One day, the Early Bird Restaurant used
15 dozen eggs for 200 breakfast
customers. At this rate, approximately
how many dozen eggs are needed for 300
breakfast customers?
E. 20
F. 23
G. 25
H. 30

The theorems that apply are A(HL) D(SAS) E(LL)

Two triangles are said to be similar if their corresponding angles are equal and their corresponding lengths are in the same proportion.

Analysis:

The two triangles are similar according to the HL theorem since the hypotenuse of the two triangles are equal and one of the sides is same in both triangles. HL theorem applies.

The two triangles are similar according to LL theorem since the other lengths apart from the hypotenuse are also equal.

since two sides of both triangles are equal and there is an included angle 90 degree between the equal sides, the triangles are similar based on SAS.

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Answer:

40 Including membership Price

35 Just for Pizza

Step-by-step explanation:

$5 for Membership for the month (Not sure if the final answer includes this or not)
1.75 x 20 = $35 for Pizza

Answer:

A: The rate of change is 10% per year.

Step-by-step explanation:

The rate of change is simply the change in value divided by the change in time. In this case, the change in value is $1080 - $720 = $360, and the change in time is 12 years. Therefore, the rate of change is $360 / 12 years = $30 per year.

The number of people who are not Democrats , do not wear glasses, and don not like ice-cream by using sets are 155 people and the number of people who are democrats, not wearing glasses and do not like ice cream are 150 people.

Given total people of 1000 people, 595 democrats, 595 wearing glasses, 550 like ice cream, 395 of them are democrats who wear glasses,350 of them are democrats who like ice cream and 400 of them wear glasses as well as like ice cream ,250 of them are democrats as well as wear glasses and like ice cream.

We have to find the number of people who are not democrats , do not wear glasses ,do not like ice cream and the number of people who do not wear glasses and do not like ice cream.

let X shows the number of democrats and G be number of people who wear glasses and I be the number of people like ice cream.

So,

D=595, G=595 AND I=550

Now D∩G=395

D∩I=350

G∩I=400

so D∩G∩I=250

Formula will be :

D∪G∪I=D+G+I-(D∩G)-(G∩I)-(D∩G)+(D∩G∩I)

=595+595+550-(395+350+400)+250

=845

845 are either democrats or wear glasses as well as like ice cream.

So 1000-845=155

Number of people who are democrats, do not wear glasses and do not like ice cream=D-(D∩G)-(D∩I)+(D∩G∩I)

=595-(395+300)+250

=845-695

=150 people.

Hence the number of people who are not Democrats , do not wear glasses, and don not like ice-cream are 155 people and the number of people who are democrats, not wearing glasses and do not like ice cream are 150 people.

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The probability of picking a red counter is therefore; 8/25.

Since the ratio of red to green is 2 :3 and there are 24 green counters, it follows that the number of red counters is;

x = (2/3)× 24 = 16 red.

The total of red and green is; 16 +24 = 40 which constitutes 80% of the total counters.

The total number of counters is therefore; 40/0.8 = 50 counters.

The probability of picking a red counter is therefore; 16/50 = 8/25.

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Answer:

a fraction

Step-by-step explanation:

this will produce a fraction, for example:

3^-1 = 1/3

and (-2)^-3 = -1/8

Using the GREAT decision-making model, one could consider telling the driver not to drive after drink, getting out of the car and looking for another, or riding in the same car while ignoring the situation.

The options we have in this situation are:

Option 1:

Option 2:

Option 3:

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The number of watches that just be sold is 90 and the profit is -356400.

From the information given, the equation is given as:

P = −50x² + 550x − 900

P = -5x² + 55x - 90

= -5x² + 45x + 10x - 90

= -5x(x - 9) + 10(x - 9)

= (-5x + 10)(x - 9)

x - 9 = 0

x = 0 + 9 = 9

The watches that must be sold will be (9 × 10) = 90

The profit will be:

P = −50x² + 550x − 900

P = -50(90)² + 550(90) - 900

P = -405000 + 49500 - 900

P = -356400

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[tex]\huge\boxed{10}[/tex]

[tex]\sqrt{100}[/tex] means that you are looking for the number that, when multiplied by itself, produces [tex]100[/tex]. That number is [tex]10[/tex], because [tex]10\cdot10=100[/tex], meaning that [tex]\sqrt{100}=10[/tex].

All possible lengths of segment AB wil be 27 < AB < 81.Option b is correct

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

Any two triangle sides' lengths added together are longer than the third side's length.

The triangular inequality theorem is applied in three ways;

1.

AC+BC > AB

27+54 > AB

81 > AB

2.

27+AB > 54

AB> 54-27

AB > -27

3.

54+AB > 27

AB > 27-54

AB > -27

All possible lengths of segment AB wil be 27 < AB < 81.

Hence option b is correct

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Answer:

27 < AB < 81

Step-by-step explanation:

The answer above is correct.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A, BC < MN.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

As per the given conditions, the angle that will be opposite to ∠A is BC and  ∠L is MN.

Now since the measure of ∠L is more than the measure of ∠A, therefore, the side MN will be greater than BC.

Hence, the correct option is A, BC < MN.

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Answer: Option 1 or A. BC<MN

Step-by-step explanation: Trust Me!

The answer is correct on Edge.  The proof is in the pic below.

Goodluck everyone! :)

Given AC = LN and BA = ML, which statement must be true?

A. BC < MN

The probability that a person will be entertained by either books or TV is 0.55

Express the given percentages as probabilities.

Let the probability of people being entertained by books be represented as

P(A)=0.36

Probability of people entertained by watching TV,

P(B)=0.32

Probability of people entertained by both books and TV,

P(A∩B)=0.13

P(A) + P(B) - P(A and B) is the formula for calculating the either/or probability for overlapping events. This formula is identical to the non-overlapping events, but we need to take the likelihood that the outcomes could occur simultaneously into account.

Thus, the probability of people being entertained by either books or TV is,

P(AUB)=P(A)+P(B)-P(A∩B)

           =0.36+0.32-0.13

           =0.68-0.13

          =0.55          

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Answer:

[tex]y = 4 \cos(4\pi \: t + \frac{\pi}{4} ) [/tex]

[tex]y = a\cos(w\: t + \alpha ) [/tex]

[tex]w = 4\pi[/tex]

[tex]2\pi \: f = 4\pi[/tex]

[tex]f = 2[/tex]

Answer:

[tex]\displaystyle 2[/tex]

Step-by-step explanation:

[tex]\displaystyle y = Acos(Bx - C) + D[/tex]

When working with a trigonometric equation like this, always remember the information below:

[tex]\displaystyle Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]

So, the first procedure is to find the period of this graph, and when calculated, you should arrive at this:

[tex]\displaystyle \boxed{\frac{1}{2}} = \frac{2}{4\pi}\pi[/tex]

You will then plug this into the frequency formula, [tex]\displaystyle T^{-1} = F.[/tex] Look below:

[tex]\displaystyle \frac{1}{2}^{-1} = F \\ \\ \boxed{2 = F}[/tex]

Therefore, the frequency of motion is two hertz.

I am delighted to assist you at any time.

The given quadrilateral is a rectangle because 2 pairs of sides are equal in length.

We are given the coordinates of the quadrilateral as;

W(0, 5), X(-3, 2), Y(0, -4), Z(3, 2).

Now, the formula for distance between two coordinates is;

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Thus;

WX = √[(-3 - 0)² + (2 - 5)²]

WX = 3√2

XY = √[(0 + 3)² + (-4 - 2)²]

XY = 3√5

YZ = √[(2 + 4)² + (3 - 0)²]

YZ = 3√5

ZW = √[(0 - 3)² + (2 - 5)²]

ZW = 3√2

Thus, we can conclude that the given quadrilateral is a rectangle because 2 pairs of sides are equal in length.

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Answer: Probability = 44%

Step-by-step explanation:

To find the probability of finding 2 black balls in a row, we first need to find the probability of finding 1 black ball at a time.

To do that, we need to divide the amount of total black balls by the number of total balls.

Black balls = 6

Total balls = 3 + 6 = 9

6 divided by 9 = 0.(6)

If you multiply 0,(6) by 100%, it will give you 66% (rounded) of getting a black ball.

Now, to find the chances of getting 2 black balls in a row, we need to multiply [tex]\frac{6}{9}[/tex] by [tex]\frac{6}{9}[/tex]. What we are doing is squaring the chances of getting one black ball, by the number of times we want to get it.

That is equal to 0,(4)

Multiply 0,(4) by 100%, and it will give you 44%(rounded) chances to get a black ball 2 times in a row.

Probability = 44%

Hope I Helped!

The volume of the rectangular prism is 3359232 cubic centimeters

The length of the cube is given as:

Length, l = 12 cm

The volume of a cube is:

[tex]V = l^3[/tex]

So, we have:

[tex]V = 12^3[/tex]

Evaluate

V = 1728

The volume of 1944 cubes is then calculated as:

Volume = 1728 * 1944

Evaluate

Volume = 3359232

Hence, the volume of the rectangular prism is 3359232 cubic centimeters

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There are exactly 1,944 of the 12 cm, or 0.5 foot cubes inside a rectangular prism.  What is the volume of the rectangular prism in cubic centimeters?

Both sides of the equation are not equal, therefore, Massa was wrong.

For an equation to be correct, the values on both sides of the equation must be equal and balance.

Given the expression, 540 ÷ 6 = 9, 540 divided by 6 is 90. 90 is not equal to 9.

Thus, the value on the both sides are not balanced, therefore, Massa is incorrect.

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Answer :

Step-by-step explanation:

To find the value of 'a' we will use the tangent-chord theorem,

"Angle formed by the chord and a tangent to the circle measure the half of the intercepted minor arc"

Angle 'a' is formed between the chord and the tangent.

Measure of the intercepted arc = (2 × 52)°

Therefore, measure of the angle 'a' = \frac{104}{2}

2

104

a = 52°

Therefore, Option (A) will be the correct option.

Answer: [tex]52.6^{\circ}[/tex]

Step-by-step explanation:

Let the angle of depression be x.

[tex]\sin x=\frac{27}{34}\\\\x=\sin^{-1} \left(\frac{27}{34} \right) \approx 52.6^{\circ}[/tex]

Answer:

The Framers are offering a better price and are cheaper by $1.35

Step-by-step explanation:

I've been framed price:

50% off of 115 = 0.5*115 = 57.5

10% off of sale price = 0.9*57.5 = $51.75

the Framers price:

30% off of 120 = 0.7*120 = 84

40% off of sale price = 0.6*84 = $50.40

Difference: 51.75-50.40 = $1.35

Vial contains 0.96g powder.

Proportion is used to show how quantities and amounts are related to each other. The amount that quantities change in relation to each other is governed by proportion rules.

A direct and inverse proportion are used to show how the quantities and amount are related to each other. They are also mentioned as directly proportional or inversely proportional. The symbol used to denote the proportionality is ‘∝‘.  For example, if we say, a is proportional to b, then it is represented as “a ∝ b” and if we say, a is inversely proportional to b, then it is denoted as ‘a∝1/b’

The given question is the example of direct variation.

Powder volume ∝ Liquid volume

∴ We can apply cross multiplication method

Let powder volume be x

1g→ 10ml

x→ 9.6ml

cross multiplying

1 x 9.6 = 10 x [tex]x[/tex]

x = 0.96 g

Thus Vial contains 0.96g powder.

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Since there are no patterns for the rate of change of the function, it is quadratic.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input.

When this rate is constant, the function is said to be linear, while if the rate increases in a proportional way, the function is exponential.

In this problem, no patterns of linearity or of exponentiality can be established, hence the function is quadratic.

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Answer:

2nd option

Step-by-step explanation:

the quadrilateral has 1 pair of parallel sides and is therefore a trapezoid.

• each lower base angle is supplementary to the upper base angle on the same side, that is

∠ 1 + ∠ 2 = 180° , so

x + x + 50 = 180

2x + 50 = 180 ( subtract 50 from both sides )

2x = 130 ( divide both sides by 2 )

x = 65

then

∠ 1 = x = 65°

∠ 2 = x + 50 = 65 + 50 = 115°

Answer:

the answer is x= 3/4 I think

The area of the shaded region in the task content is; 251.2.

It follows from the task content that the area of the shaded region is;

= Area of semicircle IL - Area of semicircle JK + Area of semicircle IJ + Area of semicircle KL.

Hence, since the radius of each semicircle are as follows;

R(IL) = 12

R(IJ) = R(JK) = R(KL) = 4.

Hence, the Area of the shaded region can be evaluated as;

= (π/2)(12² - 4² + 4² +4²).

= π (144 +16)

= (3.14/2) × 160 = 251.2

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The value of 'x' that would make Line segment T V is parallel to Line segment Q S is 10. Option C

It is important to note that for line TV to be parallel to line QS, the sides of the triangle must be divided equally.

Thus, we have

RT/TQ = RV/VS

RT = x + 10

TQ = x - 3

RV = x + 10

VS = x

Substitute the value

[tex]\frac{x + 4}{x-3} = \frac{x + 10}{x}[/tex]
Cross multiply

(x+ 4) × x = (x + 10) × (x-3)

x² + 4x =  x² -3x + 10x -30

Divide through by x²

4x = -3x + 10x - 30

Collect like terms

4x + 3x - 10x = - 30

-3x = -30

x = -30/ -3

x = 10

Thus, the value of 'x' that would make Line segment T V is parallel to Line segment Q S is 10 Option C

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At step 2, we arrive at

(2x + 3) (x + 3) = 0

and the next step (which isn't actually shown) is to use the so-called zero-product property that says if [tex]ab=0[/tex], then [tex]a=0[/tex] or [tex]b=0[/tex]. This means

2x + 3 = 0   or   x + 3 = 0

and solving the first equation leads to the rational solution.

2x + 3 = 0

2x = -3

x = -3/2

There are 9240 ways to select a committee to develop a discrete math course if the committee is to consist of three faculty from the math department and four from the computer science department.

It is given that there are 9 faculty members in the math department and 11 in the computer science department.

[tex]C^{9} _{3} * C^{11} _{4}[/tex]

[tex]= \frac{9!}{(9-3)!3!} * \frac{11!}{(11-4)!4!}\\= 28 * 330\\= 9240[/tex]

Therefore, there are 9240 ways to select the committee.

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Answer:

D

Step-by-step explanation:

on a graph, look at the points (-3,0) (-1,0) and (2,0). Then, see if the line passes through those points. You will see that graph D passes through all those points. If you're confused on how to turn the (x,y) format into points on a graph, remember that the first point tells you how left/right you want to be, and the second point tells you how up/down you want to be.

Answer:

88 square units

Step-by-step explanation:

     a  and b are the length of the parallel sides.

      a = IL = 15

      b = JK = 7

      h = height between the parallel lines = 8

[tex]\sf \boxed{\bf Area \ of \ trapezium = \dfrac{(a +b)*h}{2}}[/tex]

                                   [tex]\sf =\dfrac{(15+7)*8}{2}\\\\=\dfrac{22*8}{2}\\\\= 11*8\\\\= 88 \ square \ units[/tex]