(4 points) A tank initially contains 50 gallons of brine, with 30 pounds of salt in solution. Water runs into the tank at 6 gallons per minute and the well-stirred solution runs out at 5 gallons per minute. How long will it be until there are 25 pounds of salt in the tank

Answer:

None of the above

Step-by-step explanation: -6(6+2) + 8 = -40 so -66 + 2 +8 = 56 and -66 - 4 = 70

Answer:

Width of the park = 24 / 35 mile

Step-by-step explanation:

Given:

Length of the park = 7/8 mile

Area of rectangular park = 3/5 square mile

Find:

Width of the park

Computation:

Area of rectangular park = Length of the park x Width of the park

3/5 = 7/8 x Width of the park

Width of the park = 24 / 35 mile

y=mx+b

1st one:

m=-3 b=-2

Not sure for proportional

Negative Slope

2nd one:

m=15 b=0

Proportional

Positive Slope

3rd one:

m=-4/3 b=8

Not sure proportional or not

Negative Slope

Answer:

Work shown below!

Step-by-step explanation:

y = -3x - 2

m = -3

b = -2

Non-proportional because it doesn't pass through the origin

Negative Slope

y = 15x

m = 15

b = 0

Proportional because it passes through the origin

Positive Slope

y = -4/3x + 8

m = -4/3

b = 8

Non-proportional because it doesn't pass through the origin

Negative Slope

Answer:

A. 5

Step-by-step explanation:

-6 + 5 = -1

-1 + 5 = 4

4 + 5 = 9

9 + 5 = 14

Answer:

In math, slope is used to describe the steepness and direction of lines

Step-by-step explanation:

Answer:

f{3x}=6x-5

Step-by-step explanation:

There isn't really much to do: if you perform the division between function you get a new function:

[tex]h(x)=\dfrac{g(x)}{f(x)}=\dfrac{3x}{2x-5}[/tex]

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

Area of triangle = 0.5(4)(8) = 16cm² (D).

Answer:

$66.24

Step-by-step explanation:

TIP:

55.20 x 0.15 = 8.28

TAX:

55.20 x 0.05 = 2.76

Answer:

55.20 + 8.28 + 2.76 = 66.24

(Also always tip your server 20% unless they were bad)

it would be 4.5 total

Answer:

4.5 or 4 1/2. Based on the given conditions, formulate: 3 + 3 / 2 Find common denominator and write the numerators

Step-by-step explanation:

MARK A BRAIN LESS

CARRY ON LEARNING

BRAIN LY FAST

Answer:

1. 6 cookies  2. 5/12 of the pan is left

Step-by-step explanation:

42/2=21

21(2/3)= 14

14-8=6

6 cookies were left

1/4+1/3= 3/12+4/12=7/12

5/12 of the pan is left

Answer:

1/2x42 = 21

42-21= 21x1/3= 7

21-7= 14

14-8= 6

santa got 6 cookies

Answer:

Step-by-step explanation:

If you graph both the focus and the directrix you will see that the directrix is below the focus...12 units below to be exact. The focus is on the vertical line x = 4, so the vertex also has an x coordinate (which is actually h since h and k represent the vertex) of 4. The vertex is exactly halfway between the focus and the directrix, so that means that the vertex is at (4, 0). h = 4, k = 0. The standard form for this parabola (we know it opens upwards since the parabola ALWAYS wraps itself around the focus and is directed away from the directrix) is:

[tex](x-h)^2=4p(y-k)[/tex]

p is the number of units between the focus and the vertex, or the vertex and the directrix (which is the same number of units since the vertex is smack dab in the middle of them!). That means that p = 6. Filling in 6 for p, 4 for h, and 0 for k we have:

[tex](x-4)^2=4(6)(y-0)[/tex] and simplify to

[tex](x-4)^2=24y[/tex] which is the first choice you're given.

The equation that shows the parabola when parabola has the focus at (4, 6) and the directrix y = –6 should be considered as the (x – 4)2 = 24y.

In terms of mathematics, a parabola represent the plane curve  in which there is the mirror-symmetrical and should be made of U-shaped.

Since there has the focus at (4, 6) and the directrix y = –6

So the first equation should be considered.

Learn more about parabola here: https://brainly.com/question/8063993

Answer:

4 times

Step-by-step explanation:

The total model is 3 miles, divided by 3/4 equals the multiplication problem 3/1 times 3/4 but use the reciprocal of 3/4 which is 4/3 so it would be 3/1 times 4/3 which is 12/3 which is equivalent to 4. :)

There are 4 times did Eber stop.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Eber ran 3 miles.

And, He stopped to take a break every 3/4 mile.

Now,

Let number of times stop = x

So, We can formulate;

⇒ 3/4x = 3

⇒ x = 3 × 4 / 3

⇒ x = 12/3

⇒ x = 4

Thus, There are 4 times did Eber stop.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

Percent decrease = 10.43% (Approx)

Step-by-step explanation:

Given:

Old price = $1.15 million

New price = $1.03 million

Find:

Percent decrease

Computation:

Percent decrease = [(Old price - new price)/Old price]100

Percent decrease = [($1.15 million - $1.03 million)/$1.15 million]100

Percent decrease = [($0.12 million)/$1.15 million]100

Percent decrease = 10.43% (Approx)

Answer:

14

Step-by-step explanation:

Answer:

[tex]14.16\\15. a) 14[/tex]

Step-by-step explanation:

[tex]14. We\ are\ given\ that,\\The\ assumed\ number\ x\ is\ 4\ more\ than\ 12\\Hence,\\x=4+12\\x=16\\Lets\ see\ that\ x=16\ as\ a\ solution,\ matches\ with\ the\ other\ information\ provided.\\We\ are\ also\ given\ that,\\x<20, 16\ is\ less\ than\ 20\ too.\\x>13, 16\ is\ greater\ than\ 13\ too.\\x<17, 16\ is\ less\ than\ 17\ too.\\As\ all\ the\ conditions\ are\ satisfied,\ x=16\ as\ a\ solution\ is\ verified.\\[/tex]

[tex]15. a)\\Let\ the\ assumed\ no.\ be\ y\\Here,\ we\ are\ given\ the\ following\ information\ about\ y:\\y>10,\\y<20\\y>12\\y<15\\Hence,\\The\ number\ y\ lies\ in\ between\ 12-15.\\Hence,\\y\ could\ either\ be\ 13,14.\ But\ the\ phrase\ 'Of\ the\ numbers\ are\ left\\ I\ am\ the\ greater\ number', tells\ us\ that,\ y\ is\ the\ greater\ no.\ among\ 13\ and\ 14.\\Hence\ as\ 14>13,\\y=14[/tex]

Answer:

We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level

Step-by-step explanation:

p₀  = 12 %     p₀  = 0,12

From sample  p = 53/500     p = 0,106

Test Hypothesis

Null Hypothesis                                      H₀                       p = p₀

Alternative Hypothesis                         Hₐ                       p < p₀

p₀*n  = 0,12*500 = 60

q₀ * n = 0,88 * 500 = 440

Then the binomial distribution can be approximate to a normal distribution

The significance level  α = 0,05     CI = 95 %

We need to develop a one-tail test (to the left ) find p-value and compare it with α.

p(s) = ( p - p₀ ) / √ p*q /n

p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500

p(s) = - 0,014 / 0,015

p(s) = - 0,93

With this P score we find the area under the bell shape curve

p-value = 0,1762 and compare that area with α = 0,05

Then p-value > 0,05

Therefore we accept H₀

Answer:

one

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

since 12 - 7 is in the- um- whatever these- ( )- things are called (I forgot), you do it first. 12 - 7 is 5.

Next you do 6 x 5 which gives you your final answer of 30.

(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!

- •Trix•

( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

Answer:

A) A and B are independent events because P(A∣B) = P(A).

Step-by-step explanation:

Egde 2020

Answer: OPTION A

Step-by-step explanation:

Given:

Focus of a parabola is (0, -12) and directrix is y = 12.

To find:

The equation of the parabola.

Solution:

General form of a parabola is

[tex](x-h)^2=4p(y-k)[/tex]       ...(i)

where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

Focus is (0, -12).

[tex](h,k+p)=(0,-12)[/tex]

[tex]h=0[/tex]

[tex]k+p=-12[/tex]         ...(ii)

Directrix is y = 12.

[tex]k-p=12[/tex]      ...(iii)

Adding (ii) and (iii), we get

[tex]2k=0[/tex]

[tex]k=0[/tex]

Putting k=0 in (ii), we get

[tex]0+p=-12[/tex]

[tex]p=-12[/tex]

Putting h=0, k=0 and p=-12 in (i).

[tex](x-0)^2=4(-12)(y-0)[/tex]

[tex]x^2=-48y[/tex]

[tex]-\dfrac{1}{48}x^2=y[/tex]

Therefore, the required equation of parabola is [tex]y=-\dfrac{1}{48}x^2[/tex].

9514 1404 393

Answer:

  y = 3 -x

Step-by-step explanation:

Subtract x from both sides of the equation.

  x -x +y = 3 -x

  y = 3 - x

Answer:

y=3-x

explanation

its that

Given :

To find :

Solution :

As it is given that the length of rectangle is 6 m more than the breadth.

Thus, let us consider the Breadth as ''x''.

Then the Length will be ''x+6''.

We know that,

Perimeter of rectangle = 2(l + b)

According to Question,

➠Perimeter of rectangle = 2(x+6+x)

➠60 = 2(x+6+x)

➠60 = 2(x+x+6)

➠60 = 2(2x + 6)

➠60 = 4x + 12

➠60 - 12 = 4x

➠48 = 4x

➠48/4 = x

➠12 = x

______________________

∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.

And the Length of the rectangle will be,

↠x + 6

↠12 + 6

↠18 m

Hence,

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

A) A ∩ C means in both sets, in this case A and C, and in this question all students both over 20 years and with social stratum of 1, 2 and 3.

B) A ∪ B means in either set or both, both will do, in this case meaning all students in A or B or any in between, and in this question all students over 20 years and/or are women.

C) As is already explained above, B  ∪ C means in this question all students that are women and/or have social stratum of 1, 2, and 3.

D) This is the same as A). Refer to A).

E) A ∪ C is already explained above, and in this question means all students over 20 years and/or have social stratum of 1, 2, and 3.

F) Same as E). Refer to E).

G) Same as A). Refer to A).

H) A ∩ B ∩ C means in students in all three sets simultaneously, and in this question all students that are over 20 years, women, and with social stratum of 1, 2 and 3.

I) A - B, in set theory would mean all students in A but not in B, in other words the difference. In this question, it would mean all students over 20 years that are not women.

J) (A - B) ∩ C would mean, as already explained above, all students over 20 years that are not women and with social stratum of 1, 2 and 3. Usually, it's easier to treat all unions or intersections or whatnot inside brackets as one whole thing, kind of like how you do algebra.

K) B 4 C is nonsensical, there is nothing in set theory like this.

L) Same as K).

The given description between C) and D) would be that they are the same, and comparing F) and G), it seems that the question is trying to make the point that they are almost the same but defined differently.

Step-by-step explanation:

Hope this helped!

Answer:

The answer is 11 Units

Answer:

12

Step-by-step explanation:

base*height=6*2

6*2=12

Answer:

50/3

Step-by-step explanation:

3 1/3 MULTIPLY 3 times 3 plus 1 to to get the anwser in a fraction

get 10/3 and MULTIPLY by 5/1

multiply and get 50/3

That is it. Hope this helps.

:)

Answer:

Step-by-step explanation: