05.06.2022

The time it takes to complete a certain job is directly proportional to the number of units produced. If it takes 22 minutes to proficiently 18 units, how many units are produced in 33 minutes?

. 1

Step-by-step answer

09.07.2023, solved by verified expert
Unlock the full answer

27 units

Step-by-step explanation:

let t represent time and n represent number of units

given t is directly proportional to n then the equation relating them is

t = kn ← k is the constant of proportion

to find k use the condition t = 22, n = 18 , then

22 = 18k ( divide both sides by 18 )

The time it takes to complete a certain job is, №18010517, 05.06.2022 00:41 = The time it takes to complete a certain job is, №18010517, 05.06.2022 00:41 = k

t = The time it takes to complete a certain job is, №18010517, 05.06.2022 00:41 n ← equation of variation

when t = 33 , then

33 = The time it takes to complete a certain job is, №18010517, 05.06.2022 00:41 n ( multiply both sides by 9 )

297 = 11n ( divide both sides by 11 )

27 = n

27 units are produced in 33 minutes

It is was helpful?

Faq

Mathematics
Step-by-step answer
P Answered by Specialist

27 units

Step-by-step explanation:

let t represent time and n represent number of units

given t is directly proportional to n then the equation relating them is

t = kn ← k is the constant of proportion

to find k use the condition t = 22, n = 18 , then

22 = 18k ( divide both sides by 18 )

\frac{22}{18} = \frac{11}{9} = k

t = \frac{11}{9} n ← equation of variation

when t = 33 , then

33 = \frac{11}{9} n ( multiply both sides by 9 )

297 = 11n ( divide both sides by 11 )

27 = n

27 units are produced in 33 minutes

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 solution is in the following image

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

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

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

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