17.08.2022

If x varies inversely as t, and x = 8 when t = 6, find t when x = 12-
=

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09.07.2023, solved by verified expert
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t = 4

Step-by-step explanation:

given x varies inversely as t , then the equation relating them is

x = If x varies inversely as t, and x = 8 when t, №18009741, 17.08.2022 15:29  ← k is the constant of variation

To find k use the condition x = 8 when t = 6 , then

8 = If x varies inversely as t, and x = 8 when t, №18009741, 17.08.2022 15:29 ( multiply both sides by 6 )

48 = k

x = If x varies inversely as t, and x = 8 when t, №18009741, 17.08.2022 15:29 ← equation of variation

when x = 12 , then

12 = If x varies inversely as t, and x = 8 when t, №18009741, 17.08.2022 15:29 ( multiply both sides by t )

12t = 48 ( divide both sides by 12 )

t = 4

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Mathematics
Step-by-step answer
P Answered by Specialist

t = 4

Step-by-step explanation:

given x varies inversely as t , then the equation relating them is

x = \frac{k}{t}  ← k is the constant of variation

To find k use the condition x = 8 when t = 6 , then

8 = \frac{k}{6} ( multiply both sides by 6 )

48 = k

x = \frac{48}{t} ← equation of variation

when x = 12 , then

12 = \frac{48}{t} ( multiply both sides by t )

12t = 48 ( divide both sides by 12 )

t = 4

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P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

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For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

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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

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The answer is in the image 

The answer is in the image 

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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

The answer is in the image 

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

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The solution is given in the image below

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