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
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 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

Approximately it is aqual to 1300kg

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

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Try asking the Studen AI a question.

It will provide an instant answer!

FREE