10.10.2021

All employees of a company work less than 40 hours. Which inequality describes the situation?

. 6

Faq

Mathematics
Step-by-step answer
P Answered by PhD

20c+120E\leq 470\\400c+3600E\leq 95000

Step-by-step explanation:

Amount available for interview and training = 95000 dollars

Time available for interview and training = 470 hours.

let c denote the number of candidates they interview and E the number of employees they train.

Interview time = 20c and interview cost = 400c

Training time = 120E and training cost = 3600E

Thus total time = 20c+120E and total cost = 400c+3600#

The inequality is

20c+120E\leq 470\\400c+3600E\leq 95000

This is because total hours cannot exceed available 470 and total cost cannot exceed amount available

Mathematics
Step-by-step answer
P Answered by PhD

20c+120E\leq 470\\400c+3600E\leq 95000

Step-by-step explanation:

Amount available for interview and training = 95000 dollars

Time available for interview and training = 470 hours.

let c denote the number of candidates they interview and E the number of employees they train.

Interview time = 20c and interview cost = 400c

Training time = 120E and training cost = 3600E

Thus total time = 20c+120E and total cost = 400c+3600#

The inequality is

20c+120E\leq 470\\400c+3600E\leq 95000

This is because total hours cannot exceed available 470 and total cost cannot exceed amount available

Mathematics
Step-by-step answer
P Answered by PhD
Correct question:
It takes 20 hours and $400 to interview a candidate, and it takes 120 hours and $3600 to train an employee.
A company has less than $95000 to interview and train employees, and it wants to spend at most 470 hours to do so.
-Let C denote the number of candidates they interview and E the number of employees they train
-Write an inequality that represents the condition based on the number of dollars the company can spend.
-Write an inequality that represents the condition based on the number of hours the company wants to spend.

Answer: 400x+3600y<95000;
20x+120y<470.

Explanation:
The first thing we need to do is to identify the characteristics of this problem. As you can see, this situation has restriction, limitations on how much money and time they can spend.
In mathematics, restrictions are expressed with inequalities, because it gives us the power to express in terms of more or less than something. When we have this inequality-restrictions problems, it's very helpful to organise all info, so according to the problem, we have:
Candidates (x): $400, 20 hr;
Employees (y): $3600, 120 hr;
Max.: $95000, 470 hr.
We this organisation, we can easily find expressions, the important thing here is to put together similar variables, money with money and time with time.
So, you can see that, the maximum money they can spend is 95000, and the maximum time is 470 hours, which give us:
400x+3600y<95000;
20x+120y<470.
As you can see, for money inequality, we used < (less than), and for hours we used ''less or equal than''. This difference is because in the text it says that they has less than 95000 (not equal than 95000), and for hours they have at most 470 (meaning that this is a maximum, 470 and below that number).
Therefore, those two inequality express the restriction about money and time limitations for candidates and employees.
Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 

Try asking the Studen AI a question.

It will provide an instant answer!

FREE