A deep-dish pizza is cut into twelve equal slices. If you eat four slices, how manydegrees of pizza do you eat?240°120°45°90°

The different sizes of the given brands are

Frozen orange juice:

$1.57 for 14 ounces

$0.57 for 4 ounces

The unit price of a frozen orange juice which costs ​$1.57 for 14 ounces is

1.57/14 = 0.112

The unit price of a frozen orange juice which costs ​$0.57 for 4 ounces is

0.57/4 = 0.1425

The better buy is the size that has the lowest cost per ounce. Looking at our calculations, the lowest cost per ounce is $0.112

Therefore, the frozen orange juice which costs ​$1.57 for 14 ounces is the better buy.

WE know that in any quadrilateral the interior sum of its angles is 360. The missing angle in this case is:

Now, we also know that if the oposite angles in a quadrilateral are equal then the quadrilateral is a parallelogram.

Therefore the figure shown is a parallelogram.

Answer:

x - 1 = x - 1

Step-by-step explanation:

If you were expecting a singular solution, you won’t get it. You’ll likely instead get a lot of smart alecks snidely answer your question. Looks like you already have actually.

But they speak true. x – 1 on its own like that wont really get you anything. Now if you asked something along the lines of “What is x – 1 equal to if x is equal to 5?” then you’d get one solid definitive solution: 4.

Answer:

YES!!!!!

Step-by-step explanation:

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Assuming all the parts are covered, inluding the internal part, we have to find the surface area of the whole protector.

So, let's list which areas we need:

- We need the lateral areas of the external parts, which are 4 rectangles.

- We need the top and bottom areas, which are both area of squares minus the area of the cicle of the hole.

- We need the interior aread, which is the same as the lateral area of a cylinder.

For the external part, we only need the dimensions of each rectangle. since they have the same length and the other sides are the sides of the squares, they are all the same.

The area of each of them is:

Since we have 4, the total exterior lateral area is:

For the top and bottom, both are the same, a square of 300 mm x 300 mm with a hole of 150 mm diameter.

First, let's get all to meters: 0.3 m x 0.3 m and 0.15 m diameter. The radius of the circle is half the diameter, so:

The area of a circle given its radius is:

So, the area of both the top and bottom is the area of the square minus the area of the circle and double all of this:

We deal with π later on.

For the lateral area of the cylinder, we can remember that it is the same as the area of a rectangle with on dimension being the length of the cylinder and the other being the circumference of the top/bottom.

the circumference of a circle is:

The radius is the same as the hole, and the length is 1.8m, so the lateral area of the cylinder is:

So, the total surface area is the sum of all of these:

Now, we just need to evaluate:

So, the lateral area is approximately 3.15 m².

The point of origin on the graph is (0,0) and the constant of proportionality is equal to 3.

The equation of a straight line is y=mx + c.  y = m x + c m is the gradient and c is the height at which the line crosses the y -axis, also known as the y -intercept.

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line.

In the given question, we are asked to find several values relating to the graph attached.

5) The point of origin on the graph is at (0,0) because the graph passes through the center along the straight line.

6) The constant of proportionality (k) is the value before the variable x.

The equation of the line is y = 3x.

The constant of proportionality of the equation is equal to 3.

7) The value of the ratio k is given as y/x

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We are not concerned with the tiles needed for the kitchen.

From the given information, there are two bathroom floors with the same measurement in terms of area. The area of each floor is 30.5 square feet

Area of both bathroom floors = 30.5*2 = 61 square feet

Area of the third bathroom = 42.5 square feet

Area of the three bathroom floors = 61 + 42.5 = 103.5 square feet

Given that the tile costs 2.39 per sqare foot, the least amount of money that the company would spend for all three tiles is

103.5 * 2.39 = 247.365

Rounding up to the nearest cent means rounding up to the nearest hundredth or 2 decimal places

Rounding up to the nearest cent, it becomes 247.37

The given expression is,

So, this can be solved as,

Explanations:

To solve the mixed fraction,

So, now we are adding the terms, as given in the expression,

Here we are employing the rule,

p = number of people who can go to amusement park

Amount they want to spend is no more than $305. This means there expenses will be less than or equals to $305.

parking = $19

cost per person = $26

Therefore,

In order to calculate the result of this division, let's first convert the mixed number 1 1/3 into a fraction:

Now, calculating the division, we have:

So the result is 6.

Answer:

x = -83/6 = -13.833

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

13*x-5+171-(x)=0

1.1     Pull out like factors :

  12x + 166  =   2 • (6x + 83)

2.2      Solve  :    6x+83 = 0

Subtract  83  from both sides of the equation :

                     6x = -83

Divide both sides of the equation by 6:

                    x = -83/6 = -13.833

Given:

The dimensions of a rectangular prism are measured in centimetres.

Required:

What unit will the volume of the prism be measured in?

Explanation:

The volume of the prism will be measured in square centimetres

Final Answer:

Square centimeters

we are given the sum of the following fractions:

To sum these fractions we may multiply the numerator and denominator of the second fraction by 5, like this:

Since now they have the same denominator we can add the numerators and leave the same denominator, like this:

Now we can simplify the resulting fraction by dividing the numerator and denominator by 2:

Therefore, the sum of the two fractions is 3/5

If Sports Authority marks up New Balance sneakers for $30 and sells them for $109, then the cost will be $79 while the percent markup will be 37.97%.

The original cost of the product can be obtained by subtracting the markup price from the selling price as seen below.

Cost = selling price - markup

Cost = $109 - $30

Cost = $79

Thus, we arrive at the result that the cost of the product by Sports Authority is $79.

Next, we calculate the percent markup with the formula below:

Percent markup =  Markup/cost × 100

Percent markup = 30/79 × 100

= 37.97%

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We have to calculate a 90% confidence interval for the proportion that chose the answer "Spruce".

The sample proportion is p = 0.869:

The standard error of the proportion is:

The critical z-value for a 90% confidence interval is z = 1.645.

The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

Answer: The 90% confidence interval for the population proportion is (0.838, 0.900).

C

1) The distributive property allows us to rewrite some product in factors.

2) Let's then examine that equation:

3) Then examining the options, the only option that displays the correct application of the Distributive Property on the left side is: C

Let's list all information we have:

- quadrilateral (4 sides)

- opposite sides congruent and parallel.

- all angles are 90°

- diagonal are congruent.

So, if we have a quadrilateral, we have something like this:

However, it is given that all anlges are 90°, which limits our possible drawing. So, something like this:

Let's see, this is a rectangle, it has opposite side congruent (equal length), the opposite sides are parallel, all the angles are 90° and the Diagonals have equal lengths, because they form congruent triangles.

It could also be a square:

Beucase it has all of the characteristics given.

There are 48 apples in 4 dozen

1 dozen = 12

This means that:

1 dozen of apples = 12 apples

4 dozen = 12 x 4

4 dozen = 48 apples

Given

The path of particle 1 is,

And, the path of second particle is,

To model the path of the two particles in cartesian form and to find whether, the two particles collide.

Explanation:

It is given that,

The path of the first particle is,

That implies,

Consider,

Therefore,

Also, the path of second particle is,

That implies,

Consider,

Therefore,

Hence, y=(x^2+8x+12)/4, y=2x^2-15 are the paths of the two particles respectively.

The graph of the path of the two particles are,

From, this it is clear that the particle collide at the points (-2.686, -0.568) and (3.829, 14.324).

The area A of a circle is given by

where Pi is 3.1416 and r is the radius. In our case, we get

and we need to find r. In this regard, if we move Pi to the left hand side we get

then, r is given by

Now, the circunference C is given by

then, by substituting our last result into this formula, we have

since square root of 100 is 10, we get

we can rewrite this result as

and we can cancel out a square root of Pi. Then, we have

and the circunference is

For the shampoo:

Company A charges $5 per ounce bottle + $5 handling fee.

Company B charges $2 per ounce bottle + $23 handling fee.

Let C represent the total cost for the shampoo and x represent the number of bottles of shampoo then you can express the total cost for both companies as equations:

For the hairdresser to justify using the shampoo of company C, the cost must be less than for company A, so that:

Solve by substitution;

The given expression in the question is

with the value of h given as

By equating both equations, we will have

To find the value of t we will use the quadratic formula of

which is

By substitution, we will have

Alternatively, Solving the equation graphically we will have

Therefore,

The values of t( to the nearest hundredth) t= 0.89sec or 0.42sec

The average rate of change is given by the rate of change of both variables.

"Rate" refers to a division. We want to divide the change of y, Δy, by the change of x, Δx:

Δy/Δx

("Δ" means "change").

We want to analyze the change over the interval 3 ≤ x ≤ 9.​

The change from x = 3 and x = 9 is

Δx = 9 - 3 = 6

We observe the right column of the table. When x = 3, y = 28 and when x = 9, y = 4.

The change from y = 28 to y = 4 is

Δy = 4 - 28 = -24

Then, the average rate of change is:

Δy/Δx = -24/6 = -4

Answer: -4

We have to write an equation of a quadratic function that has a vertex at (3,9) and pass through the origin.

We can use the vertex form of the quadratic equation:

where the vertex has coordinates (h,k).

In this case, (h,k) = (3,9).

From the formula we can see that the parameter a that can take any value and still have the same vertex. We will use the parameter "a" to make it pass through the origin.

The vertex form of the equation is then:

As it pass through the origin, then the equation should be satisfied when x = 0 and y = 0:

Then, as a = -1, we can write the equation as:

Answer: An example of quadratic function with vertex (3,9) that pass through the origin is y = -(x-3)² + 9.

Answer:

2

Step-by-step explanation: 2 can be divided by 644532

The solutions are the values of x that makes the expression equal to zero:

x-5 =0

Add 5 to both sides

x=5

4x-5=0

Add five to both sides

4x=5

Divide both sides by 4

x= 5/4

x=1.25

According to the problem, we have

We have to find the percent of callers who are on hold between 3.4 minutes and 4.5 minutes.

First, we find the z-score

For x = 3.4

For x = 4.5

The probability we have to find is

The quadratic equation that gives the height of the rocket, h = 156·t - 16·t² is evaluated at h = 60 feet to give the two times the rocket's height is 60 feet as 0.40 seconds and 9.35 seconds.

A quadratic equation is an equation of the second degree that can be expressed in the form; a·x² + b·x + c = 0, where the letters, a, and b represents the coefficients of x and c is a constant.

The initial velocity of the rocket = 156 ft./s upwards

The given equation of the rocket is: h = 156·t - 16·t²

The times when the rocket height is 60 feet are found by plugging in the value h = 60, in the equation of the vertical height of the rocket as follows:  

h = 60 = 156·t - 16·t²

156·t - 16·t² - 60 = 0

4·(39·t - 4·t² - 15) = 0

Therefore: [tex]39\cdot t - 4\cdot t^2 - 15 = \dfrac{0}{4} =0[/tex]

39·t - 4·t² - 15 = 0

-4·t² + 39·t - 15 = 0

From the quadratic formula which is used to solve the quadratic equation of the form; f(x) = a·x² + b·x + c, is presented as follows;

[tex]x = \dfrac{-b\pm\sqrt{b^2-4\cdot a \cdot c} }{2\cdot a}[/tex]

The solution of the equation, -4·t² + 39·t - 15 = 0, is therefore:

[tex]t = \dfrac{-39\pm\sqrt{(39)^2-4\times (-4) \times (-15)} }{2\times (-4)}= \dfrac{-39\pm\sqrt{1281} }{-8}[/tex]

Therefore, when the height of the rocket is 60 feet, the times are: [tex]t = \dfrac{-39-\sqrt{1281} }{-8}\approx 9.35[/tex] and [tex]t = \dfrac{-39+\sqrt{1281} }{-8}\approx 0.40[/tex]

The times when the height of the rocket is 60 feet, the times are:

t ≈ 9.35 s, and t ≈ 0.40 s

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