

σz² = 10√(2)

σz² = 14.14

σz² ≈ 14

Therefore, the required standard deviation is 14.

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If f (x) = 4x2 + 3x − 5, then the quantity f of the quantity x plus h end quantity minus f of x end quantity all over h is equal to which of the following?

4 times the quantity x plus h end quantity squared plus 3 times the quantity x plus h end quantity minus 5 minus 4 times x squared plus 3 times x minus 5 all over h
4 times the quantity x squared plus 2 times x times h plus h squared end quantity plus 3 times the quantity x plus h end quantity minus 5 minus the quantity 4 times x squared plus 3 times x minus 5 end quantity all over h
the quantity 4 times x plus 4 times h end quantity squared plus the quantity 3 times x plus 3 times h end quantity minus 5 minus the quantity 4 times x squared plus 3 times x minus 5 end quantity all over h
4 times the quantity x plus h end quantity squared plus 3 times x minus 5 minus 4 times x squared minus 3 times x plus 5 all over h

Answers

The difference quotient of f(x) is:[ f(x + h) - f(x)]/h =  8x + 4h + 3

How to get the difference quotient?

Here we have the function:f(x) =4x^2 +3x - 5

And we want to get the difference quotient that can be written as:

[f(x + h) - f(x)]/h

Replacing the function we get:

[f(x + h) - f(x)]/h = [4*(x + h)^2 + 3*(x + h) - 5 - 4*x^2 - 3x + 5]/h

Solving further (open the brackets), we have

[f(x + h) - f(x)]/h = [4x^2 + 8*x*h + 4h^2 + 3x + 3h  -5 - 4x^2 - 3x + 5]/h

Evaluate the like terms

So, we have

[f(x + h) - f(x)]/h = [8*x*h + 4h^2 + 3h]/h

Evaluate the quotients

[f(x + h) - f(x)]/h = 8x + 4h + 3

That is the difference quotient.

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Pls help i domt get this

Answers

Answer:

[tex]5^{15}[/tex] × 120 = 30,517,578,125 × 120

Step-by-step explanation:

Experimental and theoretical see pic

Answers

Answer:

1) Wrong statement:

The difference between the experimental and theoretical probability is 1/10

Correct statement:

The difference between the experimental and theoretical probability is 3/200

2) Wrong statement:

The difference between the experimental and theoretical probability is 1/10

Correct statement:

The difference between the experimental and theoretical probability is 3/200

Explanation:

N(Pennies) = 6

N(Nickels) = 8

N(Dimes) = 4

N(quarters) = 7

N(total) = 6 + 8 + 4 + 7

N(total) = 25

1) The theoretical probability of selecting a dime = 4/25

The experimental probability of selecting a dime = 30/150 = 1/5

B is wrong because theoretical probability is 4/25, not 9/50

Wrong statement:

The theoretical probability of selecting a dime is

Correct statement:

The theoretical probability of selecting a dime is 4/25

2) The experimental probability of selecting a penny = 45/200 = 9/40

The theoretical probability of selecting a penny = 6/25

Difference between experimental and theoretical probability = 6/25 - 9/40

Difference between experimental and theoretical probability = 3/200

Wrong statement:

The difference between the experimental and theoretical probability is 1/10

Correct statement:

The difference between the experimental and theoretical probability is 3/200

Express 35 as a fraction of 95. Give your answer in its simplest form.

Answers

Answer:

=35/95

=(5 x7)/95

=5 x 7/5 x 19

=7/19

5. Caleb earns points on his credit card that he can use towards future purchases. He earns four
points per dollar spent on flights, two points per dollar spent at hotels, and one voint per
dollar spent on all other purchases. Last year, he charged a total of $9.480 and earned
14,660 points. The amount of money spent on flights was $140 more than twice the amount
of money spent on hotels. Find the amount of money spent on each type of purchase.

Answers

By the concept of linear equation :

$1,500 was spent on flights,

$680 was spent on hotels,

$7,300 was spent on other purchases.

What are linear equations?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Ax+By=C represents a two-variable linear equation in its standard form. As an illustration, the conventional form of the linear equation 2x+3y=5 It is rather simple to locate both intercepts when an equation is stated in this way (x and y). For the purpose of resolving systems involving two linear equations, this form is also highly helpful.

Given:

Flights: 4 points per dollar

Hotels: 2 points per dollar

Other: 1 point per dollar.

Total spent = $9,480

Points earned = 14,660

Let

x = money spent on flights

y = money spent on hotels

z = money spent on other purchases.

Because the money spent on flights was $140 more than twice the money spent on hotels, therefore

x = 2y + 140          (1)

Total charges were $9,480, therefore

x + y + z = 9480    (2)

Total points earned was 14,660. Therefore

4x + 2y + z = 14660   (3)

Subtract (2) from (3).

4x + 2y + z - (x + y + z)

= 14660 - 9480

3x + y = 5180             (4)

Substitute (1) into (4).

3(2y + 140) + y = 5180

7y + 420 = 5180

7y = 4760

y = 680

From (1), obtain

x = 2y + 140

= 2(680) + 140

= 1500

From (2), obtain

z = 9480 - (x + y)

= 9480 - (1500 + 680)

= 7300

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The point where the graphs of two equations intersect has y-coordinate 2. One equation is y = -3 = 5. Find the other equation if its graph has a slope of 1.

Answers

The equation of the line for the given slope 1 is y= x + 2

Equation of the line:

An equation of the line refers the algebraic form of representing the set of points, which together form a line in a coordinate system.

Given,

The point where the graphs of two equations intersect has y-coordinate 2. One equation is y = -3x + 5.

Here we need to find the other equation if its graph has a slope of 1.

We know that, the general representation of equation of line is y= ax + b

where a is the slope and b is the y intercept.

Through the given details we know that the slope of the line is 1 and why is point where two lines intersect hence, it is the intercept.

And the intercept value is 2.

Therefore, the equation of the other line is y= x + 2

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How do you solve this

Answers

Answer: wut

Step-by-step explanation: wut

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