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2 years ago

13

When Shane got his water bill in January, he was shocked! He had used 143.43 gallons of water. About how much did he use each da

y?

1 answer:

Alinara [238K]2 years ago

6 0

There are 31 days in january, divide 143.43 by 31 to get your answer
answer is 4.63 gallons (i rounded)

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Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours th

Allisa [31]

Answer:

3 1/4 + 2x ≥ 6

Step-by-step explanation:

Let X equal the remaining time she needs to practice.

You would have 2x

The combined total needs to be 6 hours or greater.

You need to add the amount she already practiced to 2x.

Now you have: three and one fourth + 2x

This needs to be greater than or equal to 6.

I hope this helps you :)

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3 years ago

A tank contains 1600 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the tank at the rate 2 L/min, and

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Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of

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and flows out at a rate of

(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min

Then the net flow rate is governed by the differential equation

$\dfrac{\mathrm dS(t)}{\mathrm dt}=\dfrac8{100}-\dfrac{S(t)}{800}$

Solve for S(t):

$\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{S(t)}{800}=\dfrac8{100}$

$e^{t/800}\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{e^{t/800}}{800}S(t)=\dfrac8{100}e^{t/800}$

The left side is the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/800}S(t)\right]=\dfrac8{100}e^{t/800}$

Integrate both sides:

$e^{t/800}S(t)=\displaystyle\frac8{100}\int e^{t/800}\,\mathrm dt$

$e^{t/800}S(t)=64e^{t/800}+C$

$S(t)=64+Ce^{-t/800}$

There's no sugar in the water at the start, so (a) S(0) = 0, which gives

$0=64+C\impleis C=-64$

and so (b) the amount of sugar in the tank at time t is

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As $t\to\infty$ , the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.

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3 years ago

Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explore

Xelga [282]

Answer: 36+4h=60

36+4h-36=60-36

4h=24

4h÷4=24÷4

h=6

So, after the move they can spend 6 hours there. (6×4=24, 24+36=60, they will spend $60 if they spend 6 hours there, $56 if they spend 5 hours there and don't want to spend $60).

Step-by-step explanation:

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2 years ago

Mrs. jack bought 150 T-shirt for $1920 from a factory calculate the cost of one T-shirt

o-na [289]

Answer: $12.80

Step-by-step explanation:

$1980/ 150 t shirts =$12.80 per shirt

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3 years ago

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Crank

Answer:

A

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3 years ago