Mathematics, 24.06.2019 22:30 TheOriginalMeyah

The volume of construction work was increased by 60% but the productivity of labor increased by only 25%. by what percent must the number of workers be increased in order for the work to be completed in time, as it was scheduled originally?

Answers: 1

Show answers

Answers

Answer from: babysisjessica1

28 %

Step-by-step explanation:

Since, Volume of a work = productivity × time × number of workers

Let V be the initial volume of the work , p is the initial productivity , n is the initial time and x be the initial number of workers.

Then, V = p × N × x ------ (1)

When, the volume of construction work was increased by 60%, productivity of labor increased by only 25% and time remains same,

Let y be the new number of workers,

Then, 1.6 V = 1.25 p × N × y -------(2)

Dividing equation (1) by equation (2)

We get,

$\frac{1}{1.6} = \frac{x}{1.25y}$

1.25 y = 1.6 x

$y = \frac{1.6x}{1.25}$

$y = \frac{160x}{125}$

Thus, the percentage increase in the number of workers = $\frac{160x/125-x}{x}\times 100$

$\frac{160x-125x}{125x}\times 100$

$\frac{35x}{125x}\times 100$

$\frac{35}{125}\times 100$

$\frac{3500}{125}$

$28\%$

Therefore, the number of workers is increased by 28%.

Answer from: kaffolter25

The number of number of workers is increased by 28%.

Step-by-step explanation:

Let the volume of construction work be v

Let the productivity of labor be p.

Let the number of workers be n.

So, our original equation becomes

$v=p\times n$

Now,

According to question, we have given that if volume increased by 60% and the productivity increases by 25%.

Let the percentage increase in number of workers be x

So, it becomes,

$\frac{100+60}{100}\times v=\frac{100+25}{100}\times p\times n(1+x)\\\\1.6\times v=1.25\times p\times n(1+x)\\\\1.6\times p\times n=1.25\times p\times n(1+x)\\\\\frac{1.6}{1.25}=1+x\\\\1.28=1+x\\\\1.28-1=x\\\\x=0.28$

So, The number of number of workers is increased by 28%.

Answer from: Quest

b: |12 – x| ≤ 0.25

step-by-step explanation:

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

Answer from: Quest

i wish i could you, i have no idea how to answer this

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 18:00

Ling listed all of the factors of a mystery number: 1,2,4,8,16,32 what is the mystery number?

Answers: 2

Answer

Mathematics, 21.06.2019 18:00

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.

Answers: 3

Answer

Mathematics, 21.06.2019 19:30

Prove the divisibility of the following numbers: 25^9 + 5^7 is divisible by 30.also, read as (25 to the power of 9) + (5 to the power of 7) is divisible by 30. blank x 30what is the blank? ( it should be expressed in exponent form)

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

The domain of a function can be represented by which one of the following options? o a. a set of output values o b. a set of f(x) values o c. a set of input values o d. a set of both input and output values

Answers: 3

Answer

You know the right answer?

The volume of construction work was increased by 60% but the productivity of labor increased by only...

Questions