Aaron and his friends Michael and Johnny order a pizza for lunch. They decide to save half of the pizza for dinner. How many slices of pizza will Aaron, Michael and Johnny each get?
(A) Create and explain a model for the division.
(B)Find the quotient. Show your work or explain your reasoning.

Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.

The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.

For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.

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Answer:

88

Step-by-step explanation:

to find the area of a trapezoid it’s Base 1 + Base 2 over 2 times height.

so it would look like 6+16/2 x 8

If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.

Given that,

the value of sin x = 0.2

We have to find the value of sin(π - x).

We know the trigonometric rule that,

sin(π - x) = sin (x)

for any value of x.

So here whatever the value of x, the value of  sin(π - x) is sin (x) itself.

So here sin x = 0.2.

So, by the rule,

sin(π - x) = sin (x) = 0.2

Hence the value is 0.2.

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Step-by-step explanation:

...........................

Answer:

3(1-5)+2(1)=3(-4)+2=-12+2=-10

Step-by-step explanation:

Hope this helps

Answer:

-10

Step-by-step explanation:

3(1-5)+2(1)

3(-4)+2

-12+2

-10

Answer:

Area of Parallelogram Using Diagonals ; Using Base and Height, A = b × h ; Using Trigonometry, A = ab sin (x) ; Using Diagonals, A = ½ × d1 × d2 .....

Using Diagonals: A = ½ × d1 × d2 sin (y)

Using Base and Height: A = b × h

Using Trigonometry: A = ab sin (x)

Let's see how the while loop functions for n = 2345. Inside the loop, the reversed number is calculated using the formula reverse = reverse * 10 + remainder. n. n != 0.

Given,

arr: [7, 234, 58100]

Expected Output:

7 + 432+ 18500 = 18939

Input:

arr: [0, 100, 220]

Expected Output:

0 + 100 + 220 = 320

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Answer:

I think its the first one? 12 <x<15

Step-by-step explanation:

Answer:

Since they have the same slope, they are parallel.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

\(y = mx + b\)

In which m is the slope. If two lines are parallel, they have the same slope.

4x−3y=6

Placing into the above format:

\(3y = 4x - 6\)

\(y = \frac{4x - 6}{3}\)

\(y = \frac{4x}{3} - 2\)

The slope \(m = \frac{4}{3}\)

y=4/3x−1

The slope is \(m = \frac{4}{3}\)

Since they have the same slope, they are parallel.

The area of the sector is 50.24ft² and the length of an arc is 16.75ft

The area of a sector of a circle is a fraction of the area of the entire circle, where the fraction is equal to the ratio of the central angle of the sector to the total central angle of the circle (which is 360 degrees or 2π radians).

The formula for the area of a sector of a circle is:

A = (θ/360) × πr²

Substituting the values into the formula;

A = (160/360) * 3.14 * (6)^2

A = 50.24ft²

b. The length of AB can be calculated using formula of length of an arc which is given as;

L = θ/360 * 2 πr

L = 160/360 * 2 * 3.14 * 6

L = 16.75ft

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Answer:

Part A

Eagle = 6 lbs * 60%

           = 6 * 0.6

           = 3.6 pounds

Bear = 105 lbs * 25%

         = 105 * 0.25

         = 26.25 pounds

3.6 + 26.25 = 29.85 pounds

Part B

Percent Increase = Change/Original * 100

                             = 10/105 * 100

                             = 9.52%

Step-by-step explanation:

hope this helps bye

The system of inequalities that has a solution (- 7, - 2) are C. and D.

Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Now, the system of inequalities that has a solution (- 7, - 2) must satisfy both inequalities simultaneously.

A. - 7 - 2 > - 9 not satisfied.

B. - 7 - 2 ≥ - 8 not satisfied.

C. - 7 - 2 < - 8 and 2(-7) - 5(-2) > - 4 ⇒ - 14 + 10 > - 5  satisfied.

D. - 7 - 2 ≥ - 9 and - 14 + 10 > - 5 ⇒ - 4 > - 5 satisfied.

So, C and D satisfy the conditions.

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Im Very sorry for the bots (I hate when they do this) BUT the answer is 8ft 3 Hope it helps!!

To create an exact copy of the sculpture, the volume of material they must purchase is \(8\,\text{f}{{\text{t}}^{3}}\).

The volume of a cuboid is calculated by multiplying its length, width, and height.

The length and width of the triangle are identical since the base is a square.

\(L = W = 2\,{\text{ft, and }}H = 6\,{\text{ft}}\)

Knows the volume of material he must purchase,

\(\text{Volume}=\frac{\text{Height}\times \text{length}\times \text{width}}{3}\)

So,

\(\Rightarrow \text{Volume}&=\frac{2\times 2\times 6}{3} \\\Rightarrow \text{Volume}&=2\times 2\times 2\,\text{f}{{\text{t}}^{3}} \\ \Rightarrow \text{Volume}&=8\,\text{f}{{\text{t}}^{3}} \\\)

Therefore, the volume of material they must purchase is \(8\,\text{f}{{\text{t}}^{3}}\).

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Answer:

10

Step-by-step explanation:

Answer:

9 Prizes

Step-by-step explanation:

She begins with 420 tickets.

She goes on 2 rides for 75 tickets each so 420-75-75= 270

She then attends the concert for 180 tickets so 270-180= 90

Now she is left with 90 tickets. 10 tickets = 1 prize therefore you can do 90/10 = 9

9 PRIZES

This axiom says that there is no upper bound to the number of elements that a set can have, thus, sets with infinite elements do exist.

First, we need to give the definition of an axiom. This is a proposition that is assumed to be true, and don't need a demonstration.

Axioms are the logical base of mathematics, so these are usually used to define concepts or basic rules.

In set theory,  the axiom of infinity just claims (and because it is an axiom, it must be true) that there are sets that have a infinite number of elements.

A trivial case is the set of real numbers, which we know has infinite elements because there are infinite real numbers.

So there is not a maximum for the number of elements that a set can have.

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Answer:

\(3\sqrt{3}\)

Step-by-step explanation:

The given is a special right triangle with angle measures 30-60-90

The measure of side lengths for this special right triangle are represented with

a-a\(\sqrt{3}\)-2a respectively

Now, since the side length that sees angle measure 30 is given as 3 (represented with a) then the measure of the side length that sees angle measure 60 would be \(3\sqrt{3}\)

Answer:

-1

Step-by-step explanation:

-10+11+x

To make the Expression 0, it will be

-10+11+x = 0

1+ x= O

x= -1

To check

if X= -1

-10 +11 + (-1) = 0

Answer:

40%

Step-by-step explanation:

In month of April, the percent of raining will be 40 %.

Given that, In the month of April, it rains 2 days for every 3 days that it does not rain.

It means that in 5 days, 2 days raining and 3 days  does not raining.

Number of days raining in 5 days = 2 days

Percent of raining is, \(=\frac{2}{5}*100 =40\)

Hence, In month of April, the percent of raining will be 40 %.

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Answer:

40

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

A circle is 360 degrees.

Anyway, first add 85 + 35 + 115 and you will get 235.

Now subtract 235 from 360.

360 - 235 = 125 degrees

Now to find x, do

-32x - 3 = 125

-32x = 128

-32x/-32 = 128/-32

x = -4

Hope it helped! My answer is expert verified.

Answer:

6(X+5)

Step-by-step explanation:

Stephanie has 6 groups of x+5 which is 6 x (x+5)

= 6(x+5)

Take x+5 and multiply it by six so the answer is x+5*6. Simplified would be x+30.

Answer:

bottom one

Step-by-step explanation:

9a-b-2a-10b      add like terms

7a-11b

Answer:

The weight unit is 200 pounds per tire

Step-by-step explanation:

75 = 3 x 5 x 5    in prime factorization

Answer:

Step-by-step explanation:

3x5x5

The existence and uniqueness theorem guarantees the existence of a unique solution to the initial value problem on some open interval containing \(X_o\). Therefore, the answer is (c) None of these.

We can use the existence and uniqueness theorem to determine for which values of \(X_o\) and yo the initial value problem has one and only one solution.

The existence and uniqueness theorem states that if a function f(x,y) and its partial derivative with respect to Y, ∂f/∂y, are continuous on a rectangle R = {(x,y) | |X - \(X_o\)| ≤ a, |Y - ,\(Y_o\)| ≤ b} containing the point ( \(X_o\),\(Y_o\)), then there exists a unique solution y(x) to the initial value problem y( \(X_o\)) = \(Y_o\) on some open interval containing \(X_o\).

In this case, we have:

f(x,y) = √y-7 / \((x-1)^2\)

∂f/∂y = 1/(2√y-7\((x-1)^2)\)

Both f(x,y) and ∂f/∂y are continuous everywhere except at the point (x,y) = (1,7),

where ∂f/∂y is not defined.

Therefore, we cannot guarantee the existence and uniqueness of a solution for the initial value problem when \(X_o\) = 1 and \(Y_o\) = 7.

For all other choices of xo and yo, we can choose a rectangle R containing the point ( \(X_o\),\(Y_o\)) where f(x,y) and ∂f/∂y are continuous, and hence the existence and uniqueness theorem guarantees the existence of a unique solution to the initial value problem on some open interval containing \(X_o\). Therefore, the answer is (c) None of these.

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Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

Answer:

the addition property of equality and then the division property of equality