If 11 people each own of an acre of
2/19
land and they put all their land together
how much land, in acres, would they

By using Quadratic formula, the solutions are

[tex]x = {3 + 2\sqrt{2}}[/tex] or [tex]x = {3 - 2\sqrt{2}}[/tex]

What is Quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as Quadratic equation.

If [tex]ax^2+bx + c = 0 (a\neq 0)[/tex] be a quadratic equation,

[tex]x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

This is the quadratic formula

Here,

The given quadratic equation is

[tex]3x^2 = 7x - 3\\3x^2 - 7x + 3 = 0\\[/tex]

a = 1, b = -6, c = 1

x =

[tex]\frac{-(-6)\pm\sqrt{(-6)^2 - 4\times 1 \times 1}}{2\times 1}\\\frac{6 \pm \sqrt{36 - 4}}{2}\\\frac{6 \pm \sqrt{32}}{2}\\\frac{6 \pm 4\sqrt{2}}{2}\\\frac{2(3 \pm 2\sqrt{2})}{2}\\{3 \pm 2\sqrt{2}}[/tex]

[tex]x = {3 + 2\sqrt{2}}[/tex] or [tex]x = {3 - 2\sqrt{2}}[/tex]

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Answer:

Yes

Explanation:

Yes, 3.0 is equal to 3.0000 because in Mathematics, once we have only zeros after the decimal point, we can discard them and write only the whole number part. So 3.0 and 3.0000 can both be written as 3.

Explanation:

The absolute value of any number is always positive it doesn't matter if the number is positive or negative.

In this case we have that the absolute value of p is 12, therefore p could be 12 or -12

Answers:

• -12

• 12

Answer:

Step-by-step explanation:

12 and -12 is the answer

A and F

Let's check the information given so far to answer the question correctly:

Donovan target = 70%

Donovan currently average with 7 grades = 68%

By definition, the slope of a line is:

You can observe that it is the change in "y" divided by the change in "x".

In this case, you have the following slope:

Then the change in "y" in 2 and the change is "x" is 3.

Given the point (-4,1), you can follow these steps to graph the line:

1. Plot the given point on the coordinate plane.

2. Knowing that the slope is

You must move 3 units to the right and then 2 units up. This will give you a new point.

3. Graph the line. It must pass through those points.

The graph is:

We have to find the initial value in the account.

The interest rate is r = 1% = 0.01.

The time period is t = 6.

The final value after 6 years is FV = 1083.07.

The interest is compounded continously.

We can relate the present value PV with the other variables as:

Answer: the initial amount was $1020.00

Consider that the coefficient for the number of full bags is 7/8 and the number of bags is 5. By divinding these numbers you get the total amount of full bags:

when we have used division between fractions (Notice what we added a 1 denominator to 5).

Hence, the answer:

A. 7 divided by (8 x 5)

Here, we have a recipe that serves 4 people in the given ratio below;

Cider to Caramel syrup to Pumpskin spice = 4:1/4:1

Now to make for 8 people, we simply will multiply what we had in the original recipe by 2 since it was for 4 people initially

So the punch ratio for 8 people will be;

8 cups of Apple Cider

1/2 cups Caramel syrup

2 teaspoons of Pumpskin spice

For 12 people, we simply multiply what we had initially for 4 people by 3. This will be;

12 cups of Apple Cider

3/4 cups of Caramel syrup

3 teaspoons of Pumpskin spice

Answer:

Step-by-step explanation:

for 15 115 hours befor

EXPLANATION

The expression means that we need to compute the limit as the function f(x) approaches 3 from the right.

We need to use the lines that comes from the right of 3 and gets as close as we want to x=3.

That is the line that has the open circle around y=3

Therefore, the limit is equal to 3

Remember that the volume of a triangular pyramid can be calculated using the formula:

So first, let's calculate the area of the base:

Using this in the formula,

Thereby, the volume of the pyramid is 240 cubic centimiters

Given:

Required:

We need to find the domain and range of the given function.

Explanation:

Recall that the domain of a graph consists of all the input values shown on the x-axis.

Recall that the range is the set of possible output values, which are shown on the y-axis.

Final answer:

Step 1

Given;

Step 2

The apothem is a perpendicular line from the center of a regular polygon to one of the sides. O is the center of the regular polygon.

The radius of a regular polygon is a segment with one endpoint at the center and the other endpoint at one of the vertices. Thus, there are n radii in an n-sided regular polygon. The center and radius of a regular polygon are the same as the center and radius of a circle circumscribed about that regular polygon.

The perimeter of a regular polygon is a sum of the length of all the sides of the polygon.

Thus, the required parts are;

Answer; Option D

The volume of cone is calculated using this formula:

So, to obtain the volume of a cone, the radius and the height must be known.

We then multiply the value of the constant pi by the square of the radius and the height, and then divide the final result by 3.

The unit is cubic unit.

Given:

The coordinates of the figure ABC are,

A(-2,0)

B(-3,-4)

C(-1,-4)

To find the correct statement:

Let us find the coordinates after rotating the figure 90 degree clockwise direction.

As we know,

In a rotation of 90 degrees clockwise, every point (x,y) will be changed to (y, -x).

So, we get,

D(0,2)

E(-4, 3)

F(-4,1)

It perfectly matches with given graph.

So, Betty's statement is correct.

If we translate the figure two units up and two units right, the given point B (-3,-4) will be changed to (-1,-2) and its reflected point over the y-axis will be (1,-2).

But, this does not match with E(-4,3).

So, Veronica's statement is wrong.

Hence, Betty's statement alone is the correct one.

The area of the pool that Tanner does not need to cover is

20.125 square meters

Dimensions of the pool:

Length = 5 3/4 m by 3 1/2 m

area of rectangular pool

= product of dimensions

= 23/4 × 7/2

=20.125 square meters

Area is a unit of measurement used to describe a region's size on a flat or curved surface. While the area of a plane region or plan area refers to the area of a shape or planar lamina, surface area refers to the volume of a raised platform or the edge of a three-dimensional object.

Area is the two-dimensional equivalent of the volume of a solid as well as the length of a curve (a one-dimensional term). It can be compared to the amount of material of a certain thickness needed to create a model of the shape or the amount of paint needed to completely cover a surface in one application.

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The equation of a line has always the form

where "m" is called its slope, and "b" is called its y-intercept. It's a well-known fact that m can be calculated using two points of the line. Let's use A and B:

Then, our equation becomes

Replacing A there, we get

Having found m and b, the final answer is

In any right triangle with acute angles x and y, then

The sum of x and y is 90 degrees

Then for part (1)

Since triangle XYZ is a right angle at Z

Then

Then X and Y are complementary angles

Part (2)

sin X = opposite/hypotenuse

sin Y = opposite/hypotenuse

cos X = adjacent/hypotenuse

cos Y = adjacent/hypotenuse

Part (3)

Part (4)

Since sin = cos, then

The sum of the 2 angles must be 90

One of them is 23 degrees, then the other must be

The answer is

Let's look at the info we have for each term:

term 1 = 4

term 2 = 12

term 3 = 36

term 4 = 108

term 5 = ?

Notice that term 2 (12) is obtained from the previous term 1 (4) by multiplying it by the number 3:

12 = 4 * 3

Now, term number 3 is obtained from term 2 (the previous) also by multiplying it by 3:

36 = 12 * 3

term number 4 is obtained from multiplying the previous term (term 3) by the number 3 again:

108 = 36 * 3

Now, we can conclude that if the strategy carries on, term number 5 will be the product of the pervious term (108) times 3. That is:

term 5 = 108 * 3 = 324

Now, we need to decide on which formula better describes our function:

We find that the function is better described by the formula:

since we can verify:

term 1 =

term 2 =

term 3 =

term 4 =

So the correct answer is the second option they give you in the list.

A function is increasing when the y-value increases as the x-value increases. A function is decreasing when the y-value decreases as the x-value increases.

The domain is the set of allowable x-values.

The following graphs as labelled changes from decreasing to increasing at least once:

C, K, O, M, R

The negative sign reflects the graph across the x axis

Then, the answer is number B. It reflects the graph across the x-axis.

Question 5:

Step 1

From the figure, we can say that vertically opposite angles are equal.

Step 2:

From the diagram,

Answer:

4/5

Explanation:

Given the points (4,3) and (-6,-5), the slope of the line that passes through the two points is:

The slope of the line is 4/5.

5x + 9y = 31 -------------(1)

-2x - y = 11 ---------------(2)

Multiply through equation (2) by 9

-18x - 9y = -99---------------(3)

Add equation(1) and (2)

-13x = -68

Divide both-side by -13

x = 5.23

Substitute x in equation(1) and solve for y

-2(5.23) - y = 11

-10.46 - y = 11

Given:

There are given the equation:

Explanation:

To solve the above equation, we need to use the above equation:

Then,

Then,

Final answer:

Hence, the value of x is shown below:

Cofficient of variable terms is :

So the first variable

so the cofficent is -2

and the cofficent of second variable is:

So the cofficent of second term is 8.

ANSWER

48kg

EXPLANATION

In 1 minute, the factory makes 4.8kg of pumpkin pie filling, so in 10 minutes it will make,

In 10 minutes, the factory makes 48 kilograms of pumpkin pie filling.

ANSWER

C.) The solution is 32 because -88 + 72 = -16 and -16 times -2 = 32.

EXPLANATION

We have that 72 less than the quotient of a number and -2 is 88.

First, let us write the equation from the sentence above.

Let the number be x.

The quotient of x and -2 means x/-2

If we subtract 72 from that quotient, the answer is -88.

Therefore, the sentence is:

A cannot be correct because the equation is wrong.

B cannot be correct because the equation does not relate to the sentence given.

C is correct because if we solve for x from the equation, we get 32.

That is:

x/-2 = -88 + 72

x/-2 = -16

Multiply through by -2:

x = -16 * -2

x = 32

D cannot be correct because the equation does not relate to the sentence given.

The only correct option is C.

Thus x= -1.4 and y=1.6