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?

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Step-by-step answer

09.07.2023, solved by verified expert
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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

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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
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

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 

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

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

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

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