Ruth got to the library at 1030 am.
She stayed at the library for 50 minutes.
Then she walked home.
Ruth took 1 1/4 hours to walk home.
(b) At what time did Ruth get home?

Answer:

The numbers are;

x = 100/3,  y = 100/3,  z = 100/3

Step-by-step explanation:

Given the data in the question;

so let the numbers be; x , y and z

so

x + y + z = 100

now

G(x,y,z) = x + y + z - 100

F(x,y,z) = xyz

Fx = yz, Gx = 1

Fy = xz, Gy = 1

Fz = xy, Gz = 1

Fx = λ × Gx

yz = λ

Similarly, xz = lambda

And xy = lambda

From above clearly, x = y = z

x + y + z = 100

so

3x = 100

x = 100/3

since, x = y = z therefore, each number is equal to 100/3

x = 100/3,  y = 100/3,  z = 100/3

We want to find 3 positive numbers such that their sum is 100 and the product is maximum.

The maximum product is P = 37,025.93

Let's say that our 3 numbers are:

A, B, and C.

We must have:

A + B + C = 100

The product of these 3 numbers is:

P = A*B*C

For the restriction, we can write:

A = 100 - B - C

Now we can replace that in the product equation to get:

P = (100 - B - C)*B*C

P = 100*B*C - C*B^2 - B*C^2

Now we want to maximize this, to do it, we need to find the zeros of the derivate of the function. This is a two-variable function, but the dependence on C is exactly the same as the dependence on B, so we can find the zero of deriving with respect to one of these only.

dP/dB = 100*C - 2*C*B - C^2 = 0

             C*(100 - 2*B - C) = 0

One solution is C = 0, the other is:

C = 100 - 2*B

And from the first restroctopm:

A + B + C = 100

we can get:

C = 100 - A - B

Then:

100 - A - B = 100 - 2*B

Then we get A = B

And if we derive the equation for C instead of B, we will get similar results that will lead to:

A = B = C.

This is what maximizes the product, then we have:

A + B + C = 3*A = 100

A = 100/3 = 33.33

P = (33.33)^3 = 37,025.93

This is the maximum product.

If you want to learn more, you can read:

https://brainly.com/question/11212148

Answer:

23.8

Step-by-step explanation:

68.4 - 44.6 = 23.8

Answer:

QR is 23.8

because 68.4 - 44.6 =23.8

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Look at the y-values for both dots, the open circle is -7 and the closed circle is 5. The closed circle means y is going to be equal to, so the greater than sign is made to be equal.

Answer:

True

Step-by-step explanation:

Answer:

My best conclusion (simply put) is that you had a higher score than the average class.

Step-by-step explanation:

It obvious that the green dots is above the averages of both bars. It would be safe to think that you scored higher than the average of the entire class in both predictions and parabolas.

Answer:

doesn't it give you the angles for each letter? If that is the case then it would be 33

Step-by-step explanation:

May I have brainliest please? :)

Answer:

RT

Step-by-step explanation:

RT

Since angle S is the smallest angle, the smallest side is opposite that.

Answer:

can bcz triangle has 3 sides here 3 cm are there

Step-by-step explanation:

This graph shows linear

y = f(x) and y = g(x).

Find the solution to the equation f(x) - g(x) = 0

Answer:

he will need 4 cans to make it 100 %compleate

Answer:

the answer is x.

Step-by-step explanation:

the x values are only being used once, therefore, it is a function

Answer:

when u search it one by one

Answer:

If a shape is a square, then it is a quadrilateral

Step-by-step explanation:

Quadrilateral means four sided shape, so automatically, because a square has 4 sides, you know it is a quadrilateral. But not all quadrilaterals are a square, you could have a rectangle which is four sides so you know that this statement is wrong "If a shape is a quadrilateral, then it is a square." Therefore, the answer is "If a shape is a square, then it is a quadrilateral

Answer:

112

Step-by-step explanation:

beacuse 180-68=112

Answer:

Yes it is

Step-by-step explanation:

Because

2) x (sqrt 3) times (sqrt 12)

Two is also equivalent to sqrt of 4. The operation may be expressed as,

                                  (sqrt 4) x (sqrt 3) x sqrt (12)

The product is sqrt (144). This gives an answer of 12 and it is rational.

So, the answer is Yes!

Hope this helped! :)

May i have brainliest!

Answer:

Yes it is

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

12 is the answer and 12 is a rational number

Radicand = The number under the inclusion bar of the radical sign.

Product = The result of two numbers being multiplied together.

Factor = One of two or more expressions that are multiplied together to get a product.

Answer: Hope this helps.

Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. So A.

Step-by-step explanation:

We don't actually know what it was that Luis was estimating. Assuming he was estimating the cost of the apples he wants to buy, rounding up both the price and quantity will give an estimate of $2/lb × 7 lb = $14, which is more than he has to spend.

Luis could refine his estimate by realizing the actual price is 10% less than the vaue he used, and the actual quantity is not quite 6% less than the value he used. The amount Luis has is about 14% less than the cost he estimated, so considering estimation errors, he probabaly has enough money.

The best choice among the answers is the one shown above.

Answer:

20%

Step-by-step explanation:

6.25 times 20% or 0.2 = 1.25. therefore she tipped the sever 20% of the total cost of her meal.

Answer:

y = -3x - 5

Step-by-step explanation:

The equation of a line is given as either:

[tex]y = mx + b[/tex]  where m is the slope, and b is the y-intercept.

or

[tex]y-y_{1} = m(x-x_{1} )[/tex]  where given that you have a point (x, y), y₁ is the y-value of the point, m is the slope, and x₁ is the x-value of the point.

We can just plug in the point (0, -5) into the second equation and -3 for the slope.

However, (0, -5) tells us that this point must be a y-intercept, since the x-value of that point is 0. So, we can also just plug into the first equation -5 for the y-intercept and -3 for the slope.

So, we get:

y = -3x + (-5)

Which simplifies into:

y = -3x - 5

Answer:

i dont know

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If you plug in 5 1/3 to the equation, the result is 6, meaning that the point lies on the line.

Answer:

x=4

y=1

Step-by-step explanation:

Answer: I think its 45 days

Step-by-step explanation: hope this helps

Answer:

9x - 2x + 62 = 9x + 24

Number of correct answer each obtained = 19

Step-by-step explanation:

Given that:

Number of correct answers = x

POINTS for correct answers = 9

POINTS for incorrect answers = - 2

SCHOOL A:

Number of correct answers = x

Number of incorrect answers = x

Initial point = 62

Initial point + 9(number of correct answers) + - 2(number of incorrect answers)

62 + 9x - 2x

SCHOOL B :

Number of correct answers = x

Number of incorrect answers = 0

Initial point = 24

Initial point + 9(number of correct answers) + - 2(number of incorrect answers

24 + 9x

Since they end up tied :

School A = School B

62 + 9x - 2x = 24 + 9x

9x - 2x + 62 = 9x + 24

Number of correct answers gotten :

9x - 2x + 62 = 9x + 24

7x + 62 = 9x + 24

7x - 9x = 24 - 62

-2x = - 38

x = 19

Hence, Number of correct answers each obtained = 19

Answer:

The Answers are right under you.

Hi

You have two points     A ( X;Y)  and B ( X ; Y)

slope is   :    ( Yb -Ya)   / (Xb -Xa )

                     ( -8 - 6 ) / ( -4 - 3) =   -14 /-7 =  2

slope is   2  

now :  we have  :  2 ( 3) +...  = 6

                                 6 +0 = 6  

equation of  line   is  :   y = 2x  

Answer:

y-18,000=2,750(x-0) --> point-slope

y=2,750x+18,000   --> slope-intercept

-2,750x + y = 18,000  --> standard

Step-by-step explanation:

Linear Modeling

Some situations can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The pool being drained contained initially 18,000 gallons of water. If we set the variable x as the time in hours and y as the remaining gallons of water in the pool, this first point is (0;18,000).

We are also aware that after 2 hours 12,500 gallons of water remain. This gives us the second point as (2;12,500).

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Let's find the equation of the line with the 2 points:

[tex]\displaystyle y-18,000=\frac{18,000-12,500}{2-0}(x-0)[/tex]

Calculating:

[tex]\displaystyle y-18,000=\frac{5,500}{2}(x-0)[/tex]

[tex]y-18,000=2,750(x-0)[/tex]

The equation above is the point-slope form of the line

Simplifying and adding 18,000:

[tex]y=2,750x+18,000[/tex]

The equation above is the slope-intercept form of the line

Moving all the variables to the left side:

[tex]-2,750x + y = 18,000[/tex]

The equation above is the standard form of the line

Answer:

y-18,000=2,750(x-0) --> point-slope

y=2,750x+18,000   --> slope-intercept

-2,750x + y = 18,000  --> standard

Answer:

Step-by-step explanation:

Given

To find

Solution

Answer:

4.

Step-by-step explanation:

(x^2 + 7x - 9) + (3x^2 - 2x) + (x^2 + 7x - 9) + (3x^2 - 2x)

x^2 + 7x - 9 + 3x^2 - 2x + x^2 + 7x - 9 + 3x^2 - 2x

Rearranging order:

3x^2 + 3x^2 + x^2 + x^2 + 7x + 7x - 2x - 2x - 9 - 9

Combine like terms

8x^2 + 10x - 18