tank a has 100 gallons of water and is being filled at a rate of 2 gallons per hour. tank b has 140 gallons and is being drained at a rate of 6 gallons per hour. how many hours must pass in order for the total amount of water in tank A and B to be the same.

Answer: 648

Step-by-step explanation:

Answer:

1/2 + 10/12. = 1/2 × 6/6 =6/12. 6/12 + 10/12 =16/12. 16/12 = 1 4/12 = 1 1/3

Answer:

choose the 3rd one is the one

[tex] log_{2}(x + 5) + log_{2}(x - 5) = log_{2}(11) \\ = > log_{2}(x + 5) (x - 5) = log_{2}(11) \\ = > log_{2}( {x}^{2} - 25) = log_{2}(11) \\ cancel \: \: \: out \: \: \: log_{2} \: \: \: from \: \: \: both \: \: \: sides \\ {x}^{2} - 25 = 11 \\ = > {x}^{2} = 11 + 25 \\ = > {x}^{2} = 36 \\ = > x = \sqrt{36} \\ = > x = 6[/tex]

x = 6

Hope it helps.

Do comment if you have any query.

Answer:

0.2307 > 0.05, which means that we accept the null hypothesis, that is, that the population proportion in favor of candidate A is close to 0.79, that is, it is not significantly more than 0.79.

Step-by-step explanation:

We are interested in determining whether the proportion of the population in favor of Candidate A is significantly more than 79%.

This means that the null hypothesis is:

[tex]H_{0}: p = 0.79[/tex]

And the alternate hypothesis is:

[tex]H_{a}: p > 0.79[/tex]

We know that the p-value is 0.2307. At the 0.05 level of significance, it can be concluded that the proportion of the population in favor of candidate A is?

0.2307 > 0.05, which means that we accept the null hypothesis, that is, that the population proportion in favor of candidate A is close to 0.79, that is, it is not significantly more than 0.79.

Divide the number of cubic feet that it can circulate by the number cubit feet per cubic yard. That gives the number of cubic yards that it can circulate. It can circulate about 10.37 cubic yards per minute.

The air conditioning system can be circulate in 15.92 cubic yards of air per minute.

Here,

An air conditioning system can circulate 430 cubic feet of air per minute.

We have to find the cubic yards of air which can be circulate in per minute.

What is the value of cubic yard in cubic feet?

1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.

Now,

1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.

Hence, Cubic yards of air circulate in per minute = 430/27 = 15.92

So, The air conditioning system can be circulate in 15.92 cubic yards of air per minute.

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Answer:

Step-by-step explanation:

Each installment is 1/12 of a yearly income:

Annual salary=32000

Monthly salary

Answer:

Step-by-step explanation:

Root of forty rational root of forty times negative one irrational, root of forty times negative one rational, root of forty plus negative one irrational.

I believe this is right because rational should be positive and ir should be negative.......

(15, 10)-00=n4

substitute all the characters and then you will get (-4, 20)

Answer:

40

Step-by-step explanation: im sorry i dont know how to explain but hope this helps!

Answer:

ik what ur doing

Step-by-step explanation:

thsdpgiojojotnhtofkghbtnkjwalhbwgjknhbwthjgl;n: it is A aka 40 ft

Answer:

B

Step-by-step explanation:

hard to explain xD

Answer:

#2

Step-by-step explanation:

1x60+45=105

2x60+45=165

3x60+45=225

4x60+45=285

Answer:

4x-20

Step-by-step explanation:

2+5x-1x-22

First, rearrange to make life temporarily easier.

5x-1x+2-22

Then combine like terms.

5x-1x=4x

2-22=-20

So we have 4x-20

That is simplified as far as it can.

---

hope it helps

Answer:

u  16

Step-by-step explanation:

Answer:

1) Congruent

2) Vertical angles

3) 12x - 18 = 8x + 10

4) x = 7

Step-by-step explanation:

1)

Congruent because they're vertical angles.

2)

Vertical angles

3)

12x - 18 = 8x + 10

4)

12x - 18 = 8x + 10

12x - 8x = 10 + 18

4x = 28

x = 7

Answer:

68 in^2

Step-by-step explanation:

the shape is a trapezoid

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² = 6² + height²

100 = 36 + height²

height = 64

the square root of 64 is 8

the height is 8

1/2 x (8 + 9) x 8 = 68in^2

Answer:

To use the elimination method one coefficient of either x or y must be the same number with opposite signs, so the ordered pair is (-10, -8)

Step-by-step explanation:

2(-x+y=2) Make one of the coefficients equal, with opposite signs.

2x-3y=4  Combine equations.

-y=8 Solve, y=-8

Then find x, -x-8=2

-x=10, so x= -10

(-10, -8) is your answer.

Answer:

15⁰

Step-by-step explanation:

a straight line is 180⁰. 180-165=15

Step-by-step explanation:

Since a line is 180°, we can add 165 to x equal to 180

[tex]165+x=180[/tex]

[tex]x=15[/tex]

Hope that helps :)

Answer:

Quadratic functions are those where their rate of change changes at a constant rate. Exponential functions are those where their rate of change is proportional to itself.

An example of a quadratic function would be the shape that a ball makes when you throw it. Gravity causes a constant acceleration, the ball slows down as it is moving up, and then it speeds up as it comes down.

An example of an exponential function would be the population of a bacterium as long as there is enough space and nutrients or how your money grows with compound interest in a bank.

A quadratic function is one in the form

f(x)=ax2+bx+c  

It’s rate of change (first derivative) is linear.

f′(x)=2ax+b  

The rate of the rate of change (second derivative) is constant.

f′′(x)=2a  

Quadratics are then the solutions to the differential equation

f′′=C  

An exponential function is one in the following form.

g(x)=Aekx  

It’s rate of change is another exponential function.

g′(x)=Akekx  

So exponentials are the solutions to the differential equation

g′=kg

Step-by-step explanation:

Yes. : )

Answer:

(1,2) and (5,4)

Step-by-step explanation:

Hello There!

I had made a graph to make it easier to understand.

The points given to us are represented by the green points

The points that would make a rectangle with lines that are parallel with the x axis would be (1,2) and (5,4) (represented by the red points)

As you can see the points added had created a rectangle with sides that are parallel with the x axis

This meets all of the requirements therefore the other two vertices would have the points (1,2) and (5,4)

Answer:

x = P/2m

Step-by-step explanation:

x is the subject of the formula, and we can express it as: x = P / (2m)

To make x the subject in the formula P = 2mx, we can rearrange the equation to isolate x on one side.

Starting with the equation:

P = 2mx

To solve for x, divide both sides of the equation by 2m:

P / (2m) = (2mx) / (2m)

This simplifies to:

P / (2m) = x

Therefore, x is the subject of the formula, and we can express it as:

x = P / (2m)

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Answer:

p = 43 :)

Your welcome DaBaby

Answer:

whats the question? theres no context other than that little bit

Answer:

The fence is 40 feet long.

Step-by-step explanation:

I suppose the question is "What is the length of the entire fence?"

Formula

3/8 x = 15                     Multiply both sides by 8

8*(3/8)x = 15*8             Cancel

3x = 120                       Divide by 3

3x/3 = 120/3

x = 40

9514 1404 393

Answer:

  no

Step-by-step explanation:

The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

We can use the values ...

  (x1, y1) = (1, -19)

  (x2, y2) = (-2, -7)

Putting these into the formula gives ...

  m = (-7 -(-19))/(-2 -1) = 12/-3 = -4

The slope is -4, not -1/4. Mark is incorrect.

Answer:

simple answer in edmentum

Step-by-step explanation:

Answer:

26 in each box

Divide the total of 338 peanuts by 13 boxes (338÷13=26)

Answer:

863

Step-by-step explanation:

From reference sheet.

Plug in values.

Area≈863.465≈863

Evaluate and round.