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geniusboy [140]
3 years ago
13

A barrel had 20 liters of water. water leaked out from the barrel at a constant rate. After 24 hours, 14 liters of water was lef

t in the tank. How many liters of water leaked out per hour?
Mathematics
1 answer:
Dmitry [639]3 years ago
7 0

let speed of water leaking out = x/h

water left in the tank after 24h=20-(speedxtime)

=20-(24x)

=14

20-24x=14

24x=6

x=1/4

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joja [24]

Answer:

If you have a quantity X of a substance, with a decay constant r, then the equation that tells you the amount of substance that you have, at a time t, is:

C(t) = X*e^(-r*t)

Now, we know that:

We have 2000g of substance A, and it has a decay constant of 0.03 (i assume that is in 1/year because the question asks in years)

And we have 3000 grams of substance B, with a decay constant of 0.05.

Then the equations for both of them will be:

Ca = 2000g*e^(-0.03*t)

Cb = 3000g*e^(-0.05*t)

Where t is in years.

We want to find the value of t such that Ca = Cb.

So we need to solve:

2000g*e^(-0.03*t) = 3000g*e^(-0.05*t)

e^(-0.03*t) = (3/2)e^(-0.05*t)

e^(-0.03*t)/e^(-0.05*t) = 3/2

e^(t*(0.05 - 0.03))  = 3/2

e^(t*0.02) = 3/2

Now we can apply Ln(x) to both sides, and get:

Ln(e^(t*0.02)) = Ln(3/2)

t*0.02 = Ln(3/2)

t = Ln(3/2)/0.02 = 20.3

Then after 20.3 years, both substances will have the same mass.

6 0
3 years ago
A truck is 75% longer than the car. A bus is 30% longer than the truck. How long is the car is the bus is 40 feet long?
Morgarella [4.7K]
Truck is 30% less than bus
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Car is 75% less than truck
30.77 divided by 1.75. = 17.58 feet
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3 years ago
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Answer:

This is not the answer this is the trick to find it

Step-by-step explanation:

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7 0
3 years ago
What number is divisible by both 85 and 51
Vitek1552 [10]
17
85/17 is 5 and 51/17 is 3
7 0
3 years ago
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Solve the system using elimination: Help me please<br><br><br>12x - 8y = -12 <br><br>6x + 4y = -30
LUCKY_DIMON [66]

12x - 8y = -12  

6x + 4y = -30

Multiply the 2nd equation by 2, to make the Y coefficients opposite:

6x + 4y = -30 x 2 = 12x + 8y = -60

Now add the two equations:

12x -8y = -12 + 12x +8y = -60

=  24x = -72

Divide bothe sides by 24 to solve for x:

x = -72/24

x = -3

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Add 36 to each side:

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Divide both sides by -8 to solve for y:

y = 24 / -8

y = -3

X = -3 and y = -3

(-3,-3)

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3 years ago
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