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tankabanditka [31]
3 years ago
13

I need help on number 8 and 10. thanks!

Mathematics
2 answers:
ch4aika [34]3 years ago
7 0
No 10 is false for sure
Genrish500 [490]3 years ago
5 0
10 is never. I don’t know the rest, I’m sorry
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Which of the following rational numbers is equal to 3/5?
Vedmedyk [2.9K]
3/5 = 60%
20 ÷ 5 = 4
3 x 4 = 12

Answer is A) 12/20
4 0
3 years ago
Read 2 more answers
Someone please help out
exis [7]

Answer:

39+0.15m \leqslant 50

Step-by-step explanation:

From the question, Diana wants her total bill to be less than $50.

Diana pays a fixed monthly bill of

$39 for her mobile phone and an additional

$0.15 per minute for phone internet service.

The bill Diana pays for m minutes of using the internet is $0.15m in a month.

The total monthly bill becomes,

39+0.15m

The maximum bill she wants to pay is $50.

\implies39+0.15m \leqslant 50

This inequality can be solved to determine the number of available minutes.

4 0
3 years ago
Problem 10: A tank initially contains a solution of 10 pounds of salt in 60 gallons of water. Water with 1/2 pound of salt per g
AysviL [449]

Answer:

The quantity of salt at time t is m_{salt} = (60)\cdot (30 - 29.833\cdot e^{-\frac{t}{10} }), where t is measured in minutes.

Step-by-step explanation:

The law of mass conservation for control volume indicates that:

\dot m_{in} - \dot m_{out} = \left(\frac{dm}{dt} \right)_{CV}

Where mass flow is the product of salt concentration and water volume flow.

The model of the tank according to the statement is:

(0.5\,\frac{pd}{gal} )\cdot \left(6\,\frac{gal}{min} \right) - c\cdot \left(6\,\frac{gal}{min} \right) = V\cdot \frac{dc}{dt}

Where:

c - The salt concentration in the tank, as well at the exit of the tank, measured in \frac{pd}{gal}.

\frac{dc}{dt} - Concentration rate of change in the tank, measured in \frac{pd}{min}.

V - Volume of the tank, measured in gallons.

The following first-order linear non-homogeneous differential equation is found:

V \cdot \frac{dc}{dt} + 6\cdot c = 3

60\cdot \frac{dc}{dt}  + 6\cdot c = 3

\frac{dc}{dt} + \frac{1}{10}\cdot c = 3

This equation is solved as follows:

e^{\frac{t}{10} }\cdot \left(\frac{dc}{dt} +\frac{1}{10} \cdot c \right) = 3 \cdot e^{\frac{t}{10} }

\frac{d}{dt}\left(e^{\frac{t}{10}}\cdot c\right) = 3\cdot e^{\frac{t}{10} }

e^{\frac{t}{10} }\cdot c = 3 \cdot \int {e^{\frac{t}{10} }} \, dt

e^{\frac{t}{10} }\cdot c = 30\cdot e^{\frac{t}{10} } + C

c = 30 + C\cdot e^{-\frac{t}{10} }

The initial concentration in the tank is:

c_{o} = \frac{10\,pd}{60\,gal}

c_{o} = 0.167\,\frac{pd}{gal}

Now, the integration constant is:

0.167 = 30 + C

C = -29.833

The solution of the differential equation is:

c(t) = 30 - 29.833\cdot e^{-\frac{t}{10} }

Now, the quantity of salt at time t is:

m_{salt} = V_{tank}\cdot c(t)

m_{salt} = (60)\cdot (30 - 29.833\cdot e^{-\frac{t}{10} })

Where t is measured in minutes.

7 0
3 years ago
The number of children at the liberty was 3 times the number of adults. The total number of people at the liberty was 48. How ma
Black_prince [1.1K]

Answer:  32

Step-by-step explanation:

48 people at the liberty and there are 3 times the number of adults 48 divided by 3 would be 16 kids and 48 - 16 would be 32

5 0
3 years ago
What is -4√12+√75 in the simplest radical form?
nekit [7.7K]

Answer: -3\sqrt{3}

Step-by-step explanation:

-4\sqrt{12} + \sqrt{75}

\sqrt{12} can be written as \sqrt{4} x \sqrt{3}

which is the same as 2\sqrt{3}

Also , \sqrt{75} can be written as \sqrt{25} x\sqrt{3} , which is the same as 5\sqrt{3}

Substituting into the main question , we have

-4 (2\sqrt{3} ) + 5\sqrt{3}

= -8\sqrt{3} + 5\sqrt{3}

= -3\sqrt{3}

3 0
3 years ago
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