calculate the number of waffles produced if you start with 15 eggs, assuming you have enough of all other ingredients? given: 4 cups flour 6 eggs 2 tbsp oil 8 waffles

The subsets of the given set are {-2}, {1}, {-2, 1}, and ∅.

From the question, we are to list all the subsets of the given set.

Given two sets A and B; set A is a subset of set B if all elements of A are also elements of B.

Therefore, we will find all possible sets that have the element(s) of the given set.

The given set is {-2, 1}

The subsets of this set are {-2}, {1}, {-2, 1}, and ∅

Hence,

The subsets are {-2}, {1}, {-2, 1}, and ∅

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Answer:If Giulio chooses the first option he will pay about 4,500

If he chooses the second option with the lower rate and compound interest, he will pay a total of about 3,000.

Step-by-step explanation: I dont have an explanation but I think I'm right

Answer:

Point Slope Form:  y - 0=2 (x - 0)

Simplified Form:  y=2x

Step-by-step explanation:

The point-slope form of line is given by:

y - y1=m(x - x1)

Where

m is the slope

 is the first x-coordinate

 is the first y-coordinate

Given slope is 2, thus we can say:

m = 2

Also, it says the line goes through the point (0,0), so:

and

Now, substituting, we get the point slope form to be:

y-y1=m(x - x1)

y-0=2(r-0)

y=2(x)

y=2x

The equation of line will be y = 2x

The slope of the equation m = 2 and the point P ( x₁ , y₁ ) = P ( 0 , 0 )

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Let the point be represented as P

The value of P = P ( 0 , 0 )

The slope of the equation m = 2

Slope m = 2

Now , the equation of line in the slope intercept form is

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 0 = 2 ( x - 0 )

On simplifying the equation , we get

y = 2x

Therefore , the value of A is y = 2x

Hence , the equation of line is y = 2x

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For the given ordered pairs, function f(x)= 13(2)ˣ models f(x). Therefore, option B is the correct answer.

From the given table, the ordered pairs are (0, 13), (3, 104) and (5, 416).

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Substitute (0, 13), (3, 104) and (5, 416) in the given functions and simplify

A) f(x)=2x+13

With x=0, we get f(x)=13

With x=3, we get f(x)=19

With x=5, we get f(x)=23

B) f(x)= 13(2)ˣ

With x=0, we get f(x)=13

With x=3, we get f(x)=104

With x=5, we get f(x)=416

For the given ordered pairs, function f(x)= 13(2)ˣ models f(x). Therefore, option B is the correct answer.

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Answer:

65

Step-by-step explanation:

Since 39 is 60%, 100/60= 1 2/3

39*1 2/3 is 65

Answer:

Let x = # of magazines , $23.65=$5.95+$2.95x , x = 6

Step-by-step explanation:

$23.65=$5.95+$2.95x

this is equation for this one because we know that 23.65 is the total money they have total and 5.95 cost for book and 2.95 dollar what each magazine. however, this equation needs to be solved to find x

23.65=5.65+2.95x

23.65-5.95=-5.95+2.95x

17.70=2.95x

17.70/2.95=

6=x

He can buy 6 magazines with his money.

If the null hypothesis that two means are equal is true, 97% of the computed z values lie between 2.17.

Any variation between the selected characteristics that you observe in a set of data is thought to be the result of chance, according to the null hypothesis. For instance, any difference between the average earnings in the data and zero is caused by chance if the expected earnings for the gambling game are actually equal to zero. An assertion that there is no correlation between two population parameters is referred to as a null hypothesis. To prepare the ground for additional experimentation or research that explains the position of interest, researchers reject or refute the null hypothesis.

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The distance covered by gaby at a speed of 12 mph in 12 minutes is

2.4 miles.

Given,

Speed at which gaby is walking = 12 mph

we are asked to determine the distance covered by gaby at a given speed in 12 minutes = ?

We know, Distance = Speed × Time

speed = 12 mph

time = 12 minutes

= 12/60 hr

Distance = 12 × 12/60

= 5/2

= 2.4 miles

Hence gaby can cover 2.4 miles in 12 minutes.

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The value of x in the given equation is 1 or 8.

First, let us understand the equation:

An equation is a mathematical expression that includes the equals sign. Algebra is frequently used in equations.

We are given;

x / (x + 8) + 1 / (x - 8) = 2x / (x^2 - 64)

x (x - 8) + 1 (x + 8) / (x^2 - 64) = 2x / (x^2 - 64)

x^2 - 8x + x + 8 = 2x

x^2 - 8x - 2x + x + 8 = 0

x^2 - 9x + 8 = 0

x^2 - 8x - x + 8 = 0

x(x - 8) - 1 (x - 8) = 0

(x - 1) (x - 8) = 0

(x - 1) = 0 or (x - 8) = 0

x = 1 or x = 8

So, the value of x = 1 or 8.

Thus, the value of x in the given equation is 1 or 8.

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Step-by-step explanation:

we have to mark the angles in the point denoted in the graph and connect it

The illustration of the dilated triangle has been shown.

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
The vertices of a triangle are A(-4, 6), B(6.4), and C(6. - 2).
The scale factor of 1/2.​,

Coordinates of the vertices of the triangle with scale factor,
A' = (-4 × 1/2 , 6 × 1/ 2)
A' = (-2, 3)

Similarly,
B' = (3, 2)
C' = (3, -1)

Thus, the illustration of the dilated triangle has been shown.

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Answer:

Step-by-step explanation:

The area of the quilt is:

The area of each block:

Number of blocks:

Correct choice is [A]

Dimensions of the quilt excluding borders on each side:

Area of the quilt:

Area of each block with side 9 in:

Number of blocks:

Correct choice is [D]

The values of x and y are 44.8 & 19.2 respectively.

What is the similarity theorem of the triangle?

According to the fundamental theorem of similarity, a line segment can divide two triangle sides into proportionate segments if and only if it is parallel to the third side of the triangle.

We have,

ΔABC ~ ΔAVW

We know the similarity theorem of triangle,

[tex]\frac{AC}{AW} = \frac{CB}{VW}[/tex]  

28/ x = 16/10

x = 1.6 * 28

x = 44.8

[tex]\frac{AB}{AV} = \frac{CB}{VW}[/tex]

y/12 = 16/10

y =  1.6 * 12

y = 19.2

The values of x and y are 44.8 & 19.2 respectively.

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The coordinates of the endpoint A = (A, B) is (60, 9)

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

Midpoint = (31, -5) = (x, y)

Endpoints:

A = (a, b) and B = (2, -19) = (c, d)

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Now,

31 = (a + 2)/2

31 x 2 = a + 2

62 = a + 2

a = 62 - 2

a = 60

-5 = (b - 19)/2

-5 x 2 = b - 19

-10 = b - 19

-10 + 19 = b

b = 9

Thus,

The coordinates of the endpoint A = (A, B) is (60, 9)

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

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

1.5x + 4 or 3/2x + 4

(Both are the same, depends on if you need decimal or fractional answer)

The required price of one battery from the pack is   £0.465.

When we given a pack of objects with some cost, then to calculate the price of one object, divide the amount of pack by number of objects in the pack.

we have, price of 6 battery = £2.79

Then, the price of one battery = £2.79/6 = £0.465

Thus, the the price per battery is £0.465.

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0.68 is the variable is normally distributed when standard deviation is r29. 44.

What is standard deviation in math?

μ = 146.21   σ = 23.44         x ~ n

P{ x < 160 } = ρ{ x - μ/σ < 160 - 146.21/29.44 }

                   = ρ{ z < 0.47 }

                    = 0.6808

                    ≈ 0.68

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The statements (b) and (d) are true concerning the measurements of a circle.

What is a circle?

A circle is a reconstructed by all elements in a plane that lie at a particular separation from the center. It is the curve sketched out by a point moving in a surface so that its radius from a particular point remains constant. The radius describes the distance either between two points on a circle and the center. Ordinarily, the radius must be a greater than 0. A circle, in particular, is a basic closed curve that splits the plane into two regions: inner and exterior. A circle can alternatively be described as a kind of ellipse with two coincident foci, zero eccentricity, and equal semi-major and semi-minor axes.

The statements:

(b) The area of a circle with a diameter of 1 unit is equal to pi square units and

(d) The circumference of a circle with a diameter of 1 unit is equal to pi units are true concerning the measurements of a circle.

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Answer:

convert the fractions to a common denominator of 90

5 1/6 , 5 13/30 , 5 68/90

As per the given ratio, the four numbers are 27, 33, 81 and 99.

Ratio:

Ratio means a mathematical expression written in the form of a:b, where a and b are any integers. It expresses a fraction.

Give,

Here we have the ratio 9: 11.

And the difference is 6.

And we need to find the four numbers to it.

Let us consider both the number be 9x, 11x since their ratio is 9:11

And we have assume that our expected answer to be positive (since we are dealing with ratios)

So, their difference can be written as,

=> 11x-9x = 6

When we simplify it, then we get,

=> 2x = 6

Here we need the value of x,

=> x= 3

Now that we know the value of ‘x’ is, we can find required numbers through it,

=> 9x = 9 * 3= 27

=> 11x = 11*3 = 33

=> 27x = 27*3 = 81

=> 33x = 33*3 = 99

Thus, the four numbers are 27, 33, 81, 99.

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The value of the digit 2 in 23,876 is 100 times greater than value of digit 2 in 3,254. This result is obtained by paying attention to the place value of the number in the number.

These are the specified parameters:

Numbers 23,876 and 3,254.

The value of the digit 2 in 23,876 is 20,000

The value of the digit 2 in 3,254 is 200

Magnification the value of the digit 2

= 20,000 ÷ 200

= 100

So the value of the number 2 at 23,876 is 100 times greater than the value of the number 2 at 3,254.

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Answer: No, only Alex's solution is correct.

Step-by-step explanation:

Morgan's solution is incorrect because he subtracted 3 from the parentheses, which is illegal (in math, of course). This means that his answer is incorrect.

Answer: Alex is correct.

Step-by-step explanation:

Alex's steps are correct and are used properly, unlike Morgan, which did steps that aren't allowed and don't make sense. Alex's answer is correct.

Answer:

120 ft²

Step-by-step explanation:

The length of each of the congruent sides is (50-16)/2 = 17 ft.

So, using the Pythagorean theorem, the altitude drawn from the vertex angle to the base has a length of 15 ft.

Thus, the area is (1/2)(15)(16) = 120 ft².

Answer: The smallest two-digit prime number such that reversing the digits of the number produces a composite number is 19

Step-by-step explanation:

11, which is the smallest two-digit prime number, 11 remains the same number when the digits are reversed, and it is a prime number, of course.

The next two-digit prime number is 13. 13 becomes the prime number 31 when the digits are reversed.

17 is the following two-digit prime number. The result of flipping the digits of 17 is 71, a prime number.

19 is the following two-digit prime number. Reversing the digits of 19 results in 91, which is composite because 7*13= 91

Thus, 19 is the answer.

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140.23 liters are in 37 gallons

We have been given you can convert gallons to liters by using a factor of 3.79

That is, 1 gallon = 3.79 liters.

We need to find the amount of liters in 37 gallons.

Let 37 gallons = x liters

As we know 1 gallon = 3.79 liters.

So, by Unitary method,

x = 37 * 3.79

x = 140.23 liters

Therefore, 140.23 liters are in 37 gallons

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If the perimeter of XYZ is 26 then the answer will be 6.5.

What is composition of transformation?

A composition of transformations combines two or more transformations that were separately applied to the prior image. The result of a composition of reflections along parallel lines is identical to that of a translation (twice the distance between the parallel lines).

What is Perimeter?

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

Given;

The composition of transformations Ry=-5 r (90,A) maps ABC to XYZ .

the perimeter of XYZ is 26

ΔABC is the reflection of ΔXYZ which is transformed with angle 90°.

So,the answer will be [tex]26\div 4 = 6.5[/tex].

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The amount that will be spent on the cupcakes is $48.

From the information, Luisa plans to prepare cupcakes for her daughter's birthday and spends $15 on 25 units.

Let the amount spent on 80 cupcakes be x.

This will be illustrated as:

25/80 = 15/x

Cross multiply

25x = 15 × 80

25x = 1200

Divide

x = 1200/25

x = 48

The amount will be $48.

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The solution of the system of equations y = -x + 6 and y = (1/2)x - 6 be

(8 , -2)

Given, two linear equations

y = -x + 6

y = (1/2)x - 6

Now, to plot the first equation i.e. y = -x + 6

first plot two points

(0 , 6) and (6 , 0)

Now, pass a straight line through these two points and we get the graph of the given equation.

Now, to plot the second equation i.e. y = (1/2)x - 6

first plot two points

(0 , -6) and (12 , 0)

Now, pass a straight line through these two points and we get the graph of the given equation.

Now, to get the solution Plot the point of intersection of these two lines i.e. (8 , -2)

Hence, the solution of the system of equations be (8 , -2).

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The expression that represents the total amount of discount in dollars is; (48d - 0.18 x 48d)

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by the mathematical symbol; which can b used to indicate the logical syntax's order of operations and other features.

We are given that the reseller has a budget of $800 to purchase desks. Each desk costs an equal amount and is available at a fixed discounted percent.

The expression 800 (48d - 0.18 x 48d) represents the amount of the budget, left after buying d desks.

Therefore, the expression that represents the total amount of discount in dollars are;

(48d - 0.18 x 48d)

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the probablilty of p and k is 82.6%.

Given:

key club P(k) = 2.3%

physics P(p) = 8.6%

(p∩k) = 1.9%

formula:

P(p/k) = P(p∩k)/P(k)

putting the value,

P(p/k) = 1,9%/2.3%

= 0.019/0.023

= 0.826 = 82.6%

hence the probability of p given k is 82.6%.

#123

The probability of P given K is 0.826.

Given information;

The guidance department has stated that of the senior class, 2.3% are members of key club, K, 8.6% are enrolled in AP physics, P, and 1.9% are enrolled in both. This information is supplied in the question.

To get the probability of P given K [P(A)];

P(K) = 2.3

P(P) = 8.6

P(P ∩ K) = 1.9

P(A) = P(P ∩ K) / P(K)

       = 1.9/2.3

       = 0.826

Hence, the probability of P given K is 0.826.

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