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GuDViN [60]
4 years ago
5

Two boys divided $3.36 so that one boy received 12 cents less than three times as much as the other. How was the money divided?

Mathematics
2 answers:
JulijaS [17]4 years ago
5 0

Answer:

first one take 1.5$ and the second one take 1.86$

Step-by-step explanation:

stepan [7]4 years ago
5 0

x + y = 3.36 --> the boys are splitting $3.36

x = 3y - .12 --> one boy received $.12 less than 3 times as much as the other

--> substitute the second equation for the x in the first equation

(3y - .12) + y = 3.36 --> combine like terms

4y - .12 = 3.36 --> add .12 to both sides of the equation

4y = 3.48 --> divide both sides by 4

y = .87

the other boy gets $0.87

substitute into x = 3y - 12

x = 3(.87) - .12

x = 2.61 - .12

x = 2.49

the first boy gets $2.49

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3 years ago
if fifty cents is divided equally among three friends there will be some cents left how many cents will be left
HACTEHA [7]
Greetings!

This can be solved by dividing 50 by 3 (the amount of friends, you're spiting the money with.)

50/3=16.6667

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What is 4x + 3 = 2x +7
VARVARA [1.3K]
Bring like terms together
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4 0
4 years ago
Read 2 more answers
Water leaks from a vertical cylindrical tank through a small hole in its base at a rate proportional to the square root of the v
Dmitry_Shevchenko [17]

Answer:

Therefore the tank will be half empty after 10.10 days.

Therefore there will be 2735.53 liters water in the tank after 4 days.

Step-by-step explanation:

Given that,the square root of the volume of remaining water in the tank is proportional to the rate of water leakage.

Let V be volume of water at any instant time t.

\therefore \frac{dV}{dt} \propto  \sqrt V

\Rightarrow \frac{dV}{dt}= k \sqrt V

where k is constant of proportionality.

\Rightarrow \frac{dV}{\sqrt V}= k \ dt

Integrating both sides

\Rightarrow \int \frac{dV}{\sqrt V}= \int k \ dt

\Rightarrow 2\sqrt V=kt+C     [ C is integrating constant]

At t=0, the volume of water is 350 liters

2\sqrt{350}=k.0+C

\Rightarrow C=2\sqrt{350}

The equation becomes

\Rightarrow 2\sqrt V=kt+2\sqrt{350}

Again at t=1, the volume of water is(350-20)liters=330 liters

2\sqrt {330}=k.1+2\sqrt{350}

\Rightarrow k=2\sqrt {330}-2\sqrt{350}

The equation becomes

2\sqrt V=2(\sqrt{330}-\sqrt{350} ) t+2\sqrt{350}

\Rightarrow \sqrt V=(\sqrt{330}-\sqrt{350} ) t+\sqrt{350}

Now when the tank is half empty,then V= (350÷2) liters = 175 liters

\sqrt {175}=(\sqrt{330}-\sqrt{350} ) t+\sqrt{350}

\Rightarrow (\sqrt{330}-\sqrt{350} ) t=\sqrt{175}-\sqrt{350}

\Rightarrow t=\frac{\sqrt{175}-\sqrt{350}}{ (\sqrt{330}-\sqrt{350} )}

\Rightarrow t=10.10 days

Therefore the tank will be half empty after 10.10 days.

After 4 days,

\sqrt V=(\sqrt{330}-\sqrt{350} ) (4)+\sqrt{350}

\Rightarrow \sqrt V= 16.54

\Rightarrow V= 373.53 liters

Therefore there will be 2735.53 liters water in the tank after 4 days.

6 0
4 years ago
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