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KonstantinChe [14]
3 years ago
6

A tank with a capacity of 500 gal originally contains 200 gal of water with 100 lb of salt in solution. Water containing a salt

concentration of 1 lb/gal enters the tank at a rate of 3 gal/min, and the mixture is allowed to flow out of the tank at the rate of 2 gal/min.
(a) Find the amount of salt in the tank at any time prior to the instant in which the tank begins to overflow.

(b) Find the amount of salt in the tank at the instant in which the tank begins to overflow.
Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0

Answer:

A gas tank can indeed overflow if it is not full. A gas tank can overflow if the pressure inside of it is too high.

Step-by-step explanation:

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If someone can explain this I will greatly appreciate it. I don’t really understand it.
erma4kov [3.2K]

Answer:

The second answer choice.

Step-by-step explanation:

6 0
3 years ago
Amy reached into a bag, recorded the color of the tile she picked, returned the tile and drew again. These are the tiles she has
Vedmedyk [2.9K]

Answer:

(a) P(next ball with blue) =  \frac{3}{10}       (b)  P(Not to be red) = 1-\frac{2}{5} =\frac{3}{5}

(c)  P(drawing 70 times yellow ball) = \frac{1}{10} \times 70 = 7.

Step-by-step explanation:

Given that,

The total outcomes of the color of tile are :-

Red , Red, Blue, Yellow, Blue, Red, Green, Red, Blue, Green.

From the Question,

Total number of outcomes = 10

(a) What is the probability that her next draw will be blue ?

        Red = 4,

        Blue = 3,

        Green = 2,

        Yellow = 1.

   P(next ball with blue) =  \frac{3}{10}.

(b) What is the probability that her next draw will NOT be red?

    P(Red ball) =  \frac{4}{10} = \frac{2}{5}

But we have to find

   P(Not to be red) = 1-\frac{2}{5} =\frac{3}{5}

(c) If Amy draws 70 more times with the same tiles from the question above, what probability would you expect a yellow?

  P(Yellow ball) =  \frac{1}{10}

drawing it 70 times we get the probability

   P(drawing 70 times yellow ball) = \frac{1}{10} \times 70 = 7.

5 0
3 years ago
A man has 1 coins in his pocket, all of which are dimes and quarters. Aif the total value of his change is $2.75, how many dimes
VLD [36.1K]

Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: number of dimes in his pocket.
  • Variable y: number of quarters in his pocket.

He has a total of 14 coins, hence:

x + y = 14 -> y = 14 - x.

They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:

0.1x + 0.25y = 2.75

Since y = 14 - x:

0.1x + 0.25(14 - x) = 2.75

x = (0.25*14 - 2.75)/0.15.

x = 5.

y = 14 - x = 14 - 5 = 9.

There are 5 dimes and 9 quarters in his pocket.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0
2 years ago
Double my tens digit to get my ones digit and double me and I am less than 50
guajiro [1.7K]
Double my tens digit to get my ones digit and double me and i am less than 50? 
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Hope I helped, good luck!
7 0
3 years ago
X intercept f(x)=(x+4)^2
natali 33 [55]

Answer:

<h2>-4</h2>

Step-by-step explanation:

Given the function f(x)=(x+4)², <u>the x intercept occurs at f(x)  = 0,</u> substituting f(x) = 0 into the given equation to get the value of x we have;

0 = (x+4)^{2} \\

Taking the square root of both sides

\sqrt{(x+4})^{2}  = \sqrt{0}\\ x+4 = 0\\

Subtracting 4 from both sides of the equation

x+4-4 = 0-4\\x = -4

Therefore the x intercept of the equation is -4

4 0
3 years ago
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