state which theorem you can use to show that the quadrilateral is a parallelogram.​

Answer:

The daily rate that maximizes the revenue is $40 and the maximum revenue is $9600

Step-by-step explanation:

Given

[tex]Rooms = 240[/tex]

[tex]Price= \$40[/tex]

[tex]Increment = \$2[/tex]

First, we calculate the revenue.

[tex]Revenue (r) = Price (p) * Number\ of\ Rooms(n)[/tex]

[tex]r = p*n[/tex]

Let x be the change in rate.

i.e.

For every 2x increment in price (p) i.e. p + 2x

There will be 4 fewer rooms (n) i.e. n - 4x

So, the revenue is updated as:

[tex]r = (p + 2x) * (n - 4x)[/tex]

[tex]Price = 40[/tex]

So:

[tex]r = (40 + 2x) * (n - 4x)[/tex]

[tex]Rooms = 240[/tex]

So:

[tex]r = (40 + 2x) * (240 - 4x)[/tex]

Expand

[tex]r = 40 * 240 - 40 * 4x + 2x * 240 - 2x*4x[/tex]

[tex]r = 9600 - 160x + 480x - 8x^2[/tex]

Reorder

[tex]r = -8x^2 - 160x + 480x + 9600[/tex]

[tex]r = -8x^2 +320x + 9600[/tex]

The maximum of a function is calculated as:

[tex]Max = -\frac{b}{2a}[/tex]

In: [tex]r = -8x^2 +320x + 9600[/tex]

[tex]a = -8[/tex]   [tex]b = 320[/tex]    [tex]c = 9600[/tex]

So:

[tex]Max = -\frac{b}{2a}[/tex]

[tex]Max = -\frac{320}{-8}[/tex]

[tex]Max = \frac{320}{8}[/tex]

[tex]Max = 40[/tex]

To get the maximum revenue;

Substitute 40 for x in [tex]r = -8x^2 +320x + 9600[/tex]

[tex]r = -8(40)^2 + 320 * 40 + 9600[/tex]

[tex]r = 9600[/tex]

The daily rate that maximizes the revenue is $40 and the maximum revenue is $9600

The equation of line that passes through the given points is x-5y=47.

Given that the line that passes through ( -3,-10) and (7,-8).

The standard form of the line equation is ax+by+c = 0. Here a, b are the coefficients, x, y are the variables and c are the constant terms. It is a quadratic equation, of the variables x and y. The values ​​of x and y represent the coordinates of the point on the line in the coordinate plane.

Firstly, we will find the slope of equation of line by using the given points.

(x₁,y₁)=(-3,-10) and (x₂,y₂)=(7,-8).

m=(y₂-y₁)/(x₂-x₁)

Now, we substitute the values, we get

m=(-8-(-10))/(7-(-3))

m=(-8+10)/(7+3)

m=2/10

m=1/5

Further, we will find the equation of line using the formula y-y₁=m(x-x₁).

Now, we will substitute the values , we get

y-(-10)=(1/5)(x-(-3))

y+10=(1/5)(x+3)

Further, we will multiply both sides by 5, we get

5(y+10)=x+3

5y+50=x+3

5y+50-50=x+3-50

5y=x-47

x-5y=47

Hence, the equation of line that passes through ( -3,-10) and (7,-8) is x-5y=47.

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Answer:

English pls

Step-by-step explanation:

Answer:

y = -0.25x + 4.5

Step-by-step explanation:

hope this helps :D pls mark brainliest :D

Answer:5y

Step-by-step explanation:

67

Hey how you have a good day !! XD

Answer:

-3 is the answer for the question

Answer:

9

Step-by-step explanation:

The value of y at x =15 is 9.

Two variables are said to be in Direct Variation when increasing one variable the other also increases.

The direct variation is represented by

y ∝ x

y = kx

where k is the proportionality constant

the value of y =12 , x = 20

12 = k * 20

12/20 = k

k = 0.6

The equation becomes

y = 0.6 x

The value of y at x = 15 is

y = 0.6 * 15

y =9

Therefore, the value of y at x =15 is 9.

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Answer: 36

Step-by-step explanation:

Answer:

2?

Step-by-step explanation:

maybe 2 is in between 1 and 3

The missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.

We want to prove that m∠BOC = 90°.

We are given that m∠AOB is a right angle triangle. Thus;

m∠BOC must also be equal to 90°

Now, since m∠BOC and m∠AOB are right angles, then it means that we must equally say that m∠DOA and m∠BOC are vertical opposite angles and they are as such equal.

Thus, the missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.

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Answer:

D. 6 1/12

Step-by-step explanation:

3 2/3 + 1 3/4 + 2/3

= 3 8/12 + 1 9/12 + 8/12

= 3 + 1 + (8/12 + 9/12 + 8/12)

= 4 + (25/12)

= 4 + (24/12 + 1/12)

= 4 + 2 1/12

= 6 1/12

5/3 is a irrational number cause it simplified is 1 2/3 which in decimal form is 1.6666 infinite to determine if a fraction is a irrational or rational number put it in decimal form


if this helped Brainliest me on this answer

Answer:

31 : 6, 31 craft sticks to 6 balsa wood

Step-by-step explanation:

Make 1240 and 240 into a fraction

[tex] \frac{1240}{240} [/tex]

Divide 1240 and 240 by 10

1240 ÷ 10

= 124

240 ÷ 10

= 24

[tex] \frac{124}{24} [/tex]

Divide 124 and 24 by 4

124 ÷ 4

= 31

24 ÷ 4

= 6

[tex] \frac{31}{6} [/tex]

This can be written as 31 : 6, 31 craft sticks to 6 balsa wood in addition to the fraction.

Have a lovely rest of your day! :)

Answer:

maths

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

(1,0) (5,0)

Step-by-step explanation:

roots of a parabola are the x intercepts

Answer:

Angle g=76 degrees

the order i would say is EF,GE,FG

tell what you get

You're welcome

Step-by-step explanation:

Triangle equal 180 degrees so 180-60-44=76

so last angle is 76 degrees

Answer:

87.5%

Step-by-step explanation:

28/32=0.875

0.875*100= 87.5

87.5% of 32 = 28

Answer:

perpendicular

Step-by-step explanation:

it is perpendicular because you flipped and negative the slope. if it was parallel the slope would be the same with no negative

The absolute function is having its turning point at the coordinate ( 2,3).

It is required to find the turning point of the graph  .

Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.

Given:

The absolute function is

f(x) = |x-2| +3.

We have to find the turning point of the graph of f(x)=|x−2|+3.

According to given question we have,

When we plot the graph of the absolute function f(x) = |x-2| +3 it will give two straight lines the first line is on the left side and the second line is on the right side. The graph of the function changes its position at the coordinate ( 2,3).

Therefore, the absolute function is having its turning point at the coordinate ( 2,3).

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Answer:

1

Step-by-step explanation:

Using two points on the line, (0, -3) and (3, 0),

[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (0, -3) = (x_1, y_1) [/tex]

[tex] (3, 0) = (x_2, y_2) [/tex]

Plug in the values

[tex] Slope (m) = \frac{0 -(-3)}{3 - 0} = \frac{3}{3} = 1 [/tex]

Slope = 1

Answer:

6-ounce bottle for ​$3.49 because its

.58 per ounce

3.49 divided by 6 = .58

Step-by-step explanation:

9.59 divided by 14 is .69 per ounce

chegg

The ranking of the given  numbers from least to greatest is;

5, 5²⁸/₄₀, 5⁴/₅

We are given the numbers as;

5, 5¹²/₁₅, 5²⁸/₄₀

Now, let us breakdown the mixed fractions for easier comparison with all numbers;

5¹²/₁₅ can be broken down into 5⁴/₅

For the second mixed fraction which is 5²⁸/₄₀;

5²⁸/₄₀ can be broken down into 5⁷/₁₀

Now, 7/10 is lesser than 4/5 and so 5⁴/₅  is greater than 5²⁸/₄₀. Thus, ranking of all numbers from least to greatest is; 5, 5²⁸/₄₀, 5⁴/₅

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Answer A pack of batteries that come in a 48 count are $24.98 what is the unit price of just one battery is  $0.50

Answer:

this is answer .i solved it .i think it is correct

Answer:

x=1/30y + -5/6

Step-by-step explanation:

Answer:

its 985 ft :]

Step-by-step explanation:

Answer:

it is 985 ft

Step-by-step explanation:

I used a calculator

Answer:

Answer is -43

Step-by-step explanation:

1/5(40-p)= -3/5

40-p = (-3/5)/(1/5)

40-p = -3

-p = - 43

p = 43

The amount of the profit will be $50,738.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.

The profit is given as,

Profit = Selling price - Cost price

The Wind Up Corp computed their monthly expense equation is given below.

E = 3.2q + 56,000

Its products will be sold to retailers at a wholesale price of $9 each. If 18,403 units are sold. Then  the expense will be

E = 3.2 x 18403 + 56000

E = $114,889

Then the selling price will be

S = 9 x 18403

S = 165,627  

Then the amount of the profit will be

P = 165,627 - 114,889

P = $50,738

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Answer:

4 2/7

Hope this helps and have a nice day!!